TSTP Solution File: ALG437-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ALG437-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n009.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 : 300s
% DateTime : Wed Jul 27 12:46:40 EDT 2022
% Result : Unknown 279.21s 279.38s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG437-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n009.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 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 03:33:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 279.21/279.36 ----- Otter 3.3f, August 2004 -----
% 279.21/279.36 The process was started by sandbox on n009.cluster.edu,
% 279.21/279.36 Wed Jul 27 03:33:36 2022
% 279.21/279.36 The command was "./otter". The process ID is 7069.
% 279.21/279.36
% 279.21/279.36 set(prolog_style_variables).
% 279.21/279.36 set(auto).
% 279.21/279.36 dependent: set(auto1).
% 279.21/279.36 dependent: set(process_input).
% 279.21/279.36 dependent: clear(print_kept).
% 279.21/279.36 dependent: clear(print_new_demod).
% 279.21/279.36 dependent: clear(print_back_demod).
% 279.21/279.36 dependent: clear(print_back_sub).
% 279.21/279.36 dependent: set(control_memory).
% 279.21/279.36 dependent: assign(max_mem, 12000).
% 279.21/279.36 dependent: assign(pick_given_ratio, 4).
% 279.21/279.36 dependent: assign(stats_level, 1).
% 279.21/279.36 dependent: assign(max_seconds, 10800).
% 279.21/279.36 clear(print_given).
% 279.21/279.36
% 279.21/279.36 list(usable).
% 279.21/279.36 0 [] A=A.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_z,V_w,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_y,V_w,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(V_x,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)| -class_HOL_Oe_q(T_a)|c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a))=c_fe_qual(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_HOL_Oe_q(T_a)|c_HOL_Oe_q__class_Oe_q(T_a)=c_fe_qual(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__semigroup__idem__mult(T_a)|c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_x,V_y,T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)| -class_HOL_Oe_q(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),c_Polynomial_OpCons(V_b,V_q,T_a))).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)| -class_HOL_Oe_q(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_q))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),c_Polynomial_OpCons(V_b,V_q,T_a))).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(T_a),V_a,T_a).
% 279.21/279.36 0 [] hAPP(c_Fun_Ofcomp(V_f,V_g,T_b,T_c,T_a),V_x)=hAPP(V_g,hAPP(V_f,V_x)).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a),T_a)=V_b.
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_Polynomial_Odegree(c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),T_a)=c_Polynomial_Odegree(V_p,T_a).
% 279.21/279.36 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 279.21/279.36 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a),c_Lattices_Oupper__semilattice__class_Osup(V_z,V_x,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(V_a,V_p,T_a)!=c_Polynomial_OpCons(V_b,V_q,T_a)|V_p=V_q.
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(V_a,V_p,T_a)!=c_Polynomial_OpCons(V_b,V_q,T_a)|V_a=V_b.
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)| -class_HOL_Oe_q(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),c_Polynomial_OpCons(V_b,V_q,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),V_q))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(T_a),c_HOL_Ozero__class_Ozero(T_a)),V_b)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_b,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_a,T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a).
% 279.21/279.36 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=V_x.
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(c_Polynomial_Ocoeff(c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a),V_n)=c_HOL_Ominus__class_Ominus(hAPP(c_Polynomial_Ocoeff(V_p,T_a),V_n),hAPP(c_Polynomial_Ocoeff(V_q,T_a),V_n),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|V_r1=V_r2| -c_Polynomial_Opdivmod__rel(V_x,V_y,V_q2,V_r2,T_a)| -c_Polynomial_Opdivmod__rel(V_x,V_y,V_q1,V_r1,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|V_q1=V_q2| -c_Polynomial_Opdivmod__rel(V_x,V_y,V_q2,V_r2,T_a)| -c_Polynomial_Opdivmod__rel(V_x,V_y,V_q1,V_r1,T_a).
% 279.21/279.36 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(V_x,T_a)!=c_HOL_Ouminus__class_Ouminus(V_y,T_a)|V_x=V_y.
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=c_HOL_Ouminus__class_Ouminus(V_b,T_a)|V_a=V_b.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)=V_a.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|V_a=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),V_c,T_a)=V_a|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_ry,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),c_HOL_Otimes__class_Otimes(V_ly,V_ry,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 279.21/279.36 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 279.21/279.36 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 279.21/279.36 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_y,V_z,T_a),T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OAbs__poly(c_Polynomial_Ocoeff(V_x,T_a),T_a)=V_x.
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Polynomial_Odegree(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a),T_a)=c_HOL_Ozero__class_Ozero(tc_nat).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_c,V_p,T_a),c_Polynomial_OpCons(V_a,V_p,T_a),tc_Polynomial_Opoly(T_a))!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Polynomial_Opdivmod__rel(c_Polynomial_Osmult(V_a,V_x,T_a),V_y,c_Polynomial_Osmult(V_a,V_q,T_a),c_Polynomial_Osmult(V_a,V_r,T_a),T_a)| -c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__ring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ominus__class_Ominus(V_y,V_z,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_z,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_a,T_a)!=c_HOL_Otimes__class_Otimes(V_b,V_b,T_a)|V_a=c_HOL_Ouminus__class_Ouminus(V_b,T_a)|V_a=V_b.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(V_a,V_p,T_a),V_c,T_a)=c_Polynomial_OpCons(hAPP(c_Polynomial_Opoly(V_p,T_a),V_c),c_Polynomial_Osynthetic__div(V_p,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_Polynomial_OpCons(V_a,V_p,T_a),tc_Polynomial_Opoly(T_a))=c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|V_x=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_q,V_y,tc_Polynomial_Opoly(T_a)),V_r,tc_Polynomial_Opoly(T_a))| -c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|hAPP(c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_p,T_a)=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_b,V_p,T_a),tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Osmult(V_a,c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a)=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)=c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)| -class_HOL_Oe_q(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(V_a,V_p,T_a)),c_Polynomial_OpCons(V_b,V_q,T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),V_p),V_q))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(T_a),V_a),V_b)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Oring__char__0(T_a)|c_Polynomial_Odegree(V_p,T_a)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(c_Polynomial_Opoly(V_p,T_a),T_a,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Oring__char__0(T_a)|c_Polynomial_Odegree(V_p,T_a)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(c_Polynomial_Opoly(V_p,T_a),T_a,T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|hAPP(c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),T_a),V_x)=hAPP(c_Polynomial_Opoly(V_p,T_a),c_HOL_Oplus__class_Oplus(V_h,V_x,T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),T_a)=c_Polynomial_Odegree(V_p,T_a).
% 279.21/279.36 0 [] -class_SEQ_Obanach(T_a)| -class_RealVector_Oreal__normed__field(T_a)|c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Omonoid__mult(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a)=V_a.
% 279.21/279.36 0 [] -class_OrderedGroup_Omonoid__mult(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a)=V_a.
% 279.21/279.36 0 [] -class_OrderedGroup_Ocomm__monoid__mult(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a)=V_a.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_x,T_a)=V_x.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oone__class_Oone(T_a),T_a)=V_a.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(T_a),V_a,T_a)=V_a.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_b,V_a,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Odvd(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_b,c_HOL_Otimes__class_Otimes(V_b,V_k,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))| -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a))| -c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_d,T_a),c_HOL_Otimes__class_Otimes(V_x,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Polynomial_Opoly__gcd(V_x,c_Polynomial_Opoly__gcd(V_y,V_z,T_a),T_a)=c_Polynomial_Opoly__gcd(V_y,c_Polynomial_Opoly__gcd(V_x,V_z,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),V_z,T_a)=c_Polynomial_Opoly__gcd(V_x,c_Polynomial_Opoly__gcd(V_y,V_z,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_b,T_a)=V_a.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(V_a,V_p,T_a),V_h,T_a)=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),T_a),c_Polynomial_OpCons(V_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a),T_a),tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),V_x,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_z,V_x,T_a),T_a).
% 279.21/279.36 0 [] -class_Lattices_Odistrib__lattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),c_Lattices_Olower__semilattice__class_Oinf(V_x,V_z,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Polynomial_Opoly__gcd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_Polynomial_Opoly(T_a)),T_a)=c_Polynomial_Opoly__gcd(V_x,V_y,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Polynomial_Opoly__gcd(c_HOL_Ouminus__class_Ouminus(V_x,tc_Polynomial_Opoly(T_a)),V_y,T_a)=c_Polynomial_Opoly__gcd(V_x,V_y,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_y,T_a)=c_HOL_Otimes__class_Otimes(V_y,V_x,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_b,T_a)=c_HOL_Otimes__class_Otimes(V_b,V_a,T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add__join(T_a)|c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_c,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add__join(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Oupper__semilattice__class_Osup(V_b,V_c,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),V_c,T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_x,T_a)=V_x.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|hAPP(c_Polynomial_Ocoeff(c_Polynomial_Osmult(V_a,V_p,T_a),T_a),V_n)=c_HOL_Otimes__class_Otimes(V_a,hAPP(c_Polynomial_Ocoeff(V_p,T_a),V_n),T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|hAPP(c_Polynomial_Ocoeff(c_Polynomial_Omonom(V_a,V_m,T_a),T_a),V_n)=c_HOL_Ozero__class_Ozero(T_a)|V_m=V_n.
% 279.21/279.36 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_b,c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_z,T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_y,c_HOL_Oplus__class_Oplus(V_x,V_z,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_d,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),V_b,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_c,c_HOL_Oplus__class_Oplus(V_a,V_d,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 279.21/279.36 0 [] hAPP(c_COMBK(V_P,T_a,T_b),V_Q)=V_P.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Oinverse__class_Odivide(V_x,V_x,T_a)=c_HOL_Oone__class_Oone(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a)=c_HOL_Oone__class_Oone(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(V_a,V_a,T_a)=c_HOL_Oone__class_Oone(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)!=c_HOL_Ominus__class_Ominus(V_x_H,V_y_H,T_a)|V_x_H=V_y_H.
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_xa,V_y,T_a)!=c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)|V_xa=V_y.
% 279.21/279.36 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 279.21/279.36 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 279.21/279.36 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_z,T_a),T_a).
% 279.21/279.36 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),V_z,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_y,V_z,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|V_a=c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_a,T_a),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_a,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_c,T_a),T_a)!=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_r,V_d,T_a),T_a)|V_c=V_d|V_r=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,T_a),c_HOL_Otimes__class_Otimes(V_y,V_y,T_a),T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a)| -c_Polynomial_Opos__poly(V_q,T_a)| -c_Polynomial_Opos__poly(V_p,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Osmult(V_a,c_Polynomial_OpCons(V_b,V_p,T_a),T_a)=c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_Polynomial_Osmult(V_a,V_p,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__semigroup__idem__mult(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_x,T_a)=V_x.
% 279.21/279.36 0 [] c_Pair(V_a,V_b,T_a,T_b)!=c_Pair(V_a_H,V_b_H,T_a,T_b)|V_b=V_b_H.
% 279.21/279.36 0 [] c_Pair(V_a,V_b,T_a,T_b)!=c_Pair(V_a_H,V_b_H,T_a,T_b)|V_a=V_a_H.
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_Omonom(V_a,c_HOL_Ozero__class_Ozero(tc_nat),T_a)=c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a).
% 279.21/279.36 0 [] hAPP(V_f,hAPP(V_g,V_x))!=hAPP(V_f_H,hAPP(V_g_H,V_x_H))|hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(c_Fun_Ocomp(V_f_H,V_g_H,T_d,T_a,T_e),V_x_H).
% 279.21/279.36 0 [] c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a)!=c_Fun_Ocomp(V_c,V_d,T_d,T_b,T_a)|hAPP(V_a,hAPP(V_b,V_v))=hAPP(V_c,hAPP(V_d,V_v)).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_Ocoeff(V_x,T_a)!=c_Polynomial_Ocoeff(V_y,T_a)|V_x=V_y.
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Polynomial_Odegree(c_Polynomial_Osmult(V_a,V_p,T_a),T_a)=c_Polynomial_Odegree(V_p,T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Odvd(T_a)| -class_Ring__and__Field_Ocomm__ring(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Odvd(T_a)| -class_Ring__and__Field_Ocomm__ring(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(V_x,V_t,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_d,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_x,c_HOL_Otimes__class_Otimes(V_k,V_D,T_a),T_a),V_t,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_d,V_D,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a))| -c_Ring__and__Field_Odvd__class_Odvd(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)!=c_HOL_Oone__class_Oone(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 279.21/279.36 0 [] -class_Int_Onumber__ring(T_a)|c_HOL_Ouminus__class_Ouminus(V_x,T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(T_a),T_a),V_x,T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__semigroup__mult(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_c,T_a)=c_HOL_Otimes__class_Otimes(V_a,c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ly,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_ly,T_a),V_rx,T_a)=c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_ly,V_rx,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_lx,V_rx,T_a),V_ry,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_lx,c_HOL_Otimes__class_Otimes(V_rx,V_ry,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_rx,c_HOL_Otimes__class_Otimes(V_lx,V_ry,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),V_z,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_a_H,T_a),V_b,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),V_r,tc_Polynomial_Opoly(T_a))=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_p,V_r,tc_Polynomial_Opoly(T_a)),c_HOL_Otimes__class_Otimes(V_q,V_r,tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|hAPP(c_Polynomial_Ocoeff(c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),T_a),V_n)=c_HOL_Ouminus__class_Ouminus(hAPP(c_Polynomial_Ocoeff(V_p,T_a),V_n),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a))| -c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))|V_a=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a))| -c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))| -c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a))|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a))|V_a=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a))|V_a=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Osmult(V_c,V_p,T_a)!=c_Polynomial_OpCons(V_a,V_p,T_a)|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)| -class_HOL_Oe_q(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),V_x),V_x)).
% 279.21/279.36 0 [] -class_HOL_Oe_q(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(T_a),V_x),V_x)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),c_HOL_Otimes__class_Otimes(V_b,V_m,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_m,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_b,V_b,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(V_a,V_b,T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(V_a,V_p,T_a),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a))=c_Polynomial_OpCons(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(V_a,T_a),T_a)=c_HOL_Osgn__class_Osgn(V_a,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Osmult(V_a,c_Polynomial_Omonom(V_b,V_n,T_a),T_a)=c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_n,T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(V_x,T_a),T_a).
% 279.21/279.36 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Polynomial_Osmult(c_HOL_Oone__class_Oone(T_a),V_p,T_a)=V_p.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_c,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|hAPP(c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),T_a),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),T_a))=c_HOL_Oone__class_Oone(T_a)|V_y=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|hAPP(c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),T_a),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),T_a))=c_HOL_Oone__class_Oone(T_a)|V_x=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ouminus__class_Ouminus(V_a,T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a))=c_HOL_Ouminus__class_Ouminus(V_q,tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),V_h,T_a)=c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oplus__class_Oplus(V_z,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(V_z,V_y,T_a),T_a),V_y,T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_c,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_Int_Onumber__ring(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__ring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__ring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_x,c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__ring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__ring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_x,V_y,T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(c_Polynomial_Omonom(V_a,V_n,T_a),c_Polynomial_Omonom(V_b,V_n,T_a),tc_Polynomial_Opoly(T_a))=c_Polynomial_Omonom(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_n,T_a).
