TSTP Solution File: ALG392-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ALG392-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 12:10:42 EDT 2022
% Result : Timeout 300.01s 300.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ALG392-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jun 8 10:54:01 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.01/1.40 *** allocated 10000 integers for termspace/termends
% 1.01/1.40 *** allocated 10000 integers for clauses
% 1.01/1.40 *** allocated 10000 integers for justifications
% 1.01/1.40 *** allocated 15000 integers for termspace/termends
% 1.01/1.40 *** allocated 22500 integers for termspace/termends
% 1.01/1.40 *** allocated 33750 integers for termspace/termends
% 1.01/1.40 Bliksem 1.12
% 1.01/1.40
% 1.01/1.40
% 1.01/1.40 Automatic Strategy Selection
% 1.01/1.40
% 1.01/1.40 Clauses:
% 1.01/1.40 [
% 1.01/1.40 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_Polynomial_Opos__poly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 1.01/1.40 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Z, 'tc_nat' ) ) ), =( Y, Z )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 1.01/1.40 'c_Polynomial_Osmult'( Y, Z, X ), X ), 'c_Polynomial_Odegree'( Z, X ) ),
% 1.01/1.40 =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.01/1.40 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.40 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.40 Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z
% 1.01/1.40 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Fact_Ofact__class_Ofact'( Y,
% 1.01/1.40 'tc_nat' ), X ), X ) ],
% 1.01/1.40 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 1.01/1.40 Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.01/1.40 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Divides_Oring__div'( X ) ), =( 'c_Divides_Odiv__class_Odiv'(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.01/1.40 X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.40 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), Z, X ) ) ],
% 1.01/1.40 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.40 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), T, 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.01/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.01/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 1.01/1.40 T, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'(
% 1.01/1.40 Z, T, 'tc_Polynomial_Opoly'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.40 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y, X ),
% 1.01/1.40 Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 1.01/1.40 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.40 ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.40 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T,
% 1.01/1.40 Z, X ), 'tc_Polynomial_Opoly'( X ) ) ), =( T, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 1.01/1.40 T, 'tc_Polynomial_Opoly'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.40 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, 'tc_Polynomial_Opoly'(
% 1.01/1.40 X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.40 , =( T, 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( T, Z, X
% 1.01/1.40 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.40 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.40 ), X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.40 Y, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.40 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), T, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.01/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.01/1.40 'c_HOL_Oeq__class_Oeq'( Y, Y, 'tc_Polynomial_Opoly'( X ) ) ],
% 1.01/1.40 [ ~( 'class_HOL_Oeq'( X ) ), 'c_HOL_Oeq__class_Oeq'( Y, Y, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.40 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.40 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Omonom'( Z, T, X ), X ),
% 1.01/1.40 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.40 [ =( 'c_Power_Opower__class_Opower'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_nat' ) ), X, 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_nat' ) ) ) ],
% 1.01/1.40 [ =( 'c_Power_Opower__class_Opower'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_nat' ) ), X, 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_nat' ) ) ) ],
% 1.01/1.40 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_GCD_Ogcd__class_Ogcd'( Y, Z,
% 1.01/1.40 'tc_nat' ), 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Fact_Ofact__class_Ofact'( Y,
% 1.01/1.40 'tc_nat' ), X ), X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, T
% 1.01/1.40 , X ), 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Divides_Odiv__class_Odiv'( Y, Z
% 1.01/1.40 , X ), 'c_Divides_Odiv__class_Odiv'( T, Z, X ), X ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.40 Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.40 Z, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.40 , X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.40 , X ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.01/1.40 'c_Polynomial_Omonom'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.40 'c_Polynomial_Omonom'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.40 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.40 'c_Polynomial_Ocoeff'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_Polynomial_Ocoeff'( Y, T, X ), 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.40 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.01/1.40 'c_Polynomial_Omonom'( Y, Z, X ), Z, X ), Y ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), =( Y
% 1.01/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_Polynomial_Opos__poly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), X ), ~( 'c_Polynomial_Opos__poly'( Z, X ) )
% 1.01/1.40 , ~( 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 1.01/1.40 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.01/1.40 X ), X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), =( Y
% 1.01/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.40 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.40 , X ) ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), Y, X ), 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.40 Z, X ), 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.01/1.40 'c_Divides_Odiv__class_Odiv'( T, U, X ), X ),
% 1.01/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( U, T, X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ =( 'c_Fact_Ofact__class_Ofact'( 'c_Suc'( X ), 'tc_nat' ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), 'c_Fact_Ofact__class_Ofact'(
% 1.01/1.40 X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.40 ), =( Z, Y ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.40 , X ) ) ), =( Y, Z ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 1.01/1.40 , X ) ) ), =( Y, Z ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.40 Z, X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.40 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 , 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ =( 'c_Fact_Ofact__class_Ofact'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.40 , X ), X ) ) ],
% 1.01/1.40 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.01/1.40 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( 'c_GCD_Ogcd__class_Ogcd'( X
% 1.01/1.40 , 'c_Power_Opower__class_Opower'( Y, Z, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.40 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_Suc'( Y ), 'tc_nat' ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.40 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.40 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.40 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.40 X ), 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.40 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.40 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), 'c_HOL_Oinverse__class_Odivide'( Z,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.01/1.40 , 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'( Y
% 1.01/1.40 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), Z, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.01/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.01/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ) ) ), =( Y, Z ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.40 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.40 'c_Polynomial_Osmult'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, T, X ),
% 1.01/1.40 'c_Polynomial_Osmult'( Z, T, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.40 'c_Polynomial_Osmult'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_Osmult'( Y, T, X ),
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.40 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.40 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.01/1.40 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.01/1.40 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.40 'c_HOL_Oeq__class_Oeq'( Z, U, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 1.01/1.40 'c_HOL_Oeq__class_Oeq'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, T, X ),
% 1.01/1.40 'c_Divides_Odiv__class_Odiv'( Z, T, X ), X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( T, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 1.01/1.40 , X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_lessequals'( Z, Y, X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_Polynomial_Odegree'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'(
% 1.01/1.40 X ) ), X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'(
% 1.01/1.40 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 1.01/1.40 'c_Suc'( 'c_Polynomial_Oorder'( Y, Z, X ) ), 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.40 , Z, 'tc_Polynomial_Opoly'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.40 [ =( 'c_Power_Opower__class_Opower'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_nat' ), 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.01/1.40 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , Z, X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z, T, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z, X ) )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.40 'c_Polynomial_Odegree'(
% 1.01/1.40 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), X
% 1.01/1.40 ), 'c_Polynomial_Odegree'( Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( U, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), U, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.40 , ~( 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'( T, Y,
% 1.01/1.40 X ), Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_Polynomial_Osmult'( Z, T, X
% 1.01/1.40 ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.40 ), X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.40 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 1.01/1.40 'c_Polynomial_OpCons'( Y, Z, X ), T, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_Polynomial_Osmult'( T,
% 1.01/1.40 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 1.01/1.40 ), 'c_Polynomial_OpCons'( Y,
% 1.01/1.40 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Z, T, X ), X
% 1.01/1.40 ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.01/1.40 ), X ), Y ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.01/1.40 'c_Fact_Ofact__class_Ofact'( Y, 'tc_nat' ), X ), X ), X ) ],
% 1.01/1.40 [ =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.40 'c_Polynomial_Ocoeff'( 'c_Polynomial_Osmult'( Y, Z, X ), T, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Ocoeff'( Z, T, X ), X ) )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.01/1.40 'c_Polynomial_Omonom'( Y, Z, X ), T, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 ), =( Z, T ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 1.01/1.40 , X ), 'c_lessequals'( Y, Y, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.40 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.40 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_Suc'( X ), X, 'tc_nat' ),
% 1.01/1.40 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.01/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.40 Z, 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, X, 'tc_nat' ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.01/1.40 'c_Polynomial_OpCons'( Y, Z, X ), 'c_Suc'( T ), X ),
% 1.01/1.40 'c_Polynomial_Ocoeff'( Z, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.01/1.40 'c_HOL_Oeq__class_Oeq'( Y, Z, X ), ~( 'c_HOL_Oeq__class_Oeq'(
% 1.01/1.40 'c_Polynomial_OpCons'( Y, T, X ), 'c_Polynomial_OpCons'( Z, U, X ),
