TSTP Solution File: ALG384-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ALG384-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %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 : Sat Jul 23 05:57:38 EDT 2022
% Result : Unsatisfiable 69.06s 69.22s
% Output : Refutation 69.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG384-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.14/0.33 % Computer : n009.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Fri Jul 22 10:47:51 EDT 2022
% 0.14/0.33 % CPUTime :
% 69.06/69.22 GeoParameters:
% 69.06/69.22
% 69.06/69.22 tptp_input = 1
% 69.06/69.22 tptp_output = 0
% 69.06/69.22 nonempty = 1
% 69.06/69.22 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 69.06/69.22 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 69.06/69.22
% 69.06/69.22
% 69.06/69.22 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 69.06/69.22 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 69.06/69.22
% 69.06/69.22 RuleSystem INPUT:
% 69.06/69.22
% 69.06/69.22 Initial Rules:
% 69.06/69.22 #0: input, references = 8, size of lhs = 4:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_RealVector_Onorm__class_Onorm-{F}(V1,V0,V2), P_c_HOL_Oabs__class_Oabs-{F}(V1,V0,V3), V2 == V3 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #1: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_RealVector_Oreal__vector-{F}(V1), P_c_RealVector_OscaleR__class_OscaleR-{F}(V4,V2,V1,V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V3,V2,V1,V6), V5 == V6 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #2: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V1), P_c_HOL_Oabs__class_Oabs-{F}(V3,V1,V2), V3 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #3: input, references = 4, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Odivision__ring-{F}(V1), P_c_HOL_Oinverse__class_Oinverse-{F}(V3,V1,V2), V3 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #4: input, references = 4, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Odivision__ring-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), P_c_HOL_Oinverse__class_Oinverse-{F}(V3,V1,V2), V3 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #5: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_c_HOL_Osgn__class_Osgn-{F}(V2,V1,V3), class_Ring__and__Field_Oordered__idom-{F}(V1), V3 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #6: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_c_HOL_Osgn__class_Osgn-{F}(V2,V1,V3), class_Ring__and__Field_Osgn__if-{F}(V1), V3 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #7: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_c_HOL_Osgn__class_Osgn-{F}(V2,V1,V3), class_RealVector_Oreal__normed__vector-{F}(V1), V3 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #8: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oring__no__zero__divisors-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V3,V2,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #9: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oring__no__zero__divisors-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V2,V3,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #10: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Omult__zero-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V3,V2,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #11: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Omult__zero-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V2,V3,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #12: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V2,V3,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #13: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_RealVector_Oreal__normed__algebra-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V3,V2,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #14: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_RealVector_Oreal__normed__algebra-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V3,V2,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #15: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_RealVector_Oreal__normed__algebra-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V2,V3,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #16: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_RealVector_Oreal__normed__algebra-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V2,V3,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #17: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V3,V2,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #18: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V2,V3,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #19: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Odivision__ring-{F}(V1), P_c_HOL_Oinverse__class_Oinverse-{F}(V3,V1,V4), P_c_HOL_Oinverse__class_Oinverse-{F}(V4,V1,V5), V5 == V3, V3 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #20: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_c_HOL_Oinverse__class_Odivide-{F}(V2,V2,V1,V3), class_Ring__and__Field_Ofield-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), V3 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #21: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_c_HOL_Oinverse__class_Oinverse-{F}(V2,V1,V3), class_Ring__and__Field_Odivision__by__zero-{F}(V1), V3 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #22: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_c_HOL_Oinverse__class_Oinverse-{F}(V2,V1,V3), class_Ring__and__Field_Odivision__ring-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), V3 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #23: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Odivision__ring-{F}(V1), P_c_HOL_Oinverse__class_Oinverse-{F}(V3,V1,V4), P_c_HOL_Oinverse__class_Oinverse-{F}(V5,V1,V4), V3 == V2, V5 == V3, V5 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #24: input, references = 4, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oring__no__zero__divisors-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V1,V2), V3 == V2, V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #25: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Ono__zero__divisors-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V1,V2), V3 == V2, V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #26: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Ono__zero__divisors-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V1,V2), V3 == V2, V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #27: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_c_HOL_Oabs__class_Oabs-{F}(V2,V1,V3), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V1), V3 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #28: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_RealVector_Oreal__normed__vector-{F}(V1), P_c_RealVector_OscaleR__class_OscaleR-{F}(V3,V2,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #29: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_RealVector_Oreal__vector-{F}(V1), P_c_RealVector_OscaleR__class_OscaleR-{F}(V3,V2,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #30: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Ofield-{F}(V1), P_c_HOL_Oinverse__class_Odivide-{F}(V2,V3,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #31: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Ofield-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), P_c_HOL_Oinverse__class_Odivide-{F}(V3,V2,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #32: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Ofield-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), P_c_HOL_Oinverse__class_Odivide-{F}(V3,V2,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #33: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_RealVector_Oreal__normed__field-{F}(V1), P_c_HOL_Oinverse__class_Odivide-{F}(V2,V3,V1,V4), V4 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #34: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__idom-{F}(V1), P_c_HOL_Osgn__class_Osgn-{F}(V3,V1,V2), V3 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #35: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_RealVector_Oreal__normed__vector-{F}(V1), P_c_HOL_Osgn__class_Osgn-{F}(V3,V1,V2), V3 == V2 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #36: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_SEQ_Obanach-{F}(V1), class_RealVector_Oreal__normed__field-{F}(V1), P_c_Transcendental_Oexp-{F}(V3,V1,V2) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #37: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__semiring__strict-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), c_lessequals-{F}(V3,V4,V1), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V1,V6), c_lessequals-{F}(V2,V5,V1), P_c_HOL_Otimes__class_Otimes-{F}(V7,V4,V1,V8), c_HOL_Oord__class_Oless-{F}(V5,V7,V1) | c_HOL_Oord__class_Oless-{T}(V6,V8,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #38: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__semiring__strict-{F}(V1), c_lessequals-{F}(V2,V3,V1), c_HOL_Oord__class_Oless-{F}(V3,V4,V1), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V1,V6), c_HOL_Oord__class_Oless-{F}(V2,V5,V1), P_c_HOL_Otimes__class_Otimes-{F}(V7,V4,V1,V8), c_lessequals-{F}(V5,V7,V1) | c_HOL_Oord__class_Oless-{T}(V6,V8,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #39: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V1,V5), c_HOL_Oord__class_Oless-{F}(V2,V5,V1), c_HOL_Oord__class_Oless-{F}(V4,V3,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V4,V1,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V3,V1,V8), c_HOL_Oord__class_Oless-{F}(V6,V2,V1) | c_HOL_Oord__class_Oless-{T}(V7,V8,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #40: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V1,V5), c_HOL_Oord__class_Oless-{F}(V2,V5,V1), c_HOL_Oord__class_Oless-{F}(V3,V4,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V4,V1,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V3,V1,V8), c_HOL_Oord__class_Oless-{F}(V2,V6,V1) | c_HOL_Oord__class_Oless-{T}(V7,V8,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #41: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), c_lessequals-{F}(V3,V4,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V4,V1,V6), c_lessequals-{F}(V2,V5,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V3,V1,V8), c_lessequals-{F}(V5,V7,V1) | c_lessequals-{T}(V6,V8,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #42: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V1,V5), c_HOL_Oord__class_Oless-{F}(V4,V2,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V5,V6,V1) | c_HOL_Oord__class_Oless-{T}(V3,V2,V1), c_HOL_Oord__class_Oless-{T}(V4,V7,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #43: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V1,V5), c_HOL_Oord__class_Oless-{F}(V4,V2,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V6,V5,V1) | c_HOL_Oord__class_Oless-{T}(V2,V3,V1), c_HOL_Oord__class_Oless-{T}(V4,V7,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #44: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_HOL_Oord__class_Oless-{F}(V3,V2,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V4,V7,V1) | c_HOL_Oord__class_Oless-{T}(V2,V3,V1), c_HOL_Oord__class_Oless-{T}(V5,V6,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #45: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_HOL_Oord__class_Oless-{F}(V3,V2,V1), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V1,V6), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V5,V7,V1) | c_HOL_Oord__class_Oless-{T}(V2,V3,V1), c_HOL_Oord__class_Oless-{T}(V4,V6,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #46: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V1,V5), c_HOL_Oord__class_Oless-{F}(V2,V4,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V6,V5,V1) | c_HOL_Oord__class_Oless-{T}(V3,V2,V1), c_HOL_Oord__class_Oless-{T}(V7,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #47: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V1,V5), c_HOL_Oord__class_Oless-{F}(V2,V4,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V5,V6,V1) | c_HOL_Oord__class_Oless-{T}(V2,V3,V1), c_HOL_Oord__class_Oless-{T}(V7,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #48: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_HOL_Oord__class_Oless-{F}(V3,V2,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V7,V4,V1) | c_HOL_Oord__class_Oless-{T}(V2,V3,V1), c_HOL_Oord__class_Oless-{T}(V6,V5,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #49: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_HOL_Oord__class_Oless-{F}(V3,V2,V1), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V1,V6), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V7,V5,V1) | c_HOL_Oord__class_Oless-{T}(V2,V3,V1), c_HOL_Oord__class_Oless-{T}(V6,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #50: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), P_c_HOL_Oinverse__class_Oinverse-{F}(V3,V1,V4), c_HOL_Oord__class_Oless-{F}(V3,V2,V1), P_c_HOL_Oinverse__class_Oinverse-{F}(V5,V1,V6), c_lessequals-{F}(V5,V3,V1) | c_lessequals-{T}(V4,V6,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #51: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), P_c_HOL_Oinverse__class_Oinverse-{F}(V3,V1,V4), c_HOL_Oord__class_Oless-{F}(V3,V2,V1), P_c_HOL_Oinverse__class_Oinverse-{F}(V5,V1,V6), c_lessequals-{F}(V6,V4,V1) | c_lessequals-{T}(V3,V5,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #52: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), P_c_HOL_Oinverse__class_Oinverse-{F}(V3,V1,V4), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), P