% 279.21/279.36 0 [] -class_HOL_Oe_q(T_a)|c_fe_qual(T_a)=c_HOL_Oe_q__class_Oe_q(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Oone__class_Oone(T_a),T_a)=V_a.
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(V_x,V_y,T_a)!=c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)|V_y=V_z.
% 279.21/279.36 0 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)|V_b=V_c.
% 279.21/279.36 0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)|V_b=V_c.
% 279.21/279.36 0 [] -class_OrderedGroup_Ocancel__semigroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_b,V_a,T_a)!=c_HOL_Oplus__class_Oplus(V_c,V_a,T_a)|V_b=V_c.
% 279.21/279.36 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_Polynomial_Opos__poly(c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),T_a)|c_Polynomial_Opos__poly(V_p,T_a)|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|hAPP(c_Polynomial_Ocoeff(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a),V_n)=c_HOL_Oplus__class_Oplus(hAPP(c_Polynomial_Ocoeff(V_p,T_a),V_n),hAPP(c_Polynomial_Ocoeff(V_q,T_a),V_n),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_Polynomial_Omonom(V_a,V_n,T_a),tc_Polynomial_Opoly(T_a))=c_Polynomial_Omonom(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_n,T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add__meet(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_Lattices_Olower__semilattice__class_Oinf(V_b,V_c,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add__meet(T_a)|c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),V_c,T_a)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_a,T_a),V_b,T_a)=c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a)=c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a)=c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_xa,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a)=c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),V_y,T_a)=c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_x,c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a)=c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|hAPP(c_Polynomial_Ocoeff(c_Polynomial_Omonom(V_a,V_x,T_a),T_a),V_x)=V_a.
% 279.21/279.36 0 [] -class_SEQ_Obanach(T_a)| -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a)=c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(V_x,T_a),V_y,T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_a,T_a),V_b,T_a),T_a),c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_y,V_b,T_a),T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__ring(T_a)|hAPP(c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),T_a),V_x)=c_HOL_Ouminus__class_Ouminus(hAPP(c_Polynomial_Opoly(V_p,T_a),V_x),T_a).
% 279.21/279.36 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 279.21/279.36 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_y,V_x,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Osemiring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_c,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_e,T_a),V_c,T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),V_b,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_xa,c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_xa,V_x,T_a),c_HOL_Otimes__class_Otimes(V_xa,V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ominus__class_Ominus(V_b,V_b_H,T_a),T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a,V_b_H,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_a_H,T_a),V_b,T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_a_H,V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_x,V_y,T_a),V_ya,T_a)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_x,V_ya,T_a),c_HOL_Otimes__class_Otimes(V_y,V_ya,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_c,T_a),c_HOL_Oplus__class_Oplus(V_b,V_d,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),c_HOL_Ominus__class_Ominus(V_c,V_d,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra__1(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(T_a),T_a)=c_HOL_Oone__class_Oone(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__ring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_c,T_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),c_Polynomial_Osynthetic__div(V_p,V_c,T_a),tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(hAPP(c_Polynomial_Opoly(V_p,T_a),V_c),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),tc_Polynomial_Opoly(T_a))=V_p.
% 279.21/279.36 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_Polynomial_Opos__poly(c_Polynomial_OpCons(V_a,V_p,T_a),T_a)| -c_Polynomial_Opos__poly(V_p,T_a).
% 279.21/279.36 0 [] c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a)!=c_Fun_Ocomp(c_Fun_Oid(T_b),V_c,T_b,T_b,T_a)|hAPP(V_a,hAPP(V_b,V_v))=hAPP(V_c,V_v).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|V_y=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))| -c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a)|c_Polynomial_Opdivmod__rel(c_Polynomial_OpCons(V_a,V_x,T_a),V_y,c_Polynomial_OpCons(c_HOL_Oinverse__class_Odivide(hAPP(c_Polynomial_Ocoeff(c_Polynomial_OpCons(V_a,V_r,T_a),T_a),c_Polynomial_Odegree(V_y,T_a)),hAPP(c_Polynomial_Ocoeff(V_y,T_a),c_Polynomial_Odegree(V_y,T_a)),T_a),V_q,T_a),c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(V_a,V_r,T_a),c_Polynomial_Osmult(c_HOL_Oinverse__class_Odivide(hAPP(c_Polynomial_Ocoeff(c_Polynomial_OpCons(V_a,V_r,T_a),T_a),c_Polynomial_Odegree(V_y,T_a)),hAPP(c_Polynomial_Ocoeff(V_y,T_a),c_Polynomial_Odegree(V_y,T_a)),T_a),V_y,T_a),tc_Polynomial_Opoly(T_a)),T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a)=c_HOL_Ozero__class_Ozero(tc_nat).
% 279.21/279.36 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Oplus__class_Oplus(V_b,V_b_H,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),c_RealVector_OscaleR__class_OscaleR(V_a,V_b_H,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a).
% 279.21/279.36 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 279.21/279.36 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_y,V_x,T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_a,V_b,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(V_x,T_a),c_HOL_Ouminus__class_Ouminus(V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|hAPP(c_Polynomial_Opoly(c_Polynomial_Osmult(V_a,V_p,T_a),T_a),V_x)=c_HOL_Otimes__class_Otimes(V_a,hAPP(c_Polynomial_Opoly(V_p,T_a),V_x),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Polynomial_Opdivmod__rel(V_x,c_HOL_Otimes__class_Otimes(V_y,V_z,tc_Polynomial_Opoly(T_a)),V_q_H,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_y,V_r_H,tc_Polynomial_Opoly(T_a)),V_r,tc_Polynomial_Opoly(T_a)),T_a)| -c_Polynomial_Opdivmod__rel(V_q,V_z,V_q_H,V_r_H,T_a)| -c_Polynomial_Opdivmod__rel(V_x,V_y,V_q,V_r,T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)!=V_y|V_x=c_HOL_Ouminus__class_Ouminus(V_z,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)=c_HOL_Oinverse__class_Odivide(V_a,V_b,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Lattices_Oupper__semilattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 279.21/279.36 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a),T_a)=c_Lattices_Oupper__semilattice__class_Osup(V_x,V_y,T_a).
% 279.21/279.36 0 [] -class_SEQ_Obanach(T_a)| -class_RealVector_Oreal__normed__field(T_a)|c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(V_x,T_a),c_Transcendental_Oexp(V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),V_z,T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),V_y,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_HOL_Otimes__class_Otimes(V_p,c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a))=c_Polynomial_Osmult(V_a,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a))=c_Polynomial_Osmult(V_a,c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__ring(T_a)|hAPP(c_Polynomial_Opoly(c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a),V_x)=c_HOL_Ominus__class_Ominus(hAPP(c_Polynomial_Opoly(V_p,T_a),V_x),hAPP(c_Polynomial_Opoly(V_q,T_a),V_x),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(V_a,V_b,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Osmult(V_a,c_Polynomial_Osmult(V_b,V_p,T_a),T_a)=c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),V_p,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_HOL_Oplus__class_Oplus(V_p,c_Polynomial_Osmult(V_c,c_Polynomial_Osynthetic__div(V_p,V_c,T_a),T_a),tc_Polynomial_Opoly(T_a))=c_Polynomial_OpCons(hAPP(c_Polynomial_Opoly(V_p,T_a),V_c),c_Polynomial_Osynthetic__div(V_p,V_c,T_a),T_a).
% 279.21/279.36 0 [] hAPP(c_Fun_Oid(T_a),V_x)=V_x.
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_b,T_a)=V_a.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_a,V_c,T_a),c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_x,V_y,T_a),V_ya,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_ya,T_a),c_HOL_Oinverse__class_Odivide(V_y,V_ya,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=V_b.
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_a=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|V_b=c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_Lattices_Oboolean__algebra(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=V_x.
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)=V_a.
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a)=c_HOL_Ominus__class_Ominus(V_b,V_a,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|hAPP(c_Polynomial_Opoly(V_p,T_a),V_c)=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_c,T_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|hAPP(c_Polynomial_Opoly(V_p,T_a),V_c)!=c_HOL_Ozero__class_Ozero(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(V_c,T_a),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|hAPP(c_Polynomial_Opoly(V_p,T_a),c_HOL_Ouminus__class_Ouminus(V_c,T_a))!=c_HOL_Ozero__class_Ozero(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(V_c,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|hAPP(c_Polynomial_Opoly(V_p,T_a),c_HOL_Ouminus__class_Ouminus(V_c,T_a))=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(V_c,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a),V_p,tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Ozero__class_Ozero(T_a)=c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a)!=c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 279.21/279.36 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_RealVector_OscaleR__class_OscaleR(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ozero__class_Ozero(T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Osgn__if(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oring__no__zero__divisors(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oring__no__zero__divisors(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Omult__zero(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Omult__zero(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_b,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__algebra(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)|c_HOL_Ozero__class_Ozero(T_a)!=c_HOL_Oone__class_Oone(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oordered__ab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=V_a|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ozero__ne_q__one(T_a)|c_HOL_Oone__class_Oone(T_a)!=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oring__no__zero__divisors(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ono__zero__divisors(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ono__zero__divisors(T_a)|c_HOL_Otimes__class_Otimes(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a)|V_b=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_x,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|V_x!=c_HOL_Oplus__class_Oplus(V_x,V_a,T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ozero__class_Ozero(T_a)!=c_HOL_Ouminus__class_Ouminus(V_a,T_a)|c_HOL_Ozero__class_Ozero(T_a)=V_a.
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)!=c_HOL_Oplus__class_Oplus(V_y,V_u,T_a)|c_HOL_Oplus__class_Oplus(V_x,V_z,T_a)=V_u.
% 279.21/279.36 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_Polynomial_Opos__poly(c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a)| -c_Polynomial_Opos__poly(V_q,T_a)| -c_Polynomial_Opos__poly(V_p,T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(V_x,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(V_x,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|c_Polynomial_Opos__poly(V_p,T_a)| -c_Polynomial_Opos__poly(c_Polynomial_OpCons(V_a,V_p,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)),V_y,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)),V_r,tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_r,T_a).
% 279.21/279.36 0 [] c_Fun_Ocomp(V_f,c_Fun_Oid(T_a),T_a,T_b,T_a)=V_f.
% 279.21/279.36 0 [] c_Fun_Ocomp(c_Fun_Oid(T_b),V_g,T_b,T_b,T_a)=V_g.
% 279.21/279.36 0 [] -class_SEQ_Obanach(T_a)| -class_RealVector_Oreal__normed__field(T_a)|c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Oone__class_Oone(T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),V_y,T_a)=c_RealVector_OscaleR__class_OscaleR(V_r,c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_a,c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Opcompose(c_Polynomial_OpCons(V_a,V_p,T_a),V_q,T_a)=c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),c_HOL_Otimes__class_Otimes(V_q,c_Polynomial_Opcompose(V_p,V_q,T_a),tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_RealVector_Oreal__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),c_HOL_Otimes__class_Otimes(V_c,V_d,T_a),T_a),V_h,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_d,T_a),V_h,T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_a,V_c,T_a),V_h,T_a),V_d,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__ring(T_a)|c_Polynomial_Osmult(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_p,T_a)=c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(V_a,V_p,T_a),tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__ring(T_a)|c_Polynomial_Osmult(V_a,c_HOL_Ouminus__class_Ouminus(V_p,tc_Polynomial_Opoly(T_a)),T_a)=c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(V_a,V_p,T_a),tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a),T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_Odegree(c_Polynomial_OpCons(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),T_a)=c_HOL_Ozero__class_Ozero(tc_nat).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_c,V_a,T_a),c_HOL_Otimes__class_Otimes(V_c,V_b,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)| -class_HOL_Oe_q(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(T_a),V_a),V_b))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(V_a,V_p,T_a)),c_Polynomial_OpCons(V_b,V_q,T_a))).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)| -class_HOL_Oe_q(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),V_p),V_q))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(V_a,V_p,T_a)),c_Polynomial_OpCons(V_b,V_q,T_a))).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_e,T_a),V_c,T_a)=V_d.
% 279.21/279.36 0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_e,T_a),V_c,T_a)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_b,V_e,T_a),V_d,T_a)|V_c=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(V_b,V_a,T_a),V_e,T_a),V_d,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|hAPP(c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a),V_x)=c_HOL_Otimes__class_Otimes(hAPP(c_Polynomial_Opoly(V_p,T_a),V_x),hAPP(c_Polynomial_Opoly(V_q,T_a),V_x),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_k,V_x,tc_Polynomial_Opoly(T_a))| -c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Polynomial_Opoly__gcd(V_x,V_y,T_a),tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_k,V_y,tc_Polynomial_Opoly(T_a))| -c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Polynomial_Opoly__gcd(V_x,V_y,T_a),tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|hAPP(c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a),V_x)=c_HOL_Oplus__class_Oplus(hAPP(c_Polynomial_Opoly(V_p,T_a),V_x),hAPP(c_Polynomial_Opoly(V_q,T_a),V_x),T_a).
% 279.21/279.36 0 [] c_Complex_Ocnj(c_Complex_Ocnj(V_z))=V_z.
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_r,V_b,T_a),T_a)=c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_a,V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_RealVector_OscaleR__class_OscaleR(V_b,V_x,T_a),T_a)=c_RealVector_OscaleR__class_OscaleR(V_b,c_RealVector_OscaleR__class_OscaleR(V_a,V_x,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_ra,c_RealVector_OscaleR__class_OscaleR(V_r,V_x,T_a),T_a)=c_RealVector_OscaleR__class_OscaleR(V_r,c_RealVector_OscaleR__class_OscaleR(V_ra,V_x,T_a),T_a).
% 279.21/279.36 0 [] c_Complex_Oii!=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_c,T_a)=c_HOL_Oplus__class_Oplus(V_c,V_a,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_x,V_y,T_a)=c_HOL_Oplus__class_Oplus(V_y,V_x,T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)=c_HOL_Oplus__class_Oplus(V_b,V_a,T_a).
% 279.21/279.36 0 [] hAPP(c_Fun_Ocomp(c_COMBK(V_c,T_b,T_c),V_f,T_c,T_b,t_a),v_x)=V_c.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_m,V_m,T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(T_a),c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a).
% 279.21/279.36 0 [] hAPP(V_a,hAPP(V_b,V_v))=hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v).
% 279.21/279.36 0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x)=hAPP(V_f,hAPP(V_g,V_x)).
