TSTP Solution File: SCT093-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT093-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 21:01:10 EDT 2022
% Result : Timeout 300.06s 300.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT093-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jul 2 05:53:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.28/1.63 *** allocated 10000 integers for termspace/termends
% 1.28/1.63 *** allocated 10000 integers for clauses
% 1.28/1.63 *** allocated 10000 integers for justifications
% 1.28/1.63 *** allocated 15000 integers for termspace/termends
% 1.28/1.63 *** allocated 22500 integers for termspace/termends
% 1.28/1.63 *** allocated 33750 integers for termspace/termends
% 1.28/1.63 *** allocated 50625 integers for termspace/termends
% 1.28/1.63 Bliksem 1.12
% 1.28/1.63
% 1.28/1.63
% 1.28/1.63 Automatic Strategy Selection
% 1.28/1.63
% 1.28/1.63 Clauses:
% 1.28/1.63 [
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.63 X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.28/1.63 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z )
% 1.28/1.63 ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.28/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), T ) ) ) ],
% 1.28/1.63 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, 'c_Set_Oimage'(
% 1.28/1.63 Z, T, U, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T
% 1.28/1.63 , U ) ) ],
% 1.28/1.63 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.28/1.63 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( Y, W
% 1.28/1.63 , U, X ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.28/1.63 , X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.28/1.63 , X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.28/1.63 ,
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.28/1.63 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.28/1.63 ), X ), Y ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ) ) ],
% 1.28/1.63 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.28/1.63 ), Z ) ), Y ) ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.28/1.63 ), Z ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ],
% 1.28/1.63 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), 'c_Suc'( X ) ) ) ]
% 1.28/1.63 ,
% 1.28/1.63 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.28/1.63 ), T ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Z
% 1.28/1.63 ), T ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.63 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.63 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ),
% 1.28/1.63 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.28/1.63 ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.63 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ]
% 1.28/1.63 ,
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.63 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.63 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ),
% 1.28/1.63 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.28/1.63 ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.63 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ]
% 1.28/1.63 ,
% 1.28/1.63 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.28/1.63 ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'(
% 1.28/1.63 X, 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 1.28/1.63 ,
% 1.28/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.28/1.63 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.28/1.63 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_Int_Oring__1__class_OInts'( X
% 1.28/1.63 ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.28/1.63 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.63 ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.63 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.63 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ) ) ],
% 1.28/1.63 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 1.28/1.63 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( hAPP(
% 1.28/1.63 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.28/1.63 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), =( Z,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), =( hAPP(
% 1.28/1.63 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ) )
% 1.28/1.63 , 'c_HOL_Oinverse__class_Oinverse'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.28/1.63 Y ), X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ), 'c_Suc'(
% 1.28/1.63 'c_Finite__Set_Ocard'( Y, Z ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), Y
% 1.28/1.63 ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.28/1.63 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 1.28/1.63 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 1.28/1.63 ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( T, X ) )
% 1.28/1.63 , Z ), Y ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.28/1.63 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.28/1.63 X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.28/1.63 X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ) ) ],
% 1.28/1.63 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.63 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ]
% 1.28/1.63 ,
% 1.28/1.63 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.28/1.63 X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z )
% 1.28/1.63 , 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.28/1.63 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.28/1.63 X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y )
% 1.28/1.63 , 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.28/1.63 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.28/1.63 X ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y )
% 1.28/1.63 , 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y
% 1.28/1.63 , Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.28/1.63 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ), 'tc_nat' ) ), ~(
% 1.28/1.63 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 1.28/1.63 ],
% 1.28/1.63 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 1.28/1.63 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~(
% 1.28/1.63 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) )
% 1.28/1.63 , =( X, Z ) ],
% 1.28/1.63 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.28/1.63 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.28/1.63 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), hBOOL( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.63 ) ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X )
% 1.28/1.63 , Y ), T ), Z, X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.28/1.63 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.28/1.63 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.28/1.63 ), X ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.28/1.63 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), hBOOL( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.63 ) ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.28/1.63 ), T ), Z ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.28/1.63 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.28/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.28/1.63 Y, X ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ],
% 1.28/1.63 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.63 'tc_nat' ) ) ],
% 1.28/1.63 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.28/1.63 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.28/1.63 ],
% 1.28/1.63 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.28/1.63 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 1.28/1.63 ],
% 1.28/1.63 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 1.28/1.63 'c_lessequals'( Y, Z, X ) ) ],
% 1.28/1.63 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 1.28/1.63 'c_lessequals'( Y, Z, X ) ],
% 1.28/1.63 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 1.28/1.63 'c_lessequals'( Z, Y, X ) ) ],
% 1.28/1.63 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'( X ) ) ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.28/1.63 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.28/1.63 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP(
% 1.28/1.63 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.28/1.63 X ), Y ), Z ) ), X ) ],
% 1.28/1.63 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ) ],
% 1.28/1.63 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.28/1.63 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.28/1.63 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.28/1.63 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.28/1.63 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.63 'tc_nat' ) ), 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.28/1.63 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.63 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.28/1.63 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.28/1.63 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.28/1.63 X ), Y ), T ) ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), Z ), U ) ) ), X ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.63 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), X ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.63 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Odvd'( X ) ),
% 1.28/1.63 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ) ],
% 1.28/1.63 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ) ), Z ), hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X ) ), hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~(
% 1.28/1.63 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.28/1.63 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_lessequals'( X, Y,
% 1.28/1.63 'tc_nat' ) ],
% 1.28/1.63 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 1.28/1.63 'tc_nat' ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.63 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.63 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.28/1.63 ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ), ~(
% 1.28/1.63 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.28/1.63 'c_lessequals'( T, Z, X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), X ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ), ~(
% 1.28/1.63 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.28/1.63 'c_lessequals'( Z, T, X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.28/1.63 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~(
% 1.28/1.63 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.28/1.63 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.28/1.63 'c_Ring__and__Field_Odvd__class_Odvd'( Z, T, X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.28/1.63 'c_HOL_Oinverse__class_Oinverse'( Y, X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.28/1.63 ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.63 'class_Int_Onumber__ring'( X ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.28/1.63 , X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.28/1.63 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.28/1.63 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP(
% 1.28/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ), Z, X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.28/1.63 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.63 'c_Suc'( Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.28/1.63 'c_HOL_Oabs__class_Oabs'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) )
% 1.28/1.63 , hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Olordered__ring'( X ) ), 'c_lessequals'(
% 1.28/1.63 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.28/1.63 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.28/1.63 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.28/1.63 [ ~( =( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'c_Suc'( X ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.63 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), T ), Y ) ), Z ) ), U ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.63 X ), T ), Z ) ), U ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.63 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( T, hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oring'( X ) ), ~( =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.63 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), =( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T ), W ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), hBOOL(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.63 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ) ), =( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBK'( 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.63 ), X, Y ) ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.28/1.63 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.28/1.63 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 1.28/1.63 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 1.28/1.63 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.28/1.63 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 1.28/1.63 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X )
% 1.28/1.63 ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.63 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( T, hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.63 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.28/1.63 ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'( Y
% 1.28/1.63 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W ), X ), ~(
% 1.28/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), Y ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.63 X ), Z ), U ) ), W ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.63 X ), U ), Z ) ), W ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.63 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.28/1.63 ), W, X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ), W, X ), ~(
% 1.28/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), U ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.63 X ), Z ), T ) ), W ), X ) ) ],
% 1.28/1.63 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 1.28/1.63 X, T ), Y ) ) ) ],
% 1.28/1.63 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X )
% 1.28/1.63 ), Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X
% 1.28/1.63 ), Y ) ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'( Z,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.63 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 1.28/1.63 ) ) ],
% 1.28/1.63 [ ~( 'class_Power_Opower'( X ) ), =( 'c_Power_Opower__class_Opower'( X )
% 1.28/1.63 , 'c_Power_Opower_Opower'( 'c_HOL_Oone__class_Oone'( X ),
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), X ) ) ],
% 1.28/1.63 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ), 'c_Suc'( U ) )
% 1.28/1.63 , hAPP( hAPP( Y, T ), hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T )
% 1.28/1.63 , U ) ) ) ],
% 1.28/1.63 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 1.28/1.63 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 1.28/1.63 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 1.28/1.63 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~( hBOOL(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.63 ) ), T ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ), Z, X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( hBOOL(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.63 ) ), Z ) ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~( hBOOL( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.63 Z ) ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( hBOOL(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.63 ) ), T ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.28/1.63 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z
% 1.28/1.63 ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.28/1.63 , hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.28/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ),
% 1.28/1.63 Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.63 X ) ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.63 X ) ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.28/1.63 , Y ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.63 X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.28/1.63 X ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), X ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.28/1.63 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.28/1.63 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.28/1.63 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.28/1.63 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 1.28/1.63 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ocomm__ring__1'( X ) ),
% 1.28/1.63 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ), X ), ~(
% 1.28/1.63 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.28/1.63 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.28/1.63 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ),
% 1.28/1.63 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_Finite__Set_Osetprod'( Y, Z, T
% 1.28/1.63 , X ), 'c_Finite__Set_Osetprod'( Y, U, T, X ), X ), ~( 'c_lessequals'( Z
% 1.28/1.63 , U, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ) ]
% 1.28/1.63 ,
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.63 X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.28/1.63 X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.63 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ), Y ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.63 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), Y ) ) ), hBOOL( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.63 Z ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.63 T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), Y ) ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.63 ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.63 T ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), T ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.63 ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), T ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.63 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.28/1.63 ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.63 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.28/1.63 ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.63 ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.63 X ), Y ), T ) ), Z ) ) ) ],
% 1.28/1.63 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.28/1.63 [ ~( =( 'c_Suc'( X ), 'c_Suc'( Y ) ) ), =( X, Y ) ],
% 1.28/1.63 [ =( 'c_HOL_Oone__class_Oone'( 'tc_nat' ), 'c_Suc'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.28/1.63 'c_lessequals'( Y, hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), ~( =(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.63 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.63 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~( =( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.63 ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.28/1.63 ), Y ) ) ],
% 1.28/1.63 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.28/1.63 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( Y, 'c_Suc'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.28/1.63 [ ~( =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), =( X,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.63 ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.63 ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.63 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~(
% 1.28/1.63 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.63 ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.63 ) ],
% 1.28/1.63 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.28/1.63 ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat'
% 1.28/1.63 ), 'c_Finite__Set_Ocard'( Y, X ) ), 'c_Finite__Set_Ocard'( Z, X ) ) ) )
% 1.28/1.63 , ~( 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 1.28/1.63 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 1.28/1.63 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 1.28/1.63 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.28/1.63 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.28/1.63 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.28/1.63 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 1.28/1.63 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.28/1.63 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.63 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( hBOOL(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), ~( 'c_lessequals'(
% 1.28/1.63 Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( hBOOL(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), ~( 'c_lessequals'(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.28/1.63 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'( X ) ) ) ],
% 1.28/1.63 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.28/1.63 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 1.28/1.63 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.28/1.63 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.28/1.63 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 1.28/1.63 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.28/1.63 X ), Y ), X, 'tc_nat' ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.28/1.63 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.28/1.63 ), X ), Y ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.28/1.63 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Ozero__class_Ozero'( X ), Y
% 1.28/1.63 , X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.28/1.63 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.63 X ) ) ), =( Y, Z ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.63 X ) ) ), =( Y, Z ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T,
% 1.28/1.63 Z, 'tc_nat' ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.63 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.63 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.63 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), ~( 'c_lessequals'(
% 1.28/1.63 Y, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.28/1.63 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ) ],
% 1.28/1.63 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), X, 'tc_nat' )