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.40 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.40 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =(
% 1.01/1.40 'c_GCD_Ogcd__class_Ogcd'( X, Z, 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.40 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.40 , 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =(
% 1.01/1.40 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ), 'c_HOL_Oone__class_Oone'(
% 1.01/1.40 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.40 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.40 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.40 , 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.01/1.40 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 Z, X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.01/1.40 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Polynomial_Ocoeff'( Y,
% 1.01/1.40 'c_Polynomial_Odegree'( Y, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Polynomial_Ocoeff'( Y, 'c_Polynomial_Odegree'( Y, X ), X ), X ), ~(
% 1.01/1.40 'c_Polynomial_Opos__poly'( Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.01/1.40 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.40 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.40 'c_Power_Opower__class_Opower'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.01/1.40 T, X ), 'c_Divides_Odiv__class_Odiv'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.40 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.01/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.40 , 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.01/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.40 , X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.40 Y, X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.40 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_GCD_Ogcd__class_Ogcd'( Y, Z,
% 1.01/1.40 'tc_nat' ), 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( Y,
% 1.01/1.40 'c_GCD_Ogcd__class_Ogcd'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.40 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat'
% 1.01/1.40 ), Z, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, 'c_GCD_Ogcd__class_Ogcd'(
% 1.01/1.40 Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.40 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat'
% 1.01/1.40 ), Z, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, 'c_GCD_Ogcd__class_Ogcd'(
% 1.01/1.40 Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 1.01/1.40 'c_Polynomial_Omonom'( Y, Z, X ), X ), Z ), =( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Z, X )
% 1.01/1.40 , T, X ), X ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ],
% 1.01/1.40 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat'
% 1.01/1.40 ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_OpCons'( Y, Z, X ), T,
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_Polynomial_Osmult'( Y, T, X ), 'c_Polynomial_OpCons'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_OpCons'( Z, T, X ),
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_Polynomial_Osmult'( Z, Y, X ), 'c_Polynomial_OpCons'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.40 , Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.40 , Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.40 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.40 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.40 ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.40 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ), ~( 'c_lessequals'( U, Z
% 1.01/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), U
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~(
% 1.01/1.40 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_HOL_Oeq'( X ) ), =( Y, Z ), ~( 'c_HOL_Oeq__class_Oeq'( Y, Z
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.01/1.40 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( 'c_GCD_Ogcd__class_Ogcd'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), Y, 'tc_nat' ),
% 1.01/1.40 'c_GCD_Ogcd__class_Ogcd'( Z, Y, 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.01/1.40 ~( 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'class_Int_Onumber'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_Int_Onumber__class_Onumber__of'( Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.40 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.40 , X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.40 Z, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.40 Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( T
% 1.01/1.40 , 'c_Polynomial_Osynthetic__div'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Ocoeff'(
% 1.01/1.40 Y, 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Z,
% 1.01/1.40 'c_Polynomial_Odegree'( Z, X ), X ) ) ), =( Y, Z ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.40 ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, 'tc_Polynomial_Opoly'(
% 1.01/1.40 X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( 'class_Int_Onumber'( X )
% 1.01/1.40 ), =( 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), X ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.40 ~( 'c_lessequals'( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.01/1.40 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), ~( =( 'c_GCD_Ogcd__class_Ogcd'(
% 1.01/1.40 X, Z, 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =(
% 1.01/1.40 'c_GCD_Ogcd__class_Ogcd'( X, 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat'
% 1.01/1.40 ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( =( 'c_Power_Opower__class_Opower'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X, 'c_Suc'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~(
% 1.01/1.40 'c_lessequals'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.01/1.40 ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.40 ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Z, Y, X
% 1.01/1.40 ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.40 ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( 'class_Int_Onumber__ring'( X
% 1.01/1.40 ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ) ) ), =( Y, Z ) ],
% 1.01/1.40 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_Power_Opower__class_Opower'( X, Y,
% 1.01/1.40 'tc_nat' ), 'c_Power_Opower__class_Opower'( Z, Y, 'tc_nat' ), 'tc_nat' )
% 1.01/1.40 , 'c_Power_Opower__class_Opower'( 'c_GCD_Ogcd__class_Ogcd'( X, Z,
% 1.01/1.40 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 Z, X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 Y, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), T
% 1.01/1.40 , X ), 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.40 X ), Z, X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.40 'c_Polynomial_Ocoeff'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_Polynomial_Odegree'( Y, X ), 'c_Polynomial_Odegree'( Z, X ), 'tc_nat'
% 1.01/1.40 ), X ), 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Ocoeff'( Y,
% 1.01/1.40 'c_Polynomial_Odegree'( Y, X ), X ), 'c_Polynomial_Ocoeff'( Z,
% 1.01/1.40 'c_Polynomial_Odegree'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 T, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Z, Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), T, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), Z, X ) ) ],
% 1.01/1.40 [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.40 , 'tc_nat' ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Z,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Osmult'( Y, Z, X ), T,
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_Osmult'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Divides_Odiv__class_Odiv'( Z, Y, X )
% 1.01/1.40 , X ), Z ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), Z
% 1.01/1.40 , X ), Y ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Nat_Osemiring__char__0'( X ) ), ~( =(
% 1.01/1.40 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Fact_Ofact__class_Ofact'( Y,
% 1.01/1.40 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.01/1.40 , X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'( Y
% 1.01/1.40 , X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z,
% 1.01/1.40 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ), 'tc_Polynomial_Opoly'( X
% 1.01/1.40 ) ), 'c_Polynomial_OpCons'( hAPP( 'c_Polynomial_Opoly'( Y, X ), Z ),
% 1.01/1.40 'c_Polynomial_Osynthetic__div'( Y, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( T, Z, X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Nat_Osemiring__1__class_Oof__nat'(
% 1.01/1.40 'c_Fact_Ofact__class_Ofact'( Y, 'tc_nat' ), X ), X ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.40 ), Y ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.40 ), Y ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.40 ), Y ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.01/1.40 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.01/1.40 'c_lessequals'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'(
% 1.01/1.40 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 1.01/1.40 'c_Polynomial_Oorder'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ), Z,
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'(
% 1.01/1.40 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 1.01/1.40 'c_Polynomial_Oorder'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ), Z,
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.01/1.40 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y ) ), =( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.40 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.40 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) )
% 1.01/1.40 ), =( 'c_HOL_Ozero__class_Ozero'( X ), Y ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.40 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_HOL_Oinverse__class_Odivide'( Y, Z,
% 1.01/1.40 X ), 'c_Int_Onumber__class_Onumber__of'( T, X ) ) ), =( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( T, X )
% 1.01/1.40 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , Z, X ), Z, X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ) ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 X ) ), 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.40 Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 T, X ), X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , T, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ),
% 1.01/1.40 ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Oinverse__class_Odivide'( Y, T, X
% 1.01/1.40 ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.40 X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T, Z, X
% 1.01/1.40 ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.40 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.40 X ), Y, X ) ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , Z, X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.40 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 1.01/1.40 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.01/1.40 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ) ), 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), Z, X ), Y, X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ],
% 1.01/1.40 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.01/1.40 'c_GCD_Ogcd__class_Ogcd'( Y, X, 'tc_nat' ) ) ],
% 1.01/1.40 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.01/1.40 'c_GCD_Ogcd__class_Ogcd'( Y, X, 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.40 , X ), X ), T, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T
% 1.01/1.40 , X ) ), ~( 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, 'c_Int_Onumber__class_Onumber__of'( T
% 1.01/1.40 , X ), X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ) ), ~( 'c_lessequals'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( T, X ), X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.40 ), X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.01/1.40 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( 'c_GCD_Ogcd__class_Ogcd'(
% 1.01/1.40 'c_Power_Opower__class_Opower'( X, Z, 'tc_nat' ),
% 1.01/1.40 'c_Power_Opower__class_Opower'( Y, T, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.40 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.40 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_GCD_Ogcd__class_Ogcd'( X, Y,
% 1.01/1.40 'tc_nat' ), 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, X, 'tc_nat' ), Z, 'tc_nat' ), 'tc_nat' )
% 1.01/1.40 , 'c_GCD_Ogcd__class_Ogcd'( X, Z, 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.01/1.40 'c_Polynomial_Omonom'( T, Z, X ) ) ), =( Y, T ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.40 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.40 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.01/1.40 'c_lessequals'( Z, Y, X ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 1.01/1.40 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 1.01/1.40 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z