% 279.21/279.36 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(V_a,V_p,T_a),c_Polynomial_OpCons(V_b,V_q,T_a),tc_Polynomial_Opoly(T_a))=c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),c_HOL_Oplus__class_Oplus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Ozero__class_Ozero(T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__ring(T_a)|c_Polynomial_Osmult(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_p,T_a)=c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_b,V_p,T_a),tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__ring(T_a)|c_Polynomial_Osmult(V_a,c_HOL_Ominus__class_Ominus(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a)=c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_Osmult(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Ouminus__class_Ouminus(V_a,T_a)=V_b.
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ouminus__class_Ouminus(V_b,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_d,T_a),c_HOL_Otimes__class_Otimes(V_b,V_c,T_a),T_a)|V_c=V_d|V_a=V_b.
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),T_a)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_w,V_z,T_a),c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)|V_y=V_z|V_w=V_x.
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_Odegree(c_Polynomial_Omonom(V_a,V_n,T_a),T_a)=V_n|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a),c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a),T_a)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_z,T_a),c_HOL_Otimes__class_Otimes(V_w,V_y,T_a),T_a),c_HOL_Otimes__class_Otimes(V_y,V_z,T_a),T_a)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|V_b=c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(V_b,V_c,T_a),V_c,T_a)=V_b|V_c=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)| -class_HOL_Oe_q(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a)))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(V_a,V_p,T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)| -class_HOL_Oe_q(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),V_p),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(V_a,V_p,T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))).
% 279.21/279.36 0 [] c_Complex_Ocnj(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex))=c_HOL_Oone__class_Oone(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),V_m,T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_m,c_HOL_Otimes__class_Otimes(V_a,V_m,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_a,c_HOL_Oone__class_Oone(T_a),T_a),V_m,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(V_a,V_p,T_a),V_q,tc_Polynomial_Opoly(T_a))=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_q,T_a),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a),tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_HOL_Otimes__class_Otimes(V_p,c_Polynomial_OpCons(V_a,V_q,T_a),tc_Polynomial_Opoly(T_a))=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(V_a,V_p,T_a),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Otimes__class_Otimes(V_p,V_q,tc_Polynomial_Opoly(T_a)),T_a),tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_HOL_Oplus__class_Oplus(V_p,c_Polynomial_Osmult(V_c,V_q,T_a),tc_Polynomial_Opoly(T_a))!=c_Polynomial_OpCons(V_r,V_q,T_a)|V_r=hAPP(c_Polynomial_Opoly(V_p,T_a),V_c).
% 279.21/279.36 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=V_x.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Osynthetic__div(V_p,V_c,T_a)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|c_Polynomial_Odegree(V_p,T_a)=c_HOL_Ozero__class_Ozero(tc_nat).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Odegree(V_p,T_a)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_Polynomial_Osynthetic__div(V_p,V_c,T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)| -class_HOL_Oe_q(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),c_Polynomial_OpCons(V_a,V_p,T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),V_p),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(T_a),V_a),c_HOL_Ozero__class_Ozero(T_a))).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_z,T_a),c_HOL_Oplus__class_Oplus(V_y,V_z,T_a),T_a)=V_y.
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)=V_b.
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)| -class_HOL_Oe_q(T_a)|V_p=V_q| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),V_p),V_q)).
% 279.21/279.36 0 [] -class_HOL_Oe_q(T_a)|V_x=V_y| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(T_a),V_x),V_y)).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|hAPP(c_Polynomial_Ocoeff(c_Polynomial_OpCons(V_a,V_p,T_a),T_a),c_HOL_Ozero__class_Ozero(tc_nat))=V_a.
% 279.21/279.36 0 [] c_Complex_Ocnj(V_x)!=c_Complex_Ocnj(V_y)|V_x=V_y.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Polynomial_Opoly__gcd(V_x,V_y,T_a)=c_Polynomial_Opoly__gcd(V_y,V_x,T_a).
% 279.21/279.36 0 [] c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a)=c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oring(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(V_a,T_a),V_b,T_a)=c_HOL_Otimes__class_Otimes(V_a,c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),V_y,tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(V_x,V_y,T_a),V_x,tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Polynomial_Opoly__gcd(V_x,V_y,T_a),tc_Polynomial_Opoly(T_a))| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_y,tc_Polynomial_Opoly(T_a))| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_x,tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Ring__and__Field_Odvd__class_Odvd(V_k,c_Polynomial_Opoly__gcd(V_x,V_y,T_a),tc_Polynomial_Opoly(T_a))| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_y,tc_Polynomial_Opoly(T_a))| -c_Ring__and__Field_Odvd__class_Odvd(V_k,V_x,tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] hAPP(V_f,V_x)=hAPP(V_f,V_y)| -c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(V_f,t_a,t_b).
% 279.21/279.36 0 [] -class_Lattices_Olattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 279.21/279.36 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a),T_a)=c_Lattices_Olower__semilattice__class_Oinf(V_x,V_y,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_HOL_Oplus__class_Oplus(V_p,c_Polynomial_Osmult(V_c,V_q,T_a),tc_Polynomial_Opoly(T_a))!=c_Polynomial_OpCons(V_r,V_q,T_a)|V_q=c_Polynomial_Osynthetic__div(V_p,V_c,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|hAPP(c_Polynomial_Ocoeff(V_p,T_a),c_Polynomial_Odegree(V_p,T_a))!=hAPP(c_Polynomial_Ocoeff(V_q,T_a),c_Polynomial_Odegree(V_q,T_a))|V_p=V_q| -c_Ring__and__Field_Odvd__class_Odvd(V_q,V_p,tc_Polynomial_Opoly(T_a))| -c_Ring__and__Field_Odvd__class_Odvd(V_p,V_q,tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a)=c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),T_a).
% 279.21/279.36 0 [] c_Fun_Ofcomp(c_Fun_Oid(T_a),V_g,T_a,T_a,T_b)=V_g.
% 279.21/279.36 0 [] c_Fun_Ofcomp(V_f,c_Fun_Oid(T_b),T_a,T_b,T_b)=V_f.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(V_a,V_c,T_a),c_HOL_Otimes__class_Otimes(V_b,V_d,T_a),T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_c,V_d,T_a)| -c_Ring__and__Field_Odvd__class_Odvd(V_a,V_b,T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(c_Polynomial_Omonom(V_a,V_n,T_a),c_Polynomial_Omonom(V_b,V_n,T_a),tc_Polynomial_Opoly(T_a))=c_Polynomial_Omonom(c_HOL_Ominus__class_Ominus(V_a,V_b,T_a),V_n,T_a).
% 279.21/279.36 0 [] -class_Lattices_Olower__semilattice(T_a)|c_Lattices_Olower__semilattice__class_Oinf(V_x,V_x,T_a)=V_x.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,V_p,T_a),T_a),V_x)=c_HOL_Oplus__class_Oplus(V_a,c_HOL_Otimes__class_Otimes(V_x,hAPP(c_Polynomial_Opoly(V_p,T_a),V_x),T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oordered__ring__strict(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(T_a),T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|V_y=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_q,V_y,tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)),V_y,V_q,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(T_a)|c_Lattices_Oupper__semilattice__class_Osup(V_a,V_b,T_a)=c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)!=c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)=c_HOL_Otimes__class_Otimes(V_w,V_y,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Otimes__class_Otimes(V_x,V_z,T_a)!=c_HOL_Otimes__class_Otimes(V_w,V_y,T_a)|V_z=c_HOL_Ozero__class_Ozero(T_a)|V_y=c_HOL_Ozero__class_Ozero(T_a)|c_HOL_Oinverse__class_Odivide(V_x,V_y,T_a)=c_HOL_Oinverse__class_Odivide(V_w,V_z,T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__div__algebra(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_x,V_y,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_x,T_a),c_HOL_Osgn__class_Osgn(V_y,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(V_a,V_b,T_a),T_a)=c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(V_a,T_a),c_HOL_Osgn__class_Osgn(V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(T_a),V_c,T_a),V_c,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_Omonom(V_a,V_n,T_a)!=c_Polynomial_Omonom(V_b,V_n,T_a)|V_a=V_b.
% 279.21/279.36 0 [] c_Fun_Ofcomp(c_Fun_Ofcomp(V_f,V_g,T_a,T_d,T_c),V_h,T_a,T_c,T_b)=c_Fun_Ofcomp(V_f,c_Fun_Ofcomp(V_g,V_h,T_d,T_c,T_b),T_a,T_d,T_b).
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_b,T_a),c_HOL_Ouminus__class_Ouminus(V_a,T_a),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(V_a,V_b,T_a),T_a)=c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_a,T_a),c_HOL_Ouminus__class_Ouminus(V_b,T_a),T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__vector(T_a)|c_RealVector_OscaleR__class_OscaleR(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 279.21/279.36 0 [] -class_OrderedGroup_Ogroup__add(T_a)|c_HOL_Ominus__class_Ominus(V_a,V_b,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=V_b.
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|c_HOL_Ominus__class_Ominus(V_x,V_y,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=V_y.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(V_b,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -class_Ring__and__Field_Odivision__by__zero(T_a)|c_HOL_Oinverse__class_Odivide(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__field(T_a)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(T_a),V_y,T_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Osgn__class_Osgn(V_a,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_RealVector_Oreal__normed__vector(T_a)|c_HOL_Osgn__class_Osgn(V_x,T_a)!=c_HOL_Ozero__class_Ozero(T_a)|V_x=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_SEQ_Obanach(T_a)| -class_RealVector_Oreal__normed__field(T_a)|c_Transcendental_Oexp(V_x,T_a)!=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 279.21/279.36 0 [] -class_OrderedGroup_Omonoid__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=V_a.
% 279.21/279.36 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Onumber__ring(T_a)|V_x=c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ozero__class_Ozero(T_a),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_x,T_a)=V_x.
% 279.21/279.36 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=V_a.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(V_a,c_HOL_Ozero__class_Ozero(T_a),T_a)=V_a.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__1(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(T_a),V_a,T_a)=V_a.
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(t_a)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(v_x,t_a)=c_Lattices_Oupper__semilattice__class_Osup(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Olordered__ab__group__add(t_a)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(v_x,t_a)=c_Lattices_Olower__semilattice__class_Oinf(v_x,c_HOL_Ozero__class_Ozero(t_a),t_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a),V_q,tc_Polynomial_Opoly(T_a))|V_q=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|hAPP(c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a))=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))=c_Polynomial_OAbs__poly(c_COMBK(c_HOL_Ozero__class_Ozero(T_a),T_a,tc_nat),T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Osynthetic__divmod(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_c,T_a)=c_Pair(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(T_a),tc_Polynomial_Opoly(T_a),T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_b)|hAPP(hAPP(hAPP(V_f,c_HOL_Ozero__class_Ozero(T_b)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))),V_z)!=V_z|c_Polynomial_Opoly__rec(V_z,V_f,c_Polynomial_OpCons(V_a,V_p,T_b),T_a,T_b)=hAPP(hAPP(hAPP(V_f,V_a),V_p),c_Polynomial_Opoly__rec(V_z,V_f,V_p,T_a,T_b)).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|hAPP(c_Polynomial_Ocoeff(V_p,T_a),c_Polynomial_Odegree(V_p,T_a))!=c_HOL_Ozero__class_Ozero(T_a)|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|hAPP(c_Polynomial_Opoly(V_p,T_a),V_a)=c_HOL_Ozero__class_Ozero(T_a)|c_Polynomial_Oorder(V_a,V_p,T_a)=c_HOL_Ozero__class_Ozero(tc_nat).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(t_a)|v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__2(V_p)!=c_HOL_Ozero__class_Ozero(t_a)|c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(c_Polynomial_Opoly(V_p,t_a),t_a,t_a).
% 279.21/279.36 0 [] hAPP(c_Fun_Ocomp(V_f,V_g,T_c,T_b,t_a),v_x)=hAPP(V_f,hAPP(V_g,v_x)).
% 279.21/279.36 0 [] hAPP(c_Fun_Oid(t_a),v_x)=v_x.
% 279.21/279.36 0 [] hAPP(c_Fun_Ofcomp(V_f,V_g,t_a,T_c,T_b),v_x)=hAPP(V_g,hAPP(V_f,v_x)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Osmult(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Polynomial_Osmult(V_a,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a))=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_c,T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oordered__idom(T_a)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a))=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_HOL_Otimes__class_Otimes(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a))=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a))=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(V_a,V_p,T_a)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_x,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(V_p,V_h,T_a)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)| -class_HOL_Oe_q(T_a)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Polynomial_Opoly__gcd(V_x,V_y,T_a)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|V_y=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Polynomial_Opoly__gcd(V_x,V_y,T_a)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|V_x=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|hBOOL(hAPP(V_P,V_p))|hBOOL(hAPP(V_P,c_Polynomial_Osko__Polynomial__XpCons__induct__1__2(V_P,T_a)))| -hBOOL(hAPP(V_P,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)))).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|V_q=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))| -c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,V_r,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|V_r=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))| -c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,V_q,V_r,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|V_q=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))| -c_Polynomial_Opdivmod__rel(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_y,V_q,V_r,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)| -c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,V_r,T_a)|V_q=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|V_r=V_x| -c_Polynomial_Opdivmod__rel(V_x,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,V_r,T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ofield(T_a)|c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oordered__idom(T_a)| -c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a).
% 279.21/279.36 0 [] -class_OrderedGroup_Oab__group__add(T_a)|c_HOL_Ominus__class_Ominus(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a))=V_p.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_h,T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),V_q,tc_Polynomial_Opoly(T_a))=V_q.
% 279.21/279.36 0 [] -class_OrderedGroup_Ocomm__monoid__add(T_a)|c_HOL_Oplus__class_Oplus(V_p,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),tc_Polynomial_Opoly(T_a))=V_p.
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|hAPP(c_Polynomial_Opoly(c_Polynomial_Opcompose(V_p,V_q,T_a),T_a),V_x)=hAPP(c_Polynomial_Opoly(V_p,T_a),hAPP(c_Polynomial_Opoly(V_q,T_a),V_x)).
% 279.21/279.36 0 [] c_Complex_Oii!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] c_Complex_Ocnj(V_z)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|V_z=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] c_Complex_Ocnj(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(V_p)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(V_p,tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(V_p))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] hAPP(c_Polynomial_Opoly(V_p,tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__1(V_p))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(c_Polynomial_Opoly(V_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex,tc_Complex_Ocomplex).
% 279.21/279.36 0 [] hAPP(c_Polynomial_Opoly(V_p,tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2(V_p))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|V_p=c_Polynomial_OpCons(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1(V_p),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(t_a)|hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(V_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),t_a),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__3__1(V_c))!=c_HOL_Ozero__class_Ozero(t_a)|V_c=c_HOL_Ozero__class_Ozero(t_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Polynomial_Oorder(V_a,V_p,T_a)!=c_HOL_Ozero__class_Ozero(tc_nat)|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|hAPP(c_Polynomial_Opoly(V_p,T_a),V_a)!=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(t_a)|hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),t_a),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__5__1(c_HOL_Ozero__class_Ozero(t_a)))=c_HOL_Ozero__class_Ozero(t_a).
% 279.21/279.36 0 [] V_x=hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),V_x).