% 1.28/1.63 ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.28/1.63 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.63 , X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.28/1.63 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.63 , X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.28/1.63 ,
% 1.28/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.28/1.63 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ]
% 1.28/1.63 ,
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.28/1.63 'c_HOL_Oinverse__class_Oinverse'( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.28/1.63 ) ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.28/1.63 'c_HOL_Oinverse__class_Oinverse'( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Oinverse'( Z, X
% 1.28/1.63 ) ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ), =( Z,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.63 ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.28/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.28/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.28/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.28/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.28/1.63 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.28/1.63 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.63 X ) ) ) ) ],
% 1.28/1.63 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'(
% 1.28/1.63 'c_Set_Oinsert'( Y, T, X ), Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.28/1.63 X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ),
% 1.28/1.63 'c_Int_Oring__1__class_OInts'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.28/1.63 , Z ), 'c_Int_Oring__1__class_OInts'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_in'( X ), Y ), 'c_Int_Oring__1__class_OInts'( X ) ) ) ) ],
% 1.28/1.63 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), ~( 'c_lessequals'( 'c_Suc'( Y )
% 1.28/1.63 , X, 'tc_nat' ) ) ],
% 1.28/1.63 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), 'c_lessequals'( Y, X,
% 1.28/1.63 'tc_nat' ) ],
% 1.28/1.63 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 1.28/1.63 ) ) ],
% 1.28/1.63 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 1.28/1.63 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z
% 1.28/1.63 ) ) ) ],
% 1.28/1.63 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.28/1.63 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.28/1.63 hAPP( 'c_in'( T ), Y ), X ) ) ],
% 1.28/1.63 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z )
% 1.28/1.63 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.28/1.63 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 1.28/1.63 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.28/1.63 hAPP( 'c_in'( T ), Y ), X ) ) ],
% 1.28/1.63 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.28/1.63 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 1.28/1.63 hAPP( 'c_in'( Z ), T ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.28/1.63 ,
% 1.28/1.63 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 1.28/1.63 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.28/1.63 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ],
% 1.28/1.63 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.28/1.63 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.28/1.63 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.28/1.63 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.28/1.63 X ), Y ), Z ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), hAPP(
% 1.28/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), Z ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.63 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.63 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~(
% 1.28/1.63 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.28/1.63 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ) )
% 1.28/1.63 , 'c_HOL_Oinverse__class_Oinverse'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.28/1.63 Y ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.63 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ]
% 1.28/1.63 ,
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.63 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), Y ) ) ) ]
% 1.28/1.63 ,
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP(
% 1.28/1.63 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.28/1.63 , Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.28/1.63 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.63 ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.63 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.28/1.63 ) ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.63 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.63 ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.63 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.63 ) ],
% 1.28/1.63 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.28/1.63 'c_Finite__Set_Ofold__image'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z,
% 1.28/1.63 'c_Set_Oinsert'( T, U, W ), X, W ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, T ) ),
% 1.28/1.63 'c_Finite__Set_Ofold__image'( 'c_HOL_Oplus__class_Oplus'( X ), Y, Z, U, X
% 1.28/1.63 , W ) ) ), hBOOL( hAPP( hAPP( 'c_in'( W ), T ), U ) ), ~(
% 1.28/1.63 'c_Finite__Set_Ofinite'( U, W ) ) ],
% 1.28/1.63 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.28/1.63 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 1.28/1.63 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.28/1.63 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 1.28/1.63 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.28/1.63 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.28/1.63 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.28/1.63 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.28/1.63 Z, T, X ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.28/1.63 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.28/1.63 T, Z, X ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.28/1.63 'c_lessequals'( Y, T, X ) ) ],
% 1.28/1.63 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.28/1.63 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 1.28/1.63 'c_lessequals'( Z, T, X ) ) ],
% 1.28/1.63 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.28/1.63 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.28/1.63 Z, T, X ), X ) ) ],
% 1.28/1.63 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 1.28/1.63 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.28/1.63 T, Z, X ), X ) ) ],
% 1.28/1.63 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.28/1.63 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.28/1.63 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.28/1.63 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( X, 'c_Suc'(
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.28/1.63 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X ) ), Y ) ), 'c_Suc'(
% 1.28/1.63 Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ) ],
% 1.28/1.63 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_Suc'(
% 1.28/1.63 Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.28/1.63 'tc_nat' ) ) ), Y ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), T ) ), =( T,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), Z ) ), =( Z,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.63 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.63 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.63 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.63 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ), =( Y,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), =( Z,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.28/1.63 ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.28/1.63 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ),
% 1.28/1.63 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Z,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.63 ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.28/1.63 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.28/1.63 ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.63 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.63 X ), Y ), Z ) ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ),
% 1.28/1.63 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Z,
% 1.28/1.63 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.63 ) ],
% 1.28/1.63 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( X ), 'tc_nat' ) ],
% 1.28/1.63 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.63 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.28/1.64 ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Z ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.28/1.64 ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), ~(
% 1.28/1.64 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.28/1.64 [ =( X, 'c_Suc'( Y ) ), 'c_lessequals'( X, Y, 'tc_nat' ), ~(
% 1.28/1.64 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), T ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.28/1.64 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), T ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.28/1.64 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.64 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), Y ) ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.64 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__comm__semiring__strict'( X ) ),
% 1.28/1.64 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.64 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), T ) ), Z ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.28/1.64 , Y ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.28/1.64 ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.28/1.64 , X ) ), Z ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Suc'( X )
% 1.28/1.64 ), 'c_Suc'( Y ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' )
% 1.28/1.64 , X ), Y ) ) ],
% 1.28/1.64 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_in'( Z ), T ), X ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), Y ) ), ~(
% 1.28/1.64 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( Z, 'tc_bool' ) )
% 1.28/1.64 , X ), 'c_Set_Oinsert'( T, Y, Z ) ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.28/1.64 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( 'c_lessequals'( Y, T,
% 1.28/1.64 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) )
% 1.28/1.64 , hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), T ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.64 , X ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.28/1.64 ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), U ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.28/1.64 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.28/1.64 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oring__no__zero__divisors'( X ) ), =( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.64 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.28/1.64 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Omult__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.28/1.64 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.28/1.64 , 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.28/1.64 ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Z ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 1.28/1.64 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.28/1.64 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X
% 1.28/1.64 ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.28/1.64 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.28/1.64 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_HOL_Oone__class_Oone'(
% 1.28/1.64 'tc_nat' ) ) ), Y ) ) ), =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.28/1.64 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ),
% 1.28/1.64 'c_Int_Oring__1__class_OInts'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.28/1.64 , Z ), 'c_Int_Oring__1__class_OInts'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_in'( X ), Y ), 'c_Int_Oring__1__class_OInts'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y
% 1.28/1.64 ) ), Z ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( 'c_HOL_Oabs__class_Oabs'(
% 1.28/1.64 X ), Z ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( 'c_HOL_Oabs__class_Oabs'(
% 1.28/1.64 X ), Z ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.28/1.64 ), Y ), Z, X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( 'c_HOL_Oabs__class_Oabs'( X
% 1.28/1.64 ), Y ), Z, X ) ) ],
% 1.28/1.64 [ =( 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ) ) ],
% 1.28/1.64 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X,
% 1.28/1.64 'tc_bool' ) ), Y ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), Z ), T ) ), 'c_lessequals'(
% 1.28/1.64 T, Z, 'tc_fun'( Y, X ) ), ~( 'c_lessequals'( Z, T, 'tc_fun'( Y, X ) ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), Y ), Z ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ), Y ), =( Z,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( Y, hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), Z ) ), =( Z,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ =( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ) ],
% 1.28/1.64 [ =( 'c_Finite__Set_Ocard'( X, Y ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat'
% 1.28/1.64 ) ), 'c_Finite__Set_Ofinite'( X, Y ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.28/1.64 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.28/1.64 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ) ) ],
% 1.28/1.64 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 1.28/1.64 hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ), X
% 1.28/1.64 ), hAPP( 'c_COMBC'( 'c_in'( Z ), Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool'
% 1.28/1.64 ), Y ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.28/1.64 [ 'c_lessequals'( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X,
% 1.28/1.64 'tc_bool' ), 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'(
% 1.28/1.64 X, 'tc_bool' ), 'tc_bool' ), Z ), 'tc_fun'( X, 'tc_bool' ) ), ~(
% 1.28/1.64 'c_lessequals'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 1.28/1.64 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.28/1.64 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.28/1.64 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 1.28/1.64 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.28/1.64 [ ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y, X ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.28/1.64 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.28/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ =( 'c_Suc'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X )
% 1.28/1.64 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), X ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ), X ) ) ) ],
% 1.28/1.64 [ =( X, 'c_Suc'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X
% 1.28/1.64 ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ), X ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.64 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 1.28/1.64 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( T, X ) ), Y )
% 1.28/1.64 , Z ) ) ) ],
% 1.28/1.64 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 1.28/1.64 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( T, Z, X ) ), ~(
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Y, X ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z
% 1.28/1.64 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.64 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.28/1.64 [ ~( =( 'c_Suc'( X ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.28/1.64 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( 'c_lessequals'( Y, T,
% 1.28/1.64 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), Y ) )
% 1.28/1.64 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool'
% 1.28/1.64 ) ), Y ), T ) ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_Suc'(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), 'c_Suc'( Y ) ) ), ~(
% 1.28/1.64 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.28/1.64 X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.28/1.64 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.28/1.64 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), X ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.28/1.64 , hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Z ), X ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.28/1.64 , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.28/1.64 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.28/1.64 , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.28/1.64 ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.28/1.64 , Z ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.28/1.64 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring__abs'( X ) ), =( hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.28/1.64 , Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.28/1.64 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.28/1.64 , Z ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T )
% 1.28/1.64 ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), Z ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.64 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.64 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 1.28/1.64 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 1.28/1.64 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 1.28/1.64 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.28/1.64 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 1.28/1.64 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.28/1.64 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y
% 1.28/1.64 ), 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.28/1.64 ), =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.28/1.64 , =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.28/1.64 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.28/1.64 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.28/1.64 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.28/1.64 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.28/1.64 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.28/1.64 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.28/1.64 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 1.28/1.64 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.28/1.64 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 1.28/1.64 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 1.28/1.64 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.28/1.64 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.28/1.64 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.28/1.64 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 1.28/1.64 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 1.28/1.64 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.28/1.64 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.28/1.64 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.28/1.64 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 1.28/1.64 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 1.28/1.64 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.28/1.64 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), T ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), T ) ), Z ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.64 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), Y ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), Y ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 T ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.64 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.64 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.28/1.64 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Opordered__semiring'( X ) ), 'c_lessequals'(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, U, X ) )
% 1.28/1.64 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.28/1.64 ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.28/1.64 ) ), Y ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.28/1.64 Y, X ) ), 'c_HOL_Oone__class_Oone'( X ) ), =( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 1.28/1.64 'tc_bool' ) ), Y ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 1.28/1.64 'tc_bool' ) ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ), =( U,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), =( T,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), ~(
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.28/1.64 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.28/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 1.28/1.64 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T
% 1.28/1.64 ), X ) ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X
% 1.28/1.64 ), Y ), T ), Z, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.28/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ),
% 1.28/1.64 Y, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), T ), Z ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Z ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Z ), Y ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Z ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Z ), Y ), X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.28/1.64 X ), Y ), Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ) ],
% 1.28/1.64 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.28/1.64 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 1.28/1.64 ) ],
% 1.28/1.64 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.28/1.64 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 1.28/1.64 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 1.28/1.64 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.28/1.64 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 1.28/1.64 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 1.28/1.64 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 1.28/1.64 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 1.28/1.64 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 1.28/1.64 'tc_bool' ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z,
% 1.28/1.64 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T )
% 1.28/1.64 ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 1.28/1.64 'tc_bool' ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 1.28/1.64 'tc_bool' ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_in'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z,
% 1.28/1.64 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T,