% 1.01/1.40 ), X ), 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.40 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Z,
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.40 'tc_nat' ), X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.40 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.01/1.40 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.01/1.40 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.01/1.40 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.01/1.40 X ) ), 'c_Polynomial_OpCons'( Y, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.40 ~( 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), Z, 'tc_Polynomial_Opoly'( X ) ) ), ~(
% 1.01/1.40 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.01/1.40 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.40 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.01/1.40 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.40 'tc_Polynomial_Opoly'( X ) ) ), ~( 'c_HOL_Oeq__class_Oeq'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_Polynomial_Ocoeff'( 'c_Power_Opower__class_Opower'(
% 1.01/1.40 'c_Polynomial_OpCons'( Y, 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.40 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 1.01/1.40 Z, 'tc_Polynomial_Opoly'( X ) ), Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_Polynomial_Odegree'( 'c_Power_Opower__class_Opower'(
% 1.01/1.40 'c_Polynomial_OpCons'( Y, 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.40 X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 1.01/1.40 Z, 'tc_Polynomial_Opoly'( X ) ), X ), Z ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.01/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.01/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ), =( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, T, X ) ), =( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y
% 1.01/1.40 , X ), Z ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z
% 1.01/1.40 , X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ), Z ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), X ) ],
% 1.01/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.01/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.40 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , T, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.40 ), ~( 'c_lessequals'( Z, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.40 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , T, X ), X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Z, X ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 ), ~( 'c_lessequals'( T, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Otimes__class_Otimes'( Z, Y, X )
% 1.01/1.40 , X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , U, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.40 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.01/1.40 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.40 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.40 'c_Divides_Odiv__class_Odiv'( Z, T, X ) ), =( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 ), 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ),
% 1.01/1.40 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( T, Z, X )
% 1.01/1.40 , Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.40 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ),
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( T, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.40 T, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.40 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z,
% 1.01/1.40 X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.40 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), =(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.40 X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ) ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.40 , T, X ), Z ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.40 X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T,
% 1.01/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.40 X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X )
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'( T,
% 1.01/1.40 Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.40 , X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z,
% 1.01/1.40 X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( T,
% 1.01/1.40 Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), T, X )
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'( Y, T,
% 1.01/1.40 X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), =( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ) ), =(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_Int_Onumber__class_Onumber__of'( Z, X
% 1.01/1.40 ), X ), 'c_Int_Onumber__class_Onumber__of'( Z, X ), X ), Y ), =(
% 1.01/1.40 'c_Int_Onumber__class_Onumber__of'( Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~(
% 1.01/1.40 'class_Int_Onumber'( X ) ), =( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y, X
% 1.01/1.40 ), X ), 'c_Int_Onumber__class_Onumber__of'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.40 , T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.40 , T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.40 , T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X
% 1.01/1.40 ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Z, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ), T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~( 'c_lessequals'( T, Z, X
% 1.01/1.40 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.40 , Y, X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( T,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), Y, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.40 , ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~(
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.40 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.40 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.40 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.01/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.01/1.40 X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.40 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.01/1.40 , X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.40 , 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( T, Z, X )
% 1.01/1.40 , 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.40 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.40 X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.40 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.40 X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.01/1.40 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.40 X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z,
% 1.01/1.40 X ), 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.40 X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( T, Y
% 1.01/1.40 , X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Otimes__class_Otimes'( Y, T
% 1.01/1.40 , X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.40 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.40 , T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z,
% 1.01/1.40 X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.40 X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 1.01/1.40 , Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.40 , 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'( Y, T, X )
% 1.01/1.40 , 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.40 , Z, X ) ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), =( Y, Z ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.40 , Y, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , Z, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 1.01/1.40 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.40 , Z, X ), X ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.40 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.40 , T, X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.40 Y, T, X ), Z, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.40 'c_Polynomial_Osmult'( Y, 'c_Polynomial_Osmult'( Z, T, X ), X ),
% 1.01/1.40 'c_Polynomial_Osmult'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T, X ) )
% 1.01/1.40 ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.40 ,
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ), ~( 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.01/1.40 ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ), X
% 1.01/1.40 ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.40 X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ),
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.40 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.01/1.40 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.40 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.40 X ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.40 'c_Polynomial_Ocoeff'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 1.01/1.40 ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 1.01/1.40 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ),
% 1.01/1.40 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.40 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.40 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.01/1.40 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~(
% 1.01/1.41 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), Z ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, Y, X ), X ), Z ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), ~( 'c_lessequals'( Z, U, X )
% 1.01/1.41 ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 T, X ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X ), X ), Z ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Y, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, Z, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( Y, T, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Z, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Z
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , Z, X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X )
% 1.01/1.41 , Z, X ), Y ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41 , T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41 , T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Z, T, X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ) ) ), =( U,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ), =( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , U, X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( U,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.41 , U, X ), 'c_HOL_Oinverse__class_Odivide'( T, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.41 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 1.01/1.41 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.41 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Y, X
% 1.01/1.41 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.01/1.41 =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, T, X )
% 1.01/1.41 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.01/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X ), ~( 'c_lessequals'( Y, Z, X )
% 1.01/1.41 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41 ), =( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41 ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_HOL_Oinverse__class_Odivide'( Y
% 1.01/1.41 , Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( Y, Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.01/1.41 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.01/1.41 X ) ), =( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Z
% 1.01/1.41 , T, X ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, X ), Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Int_Onumber__class_Onumber__of'( Y, X )
% 1.01/1.41 , T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), ~( 'class_Int_Onumber'(
% 1.01/1.41 X ) ), =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z
% 1.01/1.41 , X ), 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( T, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, 'c_Int_Onumber__class_Onumber__of'( T, X
% 1.01/1.41 ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.01/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Z, X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.01/1.41 ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.01/1.41 [ ~( 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 Y, X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ouminus__class_Ouminus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.41 ), ~( =( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 T, Z, X ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X