% 279.21/279.36 0 [] hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(V_a,c_Polynomial_OpCons(V_b,V_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv2__1(V_a,V_b,V_p))=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(T_a),V_p,T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(V_a,V_p,T_a)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|c_Polynomial_Osmult(V_a,V_p,T_a)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(T_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_Omonom(V_a,V_n,T_a)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a))|V_a=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_b)|hAPP(hAPP(hAPP(V_f,c_HOL_Ozero__class_Ozero(T_b)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b))),V_z)!=V_z|c_Polynomial_Opoly__rec(V_z,V_f,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_b)),T_a,T_b)=V_z.
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|c_Polynomial_Omonom(c_HOL_Ozero__class_Ozero(T_a),V_n,T_a)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_HOL_Ozero(T_a)|hAPP(c_Polynomial_Ocoeff(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),V_n)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(t_a)|v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2(V_p)!=c_HOL_Ozero__class_Ozero(t_a)|hAPP(c_Polynomial_Opoly(V_p,t_a),V_z)=c_HOL_Ozero__class_Ozero(t_a)|V_z=c_HOL_Ozero__class_Ozero(t_a).
% 279.21/279.36 0 [] hAPP(c_Polynomial_Opoly(V_p,tc_Complex_Ocomplex),V_x)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),V_p,tc_Complex_Ocomplex),tc_Complex_Ocomplex),V_x)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(hAPP(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),V_y),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),V_x)=hAPP(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),V_x).
% 279.21/279.36 0 [] hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(V_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),V_x)=V_c.
% 279.21/279.36 0 [] V_c=hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(V_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),V_x).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(t_a)|hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(t_a),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),t_a),V_x)=c_HOL_Ozero__class_Ozero(t_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(t_a)|hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(V_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),t_a),V_x)!=c_HOL_Ozero__class_Ozero(t_a)|V_c=c_HOL_Ozero__class_Ozero(t_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(t_a)|hAPP(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),t_a),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__4__1)=c_HOL_Ozero__class_Ozero(t_a).
% 279.21/279.36 0 [] hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),tc_Complex_Ocomplex),V_x)=hAPP(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),V_x).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Oring__char__0(T_a)|c_Polynomial_Opoly(V_p,T_a)!=c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a)|V_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)| -class_Int_Oring__char__0(T_a)|c_Polynomial_Opoly(V_p,T_a)!=c_Polynomial_Opoly(V_q,T_a)|V_p=V_q.
% 279.21/279.36 0 [] c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)=hAPP(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),V_x).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|hAPP(c_Polynomial_Opoly(V_p,T_a),V_x)!=c_HOL_Ozero__class_Ozero(T_a)|hAPP(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),V_x)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] v_p!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex)=c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex).
% 279.21/279.36 0 [] c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex)!=c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)|v_p=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)).
% 279.21/279.36 0 [] -class_Ring__and__Field_Ocomm__semiring__0(T_a)|hAPP(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),V_x)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] -class_Ring__and__Field_Oidom(T_a)|hAPP(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(T_a)),T_a),V_a)=c_HOL_Ozero__class_Ozero(T_a).
% 279.21/279.36 0 [] hAPP(c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),V_x)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] hAPP(c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex),v_x)!=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex)!=c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex).
% 279.21/279.36 0 [] c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex)=c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(v_p,tc_Complex_Ocomplex),V_xa)=c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocancel__comm__monoid__add(T_1).
% 279.21/279.36 0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat).
% 279.21/279.36 0 [] class_HOL_Oe_q(tc_prod(T_2,T_1)).
% 279.21/279.36 0 [] class_Lattices_Oupper__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 279.21/279.36 0 [] class_Lattices_Olower__semilattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 279.21/279.36 0 [] class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1))| -class_Lattices_Odistrib__lattice(T_1).
% 279.21/279.36 0 [] class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1))| -class_Lattices_Oboolean__algebra(T_1).
% 279.21/279.36 0 [] class_Lattices_Olattice(tc_fun(T_2,T_1))| -class_Lattices_Olattice(T_1).
% 279.21/279.36 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat).
% 279.21/279.36 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_nat).
% 279.21/279.36 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_nat).
% 279.21/279.36 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_nat).
% 279.21/279.36 0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_nat).
% 279.21/279.36 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_nat).
% 279.21/279.36 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_nat).
% 279.21/279.36 0 [] class_OrderedGroup_Oab__semigroup__add(tc_nat).
% 279.21/279.36 0 [] class_Ring__and__Field_Ocomm__semiring(tc_nat).
% 279.21/279.36 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_nat).
% 279.21/279.36 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_nat).
% 279.21/279.36 0 [] class_Lattices_Oupper__semilattice(tc_nat).
% 279.21/279.36 0 [] class_Lattices_Olower__semilattice(tc_nat).
% 279.21/279.36 0 [] class_Ring__and__Field_Omult__zero(tc_nat).
% 279.21/279.36 0 [] class_OrderedGroup_Omonoid__mult(tc_nat).
% 279.21/279.36 0 [] class_Lattices_Odistrib__lattice(tc_nat).
% 279.21/279.36 0 [] class_Ring__and__Field_Osemiring(tc_nat).
% 279.21/279.36 0 [] class_OrderedGroup_Omonoid__add(tc_nat).
% 279.21/279.36 0 [] class_Ring__and__Field_Odvd(tc_nat).
% 279.21/279.36 0 [] class_Lattices_Olattice(tc_nat).
% 279.21/279.36 0 [] class_HOL_Ozero(tc_nat).
% 279.21/279.36 0 [] class_HOL_Oe_q(tc_nat).
% 279.21/279.36 0 [] class_Lattices_Oupper__semilattice(tc_bool).
% 279.21/279.36 0 [] class_Lattices_Olower__semilattice(tc_bool).
% 279.21/279.36 0 [] class_Lattices_Odistrib__lattice(tc_bool).
% 279.21/279.36 0 [] class_Lattices_Oboolean__algebra(tc_bool).
% 279.21/279.36 0 [] class_Lattices_Olattice(tc_bool).
% 279.21/279.36 0 [] class_HOL_Oe_q(tc_bool).
% 279.21/279.36 0 [] class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_OrderedGroup_Olordered__ab__group__add__join(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_RealVector_Oreal__normed__field(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Lattices_Oupper__semilattice(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Lattices_Olower__semilattice(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Lattices_Odistrib__lattice(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Osemiring(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_RealVector_Oreal__algebra(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_RealVector_Oreal__vector(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Osgn__if(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_RealVector_Oreal__field(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Ofield(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Oring(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Oidom(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Odvd(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Lattices_Olattice(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Int_Oring__char__0(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Int_Onumber__ring(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_SEQ_Obanach(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_HOL_Ozero(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_HOL_Oe_q(tc_RealDef_Oreal).
% 279.21/279.36 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex).
% 279.21/279.36 0 [] class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_RealVector_Oreal__algebra(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_RealVector_Oreal__vector(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_RealVector_Oreal__field(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_Ring__and__Field_Ofield(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_Ring__and__Field_Oring(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_Ring__and__Field_Oidom(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_Ring__and__Field_Odvd(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_Int_Oring__char__0(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_Int_Onumber__ring(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_SEQ_Obanach(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_HOL_Ozero(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_HOL_Oe_q(tc_Complex_Ocomplex).
% 279.21/279.37 0 [] class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 279.21/279.37 0 [] class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocancel__comm__monoid__add(T_1).
% 279.21/279.37 0 [] class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 279.21/279.37 0 [] class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 279.21/279.37 0 [] class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocancel__comm__monoid__add(T_1).
% 279.21/279.37 0 [] class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 279.21/279.37 0 [] class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 279.21/279.37 0 [] class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 279.21/279.37 0 [] class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 279.21/279.37 0 [] class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 279.21/279.37 0 [] class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocomm__monoid__add(T_1).
% 279.21/279.37 0 [] class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 279.21/279.37 0 [] class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocomm__monoid__add(T_1).
% 279.21/279.37 0 [] class_Ring__and__Field_Ozero__ne_q__one(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 279.21/279.37 0 [] class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 279.21/279.37 0 [] class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring__1(T_1).
% 279.21/279.37 0 [] class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Oab__group__add(T_1).
% 279.21/279.37 0 [] class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 279.21/279.37 0 [] class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring(T_1).
% 279.21/279.37 0 [] class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 279.21/279.37 0 [] class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__0(T_1).
% 279.21/279.37 0 [] class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Ocomm__monoid__add(T_1).
% 279.21/279.37 0 [] class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(T_1))| -class_OrderedGroup_Oab__group__add(T_1).
% 279.21/279.37 0 [] class_Ring__and__Field_Osgn__if(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 279.21/279.37 0 [] class_Ring__and__Field_Oring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring(T_1).
% 279.21/279.37 0 [] class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oidom(T_1).
% 279.21/279.37 0 [] class_Ring__and__Field_Odvd(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__semiring__1(T_1).
% 279.21/279.37 0 [] class_Int_Oring__char__0(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Oordered__idom(T_1).
% 279.21/279.37 0 [] class_Int_Onumber__ring(tc_Polynomial_Opoly(T_1))| -class_Ring__and__Field_Ocomm__ring__1(T_1).
% 279.21/279.37 0 [] class_HOL_Ozero(tc_Polynomial_Opoly(T_1))| -class_HOL_Ozero(T_1).
% 279.21/279.37 0 [] class_HOL_Oe_q(tc_Polynomial_Opoly(T_1))| -class_HOL_Ozero(T_1)| -class_HOL_Oe_q(T_1).
% 279.21/279.37 0 [] hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_x),V_x)).
% 279.21/279.37 0 [] V_X=V_Y| -hBOOL(hAPP(hAPP(c_fe_qual(T_a),V_X),V_Y)).
% 279.21/279.37 end_of_list.
% 279.21/279.37
% 279.21/279.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 279.21/279.37
% 279.21/279.37 This ia a non-Horn set with equality. The strategy will be
% 279.21/279.37 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 279.21/279.37 deletion, with positive clauses in sos and nonpositive
% 279.21/279.37 clauses in usable.
% 279.21/279.37
% 279.21/279.37 dependent: set(knuth_bendix).
% 279.21/279.37 dependent: set(anl_eq).
% 279.21/279.37 dependent: set(para_from).
% 279.21/279.37 dependent: set(para_into).
% 279.21/279.37 dependent: clear(para_from_right).
% 279.21/279.37 dependent: clear(para_into_right).
% 279.21/279.37 dependent: set(para_from_vars).
% 279.21/279.37 dependent: set(eq_units_both_ways).
% 279.21/279.37 dependent: set(dynamic_demod_all).
% 279.21/279.37 dependent: set(dynamic_demod).
% 279.21/279.37 dependent: set(order_eq).
% 279.21/279.37 dependent: set(back_demod).
% 279.21/279.37 dependent: set(lrpo).
% 279.21/279.37 dependent: set(hyper_res).
% 279.21/279.37 dependent: set(unit_deletion).
% 279.21/279.37 dependent: set(factor).
% 279.21/279.37
% 279.21/279.37 ------------> process usable:
% 279.21/279.37 ** KEPT (pick-wt=25): 1 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,E,A),A).
% 279.21/279.37 ** KEPT (pick-wt=13): 3 [copy,2,flip.2] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Osgn__class_Osgn(B,A),A)=c_HOL_Osgn__class_Osgn(c_HOL_Ouminus__class_Ouminus(B,A),A).
% 279.21/279.37 ** KEPT (pick-wt=15): 4 [] -class_Ring__and__Field_Oring(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=15): 5 [] -class_Ring__and__Field_Oring(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=11): 7 [copy,6,flip.3] -class_HOL_Ozero(A)| -class_HOL_Oe_q(A)|c_fe_qual(tc_Polynomial_Opoly(A))=c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)).
% 279.21/279.37 ** KEPT (pick-wt=7): 9 [copy,8,flip.2] -class_HOL_Oe_q(A)|c_fe_qual(A)=c_HOL_Oe_q__class_Oe_q(A).
% 279.21/279.37 ** KEPT (pick-wt=14): 10 [] -class_OrderedGroup_Oab__semigroup__idem__mult(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=25): 11 [] -class_HOL_Ozero(A)| -class_HOL_Oe_q(A)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(A),c_HOL_Ozero__class_Ozero(A)),B))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))),c_Polynomial_OpCons(B,C,A))).
% 279.21/279.37 ** KEPT (pick-wt=27): 12 [] -class_HOL_Ozero(A)| -class_HOL_Oe_q(A)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))),B))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))),c_Polynomial_OpCons(C,B,A))).
% 279.21/279.37 ** KEPT (pick-wt=7): 13 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Oone__class_Oone(A),B,A).
% 279.21/279.37 ** KEPT (pick-wt=13): 14 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),C,A),A)=C.
% 279.21/279.37 ** KEPT (pick-wt=12): 15 [] -class_OrderedGroup_Oab__group__add(A)|c_Polynomial_Odegree(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),A)=c_Polynomial_Odegree(B,A).
% 279.21/279.37 ** KEPT (pick-wt=20): 16 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=20): 17 [] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=13): 18 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 279.21/279.37 ** KEPT (pick-wt=13): 19 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=13): 20 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=13): 21 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(D,B,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=14): 22 [] -class_HOL_Ozero(A)|c_Polynomial_OpCons(B,C,A)!=c_Polynomial_OpCons(D,E,A)|C=E.
% 279.21/279.37 ** KEPT (pick-wt=14): 23 [] -class_HOL_Ozero(A)|c_Polynomial_OpCons(B,C,A)!=c_Polynomial_OpCons(D,E,A)|B=D.
% 279.21/279.37 ** KEPT (pick-wt=35): 24 [] -class_HOL_Ozero(A)| -class_HOL_Oe_q(A)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))),c_Polynomial_OpCons(B,C,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))),C))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(A),c_HOL_Ozero__class_Ozero(A)),B)).
% 279.21/279.37 ** KEPT (pick-wt=14): 25 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(C,c_HOL_Ozero__class_Ozero(A),A),A).
% 279.21/279.37 ** KEPT (pick-wt=14): 26 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=14): 27 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(D,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 279.21/279.37 ** KEPT (pick-wt=6): 28 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,B,A).
% 279.21/279.37 ** KEPT (pick-wt=20): 29 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(B,C,A),c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=20): 30 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_RealVector_OscaleR__class_OscaleR(B,C,A),c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=11): 31 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=B.
% 279.21/279.37 ** KEPT (pick-wt=24): 32 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(c_Polynomial_Ocoeff(c_HOL_Ominus__class_Ominus(B,C,tc_Polynomial_Opoly(A)),A),D)=c_HOL_Ominus__class_Ominus(hAPP(c_Polynomial_Ocoeff(B,A),D),hAPP(c_Polynomial_Ocoeff(C,A),D),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 33 [] -class_Ring__and__Field_Ofield(A)|B=C| -c_Polynomial_Opdivmod__rel(D,E,F,C,A)| -c_Polynomial_Opdivmod__rel(D,E,G,B,A).