% 1.28/1.64 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 1.28/1.64 [ ~( =( hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool' ),
% 1.28/1.64 'tc_bool' ), Y ), hAPP( 'c_COMBC'( 'c_in'( X ), X, 'tc_fun'( X, 'tc_bool'
% 1.28/1.64 ), 'tc_bool' ), Z ) ) ), =( Y, Z ) ],
% 1.28/1.64 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 1.28/1.64 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z
% 1.28/1.64 ), X ), Y ) ), =( Y, T ) ],
% 1.28/1.64 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 1.28/1.64 , X ), Y ) ) ) ],
% 1.28/1.64 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 1.28/1.64 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 1.28/1.64 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 1.28/1.64 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), T ), U ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.28/1.64 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ) ), ~(
% 1.28/1.64 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ) ), ~(
% 1.28/1.64 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.28/1.64 ), Z ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), T ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Y )
% 1.28/1.64 ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Z ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.28/1.64 ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.28/1.64 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), T ) ), U ) ), W ) ), ~(
% 1.28/1.64 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), T ) ), U ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), W ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.28/1.64 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ),
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), U ) ), Z ) ), T
% 1.28/1.64 ) ), W ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ), U ) ), W
% 1.28/1.64 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), T ), U ) ), Y ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ), W ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.28/1.64 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ),
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), U ), Z ) ), W ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), U ), Y ) ), Z ) ), W
% 1.28/1.64 ) ) ) ) ],
% 1.28/1.64 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 1.28/1.64 'c_Set_Oimage'( 'c_COMBB'( X, Y, U, W, T ), Z, T, W ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T )
% 1.28/1.64 ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.64 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.64 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.28/1.64 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.28/1.64 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.28/1.64 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.28/1.64 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.28/1.64 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), U ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.28/1.64 ) ) ), =( Z, U ), =( Y, T ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.28/1.64 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.28/1.64 ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.28/1.64 X ) ), =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z )
% 1.28/1.64 ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.28/1.64 X ), Y ), Z ) ), Z ), Y ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__meet'( X ) ), =(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ) ),
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ), T ),
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Osemiring'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), U ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ), U )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ), ~(
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.28/1.64 ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.64 X ), Y ), Z ) ), Z ), Y ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.28/1.64 X ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Oone__class_Oone'( X ), X ),
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.28/1.64 Y ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.28/1.64 Y ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.28/1.64 Y ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.28/1.64 Y ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.28/1.64 Y ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ),
% 1.28/1.64 Y ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.28/1.64 ), =( Y, 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.28/1.64 ), Y ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), =( hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.28/1.64 Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X )
% 1.28/1.64 , Y ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.28/1.64 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.28/1.64 ), Y ) ) ) ],
% 1.28/1.64 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ), =( X,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.28/1.64 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z
% 1.28/1.64 ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 1.28/1.64 , X ), Z ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.28/1.64 X ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.28/1.64 X ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.28/1.64 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.28/1.64 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.28/1.64 Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.28/1.64 Z, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.28/1.64 ), Z ) ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP(
% 1.28/1.64 hAPP( 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), Z ) ) ) ],
% 1.28/1.64 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ), Y,
% 1.28/1.64 'tc_nat' ) ) ],
% 1.28/1.64 [ 'c_lessequals'( X, 'c_Suc'( Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Y,
% 1.28/1.64 'tc_nat' ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.64 'class_Int_Onumber__ring'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.28/1.64 Z, X ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), 'c_HOL_Oinverse__class_Oinverse'(
% 1.28/1.64 Z, X ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 1.28/1.64 [ ~( 'c_lessequals'( 'c_Suc'( X ), X, 'tc_nat' ) ) ],
% 1.28/1.64 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 1.28/1.64 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), Z, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ), ~(
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), Z, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~(
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.28/1.64 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.28/1.64 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 1.28/1.64 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.28/1.64 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 1.28/1.64 'tc_bool' ) ) ) ],
% 1.28/1.64 [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 1.28/1.64 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oabs__if'( X ) ), =( hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ), Y ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ), =( Z,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 , =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.28/1.64 ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ), X ), ~(
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Z, U, X ) ), ~(
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Z, X ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Omult__mono'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Omult__mono1'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T, X ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.28/1.64 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), U ) ) ) ), =( T, U ), =( Z,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( =( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ), 'tc_nat' ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), T, X ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), Y, X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.28/1.64 , ~( 'c_lessequals'( Z, hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X )
% 1.28/1.64 , Y ), T ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( 'c_lessequals'( Z, hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( =( 'c_Suc'( X ), X ) ) ],
% 1.28/1.64 [ ~( =( X, 'c_Suc'( X ) ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_Power_Opower_Opower'( X, Y, Z ), T ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'( X
% 1.28/1.64 ) ) ), =( 'c_HOL_Oinverse__class_Oinverse'( Y, X ), Z ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~( =(
% 1.28/1.64 hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.64 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), ~(
% 1.28/1.64 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 1.28/1.64 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 1.28/1.64 'tc_bool' ) ), X ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), T ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.28/1.64 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.28/1.64 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), T ) ), Z ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.28/1.64 X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.28/1.64 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.64 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.64 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ), Z ) ) ) ],
% 1.28/1.64 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.28/1.64 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 1.28/1.64 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 1.28/1.64 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 1.28/1.64 'tc_bool' ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 1.28/1.64 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 1.28/1.64 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 1.28/1.64 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.28/1.64 ), Y ), Z ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X, 'tc_bool' ) ) ),
% 1.28/1.64 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.28/1.64 ), Y ), T ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.28/1.64 ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'(
% 1.28/1.64 X, 'tc_bool' ) ), T ), Z ) ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( X,
% 1.28/1.64 'tc_bool' ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 1.28/1.64 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 1.28/1.64 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 1.28/1.64 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( 'c_Finite__Set_Ocard'(
% 1.28/1.64 'c_Set_Oinsert'( Y, Z, X ), X ), 'c_Suc'( 'c_Finite__Set_Ocard'( Z, X ) )
% 1.28/1.64 ), =( 'c_Finite__Set_Ocard'( Z, X ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ) ],
% 1.28/1.64 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.28/1.64 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 1.28/1.64 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 1.28/1.64 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 1.28/1.64 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( X, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) )
% 1.28/1.64 ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_Suc'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), 'c_Suc'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), Y ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Oab__semigroup__idem__mult'( X ) ), =( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), Y ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.28/1.64 ) ), 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X
% 1.28/1.64 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Z ), Y ) ) ),
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Z,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.64 ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.28/1.64 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~( =(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ), =( Z,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), ~( =(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Z, X ) ) ), =( Y, Z ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ),
% 1.28/1.64 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.28/1.64 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ),
% 1.28/1.64 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.28/1.64 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( 'c_HOL_Ozero__class_Ozero'( X ), X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =(
% 1.28/1.64 'c_Finite__Set_Ofold__image'( 'c_HOL_Otimes__class_Otimes'( X ), Y, Z,
% 1.28/1.64 'c_Set_Oinsert'( T, U, W ), X, W ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, T ) ),
% 1.28/1.64 'c_Finite__Set_Ofold__image'( 'c_HOL_Otimes__class_Otimes'( X ), Y, Z, U
% 1.28/1.64 , X, W ) ) ), hBOOL( hAPP( hAPP( 'c_in'( W ), T ), U ) ), ~(
% 1.28/1.64 'c_Finite__Set_Ofinite'( U, W ) ) ],
% 1.28/1.64 [ =( 'c_Suc'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X )
% 1.28/1.64 , 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), X ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), X ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ), Y ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 1.28/1.64 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( X, T ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( U, T, X
% 1.28/1.64 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), 'c_lessequals'( Z, Y, X
% 1.28/1.64 ), ~( 'c_lessequals'( U, T, X ) ) ],
% 1.28/1.64 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 1.28/1.64 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 1.28/1.64 'tc_bool' ) ) ) ],
% 1.28/1.64 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 1.28/1.64 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 1.28/1.64 'tc_bool' ) ) ],
% 1.28/1.64 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 1.28/1.64 , X ), 'c_Suc'( Y ) ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.28/1.64 'tc_nat' ), X ), Y ) ) ],
% 1.28/1.64 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 1.28/1.64 , Y ), 'c_Suc'( X ) ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.28/1.64 'tc_nat' ), Y ), X ) ) ],
% 1.28/1.64 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 1.28/1.64 ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 1.28/1.64 ), 'c_Suc'( Y ) ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), X ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ) ],
% 1.28/1.64 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.28/1.64 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.28/1.64 ), Y ) ), =( 'c_Suc'( X ), Y ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X ) ),
% 1.28/1.64 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( X
% 1.28/1.64 ) ) ) ],
% 1.28/1.64 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y )
% 1.28/1.64 ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ),
% 1.28/1.64 'c_Suc'( X ) ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.28/1.64 Y ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X
% 1.28/1.64 ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.28/1.64 ), 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.28/1.64 'tc_nat' ), X ), Y ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.28/1.64 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.28/1.64 ), 'c_Suc'( Y ) ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_Suc'( X )
% 1.28/1.64 ), 'c_Suc'( Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.28/1.64 'tc_nat' ), X ), Y ) ) ) ],
% 1.28/1.64 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.28/1.64 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.28/1.64 [ ~( =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y )
% 1.28/1.64 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.28/1.64 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), X
% 1.28/1.64 ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 1.28/1.64 , Y ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.28/1.64 Y ) ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'( Y
% 1.28/1.64 ) ), 'c_Suc'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y
% 1.28/1.64 ) ) ) ],
% 1.28/1.64 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.28/1.64 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.28/1.64 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.28/1.64 [ ~( hBOOL( hAPP( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.28/1.64 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), Y ) )
% 1.28/1.64 ) ), hBOOL( hAPP( X, Z ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'c_Suc'( X ) )
% 1.28/1.64 , Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), 'c_Suc'(
% 1.28/1.64 Y ) ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ],
% 1.28/1.64 [ =( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ), X ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ), X ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ), Y ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), ~( 'c_lessequals'( U
% 1.28/1.64 , Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.64 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.64 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ),
% 1.28/1.64 ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.64 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.28/1.64 'c_lessequals'( Z, U, X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ), X ), ~( 'c_lessequals'( U
% 1.28/1.64 , Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), U ) ) ), ~( 'c_lessequals'( Y, T, X )
% 1.28/1.64 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), T ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.28/1.64 ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T )
% 1.28/1.64 ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), T ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z )
% 1.28/1.64 ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), T ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T )
% 1.28/1.64 ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.64 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.28/1.64 , Z, X ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'( Y
% 1.28/1.64 , Z, X ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Z, X ),
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Z, X ), X ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.28/1.64 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ),
% 1.28/1.64 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), U ) )
% 1.28/1.64 ), ~( 'c_lessequals'( Y, T, X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), T ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.28/1.64 'c_lessequals'( T, Z, X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ),
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ), X ), ~(
% 1.28/1.64 'c_lessequals'( Z, T, X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.28/1.64 ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T )
% 1.28/1.64 , Y ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ), X ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semiring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), T ) )
% 1.28/1.64 ), ~( 'c_lessequals'( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y )
% 1.28/1.64 , T ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ), X ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), X ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
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% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
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% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.64 ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
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% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Z ), T ), X ), ~(
% 1.28/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), 'c_HOL_Ozero__class_Ozero'( X
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% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
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% 1.28/1.64 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( 'c_lessequals'( Y, hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), T, X ), ~(
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ],
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% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
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% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.28/1.64 'c_Int_Oring__1__class_OInts'( X ) ) ) ), =( Y,
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% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
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% 1.28/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), 'c_HOL_Ozero__class_Ozero'( X ), X )
% 1.28/1.64 ],
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% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.28/1.64 ), X ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.28/1.64 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), =( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Z ), Z ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y )
% 1.28/1.64 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Y ) ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z )
% 1.28/1.64 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
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% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ) ), =( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Z ) ) ) ), =( Z,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.28/1.64 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.28/1.64 ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.28/1.64 X ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.28/1.64 ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
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% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.28/1.64 ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ), Y, X ), 'c_lessequals'( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.28/1.64 X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Y, X ), ~(
% 1.28/1.64 'c_lessequals'( Z, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), Z, X ), ~(
% 1.28/1.64 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~(