_c_HOL_Oinverse__class_Oinverse-{F}(V5,V1,V6), c_lessequals-{F}(V3,V5,V1) | c_lessequals-{T}(V6,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #53: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), P_c_HOL_Oinverse__class_Oinverse-{F}(V3,V1,V4), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), P_c_HOL_Oinverse__class_Oinverse-{F}(V5,V1,V6), c_lessequals-{F}(V4,V6,V1) | c_lessequals-{T}(V5,V3,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #54: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), c_HOL_Oord__class_Oless-{F}(V3,V2,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V1,V5), c_lessequals-{F}(V4,V2,V1) | c_lessequals-{T}(V2,V5,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #55: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V1,V5), c_lessequals-{F}(V2,V4,V1) | c_lessequals-{T}(V2,V5,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #56: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_HOL_Oord__class_Oless-{F}(V3,V2,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V4,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V1,V7), c_HOL_Oord__class_Oless-{F}(V5,V7,V1), c_HOL_Oord__class_Oless-{F}(V7,V5,V1) | c_HOL_Oord__class_Oless-{T}(V3,V6,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #57: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_HOL_Oord__class_Oless-{F}(V3,V2,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V4,V7,V1), c_HOL_Oord__class_Oless-{F}(V7,V4,V1) | c_HOL_Oord__class_Oless-{T}(V5,V6,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #58: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V4,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V1,V7), c_HOL_Oord__class_Oless-{F}(V7,V5,V1), c_HOL_Oord__class_Oless-{F}(V5,V7,V1) | c_HOL_Oord__class_Oless-{T}(V6,V3,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #59: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_HOL_Oord__class_Oless-{F}(V3,V2,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V7,V4,V1), c_HOL_Oord__class_Oless-{F}(V4,V7,V1) | c_HOL_Oord__class_Oless-{T}(V6,V5,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #60: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), c_lessequals-{F}(V3,V4,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V4,V1,V6), c_lessequals-{F}(V2,V5,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V3,V1,V8), c_HOL_Oord__class_Oless-{F}(V5,V7,V1) | c_HOL_Oord__class_Oless-{T}(V6,V8,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #61: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__semiring__strict-{F}(V1), c_lessequals-{F}(V2,V3,V1), c_HOL_Oord__class_Oless-{F}(V3,V4,V1), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V1,V6), c_lessequals-{F}(V2,V5,V1), P_c_HOL_Otimes__class_Otimes-{F}(V7,V4,V1,V8), c_HOL_Oord__class_Oless-{F}(V5,V7,V1) | c_HOL_Oord__class_Oless-{T}(V6,V8,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #62: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V1,V5), c_lessequals-{F}(V4,V2,V1) | c_lessequals-{T}(V5,V2,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #63: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), c_HOL_Oord__class_Oless-{F}(V3,V2,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V1,V5), c_lessequals-{F}(V2,V4,V1) | c_lessequals-{T}(V5,V2,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #64: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V3,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V7,V5,V1) | c_HOL_Oord__class_Oless-{T}(V4,V6,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #65: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V3,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V5,V7,V1) | c_HOL_Oord__class_Oless-{T}(V6,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #66: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V7,V4,V1) | c_HOL_Oord__class_Oless-{T}(V5,V6,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #67: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V1,V6), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V5,V7,V1) | c_HOL_Oord__class_Oless-{T}(V6,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #68: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V4,V7,V1) | c_HOL_Oord__class_Oless-{T}(V6,V5,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #69: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V1,V6), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V7,V5,V1) | c_HOL_Oord__class_Oless-{T}(V4,V6,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #70: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), P_c_HOL_Oabs__class_Oabs-{F}(V4,V1,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V3,V1,V6), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V1,V7), P_c_HOL_Oabs__class_Oabs-{F}(V7,V1,V8), V6 == V8 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #71: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__semiring__strict-{F}(V1), c_lessequals-{F}(V2,V3,V1), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V6,V7,V1) | c_HOL_Oord__class_Oless-{T}(V5,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #72: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__semiring__strict-{F}(V1), c_lessequals-{F}(V2,V3,V1), P_c_HOL_Otimes__class_Otimes-{F}(V3,V5,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V1,V7), c_HOL_Oord__class_Oless-{F}(V6,V7,V1) | c_HOL_Oord__class_Oless-{T}(V5,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #73: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__semiring-{F}(V1), c_lessequals-{F}(V2,V3,V1), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V1,V7), c_HOL_Oord__class_Oless-{F}(V6,V7,V1) | c_HOL_Oord__class_Oless-{T}(V5,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #74: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__semiring-{F}(V1), c_lessequals-{F}(V2,V3,V1), P_c_HOL_Otimes__class_Otimes-{F}(V3,V5,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V1,V7), c_HOL_Oord__class_Oless-{F}(V6,V7,V1) | c_HOL_Oord__class_Oless-{T}(V5,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #75: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__semiring__strict-{F}(V1), c_lessequals-{F}(V2,V3,V1), c_HOL_Oord__class_Oless-{F}(V3,V4,V1), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V1,V6), c_HOL_Oord__class_Oless-{F}(V2,V5,V1), P_c_HOL_Otimes__class_Otimes-{F}(V7,V3,V1,V8), c_HOL_Oord__class_Oless-{F}(V7,V5,V1) | c_HOL_Oord__class_Oless-{T}(V8,V6,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #76: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), c_HOL_Oord__class_Oless-{F}(V3,V4,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V4,V1,V6), c_HOL_Oord__class_Oless-{F}(V2,V5,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V3,V1,V8), c_lessequals-{F}(V5,V7,V1) | c_HOL_Oord__class_Oless-{T}(V6,V8,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #77: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__semiring__strict-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V1,V7), c_lessequals-{F}(V6,V7,V1) | c_lessequals-{T}(V5,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #78: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__semiring__strict-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), P_c_HOL_Otimes__class_Otimes-{F}(V3,V5,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V1,V7), c_lessequals-{F}(V6,V7,V1) | c_lessequals-{T}(V5,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #79: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__ring__strict-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), P_c_HOL_Otimes__class_Otimes-{F}(V3,V5,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V1,V7), c_lessequals-{F}(V5,V4,V1) | c_lessequals-{T}(V6,V7,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #80: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__ring__strict-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), P_c_HOL_Otimes__class_Otimes-{F}(V3,V5,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V1,V7), c_lessequals-{F}(V6,V7,V1) | c_lessequals-{T}(V5,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #81: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__ring__strict-{F}(V1), c_HOL_Oord__class_Oless-{F}(V3,V2,V1), P_c_HOL_Otimes__class_Otimes-{F}(V3,V5,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V1,V7), c_lessequals-{F}(V4,V5,V1) | c_lessequals-{T}(V6,V7,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #82: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__ring__strict-{F}(V1), c_HOL_Oord__class_Oless-{F}(V3,V2,V1), P_c_HOL_Otimes__class_Otimes-{F}(V3,V5,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V1,V7), c_lessequals-{F}(V6,V7,V1) | c_lessequals-{T}(V4,V5,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #83: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_lessequals-{F}(V4,V2,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V3,V1,V6) | c_HOL_Oord__class_Oless-{T}(V3,V2,V1), c_HOL_Oord__class_Oless-{T}(V2,V3,V1), c_lessequals-{T}(V4,V6,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #84: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V3,V1,V6), c_lessequals-{F}(V4,V6,V1) | c_HOL_Oord__class_Oless-{T}(V3,V2,V1), c_HOL_Oord__class_Oless-{T}(V2,V3,V1), c_lessequals-{T}(V4,V2,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #85: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_lessequals-{F}(V2,V4,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V3,V1,V6) | c_HOL_Oord__class_Oless-{T}(V3,V2,V1), c_HOL_Oord__class_Oless-{T}(V2,V3,V1), c_lessequals-{T}(V6,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #86: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V3,V1,V6), c_lessequals-{F}(V6,V4,V1) | c_HOL_Oord__class_Oless-{T}(V3,V2,V1), c_HOL_Oord__class_Oless-{T}(V2,V3,V1), c_lessequals-{T}(V2,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #87: input, references = 3, size of lhs = 4:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), class_Orderings_Oorder-{F}(V1), c_lessequals-{F}(V2,V3,V1), c_HOL_Oord__class_Oless-{F}(V3,V4,V1) | c_HOL_Oord__class_Oless-{T}(V2,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #88: input, references = 3, size of lhs = 4:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), class_Orderings_Oorder-{F}(V1), c_HOL_Oord__class_Oless-{F}(V2,V3,V1), c_lessequals-{F}(V3,V4,V1) | c_HOL_Oord__class_Oless-{T}(V2,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #89: input, references = 3, size of lhs = 4:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), class_Orderings_Opreorder-{F}(V1), c_lessequals-{F}(V3,V2,V1), c_HOL_Oord__class_Oless-{F}(V4,V3,V1) | c_HOL_Oord__class_Oless-{T}(V4,V2,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #90: input, references = 3, size of lhs = 4:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), class_Orderings_Opreorder-{F}(V1), c_HOL_Oord__class_Oless-{F}(V3,V2,V1), c_lessequals-{F}(V4,V3,V1) | c_HOL_Oord__class_Oless-{T}(V4,V2,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #91: input, references = 3, size of lhs = 3:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), class_Orderings_Opreorder-{F}(V1), c_HOL_Oord__class_Oless-{F}(V3,V2,V1) | c_lessequals-{T}(V3,V2,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #92: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), class_RealVector_Oreal__normed__vector-{F}(V1), class_RealVector_Oreal__algebra__1-{F}(V1), P_c_RealVector_Oof__real-{F}(V3,V1,V4), P_c_RealVector_Onorm__class_Onorm-{F}(V4,V1,V5), P_c_RealVector_Onorm__class_Onorm-{F}(V3,V0,V6), P_c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1-{F}(V2,V1,V7), P_c_HOL_Otimes__class_Otimes-{F}(V6,V7,V0,V8) | c_lessequals-{T}(V5,V8,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #93: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), class_RealVector_Oreal__normed__vector-{F}(V1), P_c_RealVector_OscaleR__class_OscaleR-{F}(V4,V3,V1,V5), P_c_RealVector_Onorm__class_Onorm-{F}(V5,V1,V6), P_c_RealVector_Onorm__class_Onorm-{F}(V4,V0,V7), P_c_RealVector_Onorm__class_Onorm-{F}(V3,V1,V8), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V0,V9), P_c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1-{F}(V2,V1,V10), P_c_HOL_Otimes__class_Otimes-{F}(V9,V10,V0,V11) | c_lessequals-{T}(V6,V11,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #94: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), class_RealVector_Oreal__normed__vector-{F}(V1), P_c_RealVector_OscaleR__class_OscaleR-{F}(V2,V3,V1,V4), P_c_RealVector_Onorm__class_Onorm-{F}(V4,V1,V5), P_c_RealVector_Onorm__class_Onorm-{F}(V2,V0,V6), P_c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1-{F}(V3,V1,V7), P_c_HOL_Otimes__class_Otimes-{F}(V6,V7,V0,V8) | c_lessequals-{T}(V5,V8,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #95: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_RealVector_Oreal__vector-{F}(V1), P_c_RealVector_OscaleR__class_OscaleR-{F}(V5,V3,V1,V7), P_c_RealVector_OscaleR__class_OscaleR-{F}(V4,V3,V1,V7), V3 == V2, V5 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #96: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Ofield-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), P_c_HOL_Oinverse__class_Odivide-{F}(V3,V2,V1,V4), V2 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #97: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_lessequals-{F}(V2,V3,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V4,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V1,V7), c_lessequals-{F}(V7,V5,V1), c_lessequals-{F}(V5,V7,V1) | c_lessequals-{T}(V6,V3,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #98: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__field-{F}(V1), class_Ring__and__Field_Odivision__by__zero-{F}(V1), c_lessequals-{F}(V3,V2,V1), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V4,V1,V6), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V1,V7), c_lessequals-{F}(V5,V7,V1), c_lessequals-{F}(V7,V5,V1) | c_lessequals-{T}(V3,V6,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #99: input, references = 3, size of lhs = 4:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__semidom-{F}(V1), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V3,V1,V4) | c_lessequals-{T}(V2,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #100: input, references = 3, size of lhs = 4:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), class_Ring__and__Field_Oordered__semidom-{F}(V1), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V3,V1,V4) | c_lessequals-{T}(V2,V4,V1)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #101: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_RealVector_Odist__class_Odist-{F}(V2,V3,V4,V5), class_RealVector_Ometric__space-{F}(V4), c_lessequals-{F}(V5,V1,V0), V2 == V3 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #102: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Ofield-{F}(V2), class_Ring__and__Field_Odivision__by__zero-{F}(V2), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V4,V2,V6), P_c_HOL_Otimes__class_Otimes-{F}(V6,V3,V2,V7), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V2,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V4,V2,V9), V7 == V9 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #103: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ozero__class_Ozero-{F}(V2,V3), class_Ring__and__Field_Ofield-{F}(V2), class_Ring__and__Field_Odivision__by__zero-{F}(V2), P_c_HOL_Otimes__class_Otimes-{F}(V4,V6,V2,V7), P_c_HOL_Otimes__class_Otimes-{F}(V4,V5,V2,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V8,V2,V9), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V5,V2,V10), V4 == V3, V9 == V10 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #104: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ozero__class_Ozero-{F}(V2,V3), class_Ring__and__Field_Ofield-{F}(V2), class_Ring__and__Field_Odivision__by__zero-{F}(V2), P_c_HOL_Otimes__class_Otimes-{F}(V6,V4,V2,V7), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V2,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V8,V2,V9), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V5,V2,V10), V4 == V3, V9 == V10 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #105: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Oordered__field-{F}(V2), class_Ring__and__Field_Odivision__by__zero-{F}(V2), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V3,V2,V5), P_c_HOL_Oabs__class_Oabs-{F}(V5,V2,V6), P_c_HOL_Oabs__class_Oabs-{F}(V4,V2,V7), P_c_HOL_Oabs__class_Oabs-{F}(V3,V2,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V8,V2,V9), V6 == V9 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #106: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), class_Ring__and__Field_Oordered__field-{F}(V2), class_Ring__and__Field_Odivision__by__zero-{F}(V2), P_c_HOL_Oinverse__class_Oinverse-{F}(V3,V2,V4), P_c_HOL_Oabs__class_Oabs-{F}(V4,V2,V5), P_c_HOL_Oabs__class_Oabs-{F}(V3,V2,V6), P_c_HOL_Oinverse__class_Oinverse-{F}(V6,V2,V7), V5 == V7 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #107: input, references = 3, size of lhs = 4:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_NthRoot_Osqrt-{F}(V2,V3), c_lessequals-{F}(V2,V1,V0) | c_lessequals-{T}(V3,V1,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #108: input, references = 4, size of lhs = 4:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_NthRoot_Osqrt-{F}(V2,V3), c_lessequals-{F}(V3,V1,V0) | c_lessequals-{T}(V2,V1,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #109: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ozero__class_Ozero-{F}(V2,V3), class_Ring__and__Field_Oordered__field-{F}(V2), class_Ring__and__Field_Odivision__by__zero-{F}(V2), P_c_HOL_Oinverse__class_Oinverse-{F}(V4,V2,V5), c_lessequals-{F}(V5,V3,V2) | c_lessequals-{T}(V4,V3,V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #110: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ozero__class_Ozero-{F}(V2,V3), class_Ring__and__Field_Oordered__field-{F}(V2), class_Ring__and__Field_Odivision__by__zero-{F}(V2), P_c_HOL_Oinverse__class_Oinverse-{F}(V4,V2,V5), c_lessequals-{F}(V4,V3,V2) | c_lessequals-{T}(V5,V3,V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #111: input, references = 5, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Otimes__class_Otimes-{F}(V2,V3,V0,V4), P_c_NthRoot_Osqrt-{F}(V4,V5), P_c_NthRoot_Osqrt-{F}(V2,V6), P_c_NthRoot_Osqrt-{F}(V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V6,V7,V0,V8), V5 == V8 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #112: input, references = 3, size of lhs = 4:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_RealDef_Oreal-{F}(V3,V2,V4) | c_lessequals-{T}(V1,V4,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #113: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__vector-{F}(V3), P_c_RealVector_OscaleR__class_OscaleR-{F}(V5,V4,V3,V7), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V7,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V0,V9), P_c_RealVector_OscaleR__class_OscaleR-{F}(V9,V4,V3,V10), V8 == V10 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #114: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V6,V3,V7), c_lessequals-{F}(V4,V7,V3) | c_lessequals-{T}(V5,V4,V3), c_lessequals-{T}(V4,V5,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #115: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V5,V3,V7), c_lessequals-{F}(V4,V7,V3) | c_lessequals-{T}(V5,V4,V3), c_lessequals-{T}(V4,V6,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #116: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V5,V3,V7), c_lessequals-{F}(V4,V7,V3) | c_lessequals-{T}(V4,V5,V3), c_lessequals-{T}(V6,V4,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #117: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V5,V3,V7), c_lessequals-{F}(V4,V7,V3) | c_lessequals-{T}(V5,V4,V3), c_lessequals-{T}(V4,V5,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #118: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__algebra__1-{F}(V3), P_c_RealVector_OscaleR__class_OscaleR-{F}(V5,V4,V3,V6), P_c_RealVector_Oof__real-{F}(V5,V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V7,V4,V3,V8), V6 == V8 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #119: input, references = 4, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Oexp-{F}(V3,V0,V4), c_lessequals-{F}(V4,V1,V0) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #120: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__normed__algebra-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V4,V5,V3,V6), P_c_RealVector_Onorm__class_Onorm-{F}(V6,V3,V7), P_c_RealVector_Onorm__class_Onorm-{F}(V4,V3,V8), P_c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1-{F}(V5,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V0,V10) | c_lessequals-{T}(V7,V10,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #121: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V6), P_c_HOL_Otimes__class_Otimes-{F}(V4,V5,V3,V7), V6 == V7 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #122: input, references = 4, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V0,V5), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V0,V6), V5 == V6 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #123: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V6), P_c_HOL_Otimes__class_Otimes-{F}(V4,V5,V3,V7), V6 == V7 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #124: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Odivision__ring-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Oinverse__class_Oinverse-{F}(V4,V3,V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V5,V3,V6), V6 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #125: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Oordered__idom-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), c_HOL_Oord__class_Oless-{F}(V6,V4,V3), P_c_HOL_Oabs__class_Oabs-{F}(V8,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V6,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V4,V3,V11), c_HOL_Oord__class_Oless-{F}(V9,V7,V3) | c_HOL_Oord__class_Oless-{T}(V10,V11,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #126: input, references = 3, size of lhs = 4:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Oexp-{F}(V3,V0,V4) | c_lessequals-{T}(V1,V4,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #127: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), c_HOL_Oord__class_Oless-{F}(V4,V7,V3), c_lessequals-{F}(V5,V6,V3), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V6,V3,V9), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V5,V3,V10), c_lessequals-{F}(V4,V8,V3) | c_lessequals-{T}(V9,V10,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #128: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), c_HOL_Oord__class_Oless-{F}(V4,V7,V3), c_lessequals-{F}(V6,V5,V3), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V6,V3,V9), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V5,V3,V10), c_lessequals-{F}(V8,V4,V3) | c_lessequals-{T}(V9,V10,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #129: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Oabs__class_Oabs-{F}(V4,V0,V5), c_lessequals-{F}(V5,V3,V0) | c_lessequals-{T}(V4,V3,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #130: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), c_lessequals-{F}(V6,V4,V3) | c_lessequals-{T}(V5,V4,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #131: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Olordered__ring-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V6), P_c_HOL_Oabs__class_Oabs-{F}(V6,V3,V7), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V8), P_c_HOL_Oabs__class_Oabs-{F}(V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V3,V10) | c_lessequals-{T}(V7,V10,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #132: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_RealVector_Oof__real-{F}(V3,V5,V7), P_c_RealVector_Oof__real-{F}(V4,V5,V7), class_RealVector_Oreal__algebra__1-{F}(V5), V3 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #133: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), c_lessequals-{F}(V5,V4,V3), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V5,V3,V7), c_lessequals-{F}(V4,V6,V3) | c_lessequals-{T}(V7,V4,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #134: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), c_lessequals-{F}(V4,V5,V3), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V5,V3,V7), c_lessequals-{F}(V6,V4,V3) | c_lessequals-{T}(V7,V4,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #135: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__normed__algebra-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V6), P_c_RealVector_Onorm__class_Onorm-{F}(V6,V3,V7), P_c_RealVector_Onorm__class_Onorm-{F}(V5,V3,V8), P_c_RealVector_Onorm__class_Onorm-{F}(V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V0,V10) | c_lessequals-{T}(V7,V10,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #136: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Oordered__idom-{F}(V3), P_c_HOL_Osgn__class_Osgn-{F}(V4,V3,V5), P_c_HOL_Oabs__class_Oabs-{F}(V4,V3,V6), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V3,V7), V7 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #137: input, references = 4, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V4,V5,V7), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V3,V5,V7), class_Nat_Osemiring__char__0-{F}(V5), V4 == V3 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #138: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), c_HOL_Oord__class_Oless-{F}(V4,V5,V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V5,V3,V9), c_lessequals-{F}(V9,V7,V3) | c_lessequals-{T}(V6,V8,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #139: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), c_HOL_Oord__class_Oless-{F}(V4,V5,V3), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V5,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V9), c_lessequals-{F}(V6,V9,V3) | c_lessequals-{T}(V8,V7,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #140: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), c_HOL_Oord__class_Oless-{F}(V4,V5,V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V5,V3,V9), c_lessequals-{F}(V7,V9,V3) | c_lessequals-{T}(V8,V6,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #141: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), c_HOL_Oord__class_Oless-{F}(V4,V5,V3), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V5,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V9), c_lessequals-{F}(V9,V6,V3) | c_lessequals-{T}(V7,V8,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #142: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), c_HOL_Oord__class_Oless-{F}(V4,V5,V3), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V5,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V9), c_lessequals-{F}(V7,V9,V3) | c_lessequals-{T}(V8,V6,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #143: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), c_HOL_Oord__class_Oless-{F}(V4,V5,V3), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V5,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V9), c_lessequals-{F}(V9,V7,V3) | c_lessequals-{T}(V6,V8,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #144: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__normed__field-{F}(V3), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V5,V3,V6), P_c_RealVector_Onorm__class_Onorm-{F}(V6,V3,V7), P_c_RealVector_Onorm__class_Onorm-{F}(V4,V3,V8), P_c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1-{F}(V5,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V0,V10) | c_lessequals-{T}(V7,V10,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #145: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_RealDef_Oreal-{F}(V3,V2,V6), P_c_RealDef_Oreal-{F}(V4,V2,V6), V3 