% 279.21/279.37 ** KEPT (pick-wt=17): 34 [] -class_Ring__and__Field_Ofield(A)|B=C| -c_Polynomial_Opdivmod__rel(D,E,C,F,A)| -c_Polynomial_Opdivmod__rel(D,E,B,G,A).
% 279.21/279.37 ** KEPT (pick-wt=12): 35 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 279.21/279.37 ** KEPT (pick-wt=12): 36 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 279.21/279.37 ** KEPT (pick-wt=15): 38 [copy,37,flip.3] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(C,B,A),B,A)=C.
% 279.21/279.37 Following clause subsumed by 38 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(C,B,A),B,A)=C.
% 279.21/279.37 Following clause subsumed by 38 during input processing: 0 [flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 Following clause subsumed by 38 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=23): 39 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(D,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),E,A),A).
% 279.21/279.37 ** KEPT (pick-wt=23): 40 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,c_HOL_Otimes__class_Otimes(D,E,A),A),A).
% 279.21/279.37 ** KEPT (pick-wt=23): 41 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,E,A),A).
% 279.21/279.37 ** KEPT (pick-wt=15): 42 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_HOL_Ouminus__class_Ouminus(B,A),A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=17): 43 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 44 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 45 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(C,c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 46 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),D,A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=9): 47 [] -class_HOL_Ozero(A)|c_Polynomial_OAbs__poly(c_Polynomial_Ocoeff(B,A),A)=B.
% 279.21/279.37 ** KEPT (pick-wt=12): 48 [] -class_Ring__and__Field_Oidom(A)|c_Polynomial_Odegree(c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(A),B,A),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 279.21/279.37 ** KEPT (pick-wt=22): 49 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(B,C,A),c_Polynomial_OpCons(D,C,A),tc_Polynomial_Opoly(A))!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))|C=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 279.21/279.37 ** KEPT (pick-wt=20): 51 [copy,50,flip.2] -class_Ring__and__Field_Ofield(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,D,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=20): 53 [copy,52,flip.2] -class_RealVector_Oreal__normed__field(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,D,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=23): 54 [] -class_Ring__and__Field_Ofield(A)|c_Polynomial_Opdivmod__rel(c_Polynomial_Osmult(B,C,A),D,c_Polynomial_Osmult(B,E,A),c_Polynomial_Osmult(B,F,A),A)| -c_Polynomial_Opdivmod__rel(C,D,E,F,A).
% 279.21/279.37 ** KEPT (pick-wt=17): 55 [] -class_Ring__and__Field_Ocomm__ring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ominus__class_Ominus(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=19): 56 [] -class_Ring__and__Field_Oidom(A)|c_HOL_Otimes__class_Otimes(B,B,A)!=c_HOL_Otimes__class_Otimes(C,C,A)|B=c_HOL_Ouminus__class_Ouminus(C,A)|B=C.
% 279.21/279.37 ** KEPT (pick-wt=21): 57 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(B,C,A),D,A)=c_Polynomial_OpCons(hAPP(c_Polynomial_Opoly(C,A),D),c_Polynomial_Osynthetic__div(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=19): 58 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Polynomial_OpCons(B,C,A),tc_Polynomial_Opoly(A))=c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(A)),A).
% 279.21/279.37 ** KEPT (pick-wt=19): 59 [] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),E,tc_Polynomial_Opoly(A))| -c_Polynomial_Opdivmod__rel(B,D,C,E,A).
% 279.21/279.37 ** KEPT (pick-wt=26): 60 [] -class_Ring__and__Field_Ofield(A)|hAPP(c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),A),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),A))=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=21): 61 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(B,D,A),c_Polynomial_Osmult(C,D,A),tc_Polynomial_Opoly(A)).
% 279.21/279.37 ** KEPT (pick-wt=22): 62 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Osmult(B,c_HOL_Oplus__class_Oplus(C,D,tc_Polynomial_Opoly(A)),A)=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(B,C,A),c_Polynomial_Osmult(B,D,A),tc_Polynomial_Opoly(A)).
% 279.21/279.37 ** KEPT (pick-wt=17): 64 [copy,63,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_HOL_Oplus__class_Oplus(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=33): 65 [] -class_HOL_Ozero(A)| -class_HOL_Oe_q(A)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),c_Polynomial_OpCons(B,C,A)),c_Polynomial_OpCons(D,E,A)))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),C),E))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(A),B),D)).
% 279.21/279.37 ** KEPT (pick-wt=16): 66 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Oring__char__0(A)|c_Polynomial_Odegree(B,A)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(c_Polynomial_Opoly(B,A),A,A).
% 279.21/279.37 ** KEPT (pick-wt=16): 67 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Oring__char__0(A)|c_Polynomial_Odegree(B,A)=c_HOL_Ozero__class_Ozero(tc_nat)| -c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(c_Polynomial_Opoly(B,A),A,A).
% 279.21/279.37 ** KEPT (pick-wt=15): 69 [copy,68,flip.2] -class_RealVector_Oreal__vector(A)|c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(B,C,A),A)=c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=15): 71 [copy,70,flip.2] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Ouminus__class_Ouminus(c_RealVector_OscaleR__class_OscaleR(B,C,A),A)=c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=26): 72 [] -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(D,B,A),C,A),E,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(D,C,A),E,A).
% 279.21/279.37 ** KEPT (pick-wt=19): 73 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|hAPP(c_Polynomial_Opoly(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(B,C,A),A),D)=hAPP(c_Polynomial_Opoly(B,A),c_HOL_Oplus__class_Oplus(C,D,A)).
% 279.21/279.37 ** KEPT (pick-wt=12): 74 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(B,C,A),A)=c_Polynomial_Odegree(B,A).
% 279.21/279.37 ** KEPT (pick-wt=19): 75 [] -class_SEQ_Obanach(A)| -class_RealVector_Oreal__normed__field(A)|c_Transcendental_Oexp(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_Transcendental_Oexp(B,A),c_Transcendental_Oexp(C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=9): 76 [] -class_OrderedGroup_Omonoid__mult(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oone__class_Oone(A),A)=B.
% 279.21/279.37 ** KEPT (pick-wt=9): 77 [] -class_OrderedGroup_Omonoid__mult(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 279.21/279.37 ** KEPT (pick-wt=9): 78 [] -class_OrderedGroup_Ocomm__monoid__mult(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 279.21/279.37 ** KEPT (pick-wt=9): 79 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 279.21/279.37 ** KEPT (pick-wt=9): 80 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oone__class_Oone(A),A)=B.
% 279.21/279.37 Following clause subsumed by 79 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(A),B,A)=B.
% 279.21/279.37 ** KEPT (pick-wt=9): 81 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(C,B,A),A).
% 279.21/279.37 ** KEPT (pick-wt=9): 82 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(B,C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=9): 83 [] -class_Ring__and__Field_Odvd(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Otimes__class_Otimes(B,C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=15): 84 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A))| -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(D,B,A),C,tc_Polynomial_Opoly(A)).
% 279.21/279.37 ** KEPT (pick-wt=15): 85 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Osmult(C,D,A),tc_Polynomial_Opoly(A))| -c_Ring__and__Field_Odvd__class_Odvd(B,D,tc_Polynomial_Opoly(A)).
% 279.21/279.37 ** KEPT (pick-wt=19): 86 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(B,c_HOL_Ouminus__class_Ouminus(C,A),A)|C=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=25): 87 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 279.21/279.37 Following clause subsumed by 87 during input processing: 0 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(B,C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 88 [] -class_Ring__and__Field_Ofield(A)|c_Polynomial_Opoly__gcd(B,c_Polynomial_Opoly__gcd(C,D,A),A)=c_Polynomial_Opoly__gcd(C,c_Polynomial_Opoly__gcd(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 89 [] -class_Ring__and__Field_Ofield(A)|c_Polynomial_Opoly__gcd(c_Polynomial_Opoly__gcd(B,C,A),D,A)=c_Polynomial_Opoly__gcd(B,c_Polynomial_Opoly__gcd(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=11): 90 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,C,A),C,A)=B.
% 279.21/279.37 ** KEPT (pick-wt=27): 92 [copy,91,flip.2] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(B,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(C,B,A),A),c_Polynomial_OpCons(D,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(C,B,A),A),tc_Polynomial_Opoly(A))=c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(D,C,A),B,A).
% 279.21/279.37 ** KEPT (pick-wt=20): 94 [copy,93,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(D,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=20): 96 [copy,95,flip.2] -class_Lattices_Odistrib__lattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),c_Lattices_Olower__semilattice__class_Oinf(B,D,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=14): 97 [] -class_Ring__and__Field_Ofield(A)|c_Polynomial_Opoly__gcd(B,c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(A)),A)=c_Polynomial_Opoly__gcd(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=14): 98 [] -class_Ring__and__Field_Ofield(A)|c_Polynomial_Opoly__gcd(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),C,A)=c_Polynomial_Opoly__gcd(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=11): 99 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 279.21/279.37 Following clause subsumed by 99 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,C,A)=c_HOL_Otimes__class_Otimes(C,B,A).
% 279.21/279.37 ** KEPT (pick-wt=20): 101 [copy,100,flip.2] -class_OrderedGroup_Olordered__ab__group__add__join(A)|c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)=c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=20): 103 [copy,102,flip.2] -class_OrderedGroup_Olordered__ab__group__add__join(A)|c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)=c_HOL_Oplus__class_Oplus(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=20): 105 [copy,104,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)=c_HOL_Oplus__class_Oplus(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=20): 107 [copy,106,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)=c_HOL_Oplus__class_Oplus(c_Lattices_Oupper__semilattice__class_Osup(B,D,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=8): 108 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,B,A)=B.
% 279.21/279.37 ** KEPT (pick-wt=19): 109 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|hAPP(c_Polynomial_Ocoeff(c_Polynomial_Osmult(B,C,A),A),D)=c_HOL_Otimes__class_Otimes(B,hAPP(c_Polynomial_Ocoeff(C,A),D),A).
% 279.21/279.37 ** KEPT (pick-wt=16): 110 [] -class_HOL_Ozero(A)|hAPP(c_Polynomial_Ocoeff(c_Polynomial_Omonom(B,C,A),A),D)=c_HOL_Ozero__class_Ozero(A)|C=D.
% 279.21/279.37 ** KEPT (pick-wt=17): 111 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Oplus__class_Oplus(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 112 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 114 [copy,113,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 115 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Oplus__class_Oplus(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 116 [] -class_OrderedGroup_Oab__semigroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 279.21/279.37 Following clause subsumed by 114 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 117 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=17): 118 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Oplus__class_Oplus(B,D,A),A).
% 279.21/279.37 Following clause subsumed by 114 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=13): 119 [] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A).
% 279.21/279.37 Following clause subsumed by 119 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 Following clause subsumed by 119 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,B,A)=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=14): 120 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)!=c_HOL_Ominus__class_Ominus(C,D,A)|C=D.
% 279.21/279.37 ** KEPT (pick-wt=14): 121 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,C,A)!=c_HOL_Ominus__class_Ominus(D,D,A)|B=C.
% 279.21/279.37 ** KEPT (pick-wt=13): 123 [copy,122,flip.2] -class_Lattices_Oboolean__algebra(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=17): 124 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 125 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 126 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A)=c_Lattices_Oupper__semilattice__class_Osup(C,c_Lattices_Oupper__semilattice__class_Osup(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 127 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),D,A)=c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 128 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=12): 130 [copy,129,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oplus__class_Oplus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A),c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A),A)=B.
% 279.21/279.37 ** KEPT (pick-wt=26): 131 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,D,A),A)!=c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(C,E,A),A)|D=E|C=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=19): 132 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=19): 133 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,B,A),c_HOL_Otimes__class_Otimes(C,C,A),A)!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=15): 134 [] -class_Ring__and__Field_Oordered__idom(A)|c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),A)| -c_Polynomial_Opos__poly(C,A)| -c_Polynomial_Opos__poly(B,A).
% 279.21/279.37 ** KEPT (pick-wt=20): 135 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Osmult(B,c_Polynomial_OpCons(C,D,A),A)=c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(B,C,A),c_Polynomial_Osmult(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=8): 136 [] -class_OrderedGroup_Oab__semigroup__idem__mult(A)|c_HOL_Otimes__class_Otimes(B,B,A)=B.
% 279.21/279.37 ** KEPT (pick-wt=14): 137 [] c_Pair(A,B,C,D)!=c_Pair(E,F,C,D)|B=F.
% 279.21/279.37 ** KEPT (pick-wt=14): 138 [] c_Pair(A,B,C,D)!=c_Pair(E,F,C,D)|A=E.
% 279.21/279.37 ** KEPT (pick-wt=14): 140 [copy,139,flip.2] -class_HOL_Ozero(A)|c_Polynomial_OpCons(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A)=c_Polynomial_Omonom(B,c_HOL_Ozero__class_Ozero(tc_nat),A).
% 279.21/279.37 ** KEPT (pick-wt=28): 141 [] hAPP(A,hAPP(B,C))!=hAPP(D,hAPP(E,F))|hAPP(c_Fun_Ocomp(A,B,G,H,I),C)=hAPP(c_Fun_Ocomp(D,E,J,H,K),F).
% 279.21/279.37 ** KEPT (pick-wt=24): 142 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(F,G,H,D,E)|hAPP(A,hAPP(B,I))=hAPP(F,hAPP(G,I)).
% 279.21/279.37 ** KEPT (pick-wt=12): 143 [] -class_HOL_Ozero(A)|c_Polynomial_Ocoeff(B,A)!=c_Polynomial_Ocoeff(C,A)|B=C.
% 279.21/279.37 ** KEPT (pick-wt=16): 144 [] -class_Ring__and__Field_Oidom(A)|c_Polynomial_Odegree(c_Polynomial_Osmult(B,C,A),A)=c_Polynomial_Odegree(C,A)|B=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=28): 145 [] -class_Ring__and__Field_Odvd(A)| -class_Ring__and__Field_Ocomm__ring(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(C,c_HOL_Otimes__class_Otimes(D,E,A),A),F,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(C,F,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,E,A).
% 279.21/279.37 ** KEPT (pick-wt=28): 146 [] -class_Ring__and__Field_Odvd(A)| -class_Ring__and__Field_Ocomm__ring(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(C,c_HOL_Otimes__class_Otimes(E,F,A),A),D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,F,A).
% 279.21/279.37 ** KEPT (pick-wt=19): 147 [] -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(B,C,A),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A))| -c_Ring__and__Field_Odvd__class_Odvd(C,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).
% 279.21/279.37 ** KEPT (pick-wt=16): 148 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,C,A)!=c_HOL_Oone__class_Oone(A)|C=c_HOL_Ozero__class_Ozero(A)|B=C.
% 279.21/279.37 ** KEPT (pick-wt=13): 149 [] -class_Int_Onumber__ring(A)|c_HOL_Ouminus__class_Ouminus(B,A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(A),A),B,A).