% 1.01/1.41 ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.01/1.41 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Suc'( Y ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.41 Y, X ), Z, X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Z, T, X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.41 'c_Suc'( Z ), X ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 Y, X ), 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), X
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.01/1.41 , X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Y, T, X ) ) ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X
% 1.01/1.41 ), Y, X ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.01/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.41 'tc_nat' ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ),
% 1.01/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Osmult'(
% 1.01/1.41 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ),
% 1.01/1.41 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.41 'c_Polynomial_Osmult'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ), 'c_Suc'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.41 [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.41 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 Z, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, 'tc_nat' ), 'tc_nat' ) ) ), =( Z, T )
% 1.01/1.41 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), 'c_Suc'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X ), ~( 'c_lessequals'( Z, T, X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , Z ) ), =( Y, 'c_HOL_Ouminus__class_Ouminus'( T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__field'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, T
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.01/1.41 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.01/1.41 ~( 'c_lessequals'( 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( T ), X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( Z, 'c_Suc'( T ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, 'c_Int_Onumber__class_Onumber__of'( Z
% 1.01/1.41 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( T, 'c_Suc'( Z ), X ) ) ), =( Y, T ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Z, 'tc_nat' ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.01/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_Suc'( Y ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), X
% 1.01/1.41 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oone__class_Oone'( X ), X ), X ), Z
% 1.01/1.41 , X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_Polynomial_Osmult'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.01/1.41 X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.01/1.41 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_Polynomial_Ocoeff'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 1.01/1.41 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, 'c_Suc'( Z ), X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Omonom'( Y, Z, X ),
% 1.01/1.41 'c_Polynomial_Omonom'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 'c_Polynomial_Omonom'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_nat' ), X ) ) ],
% 1.01/1.41 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.41 ), X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_nat' ), 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( Y, Z ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ) ) ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, Z ) ],
% 1.01/1.41 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.41 , 'tc_nat' ), X ) ],
% 1.01/1.41 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X
% 1.01/1.41 , 'tc_nat' ), X ) ],
% 1.01/1.41 [ ~( =( 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.41 ), X, 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), Y, 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_nat' ), 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.41 ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 'c_Polynomial_Odegree'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.01/1.41 X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_Ocoeff'( Y,
% 1.01/1.41 'c_Polynomial_Odegree'( Y, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.01/1.41 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_Osmult'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T,
% 1.01/1.41 'tc_nat' ), X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.41 Y, X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X
% 1.01/1.41 ), T, X ), 'c_HOL_Oinverse__class_Odivide'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, T, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_Power_Opower__class_Opower'( Y, Z, X )
% 1.01/1.41 , T, X ), 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Z, T, 'tc_nat' ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Power_Opower__class_Opower'( Y
% 1.01/1.41 , Z, X ), 'c_Power_Opower__class_Opower'( T, Z, X ), X ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.41 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 1.01/1.41 , T ), =( X, Z ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.41 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( Z, T, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, T, 'tc_nat'
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( Z, Y, 'tc_nat' ), 'tc_nat' ) ) ), =( Y
% 1.01/1.41 , T ), =( X, Z ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ), 'c_Suc'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_Suc'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( X ), Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.41 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.41 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.41 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.41 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat' ), 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Z, 'tc_nat'
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.41 'tc_nat' ), Y, 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.41 'tc_nat' ), 'tc_nat' ), 'c_GCD_Ogcd__class_Ogcd'( X, Y, 'tc_nat' ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( X, Y,
% 1.01/1.41 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.41 Y, 'tc_nat' ), T, 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat'
% 1.01/1.41 ), Y, 'tc_nat' ), T, 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( X, 'c_HOL_Otimes__class_Otimes'( Y, 'c_GCD_Ogcd__class_Ogcd'( Z
% 1.01/1.41 , X, 'tc_nat' ), 'tc_nat' ) ) ), ~( =( Z, 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , 'c_GCD_Ogcd__class_Ogcd'( Z, X, 'tc_nat' ), 'tc_nat' ) ) ), =(
% 1.01/1.41 'c_GCD_Ogcd__class_Ogcd'( Z, X, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_nat' ) ), =( 'c_GCD_Ogcd__class_Ogcd'( T, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y, 'c_Suc'( Z )
% 1.01/1.41 , X ), 'c_Polynomial_OpCons'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Polynomial_Omonom'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_Polynomial_Opos__poly'( Z, X ), ~( 'c_Polynomial_Opos__poly'(
% 1.01/1.41 'c_Polynomial_OpCons'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.01/1.41 'c_Polynomial_Odegree'( Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) )
% 1.01/1.41 ), =( 'c_Polynomial_Osynthetic__div'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.01/1.41 'c_Polynomial_Osynthetic__div'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ) ) ), =( 'c_Polynomial_Odegree'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), 'tc_nat' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ),
% 1.01/1.41 'c_Fact_Ofact__class_Ofact'( X, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Odegree'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Odegree'( Y, X ),
% 1.01/1.41 'c_Polynomial_Odegree'( Z, X ), 'tc_nat' ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.01/1.41 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), X,
% 1.01/1.41 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_GCD_Ogcd__class_Ogcd'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.01/1.41 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.01/1.41 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.01/1.41 ), 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 1.01/1.41 , X, 'tc_nat' ), X ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( X, 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.01/1.41 ), 'tc_nat' ), X ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( X, 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( 'tc_nat' )
% 1.01/1.41 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.41 'c_Polynomial_Osmult'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( 'c_Polynomial_Osmult'( Y
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.41 'c_Polynomial_Osynthetic__div'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), Y, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.01/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.01/1.41 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.01/1.41 X ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~(
% 1.01/1.41 'c_Polynomial_Opos__poly'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), Y ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Polynomial_OpCons'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 1.01/1.41 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ),
% 1.01/1.41 'c_Polynomial_Osynthetic__div'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 'c_Polynomial_OpCons'( hAPP( 'c_Polynomial_Opoly'( Z, X ), Y ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), Z ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_Osmult'( Y, Z, X ),
% 1.01/1.41 'c_Polynomial_OpCons'( T, Z, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 1.01/1.41 'c_Polynomial_OpCons'( Y, Z, X ), X ), 'c_Suc'( 'c_Polynomial_Odegree'( Z
% 1.01/1.41 , X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.01/1.41 'c_HOL_Oeq__class_Oeq'( Y, Z, 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( T, Y, X ),
% 1.01/1.41 'c_Polynomial_OpCons'( U, Z, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_Polynomial_Opos__poly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_Polynomial_Opos__poly'( Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_Polynomial_Osmult'( Z, T, X ),
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), 'c_Polynomial_OpCons'( U, T, X ) ) ), =( U
% 1.01/1.41 , hAPP( 'c_Polynomial_Opoly'( Y, X ), Z ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =(
% 1.01/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'( Y, X ), 'c_Suc'(
% 1.01/1.41 'c_Polynomial_Odegree'( Y, X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.41 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y, 'c_Suc'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.41 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.41 ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.41 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'tc_nat' ), 'c_Suc'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring__1'( X ) ), =(
% 1.01/1.41 'c_Nat_Osemiring__1__class_Oof__nat'( 'c_HOL_Oone__class_Oone'( 'tc_nat'
% 1.01/1.41 ), X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ =( 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.41 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_Power_Opower__class_Opower'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.01/1.41 [ ~( =( X, 'c_HOL_Otimes__class_Otimes'( X, Y, 'tc_nat' ) ) ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y, 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ), =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( 'c_Polynomial_Omonom'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), Y, X ), Z, 'tc_Polynomial_Opoly'( X ) ), X
% 1.01/1.41 ), T ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( T
% 1.01/1.41 , Y, X ), hAPP( 'c_Polynomial_Opoly'( Z, X ), T ), X ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.41 'c_Polynomial_Osmult'( Y, 'c_Polynomial_OpCons'( Z, T, X ), X ),
% 1.01/1.41 'c_Polynomial_OpCons'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_Polynomial_Osmult'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.01/1.41 'c_Polynomial_OpCons'( T, U, X ), 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 'c_Polynomial_OpCons'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, U, 'tc_Polynomial_Opoly'( X ) ), X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_Suc'( X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'(