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #146: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), c_HOL_Oord__class_Oless-{F}(V5,V4,V3), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V5,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V9), c_lessequals-{F}(V9,V6,V3), c_lessequals-{F}(V6,V9,V3) | c_lessequals-{T}(V8,V7,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #147: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), c_HOL_Oord__class_Oless-{F}(V5,V4,V3), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V5,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V9), c_lessequals-{F}(V6,V9,V3), c_lessequals-{F}(V9,V6,V3) | c_lessequals-{T}(V7,V8,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #148: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Ometric__space-{F}(V3), P_c_RealVector_Odist__class_Odist-{F}(V4,V4,V3,V5) | c_lessequals-{T}(V5,V1,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #149: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V11), P_c_HOL_Otimes__class_Otimes-{F}(V6,V4,V3,V12), P_c_HOL_Otimes__class_Otimes-{F}(V11,V12,V3,V13), V10 == V13 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #150: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V6,V9,V3,V11), P_c_HOL_Otimes__class_Otimes-{F}(V7,V11,V3,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #151: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ocomm__semiring__1-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V4,V3,V11), P_c_HOL_Otimes__class_Otimes-{F}(V5,V11,V3,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #152: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), c_lessequals-{F}(V6,V4,V3), V5 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #153: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_SEQ_Obanach-{F}(V3), class_RealVector_Oreal__normed__field-{F}(V3), P_c_RealVector_Oof__real-{F}(V4,V3,V5), P_c_Transcendental_Oexp-{F}(V5,V3,V6), P_c_Transcendental_Oexp-{F}(V4,V0,V7), P_c_RealVector_Oof__real-{F}(V7,V3,V8), V6 == V8 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #154: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Ofield-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V5,V3,V8), V5 == V4, V8 == V6 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #155: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Ofield-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V5,V3,V8), V5 == V4, V6 == V8 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #156: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Ofield-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V5,V3,V8), V5 == V4, V8 == V6 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #157: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Ofield-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V5,V3,V8), V5 == V4, V6 == V8 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #158: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Oexp-{F}(V3,V0,V5), P_c_Transcendental_Oexp-{F}(V4,V0,V6), c_lessequals-{F}(V5,V6,V0) | c_lessequals-{T}(V3,V4,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #159: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Oexp-{F}(V3,V0,V5), P_c_Transcendental_Oexp-{F}(V4,V0,V6), c_lessequals-{F}(V3,V4,V0) | c_lessequals-{T}(V5,V6,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #160: input, references = 4, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), c_lessequals-{F}(V4,V3,V0), c_lessequals-{F}(V3,V4,V0), V3 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #161: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Oorder-{F}(V5), c_lessequals-{F}(V4,V3,V5), c_lessequals-{F}(V3,V4,V5), V3 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #162: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Oorder-{F}(V5), c_lessequals-{F}(V4,V3,V5), c_lessequals-{F}(V3,V4,V5), V3 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #163: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Oorder-{F}(V5), c_lessequals-{F}(V3,V4,V5), c_lessequals-{F}(V4,V3,V5), V3 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #164: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), c_lessequals-{F}(V4,V5,V3), V6 == V5 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #165: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Oordered__idom-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V6), P_c_HOL_Oabs__class_Oabs-{F}(V6,V3,V7), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V8), P_c_HOL_Oabs__class_Oabs-{F}(V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V3,V10), V7 == V10 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #166: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Opordered__ring__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), c_lessequals-{F}(V4,V5,V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V8), P_c_HOL_Oabs__class_Oabs-{F}(V8,V3,V9), P_c_HOL_Oabs__class_Oabs-{F}(V7,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V10,V6,V3,V11), c_lessequals-{F}(V4,V7,V3), V9 == V11 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #167: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Opordered__ring__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), c_lessequals-{F}(V5,V4,V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V8), P_c_HOL_Oabs__class_Oabs-{F}(V8,V3,V9), P_c_HOL_Oabs__class_Oabs-{F}(V7,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V10,V6,V3,V11), c_lessequals-{F}(V4,V7,V3), V9 == V11 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #168: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Opordered__ring__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), c_lessequals-{F}(V4,V5,V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V8), P_c_HOL_Oabs__class_Oabs-{F}(V8,V3,V9), P_c_HOL_Oabs__class_Oabs-{F}(V7,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V10,V6,V3,V11), c_lessequals-{F}(V7,V4,V3), V9 == V11 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #169: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Opordered__ring__abs-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), c_lessequals-{F}(V5,V4,V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V8), P_c_HOL_Oabs__class_Oabs-{F}(V8,V3,V9), P_c_HOL_Oabs__class_Oabs-{F}(V7,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V10,V6,V3,V11), c_lessequals-{F}(V7,V4,V3), V9 == V11 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #170: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ofield-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V6,V3,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V3,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V11), P_c_HOL_Otimes__class_Otimes-{F}(V6,V4,V3,V12), P_c_HOL_Oinverse__class_Odivide-{F}(V11,V12,V3,V13), V10 == V13 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #171: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Oab__semigroup__idem__mult-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V3,V6), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V3,V7), V7 == V6 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #172: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__ring__strict-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V3,V7), c_lessequals-{F}(V7,V4,V3) | c_lessequals-{T}(V5,V4,V3), c_lessequals-{T}(V4,V5,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #173: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__ring__strict-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), c_lessequals-{F}(V7,V4,V3) | c_lessequals-{T}(V4,V5,V3), c_lessequals-{T}(V4,V6,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #174: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__ring__strict-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), c_lessequals-{F}(V7,V4,V3) | c_lessequals-{T}(V5,V4,V3), c_lessequals-{T}(V6,V4,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #175: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__ring__strict-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), c_lessequals-{F}(V7,V4,V3) | c_lessequals-{T}(V4,V5,V3), c_lessequals-{T}(V5,V4,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #176: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_NthRoot_Osqrt-{F}(V3,V4), c_lessequals-{F}(V1,V3,V0) | c_lessequals-{T}(V1,V4,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #177: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_NthRoot_Osqrt-{F}(V3,V4), c_lessequals-{F}(V1,V4,V0) | c_lessequals-{T}(V1,V3,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #178: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_NthRoot_Osqrt-{F}(V3,V4), c_lessequals-{F}(V1,V3,V0) | c_lessequals-{T}(V1,V4,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #179: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_NthRoot_Osqrt-{F}(V3,V6), P_c_NthRoot_Osqrt-{F}(V4,V6), V3 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #180: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Oexp-{F}(V3,V0,V6), P_c_Transcendental_Oexp-{F}(V4,V0,V6), V3 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #181: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Ofield-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Oinverse__class_Odivide-{F}(V5,V4,V3,V6), P_c_HOL_Oinverse__class_Oinverse-{F}(V6,V3,V7), P_c_HOL_Oinverse__class_Odivide-{F}(V4,V5,V3,V8), V7 == V8 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #182: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Omult__mono1-{F}(V3), c_lessequals-{F}(V4,V5,V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V7,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V3,V9), c_lessequals-{F}(V7,V6,V3) | c_lessequals-{T}(V8,V9,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #183: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Omult__mono-{F}(V3), c_lessequals-{F}(V4,V5,V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V7,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V3,V9), c_lessequals-{F}(V7,V6,V3) | c_lessequals-{T}(V8,V9,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #184: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Omult__mono-{F}(V3), c_lessequals-{F}(V4,V5,V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V9), c_lessequals-{F}(V7,V6,V3) | c_lessequals-{T}(V8,V9,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #185: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Opordered__ring-{F}(V3), c_lessequals-{F}(V5,V4,V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V7,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V3,V9), c_lessequals-{F}(V6,V7,V3) | c_lessequals-{T}(V8,V9,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #186: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Opordered__ring-{F}(V3), c_lessequals-{F}(V5,V4,V3), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V3,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V9), c_lessequals-{F}(V6,V7,V3) | c_lessequals-{T}(V8,V9,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #187: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Ometric__space-{F}(V3), P_c_RealVector_Odist__class_Odist-{F}(V5,V4,V3,V6) | c_lessequals-{T}(V1,V6,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #188: input, references = 4, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_RealDef_Oreal-{F}(V3,V2,V4), P_c_HOL_Oabs__class_Oabs-{F}(V4,V0,V5), V5 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #189: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_OrderedGroup_Oab__semigroup__idem__mult-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V4,V4,V3,V5), V5 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #190: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Odivision__ring-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), P_c_HOL_Oinverse__class_Oinverse-{F}(V5,V3,V7), P_c_HOL_Oinverse__class_Oinverse-{F}(V4,V3,V7), V5 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #191: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__algebra__1-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V4,V0,V6), P_c_RealVector_Oof__real-{F}(V6,V3,V7), P_c_RealVector_Oof__real-{F}(V5,V3,V8), P_c_RealVector_Oof__real-{F}(V4,V3,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V3,V10), V7 == V10 