% 279.21/279.37 ** KEPT (pick-wt=17): 150 [] -class_OrderedGroup_Oab__semigroup__mult(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 151 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=17): 152 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 279.21/279.37 Following clause subsumed by 152 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 153 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(C,c_HOL_Otimes__class_Otimes(B,D,A),A).
% 279.21/279.37 Following clause subsumed by 152 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Otimes__class_Otimes(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=20): 154 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=20): 155 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 279.21/279.37 Following clause subsumed by 155 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=20): 156 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 279.21/279.37 Following clause subsumed by 156 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=25): 157 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),D,tc_Polynomial_Opoly(A))=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,tc_Polynomial_Opoly(A)),c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).
% 279.21/279.37 ** KEPT (pick-wt=20): 158 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=20): 159 [] -class_Ring__and__Field_Ocomm__semiring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=18): 160 [] -class_OrderedGroup_Oab__group__add(A)|hAPP(c_Polynomial_Ocoeff(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),A),C)=c_HOL_Ouminus__class_Ouminus(hAPP(c_Polynomial_Ocoeff(B,A),C),A).
% 279.21/279.37 ** KEPT (pick-wt=19): 161 [] -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(B,C,A),D,tc_Polynomial_Opoly(A))| -c_Ring__and__Field_Odvd__class_Odvd(C,D,tc_Polynomial_Opoly(A))|B=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=19): 162 [] -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A))|D=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(D,B,A),C,tc_Polynomial_Opoly(A)).
% 279.21/279.37 ** KEPT (pick-wt=19): 163 [] -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Osmult(C,D,A),tc_Polynomial_Opoly(A))| -c_Ring__and__Field_Odvd__class_Odvd(B,D,tc_Polynomial_Opoly(A))|C=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=19): 164 [] -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A))| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Osmult(D,C,A),tc_Polynomial_Opoly(A))|D=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 Following clause subsumed by 161 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Osmult(B,C,A),D,tc_Polynomial_Opoly(A))|B=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(C,D,tc_Polynomial_Opoly(A)).
% 279.21/279.37 Following clause subsumed by 164 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A))|D=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Osmult(D,C,A),tc_Polynomial_Opoly(A)).
% 279.21/279.37 ** KEPT (pick-wt=17): 165 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=15): 166 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=16): 167 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Osmult(B,C,A)!=c_Polynomial_OpCons(D,C,A)|C=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 279.21/279.37 ** KEPT (pick-wt=12): 168 [] -class_HOL_Ozero(A)| -class_HOL_Oe_q(A)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),B),B)).
% 279.21/279.37 ** KEPT (pick-wt=9): 169 [] -class_HOL_Oe_q(A)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(A),B),B)).
% 279.21/279.37 Following clause subsumed by 154 during input processing: 0 [flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,D,A),C,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=37): 170 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A),c_HOL_Otimes__class_Otimes(C,E,A),A)|E=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=15): 172 [copy,171,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 279.21/279.37 Following clause subsumed by 172 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=15): 174 [copy,173,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 279.21/279.37 Following clause subsumed by 174 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=15): 175 [] -class_Ring__and__Field_Oidom(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Otimes__class_Otimes(B,B,A).
% 279.21/279.37 ** KEPT (pick-wt=15): 176 [] -class_Ring__and__Field_Oring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Otimes__class_Otimes(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=25): 178 [copy,177,flip.2] -class_OrderedGroup_Oab__group__add(A)|c_Polynomial_OpCons(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ominus__class_Ominus(D,E,tc_Polynomial_Opoly(A)),A)=c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(B,D,A),c_Polynomial_OpCons(C,E,A),tc_Polynomial_Opoly(A)).
% 279.21/279.37 ** KEPT (pick-wt=11): 179 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Osgn__class_Osgn(c_HOL_Osgn__class_Osgn(B,A),A)=c_HOL_Osgn__class_Osgn(B,A).
% 279.21/279.37 ** KEPT (pick-wt=17): 180 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Osmult(B,c_Polynomial_Omonom(C,D,A),A)=c_Polynomial_Omonom(c_HOL_Otimes__class_Otimes(B,C,A),D,A).
% 279.21/279.37 ** KEPT (pick-wt=13): 181 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Onprt(B,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 182 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 183 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=9): 184 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Polynomial_Osmult(c_HOL_Oone__class_Oone(A),B,A)=B.
% 279.21/279.37 ** KEPT (pick-wt=17): 185 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Oplus__class_Oplus(C,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=23): 186 [] -class_Ring__and__Field_Ofield(A)|hAPP(c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(B,C,A),A),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(B,C,A),A))=c_HOL_Oone__class_Oone(A)|C=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 279.21/279.37 ** KEPT (pick-wt=23): 187 [] -class_Ring__and__Field_Ofield(A)|hAPP(c_Polynomial_Ocoeff(c_Polynomial_Opoly__gcd(B,C,A),A),c_Polynomial_Odegree(c_Polynomial_Opoly__gcd(B,C,A),A))=c_HOL_Oone__class_Oone(A)|B=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 279.21/279.37 ** KEPT (pick-wt=11): 188 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ouminus__class_Ouminus(B,A).
% 279.21/279.37 ** KEPT (pick-wt=14): 189 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A))=c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)).
% 279.21/279.37 ** KEPT (pick-wt=18): 190 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(c_Polynomial_OpCons(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),C,A)=c_Polynomial_OpCons(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A).
% 279.21/279.37 ** KEPT (pick-wt=26): 191 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(D,C,A),A),C,A)|C=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=26): 192 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oinverse__class_Odivide(C,D,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(C,c_HOL_Otimes__class_Otimes(B,D,A),A),D,A)|D=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=23): 193 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,E,A),A).
% 279.21/279.37 ** KEPT (pick-wt=13): 195 [copy,194,flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=13): 197 [copy,196,flip.2] -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=13): 199 [copy,198,flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 279.21/279.37 Following clause subsumed by 195 during input processing: 0 [flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Ominus__class_Ominus(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=19): 200 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Oinverse__class_Odivide(B,C,A)|C=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=12): 201 [] -class_Ring__and__Field_Ocomm__ring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=12): 202 [] -class_Ring__and__Field_Ocomm__ring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ouminus__class_Ouminus(C,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=12): 203 [] -class_Ring__and__Field_Ocomm__ring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=12): 204 [] -class_Ring__and__Field_Ocomm__ring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ouminus__class_Ouminus(B,A),C,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=21): 205 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(c_Polynomial_Omonom(B,C,A),c_Polynomial_Omonom(D,C,A),tc_Polynomial_Opoly(A))=c_Polynomial_Omonom(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 279.21/279.37 Following clause subsumed by 9 during input processing: 0 [] -class_HOL_Oe_q(A)|c_fe_qual(A)=c_HOL_Oe_q__class_Oe_q(A).
% 279.21/279.37 ** KEPT (pick-wt=9): 206 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Oone__class_Oone(A),A)=B.
% 279.21/279.37 ** KEPT (pick-wt=16): 207 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 279.21/279.37 ** KEPT (pick-wt=14): 208 [] -class_OrderedGroup_Ocancel__ab__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 279.21/279.37 ** KEPT (pick-wt=14): 209 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(B,D,A)|C=D.
% 279.21/279.37 ** KEPT (pick-wt=14): 210 [] -class_OrderedGroup_Ocancel__semigroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Oplus__class_Oplus(D,C,A)|B=D.
% 279.21/279.37 ** KEPT (pick-wt=16): 211 [] -class_Ring__and__Field_Oordered__idom(A)|c_Polynomial_Opos__poly(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),A)|c_Polynomial_Opos__poly(B,A)|B=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 279.21/279.37 ** KEPT (pick-wt=24): 212 [] -class_OrderedGroup_Ocomm__monoid__add(A)|hAPP(c_Polynomial_Ocoeff(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),A),D)=c_HOL_Oplus__class_Oplus(hAPP(c_Polynomial_Ocoeff(B,A),D),hAPP(c_Polynomial_Ocoeff(C,A),D),A).
% 279.21/279.37 ** KEPT (pick-wt=16): 213 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Polynomial_Omonom(B,C,A),tc_Polynomial_Opoly(A))=c_Polynomial_Omonom(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=20): 215 [copy,214,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)=c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(B,D,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=20): 217 [copy,216,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)=c_HOL_Oplus__class_Oplus(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=20): 219 [copy,218,flip.2] -class_OrderedGroup_Olordered__ab__group__add__meet(A)|c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(B,D,A),A)=c_HOL_Oplus__class_Oplus(B,c_Lattices_Olower__semilattice__class_Oinf(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=20): 221 [copy,220,flip.2] -class_OrderedGroup_Olordered__ab__group__add__meet(A)|c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,C,A),A)=c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(B,D,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=17): 223 [copy,222,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A).
% 279.21/279.37 Following clause subsumed by 223 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A).
% 279.21/279.37 ** KEPT (pick-wt=17): 225 [copy,224,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 279.21/279.37 Following clause subsumed by 225 during input processing: 0 [flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_RealVector_OscaleR__class_OscaleR(C,c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Otimes__class_Otimes(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 227 [copy,226,flip.2] -class_RealVector_Oreal__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A).
% 279.21/279.37 ** KEPT (pick-wt=17): 229 [copy,228,flip.2] -class_RealVector_Oreal__algebra(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Otimes__class_Otimes(C,D,A),A)=c_HOL_Otimes__class_Otimes(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=12): 230 [] -class_HOL_Ozero(A)|hAPP(c_Polynomial_Ocoeff(c_Polynomial_Omonom(B,C,A),A),C)=B.
% 279.21/279.37 ** KEPT (pick-wt=19): 232 [copy,231,flip.3] -class_SEQ_Obanach(A)| -class_RealVector_Oreal__normed__field(A)|c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(B,A),c_Transcendental_Oexp(C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=15): 234 [copy,233,flip.2] -class_RealVector_Oreal__normed__field(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(B,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 279.21/279.37 ** KEPT (pick-wt=41): 236 [copy,235,flip.2] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ominus__class_Ominus(D,E,A),A),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),E,A),A),c_HOL_Otimes__class_Otimes(C,c_HOL_Ominus__class_Ominus(D,E,A),A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,E,A),A).
% 279.21/279.37 ** KEPT (pick-wt=18): 237 [] -class_Ring__and__Field_Ocomm__ring(A)|hAPP(c_Polynomial_Opoly(c_HOL_Ouminus__class_Ouminus(B,tc_Polynomial_Opoly(A)),A),C)=c_HOL_Ouminus__class_Ouminus(hAPP(c_Polynomial_Opoly(B,A),C),A).
% 279.21/279.37 ** KEPT (pick-wt=11): 238 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 279.21/279.37 ** KEPT (pick-wt=11): 239 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,C,A)=c_Lattices_Olower__semilattice__class_Oinf(C,B,A).
% 279.21/279.37 ** KEPT (pick-wt=26): 241 [copy,240,flip.2] -class_Ring__and__Field_Osemiring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,C,A),D,A),E,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,D,A),E,A),A).
% 279.21/279.37 ** KEPT (pick-wt=11): 242 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=11): 243 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=11): 244 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Ouminus__class_Ouminus(B,A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 Following clause subsumed by 242 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=20): 245 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 279.21/279.37 Following clause subsumed by 245 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ominus__class_Ominus(C,D,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=20): 246 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 279.21/279.37 Following clause subsumed by 246 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,C,A),D,A)=c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=23): 248 [copy,247,flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(B,C,A),c_HOL_Ominus__class_Ominus(D,E,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,D,A),c_HOL_Oplus__class_Oplus(C,E,A),A).
% 279.21/279.37 ** KEPT (pick-wt=9): 249 [] -class_RealVector_Oreal__normed__algebra__1(A)|c_HOL_Osgn__class_Osgn(c_HOL_Oone__class_Oone(A),A)=c_HOL_Oone__class_Oone(A).
% 279.21/279.37 ** KEPT (pick-wt=36): 250 [] -class_Ring__and__Field_Ocomm__ring__1(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(B,A),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),A),c_Polynomial_Osynthetic__div(C,B,A),tc_Polynomial_Opoly(A)),c_Polynomial_OpCons(hAPP(c_Polynomial_Opoly(C,A),B),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),tc_Polynomial_Opoly(A))=C.
% 279.21/279.37 ** KEPT (pick-wt=11): 251 [] -class_Ring__and__Field_Oordered__idom(A)|c_Polynomial_Opos__poly(c_Polynomial_OpCons(B,C,A),A)| -c_Polynomial_Opos__poly(C,A).
% 279.21/279.37 ** KEPT (pick-wt=23): 252 [] c_Fun_Ocomp(A,B,C,D,E)!=c_Fun_Ocomp(c_Fun_Oid(D),F,D,D,E)|hAPP(A,hAPP(B,G))=hAPP(F,G).
% 279.21/279.37 ** KEPT (pick-wt=71): 253 [] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))| -c_Polynomial_Opdivmod__rel(C,B,D,E,A)|c_Polynomial_Opdivmod__rel(c_Polynomial_OpCons(F,C,A),B,c_Polynomial_OpCons(c_HOL_Oinverse__class_Odivide(hAPP(c_Polynomial_Ocoeff(c_Polynomial_OpCons(F,E,A),A),c_Polynomial_Odegree(B,A)),hAPP(c_Polynomial_Ocoeff(B,A),c_Polynomial_Odegree(B,A)),A),D,A),c_HOL_Ominus__class_Ominus(c_Polynomial_OpCons(F,E,A),c_Polynomial_Osmult(c_HOL_Oinverse__class_Odivide(hAPP(c_Polynomial_Ocoeff(c_Polynomial_OpCons(F,E,A),A),c_Polynomial_Odegree(B,A)),hAPP(c_Polynomial_Ocoeff(B,A),c_Polynomial_Odegree(B,A)),A),B,A),tc_Polynomial_Opoly(A)),A).
% 279.21/279.37 ** KEPT (pick-wt=10): 254 [] -class_HOL_Ozero(A)|c_Polynomial_Odegree(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 279.21/279.37 ** KEPT (pick-wt=20): 255 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(B,C,A),c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=20): 256 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Oplus__class_Oplus(C,D,A),A)=c_HOL_Oplus__class_Oplus(c_RealVector_OscaleR__class_OscaleR(B,C,A),c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 258 [copy,257,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=11): 259 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 279.21/279.37 ** KEPT (pick-wt=11): 260 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,C,A)=c_Lattices_Oupper__semilattice__class_Osup(C,B,A).
% 279.21/279.37 ** KEPT (pick-wt=17): 261 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=17): 262 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 279.21/279.37 ** KEPT (pick-wt=19): 263 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|hAPP(c_Polynomial_Opoly(c_Polynomial_Osmult(B,C,A),A),D)=c_HOL_Otimes__class_Otimes(B,hAPP(c_Polynomial_Opoly(C,A),D),A).