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~(
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
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% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.64 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.28/1.64 ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.28/1.64 ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.64 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.28/1.64 ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.28/1.64 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.28/1.64 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
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% 1.28/1.64 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.28/1.64 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ) ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ) ) ) ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), ~(
% 1.28/1.64 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.64 hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( hAPP( Z,
% 1.28/1.64 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__nonpos__1__1'( T, Z, Y, X ) )
% 1.28/1.64 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
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% 1.28/1.64 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y,
% 1.28/1.64 X ), Z ), T ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.28/1.64 hAPP( Z, 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__nonneg__1__1'( T, Z,
% 1.28/1.64 Y, X ) ), X ) ) ],
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% 1.28/1.64 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.28/1.64 ), Z ) ), hAPP( hAPP( 'c_Power_Opower_Opower'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oplus__class_Oplus'( X ), X ), Y
% 1.28/1.64 ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.28/1.64 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X )
% 1.28/1.64 , Z, X, X, Y ) ), T ), X ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.28/1.64 Y, Z, X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ),
% 1.28/1.64 ~( 'c_lessequals'( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ),
% 1.28/1.64 'c_Suc'( T ) ), hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Z ),
% 1.28/1.64 'c_Suc'( T ) ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.28/1.64 , Y ) ), Z ), X ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), T ), 'c_Suc'( Z ) ) ) ), =( Y, T ),
% 1.28/1.64 ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~(
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_Finite__Set_Osetprod'( Y, Z, T, X ),
% 1.28/1.64 X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( Y,
% 1.28/1.64 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__nonneg__1__1'( Z, Y, T, X ) )
% 1.28/1.64 , X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 'c_Finite__Set_Osetprod'( Y, Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP(
% 1.28/1.64 Y, 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__pos__1__1'( Z, Y, T, X ) )
% 1.28/1.64 ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y
% 1.28/1.64 , X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.28/1.64 'c_COMBC'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Z, X, 'tc_fun'(
% 1.28/1.64 X, X ), Y ), Y, X, X ), U ) ), T ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'(
% 1.28/1.64 Y, X ), Z ), T ) ), U ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ),
% 1.28/1.64 hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oinverse__class_Odivide'( X ), Z, X,
% 1.28/1.64 'tc_fun'( X, X ), Y ), Y, X, X ), U ) ), T ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), ~(
% 1.28/1.64 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) )
% 1.28/1.64 ],
% 1.28/1.64 [ =( 'c_Finite__Set_Ocard'( 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 1.28/1.64 'c_Finite__Set_Ocard'( Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ),
% 1.28/1.64 Y ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ],
% 1.28/1.64 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 1.28/1.64 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 1.28/1.64 'tc_bool' ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), 'c_Suc'( Y ) ) ), X ) ),
% 1.28/1.64 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.28/1.64 X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), U ), W ) ) ), T
% 1.28/1.64 ), X ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, W, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Odvd'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Ocomm__ring'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.28/1.64 X ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), W
% 1.28/1.64 ), X ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), W ), X ) ), ~(
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( Y, U, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), T ), U ) ) ), =( Z,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( U, 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.64 ), =( hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), U ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), U ) ) ), =( U,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.64 ), =( hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), U ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), T ), Z ) ) ],
% 1.28/1.64 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.28/1.64 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( Y, 'c_Suc'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ), =( X, 'c_Suc'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ],
% 1.28/1.64 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.28/1.64 'c_Suc'( 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ) ), =( X,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), =( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 1.28/1.64 ), Y ), Z ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 1.28/1.64 'tc_bool' ) ) ) ],
% 1.28/1.64 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( Z,
% 1.28/1.64 'tc_bool' ) ), X ), Y ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 1.28/1.64 'tc_bool' ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'( Z
% 1.28/1.64 , 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( T, Y, X ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Odivision__ring'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.28/1.64 , X ) ), Z ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Opordered__cancel__semiring'( X ) ),
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'( Z,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__ring__strict'( X ) ),
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Y ), X ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.64 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Z ), X ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.64 , X ) ), ~( 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Opordered__ring'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z
% 1.28/1.64 , X ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~( =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y ), Z ), 'c_HOL_Oone__class_Oone'(
% 1.28/1.64 X ) ) ), =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ), =( Y, Z ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ), X ) ],
% 1.28/1.64 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( 'c_Suc'( X ),
% 1.28/1.64 'c_Suc'( Y ), 'tc_nat' ) ) ],
% 1.28/1.64 [ 'c_lessequals'( 'c_Suc'( X ), 'c_Suc'( Y ), 'tc_nat' ), ~(
% 1.28/1.64 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y )
% 1.28/1.64 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.28/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X )
% 1.28/1.64 , Z ) ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ) ), X ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Oab__semigroup__mult'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ), Z ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ), T ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), ~( =( hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), Y ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ),
% 1.28/1.64 Z ) ) ), 'c_Ring__and__Field_Odvd__class_Odvd'( Y, Z, X ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( X, Y ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_in'( Z ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ), 'c_Finite__Set_Osetprod'( X, T, Z, 'tc_nat' ) ) ) ), ~(
% 1.28/1.64 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.28/1.64 'c_Finite__Set_Osetprod'( Y, 'c_Set_Oinsert'( Z, T, U ), U, X ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP( Y, Z ) ),
% 1.28/1.64 'c_Finite__Set_Osetprod'( Y, T, U, X ) ) ), hBOOL( hAPP( hAPP( 'c_in'( U
% 1.28/1.64 ), Z ), T ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.28/1.64 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_Finite__Set_Ofold__image'(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y, 'c_HOL_Oone__class_Oone'( X ), Z, X
% 1.28/1.64 , T ) ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.28/1.64 X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ),
% 1.28/1.64 'c_Int_Oring__1__class_OInts'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.28/1.64 , Z ), 'c_Int_Oring__1__class_OInts'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_in'( X ), Y ), 'c_Int_Oring__1__class_OInts'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.28/1.64 'c_lessequals'( hAPP( 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Y )
% 1.28/1.64 ), hAPP( 'c_HOL_Oabs__class_Oabs'( X ), Z ) ), X ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__abs'( X ) ),
% 1.28/1.64 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), T ) ), X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), Z, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oring__1'( X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.28/1.64 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_Int_Oring__1__class_OInts'( X )
% 1.28/1.64 ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ), 'c_HOL_Oone__class_Oone'( X ),
% 1.28/1.64 X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'( Y,
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ), X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.28/1.64 X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X )
% 1.28/1.64 ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.28/1.64 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.28/1.64 ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.28/1.64 ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.64 X ), 'c_HOL_Oone__class_Oone'( X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ),
% 1.28/1.64 Y ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'(
% 1.28/1.64 X ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X )
% 1.28/1.64 ) ), Z ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Z ), Y ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.64 X ), Z ), 'c_HOL_Oone__class_Oone'( X ) ) ), Y ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.28/1.64 'c_Finite__Set_Ofold__image'( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.28/1.64 'c_COMBS'( 'c_COMBB'( 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'(
% 1.28/1.64 X, X ), Z ), T, Z, X, X ), 'c_HOL_Oone__class_Oone'( X ), U, X, Z ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Otimes__class_Otimes'( X ), 'c_Finite__Set_Ofold__image'(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y, 'c_HOL_Oone__class_Oone'( X ), U, X
% 1.28/1.64 , Z ) ), 'c_Finite__Set_Ofold__image'( 'c_HOL_Otimes__class_Otimes'( X )
% 1.28/1.64 , T, 'c_HOL_Oone__class_Oone'( X ), U, X, Z ) ) ), ~(
% 1.28/1.64 'c_Finite__Set_Ofinite'( U, Z ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Osemiring__0'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Z, X ), T ), U ) ), hAPP( hAPP(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Z, X ), 'c_COMBB'( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), T, X, X, Z ) ), U ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ), =( hAPP(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X
% 1.28/1.64 ), 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X ), Z, X, X, Y ) ), T ) ), hAPP(
% 1.28/1.64 hAPP( 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBB'(
% 1.28/1.64 'c_HOL_Oabs__class_Oabs'( X ), Z, X, X, Y ) ), T ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ), X ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ), Y ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.28/1.64 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( 'c_lessequals'(
% 1.28/1.64 Y, X, 'tc_nat' ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.28/1.64 'tc_nat' ), X ), Z ) ) ) ],
% 1.28/1.64 [ ~( 'c_lessequals'( X, X, 'tc_nat' ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( X ) ) ) ],
% 1.28/1.64 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'( Y ) ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), 'c_Suc'(
% 1.28/1.64 Y ) ) ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.28/1.64 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.28/1.64 ~( 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.28/1.64 [ 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.28/1.64 ~( 'c_lessequals'( 'c_Suc'( X ), Y, 'tc_nat' ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.28/1.64 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ) ), ~(
% 1.28/1.64 'c_lessequals'( Z, Y, 'tc_nat' ) ), ~( 'c_lessequals'( Z, X, 'tc_nat' ) )
% 1.28/1.64 ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ), ~(
% 1.28/1.64 'c_lessequals'( Y, Z, 'tc_nat' ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) )
% 1.28/1.64 ],
% 1.28/1.64 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' )
% 1.28/1.64 , X ), 'c_Suc'( Y ) ) ) ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.28/1.64 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y
% 1.28/1.64 ) ), Z ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( 'c_HOL_Oone__class_Oone'( X ),
% 1.28/1.64 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'(
% 1.28/1.64 X ) ), Y ), X ) ],
% 1.28/1.64 [ ~( 'class_Power_Opower'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.28/1.64 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.28/1.64 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ), Z ),
% 1.28/1.64 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.28/1.64 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.28/1.64 ), Y ), Z, 'tc_nat' ), ~( 'c_lessequals'( X, hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ), ~(
% 1.28/1.64 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.28/1.64 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat'
% 1.28/1.64 ), Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ), ~(
% 1.28/1.64 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.28/1.64 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.28/1.64 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ),
% 1.28/1.64 X ), Y ), Z, 'tc_nat' ), ~( 'c_lessequals'( X, hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ) ), ~( 'c_lessequals'(
% 1.28/1.64 Z, Y, 'tc_nat' ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~(
% 1.28/1.64 'c_lessequals'( Z, X, 'tc_nat' ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~(
% 1.28/1.64 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.28/1.64 [ ~( 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.28/1.64 ), Y ), X ), 'tc_nat' ) ), =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 1.28/1.64 'tc_nat' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X )
% 1.28/1.64 ), X ), Y ) ],
% 1.28/1.64 [ ~( 'c_lessequals'( X, Y, 'tc_nat' ) ), =( Y, hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), X ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), X ) ), Y ), ~(
% 1.28/1.64 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Y ), X ), ~(
% 1.28/1.64 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ) ), ~(
% 1.28/1.64 'c_lessequals'( Z, Y, 'tc_nat' ) ) ],
% 1.28/1.64 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ), ~(
% 1.28/1.64 'c_lessequals'( Y, X, 'tc_nat' ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), ~( =( hAPP( Y,
% 1.28/1.64 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__1_H__1__1'( Z, Y, T, X ) ),
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ) ) ), =( 'c_Finite__Set_Osetprod'( Y, Z, T,
% 1.28/1.64 X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.28/1.64 'c_Finite__Set_Osetprod'( 'c_COMBK'( 'c_HOL_Oone__class_Oone'( X ), X, Y
% 1.28/1.64 ), Z, Y, X ), 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), T ), X ), ~( 'c_lessequals'( Z
% 1.28/1.64 , T, 'tc_nat' ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), T ), U ), X ), ~( 'c_lessequals'( Z
% 1.28/1.64 , U, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( Y, T, X ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), T, X ), ~( 'c_lessequals'(
% 1.28/1.64 Z, U, 'tc_nat' ) ), ~( 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), U ), T, X ) ) ],
% 1.28/1.64 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.28/1.64 ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ],
% 1.28/1.64 [ =( 'c_Suc'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.28/1.64 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ) ) )
% 1.28/1.64 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower_Opower'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.28/1.64 'tc_nat' ) ), Y ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ),
% 1.28/1.64 'c_Ring__and__Field_Odvd__class_Odvd'( hAPP( Y, Z ),
% 1.28/1.64 'c_Finite__Set_Osetprod'( Y, T, U, X ), X ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.28/1.64 U ), Z ), T ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBS'( 'c_COMBB'(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( X ), Z, X, 'tc_fun'( X, X ), Y ), T, Y, X,
% 1.28/1.64 X ) ), U ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.28/1.64 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.28/1.64 hBOOL( hAPP( hAPP( 'c_in'( T ),
% 1.28/1.64 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__1_H__1__1'( Z, Y, T, X ) ), Z
% 1.28/1.64 ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =(
% 1.28/1.64 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.28/1.64 ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), =( hAPP( Y,
% 1.28/1.64 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1'( Z, Y, T, X
% 1.28/1.64 ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( =( 'c_Finite__Set_Osetprod'( X, Y, Z, 'tc_nat' ),
% 1.28/1.64 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y,
% 1.28/1.64 Z ) ), =( hAPP( X, T ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_in'( Z ), T ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Z, X ), T, 'tc_fun'( Z, X ), 'tc_fun'( 'tc_fun'(
% 1.28/1.64 Z, 'tc_bool' ), X ), Y ), Y, 'tc_fun'( Z, 'tc_bool' ), X ), U ) ), W ),
% 1.28/1.64 hAPP( hAPP( 'c_Finite__Set_Osetsum'( Z, X ), hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBC'( T, Y, Z, X ), 'tc_fun'( Y, X
% 1.28/1.64 ), 'tc_fun'( 'tc_fun'( Y, 'tc_bool' ), X ), Z ), Z, 'tc_fun'( Y,
% 1.28/1.64 'tc_bool' ), X ), W ) ), U ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.64 'c_Finite__Set_Ocard'( X, Y ) ), 'c_Finite__Set_Ocard'( Z, Y ) ) ), ~(
% 1.28/1.64 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, 'tc_bool' ) )
% 1.28/1.64 , X ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.28/1.64 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ), 'c_Finite__Set_Ocard'( X, Y ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.28/1.64 'c_Finite__Set_Osetprod'( 'c_COMBS'( 'c_COMBB'(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z, X,
% 1.28/1.64 X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Otimes__class_Otimes'( X ),
% 1.28/1.64 'c_Finite__Set_Osetprod'( Y, U, Z, X ) ), 'c_Finite__Set_Osetprod'( T, U
% 1.28/1.64 , Z, X ) ) ) ],
% 1.28/1.64 [ =( X, Y ), ~( 'c_lessequals'( 'c_Finite__Set_Ocard'( Y, Z ),
% 1.28/1.64 'c_Finite__Set_Ocard'( X, Z ), 'tc_nat' ) ), ~( 'c_lessequals'( X, Y,
% 1.28/1.64 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 1.28/1.64 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.28/1.64 'c_Set_Oinsert'( Z, X, Y ), Y ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'(
% 1.28/1.64 X, Y ) ) ],
% 1.28/1.64 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( X, Y ), 'c_Finite__Set_Ocard'(
% 1.28/1.64 Z, Y ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) )
% 1.28/1.64 , ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 1.28/1.64 [ 'c_lessequals'( 'c_Finite__Set_Ocard'( 'c_Set_Oimage'( X, Y, Z, T ), T
% 1.28/1.64 ), 'c_Finite__Set_Ocard'( Y, Z ), 'tc_nat' ), ~( 'c_Finite__Set_Ofinite'(
% 1.28/1.64 Y, Z ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X )
% 1.28/1.64 ), 'c_HOL_Oone__class_Oone'( X ) ) ), ~( 'c_lessequals'( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) )
% 1.28/1.64 , ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ),
% 1.28/1.64 'c_HOL_Oinverse__class_Oinverse'( Y, X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ),
% 1.28/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y
% 1.28/1.64 , X ) ), 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__field'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Oinverse__class_Oinverse'( Y, X ),
% 1.28/1.64 X ), ~( 'c_lessequals'( Y, 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_Int_Oring__char__0'( X ) ), ~( =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.64 X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ), Y ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y
% 1.28/1.64 ), 'c_Int_Oring__1__class_OInts'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), ~(
% 1.28/1.64 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y,
% 1.28/1.64 X ), Z ), T ), X ), hBOOL( hAPP( hAPP( 'c_in'( Y ),
% 1.28/1.64 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__nonneg__1__1'( T, Z, Y, X ) )
% 1.28/1.64 , T ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ), ~(
% 1.28/1.64 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( hAPP(
% 1.28/1.64 hAPP( 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), hBOOL( hAPP( hAPP( 'c_in'( Y ),
% 1.28/1.64 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__nonpos__1__1'( T, Z, Y, X ) )
% 1.28/1.64 , T ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__group__add__abs'( X ) ),
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBB'( 'c_HOL_Oabs__class_Oabs'( X )
% 1.28/1.64 , Z, X, X, Y ) ), T ), X ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_Finite__Set_Osetprod'( Y, Z, T, X ),
% 1.28/1.64 X ), hBOOL( hAPP( hAPP( 'c_in'( T ),