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #192: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), c_lessequals-{F}(V4,V5,V3), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V5,V3,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V5,V3,V9), c_lessequals-{F}(V7,V6,V3) | c_lessequals-{T}(V8,V9,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #193: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Oordered__field-{F}(V3), class_Ring__and__Field_Odivision__by__zero-{F}(V3), c_lessequals-{F}(V5,V4,V3), P_c_HOL_Oinverse__class_Odivide-{F}(V6,V5,V3,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V5,V3,V9), c_lessequals-{F}(V7,V6,V3) | c_lessequals-{T}(V8,V9,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #194: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), class_Ring__and__Field_Opordered__ring-{F}(V3), c_lessequals-{F}(V4,V5,V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), c_lessequals-{F}(V4,V6,V3) | c_lessequals-{T}(V4,V7,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #195: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Oorder-{F}(V3), c_HOL_Oord__class_Oless-{F}(V5,V4,V3) | c_lessequals-{T}(V5,V4,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #196: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Opreorder-{F}(V3), c_lessequals-{F}(V5,V4,V3) | c_HOL_Oord__class_Oless-{T}(V5,V4,V3), c_lessequals-{T}(V4,V5,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #197: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Oordered__idom-{F}(V3), P_c_HOL_Oabs__class_Oabs-{F}(V5,V3,V6), c_HOL_Oord__class_Oless-{F}(V6,V4,V3) | c_HOL_Oord__class_Oless-{T}(V5,V4,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #198: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Oordered__ring__strict-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V4,V6,V3,V8), c_HOL_Oord__class_Oless-{F}(V7,V8,V3) | c_HOL_Oord__class_Oless-{T}(V4,V5,V3), c_HOL_Oord__class_Oless-{T}(V5,V4,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #199: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Ring__and__Field_Oordered__ring__strict-{F}(V3), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V3,V7), P_c_HOL_Otimes__class_Otimes-{F}(V6,V4,V3,V8), c_HOL_Oord__class_Oless-{F}(V7,V8,V3) | c_HOL_Oord__class_Oless-{T}(V4,V5,V3), c_HOL_Oord__class_Oless-{T}(V5,V4,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #200: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Oorder-{F}(V5), c_lessequals-{F}(V4,V3,V5), V3 == V4 | c_HOL_Oord__class_Oless-{T}(V4,V3,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #201: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Oorder-{F}(V5), c_lessequals-{F}(V4,V3,V5), V3 == V4 | c_HOL_Oord__class_Oless-{T}(V4,V3,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #202: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Olinorder-{F}(V5), c_lessequals-{F}(V3,V4,V5), V3 == V4 | c_HOL_Oord__class_Oless-{T}(V3,V4,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #203: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Olinorder-{F}(V5), c_lessequals-{F}(V3,V4,V5), V3 == V4 | c_HOL_Oord__class_Oless-{T}(V3,V4,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #204: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Oorder-{F}(V5), c_lessequals-{F}(V3,V4,V5), V3 == V4 | c_HOL_Oord__class_Oless-{T}(V3,V4,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #205: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Oorder-{F}(V5), c_lessequals-{F}(V3,V4,V5), V3 == V4 | c_HOL_Oord__class_Oless-{T}(V3,V4,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #206: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Oorder-{F}(V5), c_lessequals-{F}(V3,V4,V5), V3 == V4 | c_HOL_Oord__class_Oless-{T}(V3,V4,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #207: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Oorder-{F}(V5), c_lessequals-{F}(V3,V4,V5), V3 == V4 | c_HOL_Oord__class_Oless-{T}(V3,V4,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #208: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Opreorder-{F}(V3), c_lessequals-{F}(V4,V5,V3), c_HOL_Oord__class_Oless-{F}(V5,V4,V3) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #209: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Olinorder-{F}(V3), #-{F} V4, #-{F} V5 | c_HOL_Oord__class_Oless-{T}(V5,V4,V3), c_lessequals-{T}(V4,V5,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #210: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Olinorder-{F}(V3), c_lessequals-{F}(V4,V4,V3), c_HOL_Oord__class_Oless-{F}(V4,V4,V3) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #211: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Olinorder-{F}(V3), #-{F} V4 | c_HOL_Oord__class_Oless-{T}(V4,V4,V3), c_lessequals-{T}(V4,V4,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #212: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Olinorder-{F}(V3), c_HOL_Oord__class_Oless-{F}(V5,V4,V3), c_lessequals-{F}(V4,V5,V3) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #213: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Olinorder-{F}(V3), #-{F} V4, #-{F} V5 | c_lessequals-{T}(V4,V5,V3), c_HOL_Oord__class_Oless-{T}(V5,V4,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #214: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Olinorder-{F}(V3), #-{F} V4, #-{F} V5 | c_HOL_Oord__class_Oless-{T}(V4,V5,V3), c_lessequals-{T}(V5,V4,V3)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #215: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_Orderings_Olinorder-{F}(V3), c_lessequals-{F}(V5,V4,V3), c_HOL_Oord__class_Oless-{F}(V4,V5,V3) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #216: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_RealVector_OscaleR__class_OscaleR-{F}(V5,V3,V6,V8), P_c_RealVector_OscaleR__class_OscaleR-{F}(V5,V4,V6,V8), class_RealVector_Oreal__vector-{F}(V6), V3 == V4, V5 == V1 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #217: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), class_RealVector_Oreal__vector-{F}(V3), P_c_RealVector_OscaleR__class_OscaleR-{F}(V1,V5,V3,V6), P_c_RealVector_OscaleR__class_OscaleR-{F}(V1,V4,V3,V7), V6 == V7 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #218: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Otimes__class_Otimes-{F}(V5,V3,V0,V7), P_c_HOL_Otimes__class_Otimes-{F}(V4,V3,V0,V7), V3 == V1, V5 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #219: input, references = 5, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Otimes__class_Otimes-{F}(V3,V5,V0,V7), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V0,V7), V3 == V1, V5 == V4 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #220: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_NthRoot_Osqrt-{F}(V3,V1), V3 == V1 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #221: input, references = 3, size of lhs = 4:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V1) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #222: input, references = 4, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), V4 == V1 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #223: input, references = 4, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_NthRoot_Oroot-{F}(V5,V1,V6), V6 == V1 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #224: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Ometric__space-{F}(V5), P_c_RealVector_Odist__class_Odist-{F}(V6,V6,V5,V7), V7 == V1 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #225: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_RealVector_Odist__class_Odist-{F}(V5,V6,V7,V1), class_RealVector_Ometric__space-{F}(V7), V5 == V6 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #226: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Oln-{F}(V5,V6), c_HOL_Oord__class_Oless-{F}(V1,V5,V0), P_c_Transcendental_Oln-{F}(V7,V8), c_lessequals-{F}(V7,V5,V0), c_HOL_Oord__class_Oless-{F}(V1,V7,V0) | c_lessequals-{T}(V8,V6,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #227: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Oln-{F}(V5,V6), c_HOL_Oord__class_Oless-{F}(V1,V5,V0), P_c_Transcendental_Oln-{F}(V7,V8), c_lessequals-{F}(V8,V6,V0), c_HOL_Oord__class_Oless-{F}(V1,V7,V0) | c_lessequals-{T}(V7,V5,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #228: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), c_lessequals-{F}(V5,V1,V0), P_c_RealDef_Oreal__of__preal-{F}(V6,V7) | c_HOL_Oord__class_Oless-{T}(V5,V7,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #229: input, references = 6, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Oln-{F}(V5,V6), P_c_Transcendental_Oexp-{F}(V6,V0,V7), c_HOL_Oord__class_Oless-{F}(V1,V5,V0), V7 == V5 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #230: input, references = 4, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Oln-{F}(V5,V6), P_c_Transcendental_Oexp-{F}(V6,V0,V5) | c_HOL_Oord__class_Oless-{T}(V1,V5,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #231: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), c_HOL_Oord__class_Oless-{F}(V1,V5,V0), P_c_HOL_Otimes__class_Otimes-{F}(V5,V7,V0,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V0,V9), c_lessequals-{F}(V7,V6,V0) | c_lessequals-{T}(V8,V9,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #232: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), c_HOL_Oord__class_Oless-{F}(V1,V5,V0), P_c_HOL_Otimes__class_Otimes-{F}(V5,V7,V0,V8), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V0,V9), c_lessequals-{F}(V8,V9,V0) | c_lessequals-{T}(V7,V6,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #233: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), c_HOL_Oord__class_Oless-{F}(V1,V5,V0), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V0,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V0,V9), c_lessequals-{F}(V7,V6,V0) | c_lessequals-{T}(V8,V9,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #234: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), c_HOL_Oord__class_Oless-{F}(V1,V5,V0), P_c_HOL_Otimes__class_Otimes-{F}(V7,V5,V0,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V5,V0,V9), c_lessequals-{F}(V8,V9,V0) | c_lessequals-{T}(V7,V6,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #235: input, references = 8, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), c_HOL_Oord__class_Oless-{F}(V5,V6,V0) | c_lessequals-{T}(V5,V6,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #236: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Oexp-{F}(V5,V0,V7), P_c_Transcendental_Oexp-{F}(V6,V0,V8), c_HOL_Oord__class_Oless-{F}(V7,V8,V0) | c_HOL_Oord__class_Oless-{T}(V5,V6,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #237: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Oexp-{F}(V5,V0,V7), P_c_Transcendental_Oexp-{F}(V6,V0,V8), c_HOL_Oord__class_Oless-{F}(V5,V6,V0) | c_HOL_Oord__class_Oless-{T}(V7,V8,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #238: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), c_lessequals-{F}(V5,V6,V0), V5 == V6 | c_HOL_Oord__class_Oless-{T}(V5,V6,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #239: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_NthRoot_Osqrt-{F}(V5,V7), P_c_NthRoot_Osqrt-{F}(V6,V8), c_HOL_Oord__class_Oless-{F}(V7,V8,V0) | c_HOL_Oord__class_Oless-{T}(V5,V6,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #240: input, references = 4, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_NthRoot_Osqrt-{F}(V5,V7), P_c_NthRoot_Osqrt-{F}(V6,V8), c_HOL_Oord__class_Oless-{F}(V5,V6,V0) | c_HOL_Oord__class_Oless-{T}(V7,V8,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #241: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra-{F}(V5), P_c_RealVector_Onorm__class_Onorm-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V8,V6,V0), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V11,V5,V12), P_c_HOL_Otimes__class_Otimes-{F}(V10,V6,V0,V13), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V5,V14), c_HOL_Oord__class_Oless-{F}(V14,V10,V0) | c_HOL_Oord__class_Oless-{T}(V12,V13,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #242: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__vector-{F}(V5), P_c_RealVector_Onorm__class_Onorm-{F}(V6,V5,V7), P_c_HOL_Oabs__class_Oabs-{F}(V7,V0,V8), V8 == V7 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #243: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), c_lessequals-{F}(V5,V1,V0), P_c_HOL_Ozero__class_Ozero-{F}(V6,V7), class_RealVector_Oreal__normed__vector-{F}(V6), P_c_RealVector_Onorm__class_Onorm-{F}(V8,V6,V9), P_c_RealVector_Onorm__class_Onorm-{F}(V10,V6,V11), P_c_HOL_Otimes__class_Otimes-{F}(V5,V11,V0,V12), c_lessequals-{F}(V9,V12,V0), V8 == V7 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #244: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V11), c_HOL_Oord__class_Oless-{F}(V10,V11,V5) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5), c_HOL_Oord__class_Oless-{T}(V9,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #245: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V11), c_HOL_Oord__class_Oless-{F}(V10,V11,V5) | c_HOL_Oord__class_Oless-{T}(V6,V7,V5), c_HOL_Oord__class_Oless-{T}(V8,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #246: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V11), c_HOL_Oord__class_Oless-{F}(V10,V11,V5) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5), c_HOL_Oord__class_Oless-{T}(V9,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #247: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V11), c_HOL_Oord__class_Oless-{F}(V10,V11,V5) | c_HOL_Oord__class_Oless-{T}(V6,V7,V5), c_HOL_Oord__class_Oless-{T}(V8,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #248: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V8,V6,V5) | c_HOL_Oord__class_Oless-{T}(V9,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #249: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V6,V8,V5) | c_HOL_Oord__class_Oless-{T}(V9,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #250: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V6,V8,V5) | c_HOL_Oord__class_Oless-{T}(V9,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #251: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V8,V6,V5) | c_HOL_Oord__class_Oless-{T}(V9,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #252: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_HOL_Oabs__class_Oabs-{F}(V6,V5,V7), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), c_HOL_Oord__class_Oless-{F}(V6,V7,V5) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #253: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oabs__if-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), V8 == V7 | c_HOL_Oord__class_Oless-{T}(V7,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #254: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Orderings_Olinorder-{F}(V5), class_OrderedGroup_Olordered__ab__group__add__abs-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), V8 == V7 | c_HOL_Oord__class_Oless-{T}(V7,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #255: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V8,V6,V5) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #256: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V7,V6,V5) | c_HOL_Oord__class_Oless-{T}(V8,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #257: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V7,V6,V5) | c_HOL_Oord__class_Oless-{T}(V8,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #258: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V8,V6,V5) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #259: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), V7 == V6 | c_HOL_Oord__class_Oless-{T}(V6,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #260: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V9,V5,V10), c_HOL_Oord__class_Oless-{F}(V9,V7,V5) | c_HOL_Oord__class_Oless-{T}(V8,V10,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #261: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V9,V5,V10), c_HOL_Oord__class_Oless-{F}(V10,V8,V5) | c_HOL_Oord__class_Oless-{T}(V7,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #262: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V9,V5,V10), c_HOL_Oord__class_Oless-{F}(V7,V9,V5) | c_HOL_Oord__class_Oless-{T}(V10,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #263: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V9,V5,V10), c_HOL_Oord__class_Oless-{F}(V8,V10,V5) | c_HOL_Oord__class_Oless-{T}(V9,V7,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #264: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V6,V8,V5), V7 == V6 | c_HOL_Oord__class_Oless-{T}(V6,V7,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #265: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V8,V6,V5) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #266: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V10), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V11), c_HOL_Oord__class_Oless-{F}(V8,V9,V5) | c_HOL_Oord__class_Oless-{T}(V10,V11,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #267: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V10), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V11), c_HOL_Oord__class_Oless-{F}(V9,V8,V5) | c_HOL_Oord__class_Oless-{T}(V10,V11,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #268: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__idom-{F}(V5), P_c_HOL_Osgn__class_Osgn-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V7,V6,V5) | c_HOL_Oord__class_Oless-{T}(V8,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #269: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__idom-{F}(V5), P_c_HOL_Osgn__class_Osgn-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V8,V6,V5) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #270: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V8,V6,V5) | c_HOL_Oord__class_Oless-{T}(V6,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #271: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V6,V8,V5) | c_HOL_Oord__class_Oless-{T}(V6,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #272: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V6,V8,V5) | c_HOL_Oord__class_Oless-{T}(V6,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #273: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V8,V6,V5) | c_HOL_Oord__class_Oless-{T}(V6,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #274: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V11), c_HOL_Oord__class_Oless-{F}(V10,V11,V5) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5), c_HOL_Oord__class_Oless-{T}(V6,V7,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #275: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V11), c_HOL_Oord__class_Oless-{F}(V10,V11,V5) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5), c_HOL_Oord__class_Oless-{T}(V6,V7,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #276: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_HOL_Oord__class_Oless-{F}(V8,V6,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V10) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5), c_HOL_Oord__class_Oless-{T}(V6,V7,V5), c_HOL_Oord__class_Oless-{T}(V8,V10,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #277: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V10), c_HOL_Oord__class_Oless-{F}(V8,V10,V5) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5), c_HOL_Oord__class_Oless-{T}(V6,V7,V5), c_HOL_Oord__class_Oless-{T}(V8,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #278: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_HOL_Oord__class_Oless-{F}(V6,V8,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V10) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5), c_HOL_Oord__class_Oless-{T}(V6,V7,V5), c_HOL_Oord__class_Oless-{T}(V10,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #279: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V10), c_HOL_Oord__class_Oless-{F}(V10,V8,V5) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5), c_HOL_Oord__class_Oless-{T}(V6,V7,V5), c_HOL_Oord__class_Oless-{T}(V6,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #280: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V6,V9,V5) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5), c_HOL_Oord__class_Oless-{T}(V6,V7,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #281: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V6,V9,V5) | c_HOL_Oord__class_Oless-{T}(V6,V7,V5), c_HOL_Oord__class_Oless-{T}(V8,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #282: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V6,V9,V5) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5), c_HOL_Oord__class_Oless-{T}(V6,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #283: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V8,V5,V9), c_HOL_Oord__class_Oless-{F}(V6,V9,V5) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5), c_HOL_Oord__class_Oless-{T}(V6,V7,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #284: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V8,V6,V5), V7 == V6 | c_HOL_Oord__class_Oless-{T}(V7,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #285: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__semiring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V9), c_HOL_Oord__class_Oless-{F}(V6,V8,V5) | c_HOL_Oord__class_Oless-{T}(V9,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #286: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__semiring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V6,V8,V5) | c_HOL_Oord__class_Oless-{T}(V9,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #287: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__semiring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V8,V6,V5) | c_HOL_Oord__class_Oless-{T}(V9,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #288: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__semiring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V9), c_HOL_Oord__class_Oless-{F}(V6,V8,V5), c_HOL_Oord__class_Oless-{F}(V6,V9,V5) | c_HOL_Oord__class_Oless-{T}(V6,V7,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #289: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__semiring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V6,V8,V5), c_HOL_Oord__class_Oless-{F}(V6,V9,V5) | c_HOL_Oord__class_Oless-{T}(V6,V7,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #290: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__semiring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V6,V8,V5) | c_HOL_Oord__class_Oless-{T}(V6,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #291: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V8,V6,V5) | c_HOL_Oord__class_Oless-{T}(V6,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #292: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__idom-{F}(V5), P_c_HOL_Osgn__class_Osgn-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V6,V7,V5) | c_HOL_Oord__class_Oless-{T}(V6,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #293: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__idom-{F}(V5), P_c_HOL_Osgn__class_Osgn-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V6,V8,V5) | c_HOL_Oord__class_Oless-{T}(V6,V7,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #294: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), V8 == V7 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #295: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__ring-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V6,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #296: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__ring-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V6,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #297: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V7,V5,V8) | c_lessequals-{T}(V6,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #298: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V6,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #299: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V6,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #300: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__cancel__semiring-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V6,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #301: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Oab__semigroup__mult-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V6,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V8,V11,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #302: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ocomm__semiring__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V6,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V6,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V11,V7,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #303: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ocomm__semiring__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V6,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V8,V11,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #304: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ocomm__semiring__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V11,V6,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #305: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ocomm__semiring__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V6,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V7,V11,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #306: input, references = 4, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V0,V8), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V0,V9), P_c_HOL_Otimes__class_Otimes-{F}(V6,V7,V0,V10), P_c_HOL_Otimes__class_Otimes-{F}(V5,V10,V0,V11), V9 == V11 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #307: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ocomm__semiring__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V11,V6,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #308: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V9), c_lessequals-{F}(V6,V9,V5) | c_lessequals-{T}(V7,V6,V5), c_lessequals-{T}(V6,V7,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #309: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V9,V5) | c_lessequals-{T}(V7,V6,V5), c_lessequals-{T}(V6,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #310: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V9,V5) | c_lessequals-{T}(V6,V7,V5), c_lessequals-{T}(V8,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #311: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V9,V5) | c_lessequals-{T}(V7,V6,V5), c_lessequals-{T}(V6,V7,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #312: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__semiring-{F}(V5), c_lessequals-{F}(V6,V7,V5), c_lessequals-{F}(V7,V8,V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V8,V5,V10), c_lessequals-{F}(V6,V9,V5), P_c_HOL_Otimes__class_Otimes-{F}(V11,V7,V5,V12), c_lessequals-{F}(V11,V9,V5) | c_lessequals-{T}(V12,V10,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #313: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__semiring-{F}(V5), c_lessequals-{F}(V6,V7,V5), c_lessequals-{F}(V7,V8,V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), c_lessequals-{F}(V6,V9,V5), P_c_HOL_Otimes__class_Otimes-{F}(V11,V8,V5,V12), c_lessequals-{F}(V9,V11,V5) | c_lessequals-{T}(V10,V12,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #314: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oordered__idom-{F}(V5), P_c_HOL_Osgn__class_Osgn-{F}(V6,V5,V7), P_c_HOL_Osgn__class_Osgn-{F}(V7,V5,V8), V8 == V7 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #315: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oordered__idom-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V6,V5,V7), P_c_HOL_Osgn__class_Osgn-{F}(V6,V5,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V8,V5,V9), V7 == V9 