% 279.21/279.37 ** KEPT (pick-wt=32): 264 [] -class_Ring__and__Field_Ofield(A)|c_Polynomial_Opdivmod__rel(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),E,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,F,tc_Polynomial_Opoly(A)),G,tc_Polynomial_Opoly(A)),A)| -c_Polynomial_Opdivmod__rel(H,D,E,F,A)| -c_Polynomial_Opdivmod__rel(B,C,H,G,A).
% 279.21/279.37 ** KEPT (pick-wt=16): 265 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)!=C|B=c_HOL_Ouminus__class_Ouminus(D,A).
% 279.21/279.37 ** KEPT (pick-wt=23): 266 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)=c_HOL_Oinverse__class_Odivide(B,D,A)|C=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=23): 267 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)=c_HOL_Oinverse__class_Odivide(C,D,A)|B=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.37 ** KEPT (pick-wt=14): 268 [] -class_Lattices_Oupper__semilattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 279.21/279.37 ** KEPT (pick-wt=14): 269 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Oupper__semilattice__class_Osup(B,C,A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 279.21/279.38 Following clause subsumed by 232 during input processing: 0 [] -class_SEQ_Obanach(A)| -class_RealVector_Oreal__normed__field(A)|c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(B,A),c_Transcendental_Oexp(C,A),A).
% 279.21/279.38 ** KEPT (pick-wt=19): 270 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),D,A)=c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(B,D,A),C,A).
% 279.21/279.38 ** KEPT (pick-wt=19): 272 [copy,271,flip.2] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Osmult(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),A)=c_HOL_Otimes__class_Otimes(C,c_Polynomial_Osmult(B,D,A),tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=19): 274 [copy,273,flip.2] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Osmult(B,c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),A)=c_HOL_Otimes__class_Otimes(c_Polynomial_Osmult(B,C,A),D,tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=24): 275 [] -class_Ring__and__Field_Ocomm__ring(A)|hAPP(c_Polynomial_Opoly(c_HOL_Ominus__class_Ominus(B,C,tc_Polynomial_Opoly(A)),A),D)=c_HOL_Ominus__class_Ominus(hAPP(c_Polynomial_Opoly(B,A),D),hAPP(c_Polynomial_Opoly(C,A),D),A).
% 279.21/279.38 ** KEPT (pick-wt=13): 276 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,c_HOL_Ouminus__class_Ouminus(C,A),A)=c_HOL_Oplus__class_Oplus(B,C,A).
% 279.21/279.38 ** KEPT (pick-wt=17): 278 [copy,277,flip.2] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(B,C,A),D,A)=c_Polynomial_Osmult(B,c_Polynomial_Osmult(C,D,A),A).
% 279.21/279.38 ** KEPT (pick-wt=20): 279 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)|D=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,D,A),c_HOL_Otimes__class_Otimes(C,D,A),A).
% 279.21/279.38 ** KEPT (pick-wt=20): 280 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,A)|D=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(D,B,A),c_HOL_Otimes__class_Otimes(D,C,A),A).
% 279.21/279.38 ** KEPT (pick-wt=25): 281 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_HOL_Oplus__class_Oplus(B,c_Polynomial_Osmult(C,c_Polynomial_Osynthetic__div(B,C,A),A),tc_Polynomial_Opoly(A))=c_Polynomial_OpCons(hAPP(c_Polynomial_Opoly(B,A),C),c_Polynomial_Osynthetic__div(B,C,A),A).
% 279.21/279.38 ** KEPT (pick-wt=11): 282 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(B,C,A),C,A)=B.
% 279.21/279.38 ** KEPT (pick-wt=20): 284 [copy,283,flip.2] -class_Ring__and__Field_Ofield(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 279.21/279.38 ** KEPT (pick-wt=20): 286 [copy,285,flip.2] -class_RealVector_Oreal__normed__field(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,C,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(B,D,A),C,A).
% 279.21/279.38 ** KEPT (pick-wt=9): 287 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 279.21/279.38 Following clause subsumed by 287 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 279.21/279.38 Following clause subsumed by 287 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 279.21/279.38 ** KEPT (pick-wt=9): 288 [] -class_Lattices_Oboolean__algebra(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 279.21/279.38 Following clause subsumed by 287 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(B,A),A)=B.
% 279.21/279.38 ** KEPT (pick-wt=13): 289 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Ominus__class_Ominus(C,B,A).
% 279.21/279.38 ** KEPT (pick-wt=26): 290 [] -class_Ring__and__Field_Oidom(A)|hAPP(c_Polynomial_Opoly(B,A),C)=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(C,A),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),A),B,tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=26): 291 [] -class_Ring__and__Field_Oidom(A)|hAPP(c_Polynomial_Opoly(B,A),C)!=c_HOL_Ozero__class_Ozero(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(c_HOL_Ouminus__class_Ouminus(C,A),c_Polynomial_OpCons(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),A),B,tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=26): 292 [] -class_Ring__and__Field_Oidom(A)|hAPP(c_Polynomial_Opoly(B,A),c_HOL_Ouminus__class_Ouminus(C,A))!=c_HOL_Ozero__class_Ozero(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(C,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),A),B,tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=26): 293 [] -class_Ring__and__Field_Oidom(A)|hAPP(c_Polynomial_Opoly(B,A),c_HOL_Ouminus__class_Ouminus(C,A))=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_OpCons(C,c_Polynomial_OpCons(c_HOL_Oone__class_Oone(A),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),A),B,tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=12): 295 [copy,294,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=18): 296 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,C,A)!=c_RealVector_OscaleR__class_OscaleR(D,C,A)|C=c_HOL_Ozero__class_Ozero(A)|B=D.
% 279.21/279.38 ** KEPT (pick-wt=13): 297 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Ozero__class_Ozero(A),A)=c_RealVector_OscaleR__class_OscaleR(C,c_HOL_Ozero__class_Ozero(A),A).
% 279.21/279.38 ** KEPT (pick-wt=9): 298 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=9): 299 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 Following clause subsumed by 299 during input processing: 0 [flip.2] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=9): 300 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=9): 301 [] -class_Ring__and__Field_Osgn__if(A)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=9): 302 [] -class_RealVector_Oreal__normed__vector(A)|c_HOL_Osgn__class_Osgn(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=10): 303 [] -class_Ring__and__Field_Oring__no__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=10): 304 [] -class_Ring__and__Field_Oring__no__zero__divisors(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=10): 305 [] -class_Ring__and__Field_Omult__zero(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=10): 306 [] -class_Ring__and__Field_Omult__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=10): 307 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=10): 308 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 Following clause subsumed by 308 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=10): 309 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 Following clause subsumed by 309 during input processing: 0 [] -class_RealVector_Oreal__normed__algebra(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=10): 310 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(B,c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 Following clause subsumed by 307 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=7): 311 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_HOL_Ozero__class_Ozero(A),A).
% 279.21/279.38 ** KEPT (pick-wt=7): 312 [] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 279.21/279.38 ** KEPT (pick-wt=11): 313 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|B=c_HOL_Ozero__class_Ozero(A)| -c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Ozero__class_Ozero(A),B,A).
% 279.21/279.38 Following clause subsumed by 295 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=11): 314 [] -class_OrderedGroup_Oordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=B|B=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=9): 315 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=12): 316 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ouminus__class_Ouminus(B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 Following clause subsumed by 312 during input processing: 0 [flip.2] -class_Ring__and__Field_Ozero__ne_q__one(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Oone__class_Oone(A).
% 279.21/279.38 ** KEPT (pick-wt=17): 317 [] -class_Ring__and__Field_Oring__no__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=17): 318 [] -class_Ring__and__Field_Ono__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 Following clause subsumed by 318 during input processing: 0 [] -class_Ring__and__Field_Ono__zero__divisors(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=13): 319 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oplus__class_Oplus(B,B,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=9): 320 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=9): 321 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=9): 322 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,c_HOL_Ozero__class_Ozero(A),A)=B.
% 279.21/279.38 Following clause subsumed by 321 during input processing: 0 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=11): 323 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Ominus__class_Ominus(B,B,A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=14): 325 [copy,324,flip.3] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=B|C=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=9): 326 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_OrderedGroup_Olordered__ab__group__add__class_Opprt(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=11): 327 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=12): 328 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Ozero__class_Ozero(A)!=c_HOL_Ouminus__class_Ouminus(B,A)|c_HOL_Ozero__class_Ozero(A)=B.
% 279.21/279.38 ** KEPT (pick-wt=20): 329 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(B,c_HOL_Oplus__class_Oplus(C,D,A),A)!=c_HOL_Oplus__class_Oplus(C,E,A)|c_HOL_Oplus__class_Oplus(B,D,A)=E.
% 279.21/279.38 ** KEPT (pick-wt=15): 330 [] -class_Ring__and__Field_Oordered__idom(A)|c_Polynomial_Opos__poly(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),A)| -c_Polynomial_Opos__poly(C,A)| -c_Polynomial_Opos__poly(B,A).
% 279.21/279.38 ** KEPT (pick-wt=13): 332 [copy,331,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_OrderedGroup_Olordered__ab__group__add__class_Opprt(B,A),A)=c_OrderedGroup_Olordered__ab__group__add__class_Onprt(c_HOL_Ouminus__class_Ouminus(B,A),A).
% 279.21/279.38 ** KEPT (pick-wt=16): 333 [] -class_Ring__and__Field_Oordered__idom(A)|B=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))|c_Polynomial_Opos__poly(B,A)| -c_Polynomial_Opos__poly(c_Polynomial_OpCons(C,B,A),A).
% 279.21/279.38 ** KEPT (pick-wt=24): 334 [] -class_Ring__and__Field_Ofield(A)|c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A).
% 279.21/279.38 ** KEPT (pick-wt=24): 335 [] -class_Ring__and__Field_Ofield(A)|c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),B,tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),B,A).
% 279.21/279.38 ** KEPT (pick-wt=11): 336 [] -class_SEQ_Obanach(A)| -class_RealVector_Oreal__normed__field(A)|c_Transcendental_Oexp(c_HOL_Ozero__class_Ozero(A),A)=c_HOL_Oone__class_Oone(A).
% 279.21/279.38 ** KEPT (pick-wt=17): 338 [copy,337,flip.2] -class_RealVector_Oreal__normed__field(A)|c_RealVector_OscaleR__class_OscaleR(B,c_HOL_Oinverse__class_Odivide(C,D,A),A)=c_HOL_Oinverse__class_Odivide(c_RealVector_OscaleR__class_OscaleR(B,C,A),D,A).
% 279.21/279.38 ** KEPT (pick-wt=15): 339 [] -class_OrderedGroup_Olordered__ab__group__add(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_HOL_Ouminus__class_Ouminus(B,A),A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=27): 340 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Opcompose(c_Polynomial_OpCons(B,C,A),D,A)=c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),c_HOL_Otimes__class_Otimes(D,c_Polynomial_Opcompose(C,D,A),tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=38): 342 [copy,341,flip.2] -class_RealVector_Oreal__field(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(C,D,A),E,A),A),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(B,F,A),E,A),D,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(F,D,A),A),E,A).
% 279.21/279.38 ** KEPT (pick-wt=16): 344 [copy,343,flip.2] -class_Ring__and__Field_Ocomm__ring(A)|c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(B,C,A),tc_Polynomial_Opoly(A))=c_Polynomial_Osmult(c_HOL_Ouminus__class_Ouminus(B,A),C,A).
% 279.21/279.38 ** KEPT (pick-wt=17): 346 [copy,345,flip.2] -class_Ring__and__Field_Ocomm__ring(A)|c_HOL_Ouminus__class_Ouminus(c_Polynomial_Osmult(B,C,A),tc_Polynomial_Opoly(A))=c_Polynomial_Osmult(B,c_HOL_Ouminus__class_Ouminus(C,tc_Polynomial_Opoly(A)),A).
% 279.21/279.38 Following clause subsumed by 72 during input processing: 0 [flip.2] -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A),A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A).
% 279.21/279.38 ** KEPT (pick-wt=13): 347 [] -class_HOL_Ozero(A)|c_Polynomial_Odegree(c_Polynomial_OpCons(B,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A),A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 279.21/279.38 ** KEPT (pick-wt=16): 348 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(B,D,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(C,D,A).
% 279.21/279.38 ** KEPT (pick-wt=16): 349 [] -class_Ring__and__Field_Oidom(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,C,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 279.21/279.38 ** KEPT (pick-wt=25): 350 [] -class_HOL_Ozero(A)| -class_HOL_Oe_q(A)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(A),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),c_Polynomial_OpCons(B,D,A)),c_Polynomial_OpCons(C,E,A))).
% 279.21/279.38 ** KEPT (pick-wt=26): 351 [] -class_HOL_Ozero(A)| -class_HOL_Oe_q(A)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),B),C))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),c_Polynomial_OpCons(D,B,A)),c_Polynomial_OpCons(E,C,A))).
% 279.21/279.38 ** KEPT (pick-wt=29): 352 [] -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),F,A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(B,E,A),C,A),D,A)=F.
% 279.21/279.38 ** KEPT (pick-wt=29): 353 [] -class_Ring__and__Field_Oring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),D,A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(E,C,A),F,A)|D=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(E,B,A),C,A),F,A).
% 279.21/279.38 ** KEPT (pick-wt=24): 354 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|hAPP(c_Polynomial_Opoly(c_HOL_Otimes__class_Otimes(B,C,tc_Polynomial_Opoly(A)),A),D)=c_HOL_Otimes__class_Otimes(hAPP(c_Polynomial_Opoly(B,A),D),hAPP(c_Polynomial_Opoly(C,A),D),A).
% 279.21/279.38 ** KEPT (pick-wt=15): 355 [] -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A))| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Opoly__gcd(C,D,A),tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=15): 356 [] -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A))| -c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Opoly__gcd(D,C,A),tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=24): 357 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|hAPP(c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(B,C,tc_Polynomial_Opoly(A)),A),D)=c_HOL_Oplus__class_Oplus(hAPP(c_Polynomial_Opoly(B,A),D),hAPP(c_Polynomial_Opoly(C,A),D),A).
% 279.21/279.38 ** KEPT (pick-wt=17): 358 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A)=c_RealVector_OscaleR__class_OscaleR(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 279.21/279.38 ** KEPT (pick-wt=17): 359 [] -class_RealVector_Oreal__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A)=c_RealVector_OscaleR__class_OscaleR(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 279.21/279.38 Following clause subsumed by 358 during input processing: 0 [] -class_RealVector_Oreal__normed__vector(A)|c_RealVector_OscaleR__class_OscaleR(B,c_RealVector_OscaleR__class_OscaleR(C,D,A),A)=c_RealVector_OscaleR__class_OscaleR(C,c_RealVector_OscaleR__class_OscaleR(B,D,A),A).
% 279.21/279.38 ** KEPT (pick-wt=4): 361 [copy,360,flip.1] c_HOL_Oone__class_Oone(tc_Complex_Ocomplex)!=c_Complex_Oii.