% 1.28/1.64 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__nonneg__1__1'( Z, Y, T, X ) )
% 1.28/1.64 , Z ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 'c_Finite__Set_Osetprod'( Y, Z, T, X ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T
% 1.28/1.64 ), 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__pos__1__1'( Z, Y, T, X )
% 1.28/1.64 ), Z ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Y, X ), Z ), 'c_Set_Oinsert'( T, U, Y ) ), hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Z, T ) ), hAPP( hAPP(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.28/1.64 Y ), T ), U ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), 'c_Finite__Set_Ofold__image'(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z, 'c_HOL_Ozero__class_Ozero'( X ), T, X
% 1.28/1.64 , Y ) ), ~( 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Suc'( Z ) ) ),
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.28/1.64 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.28/1.64 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), =( Y, T ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =(
% 1.28/1.64 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.28/1.64 ), ~( 'c_Finite__Set_Ofinite'( Z, T ) ), hBOOL( hAPP( hAPP( 'c_in'( T )
% 1.28/1.64 , 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1'( Z, Y, T,
% 1.28/1.64 X ) ), Z ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.28/1.64 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( 'tc_nat' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ofield'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Odivision__by__zero'( X ) ), =(
% 1.28/1.64 'c_Finite__Set_Osetprod'( 'c_COMBS'( 'c_COMBB'(
% 1.28/1.64 'c_HOL_Oinverse__class_Odivide'( X ), Y, X, 'tc_fun'( X, X ), Z ), T, Z,
% 1.28/1.64 X, X ), U, Z, X ), hAPP( hAPP( 'c_HOL_Oinverse__class_Odivide'( X ),
% 1.28/1.64 'c_Finite__Set_Osetprod'( Y, U, Z, X ) ), 'c_Finite__Set_Osetprod'( T, U
% 1.28/1.64 , Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Z ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Y, X ), Z ),
% 1.28/1.64 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( Y,
% 1.28/1.64 'tc_bool' ) ) ), hAPP( hAPP( 'c_Finite__Set_Osetsum'( Y, X ), hAPP(
% 1.28/1.64 'c_COMBC'( 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( X ), hAPP( 'c_COMBC'(
% 1.28/1.64 'c_in'( Y ), Y, 'tc_fun'( Y, 'tc_bool' ), 'tc_bool' ), U ), 'tc_bool',
% 1.28/1.64 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), Z, Y, X, 'tc_fun'( X, X ) ), Y, X,
% 1.28/1.64 X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), T ) ), ~(
% 1.28/1.64 'c_Finite__Set_Ofinite'( T, Y ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.28/1.64 'c_Finite__Set_Osetprod'( 'c_COMBK'( Y, X, Z ), T, Z, X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), 'c_Finite__Set_Ocard'( T, Z ) )
% 1.28/1.64 ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.28/1.64 ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'(
% 1.28/1.64 X ) ), Y ) ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 1.28/1.64 'c_Int_Oring__1__class_OInts'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.64 X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ), Y ) ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X )
% 1.28/1.64 , Y ), 'c_Int_Oring__1__class_OInts'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 1.28/1.64 'c_Finite__Set_Ofold__image'( 'c_HOL_Oplus__class_Oplus'( X ), 'c_COMBS'(
% 1.28/1.64 'c_COMBB'( 'c_HOL_Oplus__class_Oplus'( X ), Y, X, 'tc_fun'( X, X ), Z ),
% 1.28/1.64 T, Z, X, X ), 'c_HOL_Ozero__class_Ozero'( X ), U, X, Z ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_Finite__Set_Ofold__image'(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y, 'c_HOL_Ozero__class_Ozero'( X ), U, X
% 1.28/1.64 , Z ) ), 'c_Finite__Set_Ofold__image'( 'c_HOL_Oplus__class_Oplus'( X ), T
% 1.28/1.64 , 'c_HOL_Ozero__class_Ozero'( X ), U, X, Z ) ) ), ~(
% 1.28/1.64 'c_Finite__Set_Ofinite'( U, Z ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 'tc_nat' ) ), Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.64 , Y, X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T
% 1.28/1.64 ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'v_F'( W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X1__1'( W
% 1.28/1.64 , Z, T, X, U, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W, 'v_sko__local__X1__1'( W
% 1.28/1.64 , Z, T, X, U, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.64 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.64 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), W ),
% 1.28/1.64 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( U, X ), =( T, Y ), =( X, Y )
% 1.28/1.64 , =( T, U ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'v_F'( W ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X1__1'( W
% 1.28/1.64 , Z, T, X, U, Y ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W, 'v_sko__local__X1__1'( W
% 1.28/1.64 , Z, T, X, U, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.64 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.64 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), W ),
% 1.28/1.64 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( U, X ), =( T, Y ), =( X, Y )
% 1.28/1.64 , =( T, U ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.28/1.64 'c_Finite__Set_Osetprod'( hAPP( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'(
% 1.28/1.64 'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_fequal'( Y ), Y, Y, 'tc_bool' ), Z
% 1.28/1.64 ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X
% 1.28/1.64 , X ) ), Y, X, X ), U ), W, Y, X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Otimes__class_Otimes'( X ), hAPP( T, Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), U ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Ominus__class_Ominus'( 'tc_nat' ), 'c_Finite__Set_Ocard'( W, Y ) )
% 1.28/1.64 , 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_in'( Y ), Z ), W ) ) ), ~( 'c_Finite__Set_Ofinite'( W, Y ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'v_F'( W ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X2__1'( W
% 1.28/1.64 , Z, T, X, U, Y ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W, 'v_sko__local__X2__1'( W
% 1.28/1.64 , Z, T, X, U, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.64 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.64 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), W ),
% 1.28/1.64 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( U, X ), =( T, Y ), =( X, Y )
% 1.28/1.64 , =( T, U ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.28/1.64 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), T ), X ), ~( 'c_lessequals'( Y
% 1.28/1.64 , 'c_HOL_Oone__class_Oone'( X ), X ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( T, Z,
% 1.28/1.64 'tc_nat' ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.28/1.64 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( 'tc_nat' ), T ), Z ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =( hAPP( Y, Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Z
% 1.28/1.64 ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =(
% 1.28/1.64 'c_Finite__Set_Osetprod'( Y, U, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), ~( =( hAPP( Y,
% 1.28/1.64 Z ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T
% 1.28/1.64 ), Z ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, T ) ), =(
% 1.28/1.64 'c_Finite__Set_Osetprod'( Y, U, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Z ), T ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Oone__class_Oone'( X
% 1.28/1.64 ) ), 'c_HOL_Oone__class_Oone'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ) ) ), ~( 'c_lessequals'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.28/1.64 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( 'c_lessequals'( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.28/1.64 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~( 'c_lessequals'( Y, T, X
% 1.28/1.64 ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.28/1.64 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ), Z ) ) ), ~( 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~(
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ), 'c_Finite__Set_Ofinite'( T, Y ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_Finite__Set_Osetsum'( Y, X ), Z ), T ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ), 'c_Finite__Set_Ofinite'( T, Y ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.28/1.64 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.64 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), ~( 'c_lessequals'( Y, T, X ) )
% 1.28/1.64 ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~(
% 1.28/1.64 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ), X ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Z ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X
% 1.28/1.64 ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), 'c_HOL_Ozero__class_Ozero'(
% 1.28/1.64 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oord__class_Oless'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ) )
% 1.28/1.64 ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.64 X ), Y ), Y ) ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 Y ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.28/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.28/1.64 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 1.28/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.28/1.64 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.28/1.64 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.28/1.64 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.28/1.64 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 1.28/1.64 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 1.28/1.64 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 1.28/1.64 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 1.28/1.64 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Ono__zero__divisors'( X ) ), ~(
% 1.28/1.64 'class_Ring__and__Field_Omult__zero'( X ) ), ~( 'class_Power_Opower'( X )
% 1.28/1.64 ), ~( =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oring__1__no__zero__divisors'( X ) ), ~(
% 1.28/1.64 =( hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 1.28/1.64 ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.28/1.64 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 1.28/1.64 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 1.28/1.64 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 1.28/1.64 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 1.28/1.64 ,
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.28/1.64 Y ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.28/1.64 Y ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.28/1.64 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 Y ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.28/1.64 Y ) ],
% 1.28/1.64 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 Y ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 1.28/1.64 Y ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.64 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 1.28/1.64 Y ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.28/1.64 'c_HOL_Oone__class_Oone'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 1.28/1.64 [ ~( 'class_Ring__and__Field_Ozero__neq__one'( X ) ), ~( =(
% 1.28/1.64 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Oone__class_Oone'( X ) ) ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'v_F'( W ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W, 'v_sko__local__X2__1'( Z
% 1.28/1.64 , W, X, T, Y, U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X2__1'( Z
% 1.28/1.64 , W, X, T, Y, U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.64 'tc_bool' ) ) ), W ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.64 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.28/1.64 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( Y, T ), =( X, U ), =( T, U )
% 1.28/1.64 , =( X, Y ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'v_F'( W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X2__1'( W
% 1.28/1.64 , Z, T, X, U, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W, 'v_sko__local__X2__1'( W
% 1.28/1.64 , Z, T, X, U, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.64 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.64 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), W ),
% 1.28/1.64 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( U, X ), =( T, Y ), =( X, Y )
% 1.28/1.64 , =( T, U ) ],
% 1.28/1.64 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.64 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'v_F'( W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W, 'v_sko__local__X2__1'( Z
% 1.28/1.64 , W, X, T, Y, U ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.64 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X2__1'( Z
% 1.28/1.64 , W, X, T, Y, U ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.64 'tc_bool' ) ) ), W ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.64 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.64 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.64 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.28/1.65 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( Y, T ), =( X, U ), =( T, U )
% 1.28/1.65 , =( X, Y ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'v_F'( W ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z,
% 1.28/1.65 'v_sko__local__Xpairwise__neutrality__1'( W, Z, T, X, U, Y ) ) ) ), hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( W, 'v_sko__local__Xpairwise__neutrality__1'( W, Z, T, X, U, Y ) )
% 1.28/1.65 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.65 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), W ),
% 1.28/1.65 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, Y ), =( T, U ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'v_F'( W ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W,
% 1.28/1.65 'v_sko__local__Xpairwise__neutrality__1'( Z, W, X, T, Y, U ) ) ) ), hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( Z, 'v_sko__local__Xpairwise__neutrality__1'( Z, W, X, T, Y, U ) )
% 1.28/1.65 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), W ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.65 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.28/1.65 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( T, U ), =( X, Y ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'v_F'( W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z,
% 1.28/1.65 'v_sko__local__Xpairwise__neutrality__1'( W, Z, T, X, U, Y ) ) ) ) ), ~(
% 1.28/1.65 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( W, 'v_sko__local__Xpairwise__neutrality__1'( W, Z, T, X, U, Y ) )
% 1.28/1.65 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.65 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), W ),
% 1.28/1.65 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, Y ), =( T, U ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, U,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'v_F'( W ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( W,
% 1.28/1.65 'v_sko__local__Xpairwise__neutrality__1'( Z, W, X, T, Y, U ) ) ) ) ), ~(
% 1.28/1.65 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( Z, 'v_sko__local__Xpairwise__neutrality__1'( Z, W, X, T, Y, U ) )
% 1.28/1.65 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), W ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.65 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.28/1.65 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( T, U ), =( X, Y ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'v_F'( T ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X3__1'( T
% 1.28/1.65 , Z, Y, X ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T, 'v_sko__local__X3__1'( T
% 1.28/1.65 , Z, Y, X ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.65 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), T ),
% 1.28/1.65 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( Y, X ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'v_F'( T ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T, 'v_sko__local__X3__1'( Z
% 1.28/1.65 , T, X, Y ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X3__1'( Z
% 1.28/1.65 , T, X, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), T ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.65 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.28/1.65 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, Y ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'v_F'( T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X3__1'( T
% 1.28/1.65 , Z, Y, X ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T, 'v_sko__local__X3__1'( T
% 1.28/1.65 , Z, Y, X ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.65 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), T ),
% 1.28/1.65 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( Y, X ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'v_F'( T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( T, 'v_sko__local__X3__1'( Z
% 1.28/1.65 , T, X, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X3__1'( Z
% 1.28/1.65 , T, X, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), T ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.65 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.28/1.65 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, Y ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'v_F'( U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X4__1'( U
% 1.28/1.65 , Z, T, X, Y ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( T, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( U, 'v_sko__local__X4__1'( U
% 1.28/1.65 , Z, T, X, Y ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.65 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), U ),
% 1.28/1.65 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( T, Y ), =( X, Y ), =( T, X )
% 1.28/1.65 ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, T,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'v_F'( U ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( Y, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( U, 'v_sko__local__X4__1'( Z
% 1.28/1.65 , U, X, Y, T ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X4__1'( Z
% 1.28/1.65 , U, X, Y, T ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), U ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.65 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.28/1.65 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, T ), =( Y, T ), =( X, Y )
% 1.28/1.65 ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( T, X,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'v_F'( U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X4__1'( U
% 1.28/1.65 , Z, T, X, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( T, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( U, 'v_sko__local__X4__1'( U
% 1.28/1.65 , Z, T, X, Y ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), Z ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.65 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), U ),
% 1.28/1.65 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( T, Y ), =( X, Y ), =( T, X )
% 1.28/1.65 ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, T,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'v_F'( U ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( Y, T, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( U, 'v_sko__local__X4__1'( Z
% 1.28/1.65 , U, X, Y, T ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( Z, 'v_sko__local__X4__1'( Z
% 1.28/1.65 , U, X, Y, T ) ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), U ), 'c_Arrow__Order__Mirabelle_OProf' ) ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.65 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), Z ),
% 1.28/1.65 'c_Arrow__Order__Mirabelle_OProf' ) ) ), =( X, T ), =( Y, T ), =( X, Y )
% 1.28/1.65 ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'(
% 1.28/1.65 'c_HOL_OIf'( X ), hAPP( 'c_fequal'( Y ), Z ), 'tc_bool', 'tc_fun'( X,
% 1.28/1.65 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X ) ), Y, X, X ),
% 1.28/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ), U ), hAPP( T, Z ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( Y ), Z ), U ) ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'(
% 1.28/1.65 'c_HOL_OIf'( X ), hAPP( 'c_fequal'( Y ), Z ), 'tc_bool', 'tc_fun'( X,
% 1.28/1.65 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X, X ) ), Y, X, X ),
% 1.28/1.65 'c_HOL_Ozero__class_Ozero'( X ) ) ), U ), 'c_HOL_Ozero__class_Ozero'( X )
% 1.28/1.65 ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U ) ), ~(
% 1.28/1.65 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'(
% 1.28/1.65 'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_fequal'( Y ), Y, Y, 'tc_bool' ), Z
% 1.28/1.65 ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X
% 1.28/1.65 , X ) ), Y, X, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), U ),
% 1.28/1.65 'c_HOL_Ozero__class_Ozero'( X ) ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U
% 1.28/1.65 ) ), ~( 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_Finite__Set_Osetsum'( Y, X ), hAPP( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'(
% 1.28/1.65 'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_fequal'( Y ), Y, Y, 'tc_bool' ), Z
% 1.28/1.65 ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X
% 1.28/1.65 , X ) ), Y, X, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ), U ), hAPP( T, Z
% 1.28/1.65 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), U ) ) ), ~(
% 1.28/1.65 'c_Finite__Set_Ofinite'( U, Y ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.28/1.65 'c_Finite__Set_Osetprod'( hAPP( 'c_COMBC'( 'c_COMBS'( 'c_COMBB'(
% 1.28/1.65 'c_HOL_OIf'( X ), hAPP( 'c_COMBC'( 'c_fequal'( Y ), Y, Y, 'tc_bool' ), Z
% 1.28/1.65 ), 'tc_bool', 'tc_fun'( X, 'tc_fun'( X, X ) ), Y ), T, Y, X, 'tc_fun'( X
% 1.28/1.65 , X ) ), Y, X, X ), U ), W, Y, X ), hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), U ), 'c_Finite__Set_Ocard'( W, Y ) )
% 1.28/1.65 ), hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), W ) ), ~(
% 1.28/1.65 'c_Finite__Set_Ofinite'( W, Y ) ) ],
% 1.28/1.65 [ 'c_List_Oall__from__to__nat'( X, Y, Z ), ~( hBOOL( hAPP( X, Y ) ) ),
% 1.28/1.65 ~( 'c_List_Oall__from__to__nat'( X, hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.28/1.65 'tc_nat' ) ), Z ) ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), ~( =( hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) )