% 1.01/1.41 'tc_nat' ), X, 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_GCD_Ogcd__class_Ogcd'( 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ), X, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~( =(
% 1.01/1.41 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'(
% 1.01/1.41 X ), 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ), =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( X, 't_a' ), Y ), 'c_HOL_Ozero__class_Ozero'( 't_a'
% 1.01/1.41 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Ocoeff'(
% 1.01/1.41 'c_Polynomial_OpCons'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.41 , X ), Y ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( 'c_Polynomial_Osmult'( Y, Z, X ), X ), T ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, hAPP( 'c_Polynomial_Opoly'( Z, X ), T )
% 1.01/1.41 , X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), X ), T ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 hAPP( 'c_Polynomial_Opoly'( Y, X ), T ), hAPP( 'c_Polynomial_Opoly'( Z, X
% 1.01/1.41 ), T ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'(
% 1.01/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'( Y, Z, X ), X
% 1.01/1.41 ), T ), hAPP( 'c_Polynomial_Opoly'( Y, X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 Z, T, X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), X ), T ), 'c_HOL_Oplus__class_Oplus'( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( Y, X ), T ), hAPP( 'c_Polynomial_Opoly'( Z, X ), T
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X
% 1.01/1.41 ) ), X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( 'c_Power_Opower__class_Opower'( Y, Z,
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), X ), T ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 hAPP( 'c_Polynomial_Opoly'( Y, X ), T ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.01/1.41 'c_HOL_Oeq__class_Oeq'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.01/1.41 X ) ), Y, 'tc_Polynomial_Opoly'( X ) ), ~( 'c_HOL_Oeq__class_Oeq'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 'c_Polynomial_OpCons'( Z, Y, X ), 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), ~( =(
% 1.01/1.41 'c_Polynomial_Osmult'( Y, Z, X ), 'c_Polynomial_OpCons'( T, Z, X ) ) ),
% 1.01/1.41 =( Z, 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly'(
% 1.01/1.41 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), X ), Z, X ), 'c_Polynomial_OpCons'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ),
% 1.01/1.41 'c_Polynomial_Opos__poly'( Y, X ), ~( 'c_Polynomial_Opos__poly'(
% 1.01/1.41 'c_Polynomial_OpCons'( Z, Y, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( 'class_HOL_Oeq'( X ) ),
% 1.01/1.41 'c_HOL_Oeq__class_Oeq'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oeq__class_Oeq'( 'c_Polynomial_OpCons'( Z, Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =(
% 1.01/1.41 'c_Polynomial_Osynthetic__div'( 'c_Polynomial_OpCons'( Y, Z, X ), T, X )
% 1.01/1.41 , 'c_Polynomial_OpCons'( hAPP( 'c_Polynomial_Opoly'( Z, X ), T ),
% 1.01/1.41 'c_Polynomial_Osynthetic__div'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z,
% 1.01/1.41 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'( Z,
% 1.01/1.41 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y,
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Polynomial_OpCons'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_Polynomial_OpCons'(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), X ), X ), Y, 'tc_Polynomial_Opoly'( X ) ) )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Z, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , Z, X ), X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.01/1.41 'c_lessequals'( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.01/1.41 Y, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 Z, X ), X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ), Z, X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oinverse__class_Odivide'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ), T, X ) ), =( T,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), T, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, 'c_Divides_Odiv__class_Odiv'( Y, T, X ), X
% 1.01/1.41 ) ), =( T, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ), Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, 'c_Divides_Odiv__class_Odiv'( Y, Z, X ), X
% 1.01/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oinverse__class_Odivide'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, U, X ), 'c_HOL_Otimes__class_Otimes'( T
% 1.01/1.41 , Z, X ), X ), 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ), =( U,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.01/1.41 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Y
% 1.01/1.41 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.01/1.41 , X ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X ), ~( 'c_lessequals'( Y,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Y, X ), ~( 'c_lessequals'( Z,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Y, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Z, Y, X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Divides_Osemiring__div'( X ) ), =(
% 1.01/1.41 'c_Divides_Odiv__class_Odiv'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), Z, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_Divides_Odiv__class_Odiv'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), X ) ), 'c_HOL_Oord__class_Oless'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.41 ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Z, 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.41 , 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.41 , X ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.01/1.41 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_Int_Onumber__class_Onumber__of'( Y,
% 1.01/1.41 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.41 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ), =( 'c_Int_Onumber__class_Onumber__of'(
% 1.01/1.41 Y, 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( 'c_lessequals'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.41 , X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( Y, Z, X
% 1.01/1.41 ), X ), X ), ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Oone__class_Oone'( X )
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'(
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Oone__class_Oone'( X ), X ), Z, X
% 1.01/1.41 ), 'c_Power_Opower__class_Opower'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =(
% 1.01/1.41 'c_Fact_Ofact__class_Ofact'( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' )
% 1.01/1.41 , 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( Y, X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ), =(
% 1.01/1.41 'c_Polynomial_Oorder'( Z, Y, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.41 ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( 'c_Polynomial_Omonom'( Y, Z, X ), X ), T ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'( T, Z, X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 'c_Polynomial_OpCons'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Omonom'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_Polynomial_OpCons'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_Odegree'(
% 1.01/1.41 'c_Polynomial_OpCons'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), X ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.01/1.41 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.01/1.41 'class_Power_Opower'( X ) ), ~( =( 'c_Int_Onumber__class_Onumber__of'( Y
% 1.01/1.41 , 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of'( Y, 'tc_nat' ), X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( =( 'c_Polynomial_Oorder'(
% 1.01/1.41 Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ), ~( =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( Z, X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 Y, X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oone__class_Oone'( X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.01/1.41 X ), Y ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oone__class_Oone'( 'tc_nat' ),
% 1.01/1.41 X ), Y ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y
% 1.01/1.41 , Z, X ), 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, U, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ) ) ), =( Z, U ), =( Y, T ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), Z, X
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( Z, Y, X ), X
% 1.01/1.41 ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Z,
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), X ), Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, X ), X ), T ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'( T, hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( Z, X ), T ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, X, 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Z, Y,
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( =(
% 1.01/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'( Y, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.01/1.41 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.01/1.41 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =(
% 1.01/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( X ) ), X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, U, X ) ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), U ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Oone__class_Oone'( X ), Y, X ),
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), =( 'c_Polynomial_OpCons'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( T, Z,
% 1.01/1.41 X ) ) ), =( Y, T ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.01/1.41 X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), 'c_HOL_Oplus__class_Oplus'( Y, T,
% 1.01/1.41 X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ) ) ), =( Z, T ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ) ) ), =( Y, Z ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Z, Y, 'tc_nat' ) ) ), =( X, Z ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ), =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.01/1.41 X ) ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), =( hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.01/1.41 X ) ), X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( T, U, X ), X ), 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), 'c_HOL_Oplus__class_Oplus'( Z, U,
% 1.01/1.41 X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, Z, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_RealVector_Oreal__normed__algebra'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Z, 'c_HOL_Otimes__class_Otimes'( Y,
% 1.01/1.41 T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z, T, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z,
% 1.01/1.41 X ), T, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.41 T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T,
% 1.01/1.41 X ), Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), T
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.41 T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.41 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 T, X ), 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.41 T, X ), 'c_Power_Opower__class_Opower'( Z, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Y, X ), Y ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Y, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, Z, X ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 Z, T, X ), X ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ), =( T, U ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.01/1.41 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Y, T ) ],
% 1.01/1.41 [ ~( 'class_HOL_Ozero'( X ) ), ~( =( 'c_Polynomial_OpCons'( Y, Z, X ),
% 1.01/1.41 'c_Polynomial_OpCons'( T, U, X ) ) ), =( Z, U ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.01/1.41 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.41 ), =( 'c_Power_Opower__class_Opower'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.01/1.41 , X ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.41 , X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.01/1.41 =( 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.41 ), ~( =( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Y, Z, X )
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, Z, X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Otimes__class_Otimes'( Z,
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( T, U, X ), X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Z, U, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.01/1.41 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.01/1.41 ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_Power_Opower__class_Opower'( Y, Z, X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, T, X ), X ),