% 279.21/279.38 ** KEPT (pick-wt=11): 362 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 279.21/279.38 Following clause subsumed by 362 during input processing: 0 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 279.21/279.38 ** KEPT (pick-wt=11): 363 [] -class_OrderedGroup_Ocomm__monoid__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)=c_HOL_Oplus__class_Oplus(C,B,A).
% 279.21/279.38 ** KEPT (pick-wt=16): 365 [copy,364,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(A),c_HOL_Oone__class_Oone(A),A),B,A)=c_HOL_Oplus__class_Oplus(B,B,A).
% 279.21/279.38 ** KEPT (pick-wt=25): 367 [copy,366,flip.2] -class_OrderedGroup_Ocomm__monoid__add(A)|c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(B,C,A),c_HOL_Oplus__class_Oplus(D,E,tc_Polynomial_Opoly(A)),A)=c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(B,D,A),c_Polynomial_OpCons(C,E,A),tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=15): 369 [copy,368,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=21): 370 [] -class_Ring__and__Field_Ocomm__ring(A)|c_Polynomial_Osmult(c_HOL_Ominus__class_Ominus(B,C,A),D,A)=c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(B,D,A),c_Polynomial_Osmult(C,D,A),tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=22): 371 [] -class_Ring__and__Field_Ocomm__ring(A)|c_Polynomial_Osmult(B,c_HOL_Ominus__class_Ominus(C,D,tc_Polynomial_Opoly(A)),A)=c_HOL_Ominus__class_Ominus(c_Polynomial_Osmult(B,C,A),c_Polynomial_Osmult(B,D,A),tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=14): 372 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|c_HOL_Ouminus__class_Ouminus(B,A)=C.
% 279.21/279.38 ** KEPT (pick-wt=14): 373 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(B,C,A)!=c_HOL_Ozero__class_Ozero(A)|B=c_HOL_Ouminus__class_Ouminus(C,A).
% 279.21/279.38 ** KEPT (pick-wt=31): 374 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A)|C=E|B=D.
% 279.21/279.38 Following clause subsumed by 374 during input processing: 0 [] -class_Ring__and__Field_Oidom(A)| -class_Int_Onumber__ring(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)!=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A)|C=E|B=D.
% 279.21/279.38 ** KEPT (pick-wt=14): 375 [] -class_HOL_Ozero(A)|c_Polynomial_Odegree(c_Polynomial_Omonom(B,C,A),A)=C|B=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=37): 376 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(B,C,A),c_HOL_Oinverse__class_Odivide(D,E,A),A)=c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,E,A),c_HOL_Otimes__class_Otimes(D,C,A),A),c_HOL_Otimes__class_Otimes(C,E,A),A)|E=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=17): 378 [copy,377,flip.3] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 Following clause subsumed by 378 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Field_Odivision__by__zero(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(B,C,A),C,A)=B|C=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=25): 379 [] -class_HOL_Ozero(A)| -class_HOL_Oe_q(A)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(A),B),c_HOL_Ozero__class_Ozero(A)))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),c_Polynomial_OpCons(B,C,A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)))).
% 279.21/279.38 ** KEPT (pick-wt=27): 380 [] -class_HOL_Ozero(A)| -class_HOL_Oe_q(A)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),B),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),c_Polynomial_OpCons(C,B,A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)))).
% 279.21/279.38 ** KEPT (pick-wt=18): 382 [copy,381,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(A),A),C,A)=c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(B,C,A),C,A).
% 279.21/279.38 ** KEPT (pick-wt=18): 384 [copy,383,flip.2] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(B,c_HOL_Oone__class_Oone(A),A),C,A)=c_HOL_Oplus__class_Oplus(C,c_HOL_Otimes__class_Otimes(B,C,A),A).
% 279.21/279.38 ** KEPT (pick-wt=27): 385 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_HOL_Otimes__class_Otimes(c_Polynomial_OpCons(B,C,A),D,tc_Polynomial_Opoly(A))=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(B,D,A),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(C,D,tc_Polynomial_Opoly(A)),A),tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=27): 386 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_HOL_Otimes__class_Otimes(B,c_Polynomial_OpCons(C,D,A),tc_Polynomial_Opoly(A))=c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(C,B,A),c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(A),c_HOL_Otimes__class_Otimes(B,D,tc_Polynomial_Opoly(A)),A),tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=22): 387 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_HOL_Oplus__class_Oplus(B,c_Polynomial_Osmult(C,D,A),tc_Polynomial_Opoly(A))!=c_Polynomial_OpCons(E,D,A)|E=hAPP(c_Polynomial_Opoly(B,A),C).
% 279.21/279.38 ** KEPT (pick-wt=11): 388 [] -class_Lattices_Olattice(A)|c_Lattices_Oupper__semilattice__class_Osup(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=B.
% 279.21/279.38 ** KEPT (pick-wt=16): 389 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Osynthetic__div(B,C,A)!=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))|c_Polynomial_Odegree(B,A)=c_HOL_Ozero__class_Ozero(tc_nat).
% 279.21/279.38 ** KEPT (pick-wt=16): 390 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_Polynomial_Odegree(B,A)!=c_HOL_Ozero__class_Ozero(tc_nat)|c_Polynomial_Osynthetic__div(B,C,A)=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=35): 391 [] -class_HOL_Ozero(A)| -class_HOL_Oe_q(A)|hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),c_Polynomial_OpCons(B,C,A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),C),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))))| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(A),B),c_HOL_Ozero__class_Ozero(A))).
% 279.21/279.38 ** KEPT (pick-wt=13): 392 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oplus__class_Oplus(C,B,A),A)=C.
% 279.21/279.38 ** KEPT (pick-wt=13): 393 [] -class_OrderedGroup_Ogroup__add(A)|c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Oplus__class_Oplus(B,C,A),A)=C.
% 279.21/279.38 ** KEPT (pick-wt=15): 394 [] -class_HOL_Ozero(A)| -class_HOL_Oe_q(A)|B=C| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(tc_Polynomial_Opoly(A)),B),C)).
% 279.21/279.38 ** KEPT (pick-wt=12): 395 [] -class_HOL_Oe_q(A)|B=C| -hBOOL(hAPP(hAPP(c_HOL_Oe_q__class_Oe_q(A),B),C)).
% 279.21/279.38 ** KEPT (pick-wt=13): 396 [] -class_HOL_Ozero(A)|hAPP(c_Polynomial_Ocoeff(c_Polynomial_OpCons(B,C,A),A),c_HOL_Ozero__class_Ozero(tc_nat))=B.
% 279.21/279.38 ** KEPT (pick-wt=8): 397 [] c_Complex_Ocnj(A)!=c_Complex_Ocnj(B)|A=B.
% 279.21/279.38 ** KEPT (pick-wt=11): 398 [] -class_Ring__and__Field_Ofield(A)|c_Polynomial_Opoly__gcd(B,C,A)=c_Polynomial_Opoly__gcd(C,B,A).
% 279.21/279.38 ** KEPT (pick-wt=15): 399 [] -class_Ring__and__Field_Oring(A)|c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(B,A),C,A)=c_HOL_Otimes__class_Otimes(B,c_HOL_Ouminus__class_Ouminus(C,A),A).
% 279.21/279.38 ** KEPT (pick-wt=10): 400 [] -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(B,C,A),C,tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=10): 401 [] -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(c_Polynomial_Opoly__gcd(B,C,A),B,tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=20): 402 [] -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Opoly__gcd(C,D,A),tc_Polynomial_Opoly(A))| -c_Ring__and__Field_Odvd__class_Odvd(B,D,tc_Polynomial_Opoly(A))| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A)).
% 279.21/279.38 Following clause subsumed by 402 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)|c_Ring__and__Field_Odvd__class_Odvd(B,c_Polynomial_Opoly__gcd(C,D,A),tc_Polynomial_Opoly(A))| -c_Ring__and__Field_Odvd__class_Odvd(B,D,tc_Polynomial_Opoly(A))| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=11): 403 [] hAPP(A,B)=hAPP(A,C)| -c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(A,t_a,t_b).
% 279.21/279.38 ** KEPT (pick-wt=14): 404 [] -class_Lattices_Olattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 279.21/279.38 ** KEPT (pick-wt=14): 405 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,c_Lattices_Olower__semilattice__class_Oinf(B,C,A),A)=c_Lattices_Olower__semilattice__class_Oinf(B,C,A).
% 279.21/279.38 ** KEPT (pick-wt=21): 406 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|c_HOL_Oplus__class_Oplus(B,c_Polynomial_Osmult(C,D,A),tc_Polynomial_Opoly(A))!=c_Polynomial_OpCons(E,D,A)|D=c_Polynomial_Osynthetic__div(B,C,A).
% 279.21/279.38 ** KEPT (pick-wt=30): 407 [] -class_Ring__and__Field_Oidom(A)|hAPP(c_Polynomial_Ocoeff(B,A),c_Polynomial_Odegree(B,A))!=hAPP(c_Polynomial_Ocoeff(C,A),c_Polynomial_Odegree(C,A))|B=C| -c_Ring__and__Field_Odvd__class_Odvd(C,B,tc_Polynomial_Opoly(A))| -c_Ring__and__Field_Odvd__class_Odvd(B,C,tc_Polynomial_Opoly(A)).
% 279.21/279.38 ** KEPT (pick-wt=17): 409 [copy,408,flip.2] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(B,C,A),A)=c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A).
% 279.21/279.38 ** KEPT (pick-wt=20): 410 [] -class_Ring__and__Field_Ocomm__semiring__1(A)|c_Ring__and__Field_Odvd__class_Odvd(c_HOL_Otimes__class_Otimes(B,C,A),c_HOL_Otimes__class_Otimes(D,E,A),A)| -c_Ring__and__Field_Odvd__class_Odvd(C,E,A)| -c_Ring__and__Field_Odvd__class_Odvd(B,D,A).
% 279.21/279.38 ** KEPT (pick-wt=21): 411 [] -class_OrderedGroup_Oab__group__add(A)|c_HOL_Ominus__class_Ominus(c_Polynomial_Omonom(B,C,A),c_Polynomial_Omonom(D,C,A),tc_Polynomial_Opoly(A))=c_Polynomial_Omonom(c_HOL_Ominus__class_Ominus(B,D,A),C,A).
% 279.21/279.38 ** KEPT (pick-wt=8): 412 [] -class_Lattices_Olower__semilattice(A)|c_Lattices_Olower__semilattice__class_Oinf(B,B,A)=B.
% 279.21/279.38 ** KEPT (pick-wt=22): 413 [] -class_Ring__and__Field_Ocomm__semiring__0(A)|hAPP(c_Polynomial_Opoly(c_Polynomial_OpCons(B,C,A),A),D)=c_HOL_Oplus__class_Oplus(B,c_HOL_Otimes__class_Otimes(D,hAPP(c_Polynomial_Opoly(C,A),D),A),A).
% 279.21/279.38 ** KEPT (pick-wt=19): 414 [] -class_Ring__and__Field_Oordered__ring__strict(A)|c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),c_HOL_Ozero__class_Ozero(A),A),A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=25): 415 [] -class_Ring__and__Field_Ofield(A)|B=c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A))|c_Polynomial_Opdivmod__rel(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(C,B,tc_Polynomial_Opoly(A)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),tc_Polynomial_Opoly(A)),B,C,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(A)),A).
% 279.21/279.38 ** KEPT (pick-wt=17): 417 [copy,416,flip.2] -class_OrderedGroup_Olordered__ab__group__add(A)|c_HOL_Ouminus__class_Ouminus(c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(B,A),c_HOL_Ouminus__class_Ouminus(C,A),A),A)=c_Lattices_Oupper__semilattice__class_Osup(B,C,A).
% 279.21/279.38 ** KEPT (pick-wt=28): 418 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Oinverse__class_Odivide(B,C,A)!=c_HOL_Oinverse__class_Odivide(D,E,A)|E=c_HOL_Ozero__class_Ozero(A)|C=c_HOL_Ozero__class_Ozero(A)|c_HOL_Otimes__class_Otimes(B,E,A)=c_HOL_Otimes__class_Otimes(D,C,A).
% 279.21/279.38 ** KEPT (pick-wt=28): 419 [] -class_Ring__and__Field_Ofield(A)|c_HOL_Otimes__class_Otimes(B,C,A)!=c_HOL_Otimes__class_Otimes(D,E,A)|C=c_HOL_Ozero__class_Ozero(A)|E=c_HOL_Ozero__class_Ozero(A)|c_HOL_Oinverse__class_Odivide(B,E,A)=c_HOL_Oinverse__class_Odivide(D,C,A).
% 279.21/279.38 ** KEPT (pick-wt=17): 420 [] -class_RealVector_Oreal__normed__div__algebra(A)|c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(B,A),c_HOL_Osgn__class_Osgn(C,A),A).
% 279.21/279.38 ** KEPT (pick-wt=17): 421 [] -class_Ring__and__Field_Oordered__idom(A)|c_HOL_Osgn__class_Osgn(c_HOL_Otimes__class_Otimes(B,C,A),A)=c_HOL_Otimes__class_Otimes(c_HOL_Osgn__class_Osgn(B,A),c_HOL_Osgn__class_Osgn(C,A),A).
% 279.21/279.38 Following clause subsumed by 369 during input processing: 0 [] -class_Ring__and__Field_Ofield(A)| -class_Ring__and__Fiel
% 279.21/279.38 Search stopped in tp_alloc by max_mem option.
% 279.21/279.38 d_Odivision__by__zero(A)|c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(A),B,A),B,A)=c_HOL_Ozero__class_Ozero(A).
% 279.21/279.38 ** KEPT (pick-wt=14): 422 [] -class_HOL_Ozero(A)|c_Polynomial_Omonom(B,C,A)!=c_Polynomial_Omonom(D,C,A)|B=D.
% 279.21/279.38
% 279.21/279.38 Search stopped in tp_alloc by max_mem option.
% 279.21/279.38
% 279.21/279.38 ============ end of search ============
% 279.21/279.38
% 279.21/279.38 -------------- statistics -------------
% 279.21/279.38 clauses given 0
% 279.21/279.38 clauses generated 0
% 279.21/279.38 clauses kept 361
% 279.21/279.38 clauses forward subsumed 45
% 279.21/279.38 clauses back subsumed 0
% 279.21/279.38 Kbytes malloced 11718
% 279.21/279.38
% 279.21/279.38 ----------- times (seconds) -----------
% 279.21/279.38 user CPU time 0.04 (0 hr, 0 min, 0 sec)
% 279.21/279.38 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 279.21/279.38 wall-clock time 279 (0 hr, 4 min, 39 sec)
% 279.21/279.38
% 279.21/279.38 Process 7069 finished Wed Jul 27 03:38:15 2022
% 279.21/279.38 Otter interrupted
% 279.21/279.38 PROOF NOT FOUND
%------------------------------------------------------------------------------