% 1.28/1.65 , =( Z, T ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.28/1.65 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( 'c_lessequals'( Z, U, X
% 1.28/1.65 ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) )
% 1.28/1.65 ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.28/1.65 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( 'c_lessequals'( Y, T, X
% 1.28/1.65 ) ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.28/1.65 'tc_nat' ) ), Y ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), Y ), 'c_HOL_Oone__class_Oone'(
% 1.28/1.65 'tc_nat' ) ), Y ) ],
% 1.28/1.65 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.28/1.65 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.28/1.65 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.28/1.65 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.28/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ), Y, 'tc_nat' ) ) ],
% 1.28/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), Y, 'tc_nat' ) ) ],
% 1.28/1.65 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.28/1.65 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.28/1.65 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.28/1.65 , Y ), Z ), 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.28/1.65 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.28/1.65 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ),
% 1.28/1.65 'tc_nat' ), ~( 'c_lessequals'( Y, T, 'tc_nat' ) ), ~( 'c_lessequals'( X,
% 1.28/1.65 Z, 'tc_nat' ) ) ],
% 1.28/1.65 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.28/1.65 , X ), Y ), 'tc_nat' ) ],
% 1.28/1.65 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.28/1.65 , Y ), X ), 'tc_nat' ) ],
% 1.28/1.65 [ 'c_lessequals'( X, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' )
% 1.28/1.65 , X ), Y ), 'tc_nat' ) ],
% 1.28/1.65 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.28/1.65 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ),
% 1.28/1.65 'tc_nat' ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.28/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ), 'tc_nat' ) ) ],
% 1.28/1.65 [ 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X
% 1.28/1.65 ), Y ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ),
% 1.28/1.65 'tc_nat' ), ~( 'c_lessequals'( Y, Z, 'tc_nat' ) ) ],
% 1.28/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.28/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.28/1.65 'tc_nat' ), Y ), Z ) ) ), ~( 'c_List_Oall__from__to__nat'( X, Y, Z ) ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ 'c_List_Oall__from__to__nat'( X, Y, Z ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.28/1.65 =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.28/1.65 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X
% 1.28/1.65 ), Y ) ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.28/1.65 =( X, Y ), ~( 'c_lessequals'( X, Y, 'tc_nat' ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Omonoid__mult'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y )
% 1.28/1.65 , 'c_HOL_Oone__class_Oone'( X ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 1.28/1.65 ), 'c_Wellfounded_Omlex__prod'( T, U, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ), U ) ) ), ~(
% 1.28/1.65 'c_lessequals'( hAPP( T, Y ), hAPP( T, Z ), 'tc_nat' ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.28/1.65 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 1.28/1.65 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.28/1.65 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.28/1.65 'c_lessequals'( Y, T, X ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.28/1.65 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.28/1.65 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.28/1.65 'c_lessequals'( Z, T, X ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.28/1.65 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.28/1.65 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 1.28/1.65 'c_lessequals'( Y, T, X ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 1.28/1.65 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 1.28/1.65 'c_lessequals'( Z, T, X ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 1.28/1.65 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 1.28/1.65 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.28/1.65 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), 'c_lessequals'( Z, Y, X ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 1.28/1.65 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.28/1.65 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( 'c_lessequals'( Z, Y, X
% 1.28/1.65 ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 1.28/1.65 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), 'c_lessequals'( Z, Y, X ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), 'c_lessequals'( Z, Y, X ),
% 1.28/1.65 ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.28/1.65 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.28/1.65 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, T, X )
% 1.28/1.65 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, X
% 1.28/1.65 ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( 'c_lessequals'( Y, T, X
% 1.28/1.65 ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z, X )
% 1.28/1.65 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( 'c_lessequals'(
% 1.28/1.65 Y, Z, X ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.28/1.65 ), =( Z, Y ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.28/1.65 ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.28/1.65 Y, Z, X ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( 'c_lessequals'(
% 1.28/1.65 Y, Z, X ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.28/1.65 ), =( Y, Z ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 1.28/1.65 , Z, X ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) )
% 1.28/1.65 ],
% 1.28/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( 'c_lessequals'( Y, Z, X )
% 1.28/1.65 ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.28/1.65 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), Y ), T ), X ), ~( 'c_lessequals'( Z
% 1.28/1.65 , T, 'tc_nat' ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ),
% 1.28/1.65 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.28/1.65 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 1.28/1.65 ) ) ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.28/1.65 Y, Z, 'tc_nat' ), ~( 'c_lessequals'( hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), T ), Y ), hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), T ), Z ), X ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T
% 1.28/1.65 ) ) ) ],
% 1.28/1.65 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 1.28/1.65 Y, X ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.28/1.65 hAPP( hAPP( 'c_Power_Opower__class_Opower'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), Y ), T ), X ), ~( 'c_lessequals'(
% 1.28/1.65 'c_HOL_Oone__class_Oone'( X ), Y, X ) ), ~( 'c_lessequals'( Z, T,
% 1.28/1.65 'tc_nat' ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.28/1.65 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.28/1.65 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__mult'( X ) ), =(
% 1.28/1.65 'c_Finite__Set_Osetprod'( Y, Z, T, X ), 'c_HOL_Oone__class_Oone'( X ) ),
% 1.28/1.65 'c_Finite__Set_Ofinite'( Z, T ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), 'c_lessequals'(
% 1.28/1.65 'c_HOL_Oone__class_Oone'( X ), hAPP( hAPP( 'c_Power_Opower__class_Opower'(
% 1.28/1.65 X ), Y ), Z ), X ), ~( 'c_lessequals'( 'c_HOL_Oone__class_Oone'( X ), Y,
% 1.28/1.65 X ) ) ],
% 1.28/1.65 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_nat' ) ), ~( 'c_lessequals'( X
% 1.28/1.65 , Y, 'tc_nat' ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.28/1.65 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 1.28/1.65 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 1.28/1.65 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.28/1.65 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 1.28/1.65 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 1.28/1.65 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.28/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), ~( 'c_lessequals'( Z, Y, 'tc_nat' )
% 1.28/1.65 ), ~( 'c_lessequals'( X, Z, 'tc_nat' ) ) ],
% 1.28/1.65 [ 'c_lessequals'( X, X, 'tc_nat' ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ 'c_lessequals'( X, Y, 'tc_nat' ), 'c_lessequals'( Y, X, 'tc_nat' ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 1.28/1.65 'c_lessequals'( Z, Y, X ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_Finite__Set_Osetsum'( Y, X ), 'c_COMBS'( 'c_COMBB'(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z, X, 'tc_fun'( X, X ), Y ), T, Y, X, X
% 1.28/1.65 ) ), U ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.65 'c_Finite__Set_Osetsum'( Y, X ), Z ), U ) ), hAPP( hAPP(
% 1.28/1.65 'c_Finite__Set_Osetsum'( Y, X ), T ), U ) ) ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), T ), Y ) ), hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T ) ) )
% 1.28/1.65 ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), Y ) ) )
% 1.28/1.65 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), T ) )
% 1.28/1.65 ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), T ), Y ) ), hAPP( hAPP(
% 1.28/1.65 'c_Power_Opower__class_Opower'( X ), T ), Z ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), 'c_HOL_Oone__class_Oone'( X ) ), T ) ) )
% 1.28/1.65 ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
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% 1.28/1.65 ],
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% 1.28/1.65 ],
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% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
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% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
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% 1.28/1.65 'c_Arrow__Order__Mirabelle_OProf' ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
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% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ), 'v_e____' ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'(
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% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
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% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omkbot', 'v_P____', 'tc_fun'( 'tc_prod'(
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% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 1.28/1.65 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ), 'v_e____' ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
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% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_c____', 'v_d____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( 'c_COMBS'( 'c_COMBS'(
% 1.28/1.65 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'(
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% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
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% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), hAPP( 'c_COMBC'(
% 1.28/1.65 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Omktop', 'v_P____', 'tc_fun'(
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% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_e____' ),
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'c_COMBS'(
% 1.28/1.65 'c_COMBS'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_fequal'( 'tc_nat' ),
% 1.28/1.65 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 1.28/1.65 , 'tc_nat', 'tc_bool' ), 'v_n____' ), 'tc_bool', 'tc_fun'( 'tc_fun'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ), hAPP( 'c_COMBC'(
% 1.28/1.65 hAPP( 'c_COMBC'( 'c_COMBB'( 'c_Arrow__Order__Mirabelle_Oabove', 'v_P____'
% 1.28/1.65 , 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), 'v_c____' ), 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ), 'v_e____' ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omkbot', 'v_P____', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 1.28/1.65 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ), 'v_e____' ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_d____',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'v_F'( 'v_P____' ) ) ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omktop', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , Z ) ) ), =( X, Y ), =( X, T ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omktop', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , Z ) ) ), =( Y, T ), =( X, T ) ],
% 1.28/1.65 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.28/1.65 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), X ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.28/1.65 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.28/1.65 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.28/1.65 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.28/1.65 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 1.28/1.65 , hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.28/1.65 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.28/1.65 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Y ) ) ) ],
% 1.28/1.65 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), X ) ) ) ],
% 1.28/1.65 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omktop', Y ), X ) ) ) ) ],
% 1.28/1.65 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omktop', Z ), X ) ) ) ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ), hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Oone__class_Oone'( X ) ) ) )
% 1.28/1.65 ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 1.28/1.65 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.28/1.65 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 1.28/1.65 Y, X ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.28/1.65 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Y ), X ) ), =(
% 1.28/1.65 Y, X ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omktop', Z ), T ) ) ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 1.28/1.65 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.28/1.65 ) ) ],
% 1.28/1.65 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), X )
% 1.28/1.65 ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_F'( hAPP( 'c_COMBC'( hAPP(
% 1.28/1.65 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'( 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ), hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_Oord__class_Oless'(
% 1.28/1.65 'tc_nat' ), 'v_h____', 'tc_nat', 'tc_fun'( 'tc_nat', 'tc_bool' ),
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 1.28/1.65 , 'tc_nat', 'tc_bool' ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat'
% 1.28/1.65 ), 'v_n____' ), 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), 'tc_bool',
% 1.28/1.65 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ),
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ =( X, Y ), =( Y, X ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omkbot', Z ), X ) ) ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.28/1.65 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), T ) ) ), ~(
% 1.28/1.65 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), Z ), Y ) ) ),
% 1.28/1.65 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), T ) ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ), hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), X ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ),
% 1.28/1.65 ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ), Y ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ), ~( hBOOL(
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), X ), Y ) ) ) ],
% 1.28/1.65 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omkbot', Y ), X ) ) ) ) ],
% 1.28/1.65 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omkbot', Z ), Y ) ) ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 1.28/1.65 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.65 X ), Y ), Z ) ), T ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.28/1.65 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ) ],
% 1.28/1.65 [ =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ) ), Z ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Y ), Z ) ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.65 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.65 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.65 X ), Y ), Z ) ), T ) ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.65 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.65 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omkbot', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , Z ) ) ), =( X, Y ), =( Y, T ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omkbot', Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , Z ) ) ), =( X, T ), =( Y, T ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 1.28/1.65 ],
% 1.28/1.65 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 1.28/1.65 ],
% 1.28/1.65 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.28/1.65 U ) ) ],
% 1.28/1.65 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.28/1.65 , W ) ) ) ],
% 1.28/1.65 [ =( X, Y ), =( X, Y ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omktop', Z ), Y ) ) ) ],
% 1.28/1.65 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.28/1.65 ) ],
% 1.28/1.65 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), Z ), Y ) ) ), =( X, Z
% 1.28/1.65 ) ],
% 1.28/1.65 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Y ),
% 1.28/1.65 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), X ), Z ) ) ), =( Y, Z
% 1.28/1.65 ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 1.28/1.65 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 1.28/1.65 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 1.28/1.65 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 1.28/1.65 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 1.28/1.65 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), =( X, T ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( X, Y,
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omkbot', Z ), T ) ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'(
% 1.28/1.65 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( 'c_COMBC'(
% 1.28/1.65 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'v_h____', 'tc_nat',
% 1.28/1.65 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), X ), 'tc_bool'
% 1.28/1.65 , 'tc_fun'( 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
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% 1.28/1.65 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_e____',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Oabove', hAPP( 'v_P____',
% 1.28/1.65 X ) ), 'v_c____' ), 'v_e____' ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_c____', 'v_e____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omktop', hAPP( 'v_P____', X ) ), 'v_e____' ) )
% 1.28/1.65 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP(
% 1.28/1.65 'v_h____', X ) ), 'v_n____' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_a____', 'v_b____',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'v_Lba____' ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 1.28/1.65 'tc_nat' ), hAPP( 'v_h____', X ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_n____' ),
% 1.28/1.65 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_Lba____' ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( 'v_h____', X ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_n____' ),
% 1.28/1.65 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_e____',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omkbot', hAPP( 'v_P____', X ) )
% 1.28/1.65 , 'v_e____' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_c____', 'v_e____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Oabove', hAPP( 'v_P____', X ) ), 'v_c____' ),
% 1.28/1.65 'v_e____' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_c____', 'v_e____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omktop', hAPP( 'v_P____', X ) ), 'v_e____' ) )
% 1.28/1.65 ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_Lab____' ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( 'v_h____', X ) ), hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_n____' ),
% 1.28/1.65 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_e____',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omkbot', hAPP( 'v_P____', X ) )
% 1.28/1.65 , 'v_e____' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_c____', 'v_e____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Oabove', hAPP( 'v_P____', X ) ), 'v_c____' ),
% 1.28/1.65 'v_e____' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_c____', 'v_e____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omktop', hAPP( 'v_P____', X ) ), 'v_e____' ) )
% 1.28/1.65 ) ) ],
% 1.28/1.65 [ ~( =( hAPP( 'v_h____', X ), 'v_n____' ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_e____',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Oabove', hAPP( 'v_P____',
% 1.28/1.65 X ) ), 'v_c____' ), 'v_e____' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_e____',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omktop', hAPP( 'v_P____', X ) )
% 1.28/1.65 , 'v_e____' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_Lba____' ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( 'v_h____', X ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_n____' ),
% 1.28/1.65 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ],
% 1.28/1.65 [ ~( =( hAPP( 'v_h____', X ), 'v_n____' ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_e____',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Oabove', hAPP( 'v_P____',
% 1.28/1.65 X ) ), 'v_c____' ), 'v_e____' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_e____',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omktop', hAPP( 'v_P____', X ) )
% 1.28/1.65 , 'v_e____' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_Lab____' ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( 'v_h____', X ) ), hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_n____' ),
% 1.28/1.65 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_Lba____' ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( 'v_h____', X ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_n____' ),
% 1.28/1.65 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_e____',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omkbot', hAPP( 'v_P____', X ) )