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.41 'tc_nat' ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), ~( =( Y, 'c_HOL_Oplus__class_Oplus'( Y, Z, X ) ) ), =( Z,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.01/1.41 [ ~( =( X, 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ) ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( =( 'c_HOL_Oplus__class_Oplus'( X, Y, 'tc_nat' ), X ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, 'c_HOL_Oone__class_Oone'( X ), X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( 'c_HOL_Oone__class_Oone'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z
% 1.01/1.41 , X ), 'c_HOL_Otimes__class_Otimes'( Y, T, X ), X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, T, X ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.41 , 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Otimes__class_Otimes'( Y, Z, X ), 'c_HOL_Otimes__class_Otimes'( Z
% 1.01/1.41 , Y, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( X, Y,
% 1.01/1.41 'tc_nat' ), Z, 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( X,
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Oplus__class_Oplus'( Y, Z,
% 1.01/1.41 'tc_nat' ), 'tc_nat' ), 'c_HOL_Oplus__class_Oplus'( Y,
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( X, Z, 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Z, 'c_HOL_Oplus__class_Oplus'( Y, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'( Y, Z, X ), T, X )
% 1.01/1.41 , 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T, X ), X
% 1.01/1.41 ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Oplus__class_Oplus'( Z, T,
% 1.01/1.41 'tc_nat' ), X ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( Y, Z, X ), 'c_Power_Opower__class_Opower'(
% 1.01/1.41 Y, T, X ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.01/1.41 ), ~( =( 'c_Power_Opower__class_Opower'( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_nat' ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( Y, Z, X ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'( T, Z, X ), U, X
% 1.01/1.41 ), X ), 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, T, X ), Z, X ), U, X ) ) ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.01/1.41 X ) ), =( Y, 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.01/1.41 ), X ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ =( X, 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_nat' ), 'tc_nat' ) ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.01/1.41 ), 'tc_nat' ), X ) ],
% 1.01/1.41 [ =( 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' )
% 1.01/1.41 , X, 'tc_nat' ), X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), Y )
% 1.01/1.41 ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( 't_a' ) ), ~(
% 1.01/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant'(
% 1.01/1.41 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'(
% 1.01/1.41 't_a' ) ), 't_a' ), 't_a', 't_a' ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oidom'( 't_a' ) ],
% 1.01/1.41 [ ~( =( hAPP( 'c_Polynomial_Opoly'( 'c_HOL_Ozero__class_Ozero'(
% 1.01/1.41 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ), 'v_x'( X, Y, Z ) ),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( hAPP( 'c_Polynomial_Opoly'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 't_a' ) ), 'c_HOL_Otimes__class_Otimes'(
% 1.01/1.41 'c_Power_Opower__class_Opower'( 'v_x'( X, Y, Z ), X, 't_a' ), hAPP(
% 1.01/1.41 'c_Polynomial_Opoly'( 'c_Polynomial_OpCons'( Y, Z, 't_a' ), 't_a' ),
% 1.01/1.41 'v_x'( X, Y, Z ) ), 't_a' ), 't_a' ) ) ), ~( =(
% 1.01/1.41 'c_HOL_Oplus__class_Oplus'( 'c_HOL_Oplus__class_Oplus'(
% 1.01/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'( Z, 't_a' ), X,
% 1.01/1.41 'tc_nat' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'tc_nat' ),
% 1.01/1.41 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize'(
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 'tc_Polynomial_Opoly'( 't_a' ) ), 't_a' ) ) )
% 1.01/1.41 , =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.01/1.41 'c_HOL_Ozero__class_Ozero'( 't_a' ) ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Ono__zero__divisors'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Oab__semigroup__mult'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Ocomm__semiring'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Ocomm__monoid__add'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Ozero__neq__one'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Ocomm__ring__1'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Osemiring__1'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Osemiring__0'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Oab__group__add'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Omult__zero'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Omonoid__mult'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Osemiring'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Omonoid__add'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Ogroup__add'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Oring__1'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Oring'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Odvd'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_Power_Opower'( X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), 'class_HOL_Ozero'( X ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_Ring__and__Field_Ocomm__ring'( X ) ],
% 1.01/1.41 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.01/1.41 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Polynomial_Opoly'(
% 1.01/1.41 X ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 ~( 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocancel__comm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.01/1.41 ],
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.01/1.41 ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.01/1.41 ],
% 1.01/1.41 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Divides_Osemiring__div'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Nat_Osemiring__char__0'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_Int_Onumber'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_HOL_Ozero'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_HOL_Oeq'( 'tc_nat' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.01/1.41 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.01/1.41 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.01/1.41 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_Int_Oint' )
% 1.01/1.41 ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'( 'tc_Int_Oint' )
% 1.01/1.41 ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_Int_Oint' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_Int_Oint' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_Ring__and__Field_Oring__no__zero__divisors'( 'tc_Int_Oint' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_Int_Oint' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Int_Oint' ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Olordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Osemiring'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oring__1'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Divides_Osemiring__div'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oring'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oidom'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Nat_Osemiring__char__0'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Odvd'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Orderings_Opreorder'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Orderings_Olinorder'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Divides_Oring__div'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Orderings_Oorder'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Int_Oring__char__0'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Int_Onumber__ring'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Power_Opower'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_Int_Onumber'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_HOL_Ozero'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_HOL_Oeq'( 'tc_Int_Oint' ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Opordered__cancel__semiring'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oring__1__no__zero__divisors'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__semiring__strict'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__comm__monoid__add'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oordered__idom'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oring__no__zero__divisors'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ]
% 1.01/1.41 ,
% 1.01/1.41 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'(
% 1.01/1.41 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__ring__strict'( 'tc_Polynomial_Opoly'(
% 1.01/1.41 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Opordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 1.01/1.41 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Oordered__ab__group__add'( 'tc_Polynomial_Opoly'(
% 1.01/1.41 X ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_Polynomial_Opoly'( X
% 1.01/1.41 ) ), ~( 'class_OrderedGroup_Ocancel__comm__monoid__add'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_Polynomial_Opoly'( X
% 1.01/1.41 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_Polynomial_Opoly'( X
% 1.01/1.41 ) ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_Polynomial_Opoly'( X
% 1.01/1.41 ) ), ~( 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_Polynomial_Opoly'( X )
% 1.01/1.41 ), ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_Polynomial_Opoly'( X
% 1.01/1.41 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__semiring__0'( 'tc_Polynomial_Opoly'( X
% 1.01/1.41 ) ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_Polynomial_Opoly'( X )
% 1.01/1.41 ), ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.41 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Opordered__ring'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.41 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.41 , ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.41 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.41 , ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oordered__idom'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.41 , ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Ocomm__ring__1'( 'tc_Polynomial_Opoly'( X ) )
% 1.01/1.41 , ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Osemiring__1'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Oab__group__add'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 ~( 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Omult__zero'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 ~( 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Omult__mono'( 'tc_Polynomial_Opoly'( X ) ),
% 1.01/1.41 ~( 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Osemiring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ocomm__semiring__0'( X ) ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Omonoid__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_OrderedGroup_Ocomm__monoid__add'( X ) ) ],
% 1.01/1.41 [ 'class_OrderedGroup_Ogroup__add'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_OrderedGroup_Oab__group__add'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oring__1'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.01/1.41 [ 'class_Divides_Osemiring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ofield'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ocomm__ring'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Oidom'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Oidom'( X ) ) ],
% 1.01/1.41 [ 'class_Nat_Osemiring__char__0'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.41 [ 'class_Ring__and__Field_Odvd'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.41 [ 'class_Orderings_Opreorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.41 [ 'class_Orderings_Olinorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.41 [ 'class_Divides_Oring__div'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ofield'( X ) ) ],
% 1.01/1.41 [ 'class_Orderings_Oorder'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.41 [ 'class_Int_Oring__char__0'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Oordered__idom'( X ) ) ],
% 1.01/1.41 [ 'class_Int_Onumber__ring'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.01/1.41 [ 'class_Power_Opower'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ) ],
% 1.01/1.41 [ 'class_Int_Onumber'( 'tc_Polynomial_Opoly'( X ) ), ~(
% 1.01/1.41 'class_Ring__and__Field_Ocomm__ring__1'( X ) ) ],
% 1.01/1.41 [ 'class_HOL_Ozero'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'(
% 1.01/1.41 X ) ) ],
% 1.01/1.41 [ 'class_HOL_Oeq'( 'tc_Polynomial_Opoly'( X ) ), ~( 'class_HOL_Ozero'( X
% 1.01/1.41 ) ), ~( 'class_HOL_Oeq'( X ) ) ]
% 1.01/1.41 ] .
% 1.01/1.41
% 1.01/1.41
% 1.01/1.41 percentage equality = 0.204753, percentage horn = 0.815471
% 1.01/1.41 This is a problem with some equality
% 1.01/1.41
% 1.01/1.41
% 1.01/1.41
% 1.01/1.41 Options Used:
% 1.01/1.41
% 1.01/1.41 useres = 1
% 1.01/1.41 useparamod = 1
% 1.01/1.41 useeqrefl = 1
% 1.01/1.41 useeqfact = 1
% 1.01/1.41 usefactor = 1
% 1.01/1.41 usesimpsplitting = 0
% 1.01/1.41 usesimpdemod = 5
% 1.01/1.41 usesimpres = 3
% 1.01/1.41
% 1.01/1.41 resimpinuse = 1000
% 1.01/1.41 resimpclauses = 20000
% 1.01/1.41 substype = eqrewr
% 1.01/1.41 backwardsubs = 1
% 1.01/1.41 selectoldest = 5
% 1.01/1.41
% 1.01/1.41 litorderings [0] = split
% 1.01/1.41 litorderings [1] = extend the termordering, first sorting on arguments
% 1.01/1.41
% 1.01/1.41 termordering = kbo
% 1.01/1.41
% 1.01/1.41 litapriori = 0
% 1.01/1.41 termapriori = 1
% 1.01/1.41 litaposteriori = 0
% 1.01/1.41 termaposteriori = 0
% 1.01/1.41 demodaposteriori = 0
% 1.01/1.41 ordereqreflfact = 0
% 1.01/1.41
% 1.01/1.41 litselect = negord
% 1.01/1.41
% 1.01/1.41 maxweight = 15
% 1.01/1.41 maxdepth = 30000
% 1.01/1.41 maxlength = 115
% 1.01/1.41 maxnrvars = 195
% 1.01/1.41 excuselevel = 1
% 1.01/1.41 increasemaxweight = 1
% 1.01/1.41
% 1.01/1.41 maxselected = 10000000
% 1.01/1.41 maxnrclauses = 10000000
% 1.01/1.41
% 1.01/1.41 showgenerated = 0
% 1.01/1.41 showkept = 0
% 1.01/1.41 showselected = 0
% 1.01/1.41 showdeleted = 0
% 1.01/1.41 showresimp = 1
% 1.01/1.41 showstatus = 2000
% 1.01/1.41
% 1.01/1.41 prologoutput = 1
% 1.01/1.41 nrgoals = 5000000
% 1.01/1.41 totalproof = 1
% 1.01/1.41
% 1.01/1.41 Symbols occurring in the translation:
% 1.01/1.41
% 1.01/1.41 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.01/1.41 . [1, 2] (w:1, o:125, a:1, s:1, b:0),
% 1.01/1.41 ! [4, 1] (w:0, o:49, a:1, s:1, b:0),
% 1.01/1.41 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.41 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.01/1.41 'c_Suc' [40, 1] (w:1, o:54, a:1, s:1, b:0),
% 1.01/1.41 'class_Ring__and__Field_Oordered__idom' [42, 1] (w:1, o:57, a:1, s:1
% 1.01/1.41 , b:0),
% 1.01/1.41 'tc_Polynomial_Opoly' [45, 1] (w:1, o:58, a:1, s:1, b:0),
% 1.01/1.41 'c_HOL_Oplus__class_Oplus' [46, 3] (w:1, o:164, a:1, s:1, b:0),
% 1.01/1.41 'c_Polynomial_Opos__poly' [47, 2] (w:1, o:150, a:1, s:1, b:0),
% 1.01/1.41 'class_Ring__and__Field_Oordered__field' [48, 1] (w:1, o:59, a:1, s:1
% 1.01/1.41 , b:0),
% 1.01/1.41 'class_Ring__and__Field_Odivision__by__zero' [49, 1] (w:1, o:65, a:1
% 1.01/1.41 , s:1, b:0),
% 1.01/1.41 'c_HOL_Ozero__class_Ozero' [51, 1] (w:1, o:66, a:1, s:1, b:0),
% 1.01/1.41 'c_HOL_Oord__class_Oless' [52, 3] (w:1, o:163, a:1, s:1, b:0),
% 1.01/1.41 'c_HOL_Oinverse__class_Odivide' [54, 3] (w:1, o:165, a:1, s:1, b:0),
% 1.01/1.41
% 1.01/1.41 'c_lessequals' [57, 3] (w:1, o:166, a:1, s:1, b:0),
% 1.01/1.41 'class_Ring__and__Field_Odivision__ring' [58, 1] (w:1, o:67, a:1, s:1
% 1.01/1.41 , b:0),
% 1.01/1.41 'c_HOL_Oinverse__class_Oinverse' [59, 2] (w:1, o:151, a:1, s:1, b:0)
% 1.01/1.41 ,
% 1.01/1.41 'class_Int_Onumber' [60, 1] (w:1, o:70, a:1, s:1, b:0),
% 1.01/1.41 'c_Int_Onumber__class_Onumber__of' [62, 2] (w:1, o:153, a:1, s:1, b:0
% 1.01/1.41 ),
% 1.01/1.41 'c_HOL_Otimes__class_Otimes' [64, 3] (w:1, o:167, a:1, s:1, b:0),
% 1.01/1.41 'tc_nat' [67, 0] (w:1, o:31, a:1, s:1, b:0),
% 1.01/1.41 'class_Ring__and__Field_Oidom' [68, 1] (w:1, o:71, a:1, s:1, b:0),
% 1.01/1.41 'c_Polynomial_Osmult' [69, 3] (w:1, o:168, a:1, s:1, b:0),
% 1.01/1.41 'c_Polynomial_Odegree' [70, 2] (w:1, o:154, a:1, s:1, b:0),
% 1.01/1.41 'class_Orderings_Oorder' [71, 1] (w:1, o:73, a:1, s:1, b:0),
% 1.01/1.41 'class_Orderings_Olinorder' [72, 1] (w:1, o:74, a:1, s:1, b:0),
% 1.01/1.41 'c_HOL_Ouminus__class_Ouminus' [73, 2] (w:1, o:152, a:1, s:1, b:0),
% 1.01/1.41 'class_Ring__and__Field_Ofield' [74, 1] (w:1, o:75, a:1, s:1, b:0),
% 1.01/1.41 'c_Ring__and__Field_Odvd__class_Odvd' [75, 3] (w:1, o:169, a:1, s:1
% 1.01/1.41 , b:0),
% 1.01/1.41 'class_Ring__and__Field_Oordered__semidom' [76, 1] (w:1, o:77, a:1
% 1.01/1.41 , s:1, b:0),
% 1.01/1.41 'c_Fact_Ofact__class_Ofact' [77, 2] (w:1, o:155, a:1, s:1, b:0),
% 1.01/1.41 'c_Nat_Osemiring__1__class_Oof__nat' [78, 2] (w:1, o:156, a:1, s:1
% 1.01/1.41 , b:0),
% 1.01/1.41 'class_Divides_Oring__div' [79, 1] (w:1, o:78, a:1, s:1, b:0),
% 1.01/1.41 'c_Divides_Odiv__class_Odiv' [80, 3] (w:1, o:170, a:1, s:1, b:0),
% 1.01/1.41 'class_Ring__and__Field_Ocomm__semiring__0' [81, 1] (w:1, o:62, a:1
% 1.01/1.41 , s:1, b:0),
% 1.01/1.41 'c_HOL_Oone__class_Oone' [84, 1] (w:1, o:79, a:1, s:1, b:0),
% 1.01/1.41 'class_HOL_Ozero' [85, 1] (w:1, o:68, a:1, s:1, b:0),
% 1.01/1.41 'class_HOL_Oeq' [86, 1] (w:1, o:69, a:1, s:1, b:0),
% 1.01/1.41 'c_HOL_Oeq__class_Oeq' [87, 3] (w:1, o:171, a:1, s:1, b:0),
% 1.01/1.41 'c_Polynomial_Omonom' [88, 3] (w:1, o:172, a:1, s:1, b:0),
% 2.46/2.88 'c_Power_Opower__class_Opower' [89, 3] (w:1, o:173, a:1, s:1, b:0),
% 2.46/2.88 'c_GCD_Ogcd__class_Ogcd' [90, 3] (w:1, o:162, a:1, s:1, b:0),
% 2.46/2.88 'class_Divides_Osemiring__div' [91, 1] (w:1, o:80, a:1, s:1, b:0),
% 2.46/2.88 'class_Ring__and__Field_Ocomm__ring__1' [92, 1] (w:1, o:60, a:1, s:1
% 2.46/2.88 , b:0),
% 2.46/2.88 'class_OrderedGroup_Ocomm__monoid__add' [93, 1] (w:1, o:81, a:1, s:1
% 2.46/2.88 , b:0),
% 2.46/2.88 'c_Polynomial_Ocoeff' [94, 3] (w:1, o:174, a:1, s:1, b:0),
% 2.46/2.88 'class_OrderedGroup_Opordered__ab__group__add' [95, 1] (w:1, o:83, a:
% 2.46/2.88 1, s:1, b:0),
% 2.46/2.88 'class_Ring__and__Field_Ocomm__semiring__1' [96, 1] (w:1, o:63, a:1
% 2.46/2.88 , s:1, b:0),
% 2.46/2.88 'class_Lattices_Oboolean__algebra' [97, 1] (w:1, o:84, a:1, s:1, b:0)
% 2.46/2.88 ,
% 2.46/2.88 'class_OrderedGroup_Ogroup__add' [98, 1] (w:1, o:85, a:1, s:1, b:0),
% 2.46/2.88
% 2.46/2.88 'class_Nat_Osemiring__char__0' [100, 1] (w:1, o:72, a:1, s:1, b:0),
% 2.46/2.88 'c_Polynomial_OpCons' [101, 3] (w:1, o:176, a:1, s:1, b:0),
% 2.46/2.88 'c_Polynomial_Oorder' [102, 3] (w:1, o:175, a:1, s:1, b:0),
% 2.46/2.88 'class_Int_Onumber__ring' [103, 1] (w:1, o:86, a:1, s:1, b:0),
% 2.46/2.88 'c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly' [105, 3]
% 2.46/2.88 (w:1, o:160, a:1, s:1, b:0),
% 2.46/2.88 'class_Orderings_Opreorder' [106, 1] (w:1, o:87, a:1, s:1, b:0),
% 2.46/2.88 'class_Ring__and__Field_Osemiring__1' [107, 1] (w:1, o:93, a:1, s:1
% 2.46/2.88 , b:0),
% 2.46/2.88 'class_OrderedGroup_Olordered__ab__group__add' [108, 1] (w:1, o:94
% 2.46/2.88 , a:1, s:1, b:0),
% 2.46/2.88 'class_OrderedGroup_Oordered__ab__group__add' [109, 1] (w:1, o:82, a:
% 2.46/2.88 1, s:1, b:0),
% 2.46/2.88 'c_Polynomial_Osynthetic__div' [113, 3] (w:1, o:177, a:1, s:1, b:0),
% 2.46/2.88
% 2.46/2.88 'class_Int_Oring__char__0' [114, 1] (w:1, o:95, a:1, s:1, b:0),
% 2.46/2.88 'class_RealVector_Oreal__normed__field' [115, 1] (w:1, o:96, a:1, s:1
% 2.46/2.88 , b:0),
% 2.46/2.88 'c_Polynomial_Opoly' [116, 2] (w:1, o:157, a:1, s:1, b:0),
% 2.46/2.88 hAPP [117, 2] (w:1, o:158, a:1, s:1, b:0),
% 2.46/2.88 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [118, 1]
% 2.46/2.88 (w:1, o:97, a:1, s:1, b:0),
% 2.46/2.88 'class_Ring__and__Field_Oordered__semiring__strict' [119, 1] (w:1, o:
% 2.46/2.88 98, a:1, s:1, b:0),
% 2.46/2.88 'class_Ring__and__Field_Oordered__ring__strict' [120, 1] (w:1, o:76
% 2.46/2.88 , a:1, s:1, b:0),
% 2.46/2.88 'class_Ring__and__Field_Oordered__comm__semiring__strict' [121, 1]
% 2.46/2.88 (w:1, o:99, a:1, s:1, b:0),
% 2.46/2.88 'class_Ring__and__Field_Omult__mono1' [122, 1] (w:1, o:100, a:1, s:1
% 2.46/2.88 , b:0),
% 2.46/2.88 'class_Ring__and__Field_Omult__mono' [123, 1] (w:1, o:101, a:1, s:1
% 2.46/2.88 , b:0),
% 2.46/2.88 'class_Ring__and__Field_Opordered__ring' [124, 1] (w:1, o:103, a:1
% 2.46/2.88 , s:1, b:0),
% 2.46/2.88 'class_Ring__and__Field_Opordered__cancel__semiring' [125, 1] (w:1
% 2.46/2.88 , o:104, a:1, s:1, b:0),
% 2.46/2.88 'class_Ring__and__Field_Opordered__semiring' [126, 1] (w:1, o:105, a:
% 2.46/2.88 1, s:1, b:0),
% 2.46/2.88 'class_Ring__and__Field_Oordered__semiring' [127, 1] (w:1, o:102, a:1
% 2.46/2.88 , s:1, b:0),
% 2.46/2.88 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [128, 1]
% 2.46/2.88 (w:1, o:106, a:1, s:1, b:0),
% 2.46/2.88 'class_OrderedGroup_Opordered__comm__monoid__add' [129, 1] (w:1, o:
% 2.46/2.88 107, a:1, s:1, b:0),
% 2.46/2.88 'class_Ring__and__Field_Oring' [130, 1] (w:1, o:88, a:1, s:1, b:0),
% 2.46/2.88 'class_RealVector_Oreal__normed__algebra' [131, 1] (w:1, o:108, a:1
% 2.46/2.88 , s:1, b:0),
% 2.46/2.88 'class_Ring__and__Field_Odvd' [133, 1] (w:1, o:109, a:1, s:1, b:0),
% 2.46/2.88 'class_OrderedGroup_Oab__group__add' [134, 1] (w:1, o:110, a:1, s:1
% 2.46/2.88 , b:0),
% 2.46/2.88 'class_OrderedGroup_Opordered__ab__semigroup__add' [135, 1] (w:1, o:
% 2.46/2.88 111, a:1, s:1, b:0),
% 2.46/2.88 'class_Ring__and__Field_Osemiring' [136, 1] (w:1, o:112, a:1, s:1, b:
% 2.46/2.88 0),
% 2.46/2.88 'class_Ring__and__Field_Ozero__neq__one' [137, 1] (w:1, o:113, a:1
% 2.46/2.88 , s:1, b:0),
% 2.46/2.88 'class_Ring__and__Field_Ono__zero__divisors' [138, 1] (w:1, o:56, a:1
% 2.46/2.88 , s:1, b:0),
% 2.46/2.88 'class_Ring__and__Field_Omult__zero' [139, 1] (w:1, o:55, a:1, s:1
% 2.46/2.88 , b:0),
% 2.46/2.88 'class_Power_Opower' [140, 1] (w:1, o:123, a:1, s:1, b:0),
% 2.46/2.88 'class_Ring__and__Field_Osemiring__0' [141, 1] (w:1, o:92, a:1, s:1
% 2.46/2.88 , b:0),
% 2.46/2.88 'class_OrderedGroup_Omonoid__mult' [142, 1] (w:1, o:114, a:1, s:1, b:
% 2.46/2.88 0),
% 2.46/2.88 'c_Fundamental__Theorem__Algebra__Mirabelle_Opsize' [151, 2] (w:1, o:
% 16.36/16.78 159, a:1, s:1, b:0),
% 16.36/16.78 't_a' [152, 0] (w:1, o:42, a:1, s:1, b:0),
% 16.36/16.78
% 16.36/16.78 'v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2'
% 16.36/16.78 [153, 1] (w:1, o:124, a:1, s:1, b:0),
% 16.36/16.78 'class_Ring__and__Field_Oring__1' [154, 1] (w:1, o:89, a:1, s:1, b:0)
% 16.36/16.78 ,
% 16.36/16.78 'class_Ring__and__Field_Oring__no__zero__divisors' [155, 1] (w:1, o:
% 16.36/16.78 90, a:1, s:1, b:0),
% 16.36/16.78 'class_OrderedGroup_Ocancel__semigroup__add' [156, 1] (w:1, o:115, a:
% 16.36/16.78 1, s:1, b:0),
% 16.36/16.78 'class_OrderedGroup_Ocancel__ab__semigroup__add' [157, 1] (w:1, o:116
% 16.36/16.78 , a:1, s:1, b:0),
% 16.36/16.78 'class_Ring__and__Field_Ocomm__semiring' [158, 1] (w:1, o:64, a:1, s:
% 16.36/16.78 1, b:0),
% 16.36/16.78 'class_OrderedGroup_Oab__semigroup__mult' [163, 1] (w:1, o:117, a:1
% 16.36/16.78 , s:1, b:0),
% 16.36/16.78 'class_OrderedGroup_Ocomm__monoid__mult' [164, 1] (w:1, o:118, a:1
% 16.36/16.78 , s:1, b:0),
% 16.36/16.78 'class_OrderedGroup_Oab__semigroup__idem__mult' [165, 1] (w:1, o:119
% 16.36/16.78 , a:1, s:1, b:0),
% 16.36/16.78 'class_Ring__and__Field_Oring__1__no__zero__divisors' [166, 1] (w:1
% 16.36/16.78 , o:91, a:1, s:1, b:0),
% 16.36/16.78 'class_OrderedGroup_Oab__semigroup__add' [167, 1] (w:1, o:120, a:1
% 16.36/16.78 , s:1, b:0),
% 16.36/16.78 'class_OrderedGroup_Omonoid__add' [169, 1] (w:1, o:121, a:1, s:1, b:0
% 16.36/16.78 ),
% 16.36/16.78 'c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant' [170, 3] (w:1
% 16.36/16.78 , o:161, a:1, s:1, b:0),
% 16.36/16.78 'v_x' [173, 3] (w:1, o:178, a:1, s:1, b:0),
% 16.36/16.78 'class_Ring__and__Field_Ocomm__ring' [175, 1] (w:1, o:61, a:1, s:1
% 16.36/16.78 , b:0),
% 16.36/16.78 'class_OrderedGroup_Ocancel__comm__monoid__add' [176, 1] (w:1, o:122
% 16.36/16.78 , a:1, s:1, b:0),
% 16.36/16.78 'tc_Int_Oint' [178, 0] (w:1, o:48, a:1, s:1, b:0).
% 16.36/16.78
% 16.36/16.78
% 16.36/16.78 Starting Search:
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78
% 16.36/16.78 Intermediate Status:
% 16.36/16.78 Generated: 3460
% 16.36/16.78 Kept: 2013
% 16.36/16.78 Inuse: 90
% 16.36/16.78 Deleted: 6
% 16.36/16.78 Deletedinuse: 0
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78
% 16.36/16.78 Intermediate Status:
% 16.36/16.78 Generated: 8243
% 16.36/16.78 Kept: 4014
% 16.36/16.78 Inuse: 220
% 16.36/16.78 Deleted: 10
% 16.36/16.78 Deletedinuse: 0
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78
% 16.36/16.78 Intermediate Status:
% 16.36/16.78 Generated: 13311
% 16.36/16.78 Kept: 6025
% 16.36/16.78 Inuse: 319
% 16.36/16.78 Deleted: 13
% 16.36/16.78 Deletedinuse: 0
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78
% 16.36/16.78 Intermediate Status:
% 16.36/16.78 Generated: 19593
% 16.36/16.78 Kept: 8026
% 16.36/16.78 Inuse: 408
% 16.36/16.78 Deleted: 20
% 16.36/16.78 Deletedinuse: 0