% 1.28/1.65 , 'v_e____' ) ) ) ), =( hAPP( 'v_h____', X ), 'v_n____' ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_e____',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omktop', hAPP( 'v_P____', X ) )
% 1.28/1.65 , 'v_e____' ) ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_Lab____' ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( 'v_h____', X ) ), hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_n____' ),
% 1.28/1.65 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_e____',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omkbot', hAPP( 'v_P____', X ) )
% 1.28/1.65 , 'v_e____' ) ) ) ), =( hAPP( 'v_h____', X ), 'v_n____' ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_e____',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omktop', hAPP( 'v_P____', X ) )
% 1.28/1.65 , 'v_e____' ) ) ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_Lba____' ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( 'v_h____', X ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_n____' ),
% 1.28/1.65 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( 'v_h____', X ) ), 'v_n____'
% 1.28/1.65 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_c____', 'v_e____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omktop', hAPP( 'v_P____', X ) ), 'v_e____' ) )
% 1.28/1.65 ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_Lab____' ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( 'v_h____', X ) ), hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_n____' ),
% 1.28/1.65 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( 'v_h____', X ) ), 'v_n____'
% 1.28/1.65 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_c____', 'v_e____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omktop', hAPP( 'v_P____', X ) ), 'v_e____' ) )
% 1.28/1.65 ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_Lba____' ) ), hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( 'v_h____', X ) ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_n____' ),
% 1.28/1.65 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_e____',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omkbot', hAPP( 'v_P____', X ) )
% 1.28/1.65 , 'v_e____' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_c____', 'v_e____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Oabove', hAPP( 'v_P____', X ) ), 'v_c____' ),
% 1.28/1.65 'v_e____' ) ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat'
% 1.28/1.65 ), hAPP( 'v_h____', X ) ), 'v_n____' ) ) ],
% 1.28/1.65 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_a____', 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_Lab____' ) ), ~( hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), hAPP( 'v_h____', X ) ), hAPP(
% 1.28/1.65 hAPP( 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_n____' ),
% 1.28/1.65 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_e____',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , hAPP( hAPP( 'c_Arrow__Order__Mirabelle_Omkbot', hAPP( 'v_P____', X ) )
% 1.28/1.65 , 'v_e____' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'c_Pair'( 'v_c____', 'v_e____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), hAPP( hAPP( hAPP(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Oabove', hAPP( 'v_P____', X ) ), 'v_c____' ),
% 1.28/1.65 'v_e____' ) ) ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_nat'
% 1.28/1.65 ), hAPP( 'v_h____', X ) ), 'v_n____' ) ) ],
% 1.28/1.65 [ ~( =( hAPP( 'v_h____', X ), 'v_n____' ) ), ~( hBOOL( hAPP( hAPP(
% 1.28/1.65 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_c____', 'v_e____',
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% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), 'v_c____' ), 'tc_Arrow__Order__Mirabelle_Oindi',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ), 'v_e____' ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), hAPP( 'c_COMBC'( 'c_COMBB'(
% 1.28/1.65 'c_Arrow__Order__Mirabelle_Omkbot', 'v_P____', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ), 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ),
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi' ), 'tc_Arrow__Order__Mirabelle_Oindi'
% 1.28/1.65 , 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ), 'v_e____' ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ), 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ) ) ), hBOOL( hAPP(
% 1.28/1.65 hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_a____', 'v_b____',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 1.28/1.65 , 'v_F'( hAPP( 'c_COMBC'( hAPP( 'c_COMBC'( 'c_COMBB'( 'c_HOL_OIf'(
% 1.28/1.65 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), hAPP( 'c_COMBC'(
% 1.28/1.65 'c_COMBB'( 'c_HOL_Oord__class_Oless'( 'tc_nat' ), 'v_h____', 'tc_nat',
% 1.28/1.65 'tc_fun'( 'tc_nat', 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_nat', 'tc_bool' ), hAPP( hAPP(
% 1.28/1.65 'c_HOL_Oplus__class_Oplus'( 'tc_nat' ), 'v_n____' ),
% 1.28/1.65 'c_HOL_Oone__class_Oone'( 'tc_nat' ) ) ), 'tc_bool', 'tc_fun'( 'tc_fun'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_fun'(
% 1.28/1.65 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ) ) ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ), 'tc_fun'( 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ) ), 'v_Lab____' ),
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 1.28/1.65 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 1.28/1.65 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ) ), 'v_Lba____' ) ) ) ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_prod'( X, Y ) ), ~(
% 1.28/1.65 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.28/1.65 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.28/1.65 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 1.28/1.65 'class_Lattices_Olattice'( Y ) ) ],
% 1.28/1.65 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 1.28/1.65 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 1.28/1.65 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 1.28/1.65 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 1.28/1.65 'class_Orderings_Opreorder'( Y ) ) ],
% 1.28/1.65 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 1.28/1.65 'class_Lattices_Olattice'( Y ) ) ],
% 1.28/1.65 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 1.28/1.65 'class_Orderings_Oorder'( Y ) ) ],
% 1.28/1.65 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 1.28/1.65 ],
% 1.28/1.65 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 1.28/1.65 ) ],
% 1.28/1.65 [ 'class_Ring__and__Field_Oordered__comm__semiring__strict'( 'tc_nat' )
% 1.28/1.65 ],
% 1.28/1.65 [ 'class_Ring__and__Field_Opordered__cancel__semiring'( 'tc_nat' ) ]
% 1.28/1.65 ,
% 1.28/1.65 [ 'class_Ring__and__Field_Oordered__semiring__strict'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Ring__and__Field_Opordered__semiring'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Ring__and__Field_Oordered__semiring'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Ring__and__Field_Ono__zero__divisors'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_OrderedGroup_Oab__semigroup__mult'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_OrderedGroup_Ocomm__monoid__mult'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Ring__and__Field_Ocomm__semiring'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Ring__and__Field_Ozero__neq__one'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Ring__and__Field_Osemiring__0'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Ring__and__Field_Omult__mono1'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Ring__and__Field_Omult__zero'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Ring__and__Field_Omult__mono'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_OrderedGroup_Omonoid__mult'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Ring__and__Field_Osemiring'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Ring__and__Field_Odvd'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Power_Opower'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 1.28/1.65 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 1.28/1.65 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 1.28/1.65 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 1.28/1.65 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 1.28/1.65 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 1.28/1.65 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 1.28/1.65 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 1.28/1.65 , W ) ) ) ],
% 1.28/1.65 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 1.28/1.66 U ) ) ],
% 1.28/1.66 [ =( hAPP( 'c_COMBB'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) ) ) ]
% 1.28/1.66 ,
% 1.28/1.66 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 1.28/1.66 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 1.28/1.66 ] .
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 percentage equality = 0.189068, percentage horn = 0.805720
% 1.28/1.66 This is a problem with some equality
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66
% 1.28/1.66 Options Used:
% 1.28/1.66
% 1.28/1.66 useres = 1
% 1.28/1.66 useparamod = 1
% 1.28/1.66 useeqrefl = 1
% 1.28/1.66 useeqfact = 1
% 1.28/1.66 usefactor = 1
% 1.28/1.66 usesimpsplitting = 0
% 1.28/1.66 usesimpdemod = 5
% 1.28/1.66 usesimpres = 3
% 1.28/1.66
% 1.28/1.66 resimpinuse = 1000
% 1.28/1.66 resimpclauses = 20000
% 1.28/1.66 substype = eqrewr
% 1.28/1.66 backwardsubs = 1
% 1.28/1.66 selectoldest = 5
% 1.28/1.66
% 1.28/1.66 litorderings [0] = split
% 1.28/1.66 litorderings [1] = extend the termordering, first sorting on arguments
% 1.28/1.66
% 1.28/1.66 termordering = kbo
% 1.28/1.66
% 1.28/1.66 litapriori = 0
% 1.28/1.66 termapriori = 1
% 1.28/1.66 litaposteriori = 0
% 1.28/1.66 termaposteriori = 0
% 1.28/1.66 demodaposteriori = 0
% 1.28/1.66 ordereqreflfact = 0
% 1.28/1.66
% 1.28/1.66 litselect = negord
% 1.28/1.66
% 1.28/1.66 maxweight = 15
% 1.28/1.66 maxdepth = 30000
% 1.28/1.66 maxlength = 115
% 1.28/1.66 maxnrvars = 195
% 1.28/1.66 excuselevel = 1
% 1.28/1.66 increasemaxweight = 1
% 1.28/1.66
% 1.28/1.66 maxselected = 10000000
% 1.28/1.66 maxnrclauses = 10000000
% 1.28/1.66
% 1.28/1.66 showgenerated = 0
% 1.28/1.66 showkept = 0
% 1.28/1.66 showselected = 0
% 1.28/1.66 showdeleted = 0
% 1.28/1.66 showresimp = 1
% 1.28/1.66 showstatus = 2000
% 1.28/1.66
% 1.28/1.66 prologoutput = 1
% 1.28/1.66 nrgoals = 5000000
% 1.28/1.66 totalproof = 1
% 1.28/1.66
% 1.28/1.66 Symbols occurring in the translation:
% 1.28/1.66
% 1.28/1.66 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.28/1.66 . [1, 2] (w:1, o:169, a:1, s:1, b:0),
% 1.28/1.66 ! [4, 1] (w:0, o:84, a:1, s:1, b:0),
% 1.28/1.66 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.28/1.66 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.28/1.66 'class_Ring__and__Field_Oordered__idom' [40, 1] (w:1, o:94, a:1, s:1
% 1.28/1.66 , b:0),
% 1.28/1.66 'c_HOL_Oord__class_Oless' [41, 1] (w:1, o:95, a:1, s:1, b:0),
% 1.28/1.66 'c_HOL_Otimes__class_Otimes' [42, 1] (w:1, o:96, a:1, s:1, b:0),
% 1.28/1.66 'c_HOL_Oabs__class_Oabs' [43, 1] (w:1, o:97, a:1, s:1, b:0),
% 1.28/1.66 hAPP [45, 2] (w:1, o:194, a:1, s:1, b:0),
% 1.28/1.66 hBOOL [49, 1] (w:1, o:98, a:1, s:1, b:0),
% 1.28/1.66 'c_Finite__Set_Ofinite' [52, 2] (w:1, o:195, a:1, s:1, b:0),
% 1.28/1.66 'c_Set_Oimage' [55, 4] (w:1, o:212, a:1, s:1, b:0),
% 1.28/1.66 'tc_bool' [56, 0] (w:1, o:22, a:1, s:1, b:0),
% 1.28/1.66 'tc_fun' [57, 2] (w:1, o:196, a:1, s:1, b:0),
% 1.28/1.66 'c_lessequals' [58, 3] (w:1, o:203, a:1, s:1, b:0),
% 1.28/1.66 'c_in' [59, 1] (w:1, o:99, a:1, s:1, b:0),
% 1.28/1.66 'class_Ring__and__Field_Oordered__field' [61, 1] (w:1, o:100, a:1, s:
% 1.28/1.66 1, b:0),
% 1.28/1.66 'class_Ring__and__Field_Odivision__by__zero' [62, 1] (w:1, o:105, a:1
% 1.28/1.66 , s:1, b:0),
% 1.28/1.66 'c_HOL_Ozero__class_Ozero' [63, 1] (w:1, o:106, a:1, s:1, b:0),
% 1.28/1.66 'c_HOL_Oinverse__class_Oinverse' [64, 2] (w:1, o:197, a:1, s:1, b:0)
% 1.28/1.66 ,
% 1.28/1.66 'class_Ring__and__Field_Odivision__ring' [65, 1] (w:1, o:107, a:1, s:
% 1.28/1.66 1, b:0),
% 1.28/1.66 'class_OrderedGroup_Omonoid__mult' [66, 1] (w:1, o:111, a:1, s:1, b:0
% 1.28/1.66 ),
% 1.28/1.66 'c_Power_Opower__class_Opower' [67, 1] (w:1, o:112, a:1, s:1, b:0),
% 1.28/1.66 'c_Suc' [69, 1] (w:1, o:113, a:1, s:1, b:0),
% 1.28/1.66 'class_Power_Opower' [70, 1] (w:1, o:133, a:1, s:1, b:0),
% 1.28/1.66 'class_Ring__and__Field_Ocomm__semiring__1' [71, 1] (w:1, o:103, a:1
% 1.28/1.66 , s:1, b:0),
% 1.28/1.66 'class_OrderedGroup_Ocomm__monoid__add' [73, 1] (w:1, o:114, a:1, s:1
% 1.28/1.66 , b:0),
% 1.28/1.66 'c_HOL_Oplus__class_Oplus' [74, 1] (w:1, o:135, a:1, s:1, b:0),
% 1.28/1.66 'c_Power_Opower_Opower' [75, 3] (w:1, o:204, a:1, s:1, b:0),
% 1.28/1.66 'tc_nat' [77, 0] (w:1, o:39, a:1, s:1, b:0),
% 1.28/1.66 'c_HOL_Ominus__class_Ominus' [78, 1] (w:1, o:136, a:1, s:1, b:0),
% 1.28/1.66 'class_OrderedGroup_Opordered__ab__group__add__abs' [81, 1] (w:1, o:
% 1.28/1.66 115, a:1, s:1, b:0),
% 1.28/1.66 'class_Ring__and__Field_Oring__1' [82, 1] (w:1, o:137, a:1, s:1, b:0)
% 1.28/1.66 ,
% 1.28/1.66 'c_Int_Oring__1__class_OInts' [83, 1] (w:1, o:140, a:1, s:1, b:0),
% 1.28/1.66 'class_Ring__and__Field_Ozero__neq__one' [84, 1] (w:1, o:141, a:1, s:
% 1.28/1.66 1, b:0),
% 1.28/1.66 'class_Ring__and__Field_Ono__zero__divisors' [85, 1] (w:1, o:93, a:1
% 1.28/1.66 , s:1, b:0),
% 1.28/1.66 'class_Ring__and__Field_Omult__zero' [86, 1] (w:1, o:90, a:1, s:1, b:
% 1.28/1.66 0),
% 1.28/1.66 'c_Set_Oinsert' [87, 3] (w:1, o:206, a:1, s:1, b:0),
% 1.28/1.66 'c_HOL_Oinverse__class_Odivide' [88, 1] (w:1, o:138, a:1, s:1, b:0),
% 1.28/1.66
% 1.28/1.66 'c_Finite__Set_Ocard' [89, 2] (w:1, o:198, a:1, s:1, b:0),
% 1.28/1.66 'c_COMBK' [91, 3] (w:1, o:207, a:1, s:1, b:0),
% 1.28/1.66 'class_HOL_Oord' [93, 1] (w:1, o:142, a:1, s:1, b:0),
% 1.28/1.66 'class_Ring__and__Field_Ofield' [95, 1] (w:1, o:143, a:1, s:1, b:0),
% 1.28/1.66
% 1.28/1.66 'c_HOL_Oone__class_Oone' [96, 1] (w:1, o:134, a:1, s:1, b:0),
% 1.28/1.66 'class_OrderedGroup_Oab__group__add' [99, 1] (w:1, o:116, a:1, s:1
% 1.28/1.66 , b:0),
% 1.28/1.66 'c_Lattices_Olower__semilattice__class_Oinf' [103, 3] (w:1, o:208, a:
% 1.28/1.66 1, s:1, b:0),
% 1.28/1.66 'class_Lattices_Olower__semilattice' [104, 1] (w:1, o:144, a:1, s:1
% 1.28/1.66 , b:0),
% 1.28/1.66 'c_Ring__and__Field_Odvd__class_Odvd' [105, 3] (w:1, o:205, a:1, s:1
% 1.28/1.66 , b:0),
% 1.28/1.66 'class_Ring__and__Field_Odvd' [106, 1] (w:1, o:145, a:1, s:1, b:0),
% 1.28/1.66 'class_Ring__and__Field_Oring' [108, 1] (w:1, o:146, a:1, s:1, b:0),
% 1.28/1.66
% 1.28/1.66 'class_Ring__and__Field_Oidom' [110, 1] (w:1, o:147, a:1, s:1, b:0),
% 1.28/1.66
% 1.28/1.66 'class_Int_Onumber__ring' [111, 1] (w:1, o:148, a:1, s:1, b:0),
% 1.28/1.66 'class_Ring__and__Field_Osemiring__0' [112, 1] (w:1, o:151, a:1, s:1
% 1.28/1.66 , b:0),
% 1.28/1.66 'class_Ring__and__Field_Olordered__ring' [113, 1] (w:1, o:89, a:1, s:
% 1.28/1.66 1, b:0),
% 1.28/1.66 'c_Finite__Set_Osetsum' [115, 2] (w:1, o:199, a:1, s:1, b:0),
% 1.28/1.66 'class_Ring__and__Field_Opordered__ring' [116, 1] (w:1, o:157, a:1
% 1.28/1.66 , s:1, b:0),
% 1.28/1.66 'class_OrderedGroup_Ogroup__add' [120, 1] (w:1, o:117, a:1, s:1, b:0)
% 1.28/1.66 ,
% 1.28/1.66 'class_Ring__and__Field_Ocomm__ring__1' [121, 1] (w:1, o:101, a:1, s:
% 1.28/1.66 1, b:0),
% 1.28/1.66 'class_OrderedGroup_Ocomm__monoid__mult' [122, 1] (w:1, o:118, a:1
% 1.28/1.66 , s:1, b:0),
% 1.28/1.66 'c_Finite__Set_Osetprod' [123, 4] (w:1, o:213, a:1, s:1, b:0),
% 1.28/1.66 'class_Ring__and__Field_Oring__no__zero__divisors' [125, 1] (w:1, o:
% 1.28/1.66 149, a:1, s:1, b:0),
% 1.28/1.66 'class_Ring__and__Field_Oordered__semiring__strict' [126, 1] (w:1, o:
% 1.28/1.66 153, a:1, s:1, b:0),
% 1.28/1.66 'class_Ring__and__Field_Oordered__ring__strict' [127, 1] (w:1, o:152
% 1.28/1.66 , a:1, s:1, b:0),
% 1.28/1.66 'class_Lattices_Olattice' [128, 1] (w:1, o:158, a:1, s:1, b:0),
% 5.92/6.28 'class_Ring__and__Field_Opordered__cancel__semiring' [130, 1] (w:1
% 5.92/6.28 , o:159, a:1, s:1, b:0),
% 5.92/6.28 'c_Finite__Set_Ofold__image' [131, 6] (w:1, o:226, a:1, s:1, b:0),
% 5.92/6.28 'class_Ring__and__Field_Oordered__comm__semiring__strict' [132, 1]
% 5.92/6.28 (w:1, o:154, a:1, s:1, b:0),
% 5.92/6.28 'c_COMBC' [140, 4] (w:1, o:214, a:1, s:1, b:0),
% 5.92/6.28 'class_OrderedGroup_Opordered__ab__group__add' [141, 1] (w:1, o:119
% 5.92/6.28 , a:1, s:1, b:0),
% 5.92/6.28 'class_Ring__and__Field_Opordered__ring__abs' [144, 1] (w:1, o:160
% 5.92/6.28 , a:1, s:1, b:0),
% 5.92/6.28 'class_OrderedGroup_Oab__semigroup__idem__mult' [145, 1] (w:1, o:120
% 5.92/6.28 , a:1, s:1, b:0),
% 5.92/6.28 'class_Ring__and__Field_Opordered__semiring' [146, 1] (w:1, o:161, a:
% 5.92/6.28 1, s:1, b:0),
% 5.92/6.28 'c_COMBB' [151, 5] (w:1, o:223, a:1, s:1, b:0),
% 5.92/6.28 'class_Ring__and__Field_Ocomm__semiring' [152, 1] (w:1, o:104, a:1
% 5.92/6.28 , s:1, b:0),
% 5.92/6.28 'class_OrderedGroup_Olordered__ab__group__add__meet' [153, 1] (w:1
% 5.92/6.28 , o:108, a:1, s:1, b:0),
% 5.92/6.28 'class_OrderedGroup_Olordered__ab__group__add' [154, 1] (w:1, o:109
% 5.92/6.28 , a:1, s:1, b:0),
% 5.92/6.28 'class_Ring__and__Field_Osemiring' [155, 1] (w:1, o:162, a:1, s:1, b:
% 5.92/6.28 0),
% 5.92/6.28 'class_Orderings_Olinorder' [156, 1] (w:1, o:121, a:1, s:1, b:0),
% 5.92/6.28 'class_OrderedGroup_Olordered__ab__group__add__abs' [157, 1] (w:1, o:
% 5.92/6.28 110, a:1, s:1, b:0),
% 5.92/6.28 'class_Ring__and__Field_Oabs__if' [158, 1] (w:1, o:163, a:1, s:1, b:0
% 5.92/6.28 ),
% 5.92/6.28 'class_Ring__and__Field_Omult__mono' [159, 1] (w:1, o:91, a:1, s:1
% 5.92/6.28 , b:0),
% 5.92/6.28 'class_Ring__and__Field_Omult__mono1' [160, 1] (w:1, o:92, a:1, s:1
% 5.92/6.28 , b:0),
% 5.92/6.28 'class_OrderedGroup_Oab__semigroup__mult' [163, 1] (w:1, o:122, a:1
% 5.92/6.28 , s:1, b:0),
% 5.92/6.28 'class_Ring__and__Field_Oordered__semiring' [164, 1] (w:1, o:155, a:1
% 5.92/6.28 , s:1, b:0),
% 5.92/6.28 'class_Int_Oring__char__0' [165, 1] (w:1, o:164, a:1, s:1, b:0),
% 5.92/6.28 'class_OrderedGroup_Opordered__ab__semigroup__add' [166, 1] (w:1, o:
% 5.92/6.28 123, a:1, s:1, b:0),
% 5.92/6.28 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__nonpos__1__1' [167, 4] (w:
% 5.92/6.28 1, o:215, a:1, s:1, b:0),
% 5.92/6.28 'c_ATP__Linkup_Osko__Finite__Set__Xsetsum__nonneg__1__1' [168, 4] (w:
% 5.92/6.28 1, o:216, a:1, s:1, b:0),
% 5.92/6.28 'class_Ring__and__Field_Oordered__semidom' [169, 1] (w:1, o:156, a:1
% 5.92/6.28 , s:1, b:0),
% 5.92/6.28 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__nonneg__1__1' [170, 4]
% 5.92/6.28 (w:1, o:217, a:1, s:1, b:0),
% 5.92/6.28 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__pos__1__1' [171, 4] (w:1
% 5.92/6.28 , o:218, a:1, s:1, b:0),
% 5.92/6.28 'class_Ring__and__Field_Ocomm__ring' [172, 1] (w:1, o:102, a:1, s:1
% 5.92/6.28 , b:0),
% 5.92/6.28 'c_COMBS' [173, 5] (w:1, o:224, a:1, s:1, b:0),
% 5.92/6.28 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__1_H__1__1' [174, 4] (w:1
% 5.92/6.28 , o:219, a:1, s:1, b:0),
% 5.92/6.28 'c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1' [176, 4
% 5.92/6.28 ] (w:1, o:220, a:1, s:1, b:0),
% 5.92/6.28 'c_HOL_OIf' [177, 1] (w:1, o:139, a:1, s:1, b:0),
% 5.92/6.28 'tc_Arrow__Order__Mirabelle_Oalt' [178, 0] (w:1, o:61, a:1, s:1, b:0)
% 5.92/6.28 ,
% 5.92/6.28 'tc_prod' [179, 2] (w:1, o:200, a:1, s:1, b:0),
% 5.92/6.28 'c_Pair' [182, 4] (w:1, o:221, a:1, s:1, b:0),
% 5.92/6.28 'v_F' [184, 1] (w:1, o:165, a:1, s:1, b:0),
% 5.92/6.28 'v_sko__local__X1__1' [185, 6] (w:1, o:227, a:1, s:1, b:0),
% 5.92/6.28 'tc_Arrow__Order__Mirabelle_Oindi' [186, 0] (w:1, o:62, a:1, s:1, b:0
% 5.92/6.28 ),
% 5.92/6.28 'c_Arrow__Order__Mirabelle_OProf' [187, 0] (w:1, o:63, a:1, s:1, b:0)
% 5.92/6.28 ,
% 5.92/6.28 'c_fequal' [188, 1] (w:1, o:166, a:1, s:1, b:0),
% 5.92/6.28 'v_sko__local__X2__1' [189, 6] (w:1, o:228, a:1, s:1, b:0),
% 5.92/6.28 'class_OrderedGroup_Opordered__comm__monoid__add' [191, 1] (w:1, o:
% 5.92/6.28 124, a:1, s:1, b:0),
% 5.92/6.28 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [192, 1]
% 5.92/6.28 (w:1, o:125, a:1, s:1, b:0),
% 5.92/6.28 'class_Ring__and__Field_Oring__1__no__zero__divisors' [193, 1] (w:1
% 5.92/6.28 , o:150, a:1, s:1, b:0),
% 5.92/6.28 'class_OrderedGroup_Omonoid__add' [194, 1] (w:1, o:126, a:1, s:1, b:0
% 5.92/6.28 ),
% 5.92/6.28 'v_sko__local__Xpairwise__neutrality__1' [195, 6] (w:1, o:229, a:1
% 5.92/6.28 , s:1, b:0),
% 5.92/6.28 'v_sko__local__X3__1' [196, 4] (w:1, o:222, a:1, s:1, b:0),
% 5.92/6.28 'v_sko__local__X4__1' [197, 5] (w:1, o:225, a:1, s:1, b:0),
% 5.92/6.28 'c_List_Oall__from__to__nat' [198, 3] (w:1, o:209, a:1, s:1, b:0),
% 32.10/32.52 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [199, 1]
% 32.10/32.52 (w:1, o:127, a:1, s:1, b:0),
% 32.10/32.52 'c_Wellfounded_Omlex__prod' [200, 3] (w:1, o:210, a:1, s:1, b:0),
% 32.10/32.52 'class_Orderings_Opreorder' [201, 1] (w:1, o:129, a:1, s:1, b:0),
% 32.10/32.52 'class_Orderings_Oorder' [202, 1] (w:1, o:128, a:1, s:1, b:0),
% 32.10/32.52 'class_Finite__Set_Ofinite_Ofinite' [203, 1] (w:1, o:167, a:1, s:1
% 32.10/32.52 , b:0),
% 32.10/32.52 'c_Wellfounded_Omeasure' [204, 2] (w:1, o:201, a:1, s:1, b:0),
% 32.10/32.52 'v_h____' [205, 0] (w:1, o:65, a:1, s:1, b:0),
% 32.10/32.52 'v_Lab____' [206, 0] (w:1, o:66, a:1, s:1, b:0),
% 32.10/32.52 'v_Lba____' [207, 0] (w:1, o:67, a:1, s:1, b:0),
% 32.10/32.52 'v_b____' [208, 0] (w:1, o:69, a:1, s:1, b:0),
% 32.10/32.52 'v_a____' [209, 0] (w:1, o:68, a:1, s:1, b:0),
% 32.10/32.52 'v_n____' [210, 0] (w:1, o:70, a:1, s:1, b:0),
% 32.10/32.52 'v_c____' [211, 0] (w:1, o:71, a:1, s:1, b:0),
% 32.10/32.52 'v_d____' [212, 0] (w:1, o:72, a:1, s:1, b:0),
% 32.10/32.52 'v_P____' [213, 0] (w:1, o:73, a:1, s:1, b:0),
% 32.10/32.52 'c_Arrow__Order__Mirabelle_Omktop' [214, 0] (w:1, o:74, a:1, s:1, b:0
% 32.10/32.52 ),
% 32.10/32.52 'v_e____' [215, 0] (w:1, o:75, a:1, s:1, b:0),
% 32.10/32.52 'c_Arrow__Order__Mirabelle_Oabove' [216, 0] (w:1, o:76, a:1, s:1, b:0
% 32.10/32.52 ),
% 32.10/32.52 'c_Arrow__Order__Mirabelle_Omkbot' [217, 0] (w:1, o:77, a:1, s:1, b:0
% 32.10/32.52 ),
% 32.10/32.52 'class_OrderedGroup_Oab__semigroup__add' [219, 1] (w:1, o:130, a:1
% 32.10/32.52 , s:1, b:0),
% 32.10/32.52 'class_OrderedGroup_Ocancel__ab__semigroup__add' [221, 1] (w:1, o:131
% 32.10/32.52 , a:1, s:1, b:0),
% 32.10/32.52 'class_OrderedGroup_Ocancel__semigroup__add' [222, 1] (w:1, o:132, a:
% 32.10/32.52 1, s:1, b:0),
% 32.10/32.52 'c_List_Olist_ONil' [223, 1] (w:1, o:168, a:1, s:1, b:0),
% 32.10/32.52 'c_List_Olist_OCons' [224, 3] (w:1, o:211, a:1, s:1, b:0),
% 32.10/32.52 'c_List_Odistinct' [225, 2] (w:1, o:202, a:1, s:1, b:0).