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78
% 16.36/16.78 Intermediate Status:
% 16.36/16.78 Generated: 27638
% 16.36/16.78 Kept: 10528
% 16.36/16.78 Inuse: 474
% 16.36/16.78 Deleted: 27
% 16.36/16.78 Deletedinuse: 0
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78
% 16.36/16.78 Intermediate Status:
% 16.36/16.78 Generated: 36528
% 16.36/16.78 Kept: 13145
% 16.36/16.78 Inuse: 489
% 16.36/16.78 Deleted: 27
% 16.36/16.78 Deletedinuse: 0
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78
% 16.36/16.78 Intermediate Status:
% 16.36/16.78 Generated: 42399
% 16.36/16.78 Kept: 15158
% 16.36/16.78 Inuse: 556
% 16.36/16.78 Deleted: 31
% 16.36/16.78 Deletedinuse: 0
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78
% 16.36/16.78 Intermediate Status:
% 16.36/16.78 Generated: 50335
% 16.36/16.78 Kept: 17168
% 16.36/16.78 Inuse: 592
% 16.36/16.78 Deleted: 33
% 16.36/16.78 Deletedinuse: 0
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78
% 16.36/16.78 Intermediate Status:
% 16.36/16.78 Generated: 59148
% 16.36/16.78 Kept: 19210
% 16.36/16.78 Inuse: 642
% 16.36/16.78 Deleted: 34
% 16.36/16.78 Deletedinuse: 0
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78 Resimplifying clauses:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78
% 16.36/16.78 Intermediate Status:
% 16.36/16.78 Generated: 68349
% 16.36/16.78 Kept: 21357
% 16.36/16.78 Inuse: 675
% 16.36/16.78 Deleted: 163
% 16.36/16.78 Deletedinuse: 0
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78
% 16.36/16.78 Intermediate Status:
% 16.36/16.78 Generated: 76461
% 16.36/16.78 Kept: 23359
% 16.36/16.78 Inuse: 734
% 16.36/16.78 Deleted: 163
% 16.36/16.78 Deletedinuse: 0
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78
% 16.36/16.78 Intermediate Status:
% 16.36/16.78 Generated: 82759
% 16.36/16.78 Kept: 25365
% 16.36/16.78 Inuse: 766
% 16.36/16.78 Deleted: 163
% 16.36/16.78 Deletedinuse: 0
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78
% 16.36/16.78 Intermediate Status:
% 16.36/16.78 Generated: 89210
% 16.36/16.78 Kept: 27384
% 16.36/16.78 Inuse: 827
% 16.36/16.78 Deleted: 163
% 16.36/16.78 Deletedinuse: 0
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78
% 16.36/16.78 Intermediate Status:
% 16.36/16.78 Generated: 97611
% 16.36/16.78 Kept: 29390
% 16.36/16.78 Inuse: 895
% 16.36/16.78 Deleted: 163
% 16.36/16.78 Deletedinuse: 0
% 16.36/16.78
% 16.36/16.78 Resimplifying inuse:
% 16.36/16.78 Done
% 16.36/16.78
% 16.36/16.78
% 16.36/16.78 Intermediate Status:
% 16.36/16.78 Generated: 107869
% 16.36/16.78 Kept: 32208
% 16.36/16.78 Inuse: 927
% 16.36/16.78 Deleted: 163
% 16.36/16.78 Deletedinuse: 0
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 115927
% 49.75/50.18 Kept: 34460
% 49.75/50.18 Inuse: 952
% 49.75/50.18 Deleted: 163
% 49.75/50.18 Deletedinuse: 0
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 125362
% 49.75/50.18 Kept: 36469
% 49.75/50.18 Inuse: 1008
% 49.75/50.18 Deleted: 163
% 49.75/50.18 Deletedinuse: 0
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 131483
% 49.75/50.18 Kept: 40435
% 49.75/50.18 Inuse: 1012
% 49.75/50.18 Deleted: 163
% 49.75/50.18 Deletedinuse: 0
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18 Resimplifying clauses:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 137600
% 49.75/50.18 Kept: 44402
% 49.75/50.18 Inuse: 1017
% 49.75/50.18 Deleted: 231
% 49.75/50.18 Deletedinuse: 0
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 150516
% 49.75/50.18 Kept: 46443
% 49.75/50.18 Inuse: 1042
% 49.75/50.18 Deleted: 231
% 49.75/50.18 Deletedinuse: 0
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 158454
% 49.75/50.18 Kept: 48506
% 49.75/50.18 Inuse: 1077
% 49.75/50.18 Deleted: 231
% 49.75/50.18 Deletedinuse: 0
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 169446
% 49.75/50.18 Kept: 50513
% 49.75/50.18 Inuse: 1106
% 49.75/50.18 Deleted: 231
% 49.75/50.18 Deletedinuse: 0
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 176451
% 49.75/50.18 Kept: 52528
% 49.75/50.18 Inuse: 1142
% 49.75/50.18 Deleted: 231
% 49.75/50.18 Deletedinuse: 0
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 184356
% 49.75/50.18 Kept: 54562
% 49.75/50.18 Inuse: 1187
% 49.75/50.18 Deleted: 231
% 49.75/50.18 Deletedinuse: 0
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 192665
% 49.75/50.18 Kept: 56568
% 49.75/50.18 Inuse: 1229
% 49.75/50.18 Deleted: 231
% 49.75/50.18 Deletedinuse: 0
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 200017
% 49.75/50.18 Kept: 58679
% 49.75/50.18 Inuse: 1257
% 49.75/50.18 Deleted: 231
% 49.75/50.18 Deletedinuse: 0
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 210542
% 49.75/50.18 Kept: 62875
% 49.75/50.18 Inuse: 1282
% 49.75/50.18 Deleted: 232
% 49.75/50.18 Deletedinuse: 1
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18 Resimplifying clauses:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 217220
% 49.75/50.18 Kept: 64915
% 49.75/50.18 Inuse: 1294
% 49.75/50.18 Deleted: 511
% 49.75/50.18 Deletedinuse: 1
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 221988
% 49.75/50.18 Kept: 67900
% 49.75/50.18 Inuse: 1297
% 49.75/50.18 Deleted: 511
% 49.75/50.18 Deletedinuse: 1
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 227233
% 49.75/50.18 Kept: 70645
% 49.75/50.18 Inuse: 1302
% 49.75/50.18 Deleted: 511
% 49.75/50.18 Deletedinuse: 1
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 260785
% 49.75/50.18 Kept: 72645
% 49.75/50.18 Inuse: 1312
% 49.75/50.18 Deleted: 511
% 49.75/50.18 Deletedinuse: 1
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 266524
% 49.75/50.18 Kept: 75860
% 49.75/50.18 Inuse: 1317
% 49.75/50.18 Deleted: 511
% 49.75/50.18 Deletedinuse: 1
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 284623
% 49.75/50.18 Kept: 79078
% 49.75/50.18 Inuse: 1342
% 49.75/50.18 Deleted: 511
% 49.75/50.18 Deletedinuse: 1
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18 Resimplifying inuse:
% 49.75/50.18 Done
% 49.75/50.18
% 49.75/50.18
% 49.75/50.18 Intermediate Status:
% 49.75/50.18 Generated: 293243
% 49.75/50.18 Kept: 81109
% 49.75/50.18 Inuse: 1357
% 49.75/50.18 Deleted: 511
% 49.75/50.19 Deletedinuse: 1
% 49.75/50.19
% 49.75/50.19 Resimplifying inuse:
% 49.75/50.19 Done
% 49.75/50.19
% 49.75/50.19 Resimplifying inuse:
% 49.75/50.19 Done
% 49.75/50.19
% 49.75/50.19 Resimplifying clauses:
% 49.75/50.19 Done
% 49.75/50.19
% 49.75/50.19
% 49.75/50.19 Intermediate Status:
% 49.75/50.19 Generated: 308955
% 49.75/50.19 Kept: 88105
% 49.75/50.19 Inuse: 1374
% 49.75/50.19 Deleted: 547
% 49.75/50.19 Deletedinuse: 1
% 49.75/50.19
% 49.75/50.19 Resimplifying inuse:
% 49.75/50.19 Done
% 49.75/50.19
% 49.75/50.19 Resimplifying inuse:
% 49.75/50.19 Done
% 49.75/50.19
% 49.75/50.19
% 49.75/50.19 Intermediate Status:
% 49.75/50.19 Generated: 316671
% 49.75/50.19 Kept: 90422
% 49.75/50.19 Inuse: 1397
% 49.75/50.19 Deleted: 547
% 49.75/50.19 Deletedinuse: 1
% 49.75/50.19
% 49.75/50.19 Resimplifying inuse:
% 49.75/50.19 Done
% 49.75/50.19
% 49.75/50.19 Resimplifying inuse:
% 49.75/50.19 Done
% 49.75/50.19
% 49.75/50.19
% 49.75/50.19 Intermediate Status:
% 49.75/50.19 Generated: 323276
% 49.75/50.19 Kept: 92442
% 49.75/50.19 Inuse: 1424
% 49.75/50.19 Deleted: 547
% 49.75/50.19 Deletedinuse: 1
% 49.75/50.19
% 49.75/50.19 Resimplifying inuse:
% 49.75/50.19 Done
% 49.75/50.19
% 49.75/50.19 Resimplifying inuse:
% 49.75/50.19 Done
% 49.75/50.19
% 49.75/50.19
% 49.75/50.19 Intermediate Status:
% 49.75/50.19 Generated: 330332
% 49.75/50.19 Kept: 94623
% 49.75/50.19 Inuse: 1457
% 49.75/50.19 Deleted: 547
% 49.75/50.19 Deletedinuse: 1
% 49.75/50.19
% 49.75/50.19 Resimplifying inuse:
% 49.75/50.19 Done
% 49.75/50.19
% 49.75/50.19
% 49.75/50.19 Intermediate Status:
% 49.75/50.19 Generated: 344447
% 49.75/50.19 Kept: 97100
% 49.75/50.19 Inuse: 1482
% 49.75/50.19 Deleted: 547
% 49.75/50.19 Deletedinuse: 1
% 49.75/50.19
% 49.75/50.19 Resimplifying inuse:
% 49.75/50.19 Done
% 49.75/50.19
% 49.75/50.19 Resimplifying inuse:
% 49.75/50.19 Done
% 49.75/50.19
% 49.75/50.19
% 49.75/50.19 Intermediate Status:
% 49.75/50.19 Generated: 352661
% 49.75/50.19 Kept: 99224
% 49.75/50.19 Inuse: 1522
% 128.83/129.21 Deleted: 547
% 128.83/129.21 Deletedinuse: 1
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 363593
% 128.83/129.21 Kept: 101887
% 128.83/129.21 Inuse: 1547
% 128.83/129.21 Deleted: 548
% 128.83/129.21 Deletedinuse: 2
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying clauses:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 371139
% 128.83/129.21 Kept: 103916
% 128.83/129.21 Inuse: 1558
% 128.83/129.21 Deleted: 1004
% 128.83/129.21 Deletedinuse: 3
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 377395
% 128.83/129.21 Kept: 105920
% 128.83/129.21 Inuse: 1577
% 128.83/129.21 Deleted: 1004
% 128.83/129.21 Deletedinuse: 3
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 385557
% 128.83/129.21 Kept: 108056
% 128.83/129.21 Inuse: 1602
% 128.83/129.21 Deleted: 1004
% 128.83/129.21 Deletedinuse: 3
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 396447
% 128.83/129.21 Kept: 110585
% 128.83/129.21 Inuse: 1622
% 128.83/129.21 Deleted: 1004
% 128.83/129.21 Deletedinuse: 3
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 408898
% 128.83/129.21 Kept: 113288
% 128.83/129.21 Inuse: 1632
% 128.83/129.21 Deleted: 1004
% 128.83/129.21 Deletedinuse: 3
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 416867
% 128.83/129.21 Kept: 115498
% 128.83/129.21 Inuse: 1662
% 128.83/129.21 Deleted: 1004
% 128.83/129.21 Deletedinuse: 3
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 425117
% 128.83/129.21 Kept: 117842
% 128.83/129.21 Inuse: 1687
% 128.83/129.21 Deleted: 1004
% 128.83/129.21 Deletedinuse: 3
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 433382
% 128.83/129.21 Kept: 119904
% 128.83/129.21 Inuse: 1709
% 128.83/129.21 Deleted: 1004
% 128.83/129.21 Deletedinuse: 3
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 443634
% 128.83/129.21 Kept: 121911
% 128.83/129.21 Inuse: 1735
% 128.83/129.21 Deleted: 1004
% 128.83/129.21 Deletedinuse: 3
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 459330
% 128.83/129.21 Kept: 129201
% 128.83/129.21 Inuse: 1748
% 128.83/129.21 Deleted: 1007
% 128.83/129.21 Deletedinuse: 6
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying clauses:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 475607
% 128.83/129.21 Kept: 132026
% 128.83/129.21 Inuse: 1762
% 128.83/129.21 Deleted: 2268
% 128.83/129.21 Deletedinuse: 42
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 484997
% 128.83/129.21 Kept: 134080
% 128.83/129.21 Inuse: 1787
% 128.83/129.21 Deleted: 2268
% 128.83/129.21 Deletedinuse: 42
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 493367
% 128.83/129.21 Kept: 136183
% 128.83/129.21 Inuse: 1807
% 128.83/129.21 Deleted: 2268
% 128.83/129.21 Deletedinuse: 42
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 499472
% 128.83/129.21 Kept: 138295
% 128.83/129.21 Inuse: 1827
% 128.83/129.21 Deleted: 2268
% 128.83/129.21 Deletedinuse: 42
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 506657
% 128.83/129.21 Kept: 140301
% 128.83/129.21 Inuse: 1844
% 128.83/129.21 Deleted: 2268
% 128.83/129.21 Deletedinuse: 42
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 512284
% 128.83/129.21 Kept: 142492
% 128.83/129.21 Inuse: 1862
% 128.83/129.21 Deleted: 2268
% 128.83/129.21 Deletedinuse: 42
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 519654
% 128.83/129.21 Kept: 144726
% 128.83/129.21 Inuse: 1882
% 128.83/129.21 Deleted: 2268
% 128.83/129.21 Deletedinuse: 42
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 525459
% 128.83/129.21 Kept: 146836
% 128.83/129.21 Inuse: 1902
% 128.83/129.21 Deleted: 2268
% 128.83/129.21 Deletedinuse: 42
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 531221
% 128.83/129.21 Kept: 148867
% 128.83/129.21 Inuse: 1922
% 128.83/129.21 Deleted: 2268
% 128.83/129.21 Deletedinuse: 42
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying clauses:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 537330
% 128.83/129.21 Kept: 150911
% 128.83/129.21 Inuse: 1947
% 128.83/129.21 Deleted: 3155
% 128.83/129.21 Deletedinuse: 42
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 544041
% 128.83/129.21 Kept: 152941
% 128.83/129.21 Inuse: 1976
% 128.83/129.21 Deleted: 3155
% 128.83/129.21 Deletedinuse: 42
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 571065
% 128.83/129.21 Kept: 157028
% 128.83/129.21 Inuse: 1997
% 128.83/129.21 Deleted: 3155
% 128.83/129.21 Deletedinuse: 42
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21 Resimplifying inuse:
% 128.83/129.21 Done
% 128.83/129.21
% 128.83/129.21
% 128.83/129.21 Intermediate Status:
% 128.83/129.21 Generated: 58Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------