% 32.10/32.52
% 32.10/32.52
% 32.10/32.52 Starting Search:
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52
% 32.10/32.52 Intermediate Status:
% 32.10/32.52 Generated: 7203
% 32.10/32.52 Kept: 2174
% 32.10/32.52 Inuse: 127
% 32.10/32.52 Deleted: 4
% 32.10/32.52 Deletedinuse: 0
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52
% 32.10/32.52 Intermediate Status:
% 32.10/32.52 Generated: 15820
% 32.10/32.52 Kept: 4177
% 32.10/32.52 Inuse: 231
% 32.10/32.52 Deleted: 10
% 32.10/32.52 Deletedinuse: 0
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52
% 32.10/32.52 Intermediate Status:
% 32.10/32.52 Generated: 21319
% 32.10/32.52 Kept: 6196
% 32.10/32.52 Inuse: 317
% 32.10/32.52 Deleted: 14
% 32.10/32.52 Deletedinuse: 0
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52
% 32.10/32.52 Intermediate Status:
% 32.10/32.52 Generated: 26010
% 32.10/32.52 Kept: 8264
% 32.10/32.52 Inuse: 348
% 32.10/32.52 Deleted: 14
% 32.10/32.52 Deletedinuse: 0
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52
% 32.10/32.52 Intermediate Status:
% 32.10/32.52 Generated: 32235
% 32.10/32.52 Kept: 10413
% 32.10/32.52 Inuse: 377
% 32.10/32.52 Deleted: 14
% 32.10/32.52 Deletedinuse: 0
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52
% 32.10/32.52 Intermediate Status:
% 32.10/32.52 Generated: 39328
% 32.10/32.52 Kept: 12436
% 32.10/32.52 Inuse: 418
% 32.10/32.52 Deleted: 14
% 32.10/32.52 Deletedinuse: 0
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52
% 32.10/32.52 Intermediate Status:
% 32.10/32.52 Generated: 46294
% 32.10/32.52 Kept: 14651
% 32.10/32.52 Inuse: 437
% 32.10/32.52 Deleted: 14
% 32.10/32.52 Deletedinuse: 0
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52
% 32.10/32.52 Intermediate Status:
% 32.10/32.52 Generated: 55383
% 32.10/32.52 Kept: 16810
% 32.10/32.52 Inuse: 496
% 32.10/32.52 Deleted: 16
% 32.10/32.52 Deletedinuse: 1
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52
% 32.10/32.52 Intermediate Status:
% 32.10/32.52 Generated: 63247
% 32.10/32.52 Kept: 18886
% 32.10/32.52 Inuse: 570
% 32.10/32.52 Deleted: 17
% 32.10/32.52 Deletedinuse: 1
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52 Resimplifying clauses:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52
% 32.10/32.52 Intermediate Status:
% 32.10/32.52 Generated: 77914
% 32.10/32.52 Kept: 22313
% 32.10/32.52 Inuse: 615
% 32.10/32.52 Deleted: 286
% 32.10/32.52 Deletedinuse: 1
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52
% 32.10/32.52 Intermediate Status:
% 32.10/32.52 Generated: 88572
% 32.10/32.52 Kept: 24313
% 32.10/32.52 Inuse: 634
% 32.10/32.52 Deleted: 286
% 32.10/32.52 Deletedinuse: 1
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52
% 32.10/32.52 Intermediate Status:
% 32.10/32.52 Generated: 111982
% 32.10/32.52 Kept: 26505
% 32.10/32.52 Inuse: 700
% 32.10/32.52 Deleted: 286
% 32.10/32.52 Deletedinuse: 1
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52
% 32.10/32.52 Intermediate Status:
% 32.10/32.52 Generated: 125433
% 32.10/32.52 Kept: 29879
% 32.10/32.52 Inuse: 730
% 32.10/32.52 Deleted: 288
% 32.10/32.52 Deletedinuse: 3
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 32.10/32.52 Done
% 32.10/32.52
% 32.10/32.52
% 32.10/32.52 Intermediate Status:
% 32.10/32.52 Generated: 143301
% 32.10/32.52 Kept: 33788
% 32.10/32.52 Inuse: 740
% 32.10/32.52 Deleted: 288
% 32.10/32.52 Deletedinuse: 3
% 32.10/32.52
% 32.10/32.52 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 153526
% 85.51/85.89 Kept: 35816
% 85.51/85.89 Inuse: 744
% 85.51/85.89 Deleted: 290
% 85.51/85.89 Deletedinuse: 4
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 169378
% 85.51/85.89 Kept: 38710
% 85.51/85.89 Inuse: 764
% 85.51/85.89 Deleted: 299
% 85.51/85.89 Deletedinuse: 6
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 184949
% 85.51/85.89 Kept: 41056
% 85.51/85.89 Inuse: 772
% 85.51/85.89 Deleted: 299
% 85.51/85.89 Deletedinuse: 6
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying clauses:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 198796
% 85.51/85.89 Kept: 43160
% 85.51/85.89 Inuse: 817
% 85.51/85.89 Deleted: 431
% 85.51/85.89 Deletedinuse: 6
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 212835
% 85.51/85.89 Kept: 45218
% 85.51/85.89 Inuse: 837
% 85.51/85.89 Deleted: 431
% 85.51/85.89 Deletedinuse: 6
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 223372
% 85.51/85.89 Kept: 47400
% 85.51/85.89 Inuse: 854
% 85.51/85.89 Deleted: 431
% 85.51/85.89 Deletedinuse: 6
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 230662
% 85.51/85.89 Kept: 50192
% 85.51/85.89 Inuse: 858
% 85.51/85.89 Deleted: 431
% 85.51/85.89 Deletedinuse: 6
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 243465
% 85.51/85.89 Kept: 52193
% 85.51/85.89 Inuse: 896
% 85.51/85.89 Deleted: 431
% 85.51/85.89 Deletedinuse: 6
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 280606
% 85.51/85.89 Kept: 55074
% 85.51/85.89 Inuse: 937
% 85.51/85.89 Deleted: 431
% 85.51/85.89 Deletedinuse: 6
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 306394
% 85.51/85.89 Kept: 58425
% 85.51/85.89 Inuse: 967
% 85.51/85.89 Deleted: 432
% 85.51/85.89 Deletedinuse: 7
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 321145
% 85.51/85.89 Kept: 61139
% 85.51/85.89 Inuse: 973
% 85.51/85.89 Deleted: 432
% 85.51/85.89 Deletedinuse: 7
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying clauses:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 344587
% 85.51/85.89 Kept: 64107
% 85.51/85.89 Inuse: 977
% 85.51/85.89 Deleted: 747
% 85.51/85.89 Deletedinuse: 7
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 356942
% 85.51/85.89 Kept: 66199
% 85.51/85.89 Inuse: 997
% 85.51/85.89 Deleted: 747
% 85.51/85.89 Deletedinuse: 7
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 368164
% 85.51/85.89 Kept: 68626
% 85.51/85.89 Inuse: 1007
% 85.51/85.89 Deleted: 747
% 85.51/85.89 Deletedinuse: 7
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 380452
% 85.51/85.89 Kept: 71094
% 85.51/85.89 Inuse: 1027
% 85.51/85.89 Deleted: 748
% 85.51/85.89 Deletedinuse: 8
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 392953
% 85.51/85.89 Kept: 73604
% 85.51/85.89 Inuse: 1047
% 85.51/85.89 Deleted: 748
% 85.51/85.89 Deletedinuse: 8
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 410845
% 85.51/85.89 Kept: 76907
% 85.51/85.89 Inuse: 1067
% 85.51/85.89 Deleted: 748
% 85.51/85.89 Deletedinuse: 8
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 416452
% 85.51/85.89 Kept: 79105
% 85.51/85.89 Inuse: 1078
% 85.51/85.89 Deleted: 748
% 85.51/85.89 Deletedinuse: 8
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 450751
% 85.51/85.89 Kept: 84501
% 85.51/85.89 Inuse: 1087
% 85.51/85.89 Deleted: 748
% 85.51/85.89 Deletedinuse: 8
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying clauses:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 463399
% 85.51/85.89 Kept: 86616
% 85.51/85.89 Inuse: 1097
% 85.51/85.89 Deleted: 962
% 85.51/85.89 Deletedinuse: 9
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 484475
% 85.51/85.89 Kept: 89869
% 85.51/85.89 Inuse: 1132
% 85.51/85.89 Deleted: 962
% 85.51/85.89 Deletedinuse: 9
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 495630
% 85.51/85.89 Kept: 92200
% 85.51/85.89 Inuse: 1142
% 85.51/85.89 Deleted: 962
% 85.51/85.89 Deletedinuse: 9
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 505131
% 85.51/85.89 Kept: 94269
% 85.51/85.89 Inuse: 1172
% 85.51/85.89 Deleted: 962
% 85.51/85.89 Deletedinuse: 9
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 518406
% 85.51/85.89 Kept: 97092
% 85.51/85.89 Inuse: 1182
% 85.51/85.89 Deleted: 962
% 85.51/85.89 Deletedinuse: 9
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89 Resimplifying inuse:
% 85.51/85.89 Done
% 85.51/85.89
% 85.51/85.89
% 85.51/85.89 Intermediate Status:
% 85.51/85.89 Generated: 525989
% 85.51/85.89 Kept: 99104
% 173.19/173.68 Inuse: 1199
% 173.19/173.68 Deleted: 962
% 173.19/173.68 Deletedinuse: 9
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 547373
% 173.19/173.68 Kept: 102583
% 173.19/173.68 Inuse: 1212
% 173.19/173.68 Deleted: 962
% 173.19/173.68 Deletedinuse: 9
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 564194
% 173.19/173.68 Kept: 104662
% 173.19/173.68 Inuse: 1217
% 173.19/173.68 Deleted: 962
% 173.19/173.68 Deletedinuse: 9
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying clauses:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 571982
% 173.19/173.68 Kept: 106980
% 173.19/173.68 Inuse: 1232
% 173.19/173.68 Deleted: 1287
% 173.19/173.68 Deletedinuse: 9
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 584343
% 173.19/173.68 Kept: 109045
% 173.19/173.68 Inuse: 1265
% 173.19/173.68 Deleted: 1288
% 173.19/173.68 Deletedinuse: 10
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 595899
% 173.19/173.68 Kept: 111348
% 173.19/173.68 Inuse: 1282
% 173.19/173.68 Deleted: 1288
% 173.19/173.68 Deletedinuse: 10
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 605047
% 173.19/173.68 Kept: 113359
% 173.19/173.68 Inuse: 1302
% 173.19/173.68 Deleted: 1288
% 173.19/173.68 Deletedinuse: 10
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 615291
% 173.19/173.68 Kept: 115360
% 173.19/173.68 Inuse: 1316
% 173.19/173.68 Deleted: 1288
% 173.19/173.68 Deletedinuse: 10
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 625082
% 173.19/173.68 Kept: 117450
% 173.19/173.68 Inuse: 1329
% 173.19/173.68 Deleted: 1288
% 173.19/173.68 Deletedinuse: 10
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 634525
% 173.19/173.68 Kept: 119493
% 173.19/173.68 Inuse: 1339
% 173.19/173.68 Deleted: 1290
% 173.19/173.68 Deletedinuse: 12
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 643298
% 173.19/173.68 Kept: 121554
% 173.19/173.68 Inuse: 1349
% 173.19/173.68 Deleted: 1290
% 173.19/173.68 Deletedinuse: 12
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 653356
% 173.19/173.68 Kept: 124190
% 173.19/173.68 Inuse: 1352
% 173.19/173.68 Deleted: 1290
% 173.19/173.68 Deletedinuse: 12
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying clauses:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 676084
% 173.19/173.68 Kept: 127631
% 173.19/173.68 Inuse: 1372
% 173.19/173.68 Deleted: 5181
% 173.19/173.68 Deletedinuse: 12
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 688494
% 173.19/173.68 Kept: 129707
% 173.19/173.68 Inuse: 1377
% 173.19/173.68 Deleted: 5181
% 173.19/173.68 Deletedinuse: 12
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 703589
% 173.19/173.68 Kept: 132028
% 173.19/173.68 Inuse: 1407
% 173.19/173.68 Deleted: 5181
% 173.19/173.68 Deletedinuse: 12
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 716827
% 173.19/173.68 Kept: 134769
% 173.19/173.68 Inuse: 1422
% 173.19/173.68 Deleted: 5181
% 173.19/173.68 Deletedinuse: 12
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 725999
% 173.19/173.68 Kept: 136895
% 173.19/173.68 Inuse: 1434
% 173.19/173.68 Deleted: 5181
% 173.19/173.68 Deletedinuse: 12
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 743988
% 173.19/173.68 Kept: 139073
% 173.19/173.68 Inuse: 1447
% 173.19/173.68 Deleted: 5181
% 173.19/173.68 Deletedinuse: 12
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 756708
% 173.19/173.68 Kept: 141389
% 173.19/173.68 Inuse: 1452
% 173.19/173.68 Deleted: 5181
% 173.19/173.68 Deletedinuse: 12
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 769390
% 173.19/173.68 Kept: 143706
% 173.19/173.68 Inuse: 1457
% 173.19/173.68 Deleted: 5181
% 173.19/173.68 Deletedinuse: 12
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 782067
% 173.19/173.68 Kept: 146024
% 173.19/173.68 Inuse: 1462
% 173.19/173.68 Deleted: 5181
% 173.19/173.68 Deletedinuse: 12
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying clauses:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 828676
% 173.19/173.68 Kept: 151791
% 173.19/173.68 Inuse: 1477
% 173.19/173.68 Deleted: 5483
% 173.19/173.68 Deletedinuse: 12
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 841728
% 173.19/173.68 Kept: 154610
% 173.19/173.68 Inuse: 1482
% 173.19/173.68 Deleted: 5483
% 173.19/173.68 Deletedinuse: 12
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 854462
% 173.19/173.68 Kept: 157606
% 173.19/173.68 Inuse: 1487
% 173.19/173.68 Deleted: 5483
% 173.19/173.68 Deletedinuse: 12
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68
% 173.19/173.68 Intermediate Status:
% 173.19/173.68 Generated: 868086
% 173.19/173.68 Kept: 159930
% 173.19/173.68 Inuse: 1507
% 173.19/173.68 Deleted: 5483
% 173.19/173.68 Deletedinuse: 12
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 173.19/173.68 Resimplifying inuse:
% 173.19/173.68 Done
% 173.19/173.68
% 300.06/300.50 Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------