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #316: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V5,V10), P_c_RealVector_Onorm__class_Onorm-{F}(V8,V5,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V7,V5,V12), P_c_HOL_Otimes__class_Otimes-{F}(V11,V12,V0,V13), P_c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1-{F}(V6,V5,V14), P_c_HOL_Otimes__class_Otimes-{F}(V13,V14,V0,V15) | c_lessequals-{T}(V10,V15,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #317: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V8), P_c_RealVector_Onorm__class_Onorm-{F}(V8,V5,V9), P_c_RealVector_Onorm__class_Onorm-{F}(V6,V5,V10), P_c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1-{F}(V7,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V10,V11,V0,V12) | c_lessequals-{T}(V9,V12,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #318: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oordered__idom-{F}(V5), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V6,V5,V7), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), V8 == V7 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #319: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V9,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #320: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V9,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #321: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__cancel__semiring-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V9,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #322: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__cancel__semiring-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V9,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #323: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__cancel__semiring-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V9,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #324: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__cancel__semiring-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V9,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #325: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Opordered__cancel__semiring-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V9,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #326: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ofield-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V8), P_c_HOL_Oinverse__class_Oinverse-{F}(V8,V5,V9), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V10), P_c_HOL_Oinverse__class_Oinverse-{F}(V6,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V10,V11,V5,V12), V9 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #327: input, references = 3, size of lhs = 15:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Odivision__ring-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Oinverse__class_Oinverse-{F}(V10,V5,V11), P_c_HOL_Oinverse__class_Oinverse-{F}(V9,V5,V12), P_c_HOL_Otimes__class_Otimes-{F}(V8,V12,V5,V13), V7 == V6, V11 == V13, V9 == V6 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #328: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_HOL_Oabs__class_Oabs-{F}(V6,V5,V7), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5) | c_lessequals-{T}(V7,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #329: input, references = 4, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Oexp-{F}(V5,V0,V6), P_c_Transcendental_Oln-{F}(V6,V7), V7 == V5 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #330: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Oexp-{F}(V5,V0,V6), P_c_Transcendental_Oln-{F}(V6,V7), V7 == V5 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #331: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Oexp-{F}(V5,V0,V6), P_c_Transcendental_Oln-{F}(V6,V7), V7 == V5 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #332: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V10,V7,V5,V11), c_lessequals-{F}(V9,V10,V5) | c_HOL_Oord__class_Oless-{T}(V6,V7,V5), c_lessequals-{T}(V11,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #333: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V10,V7,V5,V11), c_lessequals-{F}(V10,V9,V5) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5), c_lessequals-{T}(V11,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #334: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V10,V7,V5,V11), c_lessequals-{F}(V10,V9,V5) | c_HOL_Oord__class_Oless-{T}(V6,V7,V5), c_lessequals-{T}(V8,V11,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #335: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V10,V7,V5,V11), c_lessequals-{F}(V9,V10,V5) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5), c_lessequals-{T}(V8,V11,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #336: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Ometric__space-{F}(V5), P_c_RealVector_Odist__class_Odist-{F}(V7,V6,V5,V8), P_c_RealVector_Odist__class_Odist-{F}(V6,V7,V5,V9), V8 == V9 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #337: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__vector-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V7,V5,V9), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V5,V10), P_c_RealVector_Onorm__class_Onorm-{F}(V7,V5,V11), P_c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1-{F}(V6,V8,V5,V12), P_c_HOL_Otimes__class_Otimes-{F}(V11,V12,V0,V13) | c_lessequals-{T}(V10,V13,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #338: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V7,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V6,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V11,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #339: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V7,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V6,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V11,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #340: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V6,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V11,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #341: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V7,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V6,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V6,V7,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V11,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #342: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__algebra-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V7,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V6,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V11,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #343: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__algebra-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V6,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V11,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #344: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__vector-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V7,V6,V5,V8), P_c_RealVector_Onorm__class_Onorm-{F}(V8,V5,V9), P_c_HOL_Oabs__class_Oabs-{F}(V7,V0,V10), P_c_RealVector_Onorm__class_Onorm-{F}(V6,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V10,V11,V0,V12), V9 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #345: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), P_c_HOL_Oabs__class_Oabs-{F}(V8,V5,V9), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V10), P_c_HOL_Oinverse__class_Oinverse-{F}(V10,V5,V11), V9 == V11, V7 == V6 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #346: input, references = 3, size of lhs = 14:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V10), P_c_HOL_Oabs__class_Oabs-{F}(V10,V5,V11), P_c_HOL_Oabs__class_Oabs-{F}(V9,V5,V12), P_c_HOL_Oinverse__class_Odivide-{F}(V12,V8,V5,V13), V7 == V6, V11 == V13 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #347: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_NthRoot_Osqrt-{F}(V5,V1), c_lessequals-{F}(V1,V5,V0), V5 == V1 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #348: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_NthRoot_Osqrt-{F}(V5,V7), P_c_NthRoot_Osqrt-{F}(V6,V8), c_lessequals-{F}(V5,V6,V0) | c_lessequals-{T}(V7,V8,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #349: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_NthRoot_Osqrt-{F}(V5,V7), P_c_NthRoot_Osqrt-{F}(V6,V8), c_lessequals-{F}(V7,V8,V0) | c_lessequals-{T}(V5,V6,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #350: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__field-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V7,V5,V9), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V6,V5,V10), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V6,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V11,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #351: input, references = 5, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), c_lessequals-{F}(V5,V1,V0), P_c_HOL_Oabs__class_Oabs-{F}(V6,V0,V7), P_c_HOL_Oabs__class_Oabs-{F}(V8,V0,V9), P_c_HOL_Otimes__class_Otimes-{F}(V5,V9,V0,V10), c_lessequals-{F}(V7,V10,V0), V6 == V1 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #352: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V6,V7,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #353: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_lessequals-{F}(V6,V7,V5) | c_lessequals-{T}(V6,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #354: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra__1-{F}(V5), P_c_RealVector_Oof__real-{F}(V6,V5,V7), P_c_RealVector_Onorm__class_Onorm-{F}(V7,V5,V8), P_c_HOL_Oabs__class_Oabs-{F}(V6,V0,V9), V8 == V9 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #355: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V6,V5,V7), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8), V8 == V7 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #356: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__vector-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V6,V5,V9), P_c_RealVector_OscaleR__class_OscaleR-{F}(V7,V9,V5,V10), P_c_RealVector_OscaleR__class_OscaleR-{F}(V7,V6,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V11,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #357: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__vector-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V7,V6,V5,V9), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V9,V5,V10), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V6,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V7,V11,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #358: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__vector-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V7,V5,V9), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V9,V5,V10), P_c_RealVector_OscaleR__class_OscaleR-{F}(V6,V7,V5,V11), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V11,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #359: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V8,V5,V9), c_lessequals-{F}(V9,V6,V5) | c_lessequals-{T}(V7,V6,V5), c_lessequals-{T}(V6,V7,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #360: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_lessequals-{F}(V9,V6,V5) | c_lessequals-{T}(V6,V7,V5), c_lessequals-{T}(V6,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #361: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_lessequals-{F}(V9,V6,V5) | c_lessequals-{T}(V7,V6,V5), c_lessequals-{T}(V8,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #362: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_lessequals-{F}(V9,V6,V5) | c_lessequals-{T}(V6,V7,V5), c_lessequals-{T}(V7,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #363: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__div__algebra-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V8), P_c_RealVector_Onorm__class_Onorm-{F}(V8,V5,V9), P_c_RealVector_Onorm__class_Onorm-{F}(V7,V5,V10), P_c_RealVector_Onorm__class_Onorm-{F}(V6,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V10,V11,V0,V12), V9 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #364: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V6,V5,V7) | c_lessequals-{T}(V6,V7,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #365: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V6,V7,V5,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), V6 == V9 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #366: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Oexp-{F}(V5,V0,V6), P_c_HOL_Oabs__class_Oabs-{F}(V6,V0,V7), V7 == V6 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #367: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oordered__idom-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V6,V5,V7), P_c_HOL_Otimes__class_Otimes-{F}(V7,V7,V5,V8), P_c_HOL_Otimes__class_Otimes-{F}(V6,V6,V5,V9), V8 == V9 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #368: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), V7 == V6, V8 == V10 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #369: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), V7 == V6, V10 == V8 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #370: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__idom-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Oabs__class_Oabs-{F}(V8,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V11), P_c_HOL_Oabs__class_Oabs-{F}(V11,V5,V12), V10 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #371: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_lessequals-{F}(V6,V7,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_lessequals-{F}(V6,V8,V5) | c_lessequals-{T}(V6,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #372: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_lessequals-{F}(V7,V6,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_lessequals-{F}(V8,V6,V5) | c_lessequals-{T}(V6,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #373: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ofield-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V6,V5,V8), P_c_HOL_Oinverse__class_Oinverse-{F}(V6,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), V8 == V10 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #374: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Ofield-{F}(V5), class_Int_Onumber__ring-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V6,V5,V8), P_c_HOL_Oinverse__class_Oinverse-{F}(V6,V5,V9), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), V8 == V10 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #375: input, references = 5, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Otimes__class_Otimes-{F}(V5,V5,V0,V6), P_c_NthRoot_Osqrt-{F}(V6,V7), P_c_HOL_Oabs__class_Oabs-{F}(V5,V0,V8), V7 == V8 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #376: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V11), c_lessequals-{F}(V11,V9,V5) | c_HOL_Oord__class_Oless-{T}(V6,V7,V5), c_lessequals-{T}(V10,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #377: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V11), c_lessequals-{F}(V11,V8,V5) | c_HOL_Oord__class_Oless-{T}(V6,V7,V5), c_lessequals-{T}(V10,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #378: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V11), c_lessequals-{F}(V9,V11,V5) | c_HOL_Oord__class_Oless-{T}(V6,V7,V5), c_lessequals-{T}(V8,V10,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #379: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V11), c_lessequals-{F}(V8,V11,V5) | c_HOL_Oord__class_Oless-{T}(V6,V7,V5), c_lessequals-{T}(V9,V10,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #380: input, references = 3, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4) | c_lessequals-{T}(V1,V3,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #381: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Orderings_Opreorder-{F}(V5), #-{F} V6 | c_lessequals-{T}(V6,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #382: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Orderings_Oorder-{F}(V5), #-{F} V6 | c_lessequals-{T}(V6,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #383: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), c_lessequals-{F}(V5,V6,V0), c_lessequals-{F}(V6,V7,V0) | c_lessequals-{T}(V5,V7,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #384: input, references = 8, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), #-{F} V5 | c_lessequals-{T}(V5,V5,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #385: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Orderings_Opreorder-{F}(V5), c_lessequals-{F}(V7,V6,V5), c_lessequals-{F}(V8,V7,V5) | c_lessequals-{T}(V8,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #386: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Orderings_Oorder-{F}(V5), c_lessequals-{F}(V6,V7,V5), c_lessequals-{F}(V7,V8,V5) | c_lessequals-{T}(V6,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #387: input, references = 3, size of lhs = 14:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V10,V8,V5,V12), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V12), P_c_HOL_Otimes__class_Otimes-{F}(V10,V7,V5,V13), P_c_HOL_Otimes__class_Otimes-{F}(V9,V8,V5,V14), V7 == V6, V8 == V6, V13 == V14 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #388: input, references = 3, size of lhs = 14:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V10,V7,V5,V12), P_c_HOL_Otimes__class_Otimes-{F}(V9,V8,V5,V12), P_c_HOL_Oinverse__class_Odivide-{F}(V10,V8,V5,V13), P_c_HOL_Oinverse__class_Odivide-{F}(V9,V7,V5,V14), V7 == V6, V8 == V6, V13 == V14 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #389: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__div__algebra-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V8), P_c_HOL_Osgn__class_Osgn-{F}(V8,V5,V9), P_c_HOL_Osgn__class_Osgn-{F}(V7,V5,V10), P_c_HOL_Osgn__class_Osgn-{F}(V6,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V10,V11,V5,V12), V9 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #390: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Ring__and__Field_Oordered__idom-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V6,V5,V8), P_c_HOL_Osgn__class_Osgn-{F}(V8,V5,V9), P_c_HOL_Osgn__class_Osgn-{F}(V7,V5,V10), P_c_HOL_Osgn__class_Osgn-{F}(V6,V5,V11), P_c_HOL_Otimes__class_Otimes-{F}(V10,V11,V5,V12), V9 == V12 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #391: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V5), P_c_HOL_Oabs__class_Oabs-{F}(V7,V5,V8) | c_lessequals-{T}(V6,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #392: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Ofield-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V6,V7,V5,V8), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), V9 == V6 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #393: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_Orderings_Olinorder-{F}(V5), #-{F} V6, #-{F} V7 | c_lessequals-{T}(V6,V7,V5), c_lessequals-{T}(V7,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #394: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), #-{F} V5, #-{F} V6 | c_lessequals-{T}(V6,V5,V0), c_lessequals-{T}(V5,V6,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #395: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V6,V7,V5) | c_HOL_Oord__class_Oless-{T}(V6,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #396: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V6,V7,V5) | c_HOL_Oord__class_Oless-{T}(V6,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #397: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Oinverse-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V6,V8,V5) | c_HOL_Oord__class_Oless-{T}(V6,V7,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #398: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__semidom-{F}(V5), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V7,V5,V8), c_HOL_Oord__class_Oless-{F}(V8,V6,V5) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #399: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V9,V6,V5) | c_HOL_Oord__class_Oless-{T}(V6,V7,V5), c_HOL_Oord__class_Oless-{T}(V7,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #400: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V9,V6,V5) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5), c_HOL_Oord__class_Oless-{T}(V8,V6,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #401: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V8,V7,V5,V9), c_HOL_Oord__class_Oless-{F}(V9,V6,V5) | c_HOL_Oord__class_Oless-{T}(V6,V7,V5), c_HOL_Oord__class_Oless-{T}(V6,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #402: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__field-{F}(V5), class_Ring__and__Field_Odivision__by__zero-{F}(V5), P_c_HOL_Oinverse__class_Odivide-{F}(V7,V8,V5,V9), c_HOL_Oord__class_Oless-{F}(V9,V6,V5) | c_HOL_Oord__class_Oless-{T}(V7,V6,V5), c_HOL_Oord__class_Oless-{T}(V6,V7,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #403: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__comm__semiring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V11), c_HOL_Oord__class_Oless-{F}(V9,V8,V5) | c_HOL_Oord__class_Oless-{T}(V10,V11,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #404: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V11), c_HOL_Oord__class_Oless-{F}(V8,V9,V5) | c_HOL_Oord__class_Oless-{T}(V10,V11,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #405: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V11), c_HOL_Oord__class_Oless-{F}(V9,V8,V5) | c_HOL_Oord__class_Oless-{T}(V10,V11,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #406: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__semiring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V11), c_HOL_Oord__class_Oless-{F}(V9,V8,V5) | c_HOL_Oord__class_Oless-{T}(V10,V11,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #407: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V7,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V8,V7,V5,V11), c_HOL_Oord__class_Oless-{F}(V8,V9,V5) | c_HOL_Oord__class_Oless-{T}(V10,V11,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #408: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V11), c_HOL_Oord__class_Oless-{F}(V8,V9,V5) | c_HOL_Oord__class_Oless-{T}(V10,V11,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #409: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V11), c_HOL_Oord__class_Oless-{F}(V9,V8,V5) | c_HOL_Oord__class_Oless-{T}(V10,V11,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #410: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__semiring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V11), c_HOL_Oord__class_Oless-{F}(V9,V8,V5) | c_HOL_Oord__class_Oless-{T}(V10,V11,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #411: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V11), c_HOL_Oord__class_Oless-{F}(V8,V9,V5) | c_HOL_Oord__class_Oless-{T}(V10,V11,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #412: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V11), c_HOL_Oord__class_Oless-{F}(V9,V8,V5) | c_HOL_Oord__class_Oless-{T}(V10,V11,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #413: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V6,V7,V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V11), c_HOL_Oord__class_Oless-{F}(V10,V11,V5) | c_HOL_Oord__class_Oless-{T}(V9,V8,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #414: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V11), c_HOL_Oord__class_Oless-{F}(V8,V9,V5) | c_HOL_Oord__class_Oless-{T}(V10,V11,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #415: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_Ring__and__Field_Oordered__ring__strict-{F}(V5), c_HOL_Oord__class_Oless-{F}(V7,V6,V5), P_c_HOL_Otimes__class_Otimes-{F}(V7,V9,V5,V10), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V5,V11), c_HOL_Oord__class_Oless-{F}(V10,V11,V5) | c_HOL_Oord__class_Oless-{T}(V8,V9,V5)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #416: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_RealVector_Oreal__vector-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V8,V7,V5,V6), V7 == V6, V8 == V1 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #417: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_RealVector_Oof__real-{F}(V5,V6,V8), P_c_HOL_Ozero__class_Ozero-{F}(V6,V8), class_RealVector_Oreal__algebra__1-{F}(V6), V5 == V1 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #418: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_RealVector_Oof__real-{F}(V1,V5,V6), P_c_HOL_Ozero__class_Ozero-{F}(V5,V7), class_RealVector_Oreal__algebra__1-{F}(V5), V6 == V7 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #419: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_RealVector_Oof__real-{F}(V1,V5,V6), P_c_HOL_Ozero__class_Ozero-{F}(V5,V7), class_RealVector_Oreal__normed__vector-{F}(V5), class_RealVector_Oreal__algebra__1-{F}(V5), V6 == V7 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #420: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_RealVector_Oreal__normed__vector-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V1,V7,V5,V8), V8 == V6 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #421: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), class_RealVector_Oreal__vector-{F}(V5), P_c_RealVector_OscaleR__class_OscaleR-{F}(V1,V7,V5,V8), V8 == V6 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #422: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), #-{F} V5, P_c_RealDef_Oreal__of__preal-{F}(V6,V7) | c_HOL_Oord__class_Oless-{T}(V1,V5,V0), c_HOL_Oord__class_Oless-{T}(V5,V7,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #423: input, references = 4, size of lhs = 5:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4) | c_HOL_Oord__class_Oless-{T}(V1,V3,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #424: input, references = 4, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Otimes__class_Otimes-{F}(V5,V5,V0,V6), V5 == V1 | c_HOL_Oord__class_Oless-{T}(V1,V6,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #425: input, references = 11, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Oabs__class_Oabs-{F}(V5,V0,V6), V6 == V5 | c_HOL_Oord__class_Oless-{T}(V5,V1,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #426: input, references = 3, size of lhs = 7:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), class_RealVector_Oreal__normed__algebra-{F}(V5), P_c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1-{F}(V6,V5,V7) | c_HOL_Oord__class_Oless-{T}(V1,V7,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #427: input, references = 3, size of lhs = 6:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5) | c_HOL_Oord__class_Oless-{T}(V1,V5,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #428: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), class_RealVector_Oreal__normed__algebra-{F}(V6), P_c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1-{F}(V7,V6,V8) | c_HOL_Oord__class_Oless-{T}(V1,V8,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #429: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), c_HOL_Oord__class_Oless-{F}(V1,V6,V0) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #430: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), class_RealVector_Oreal__normed__field-{F}(V7), P_c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1-{F}(V8,V7,V9) | c_HOL_Oord__class_Oless-{T}(V1,V9,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #431: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_RealDef_Oreal__of__preal-{F}(V7,V8) | c_HOL_Oord__class_Oless-{T}(V1,V8,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #432: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_RealDef_Oreal__of__preal-{F}(V7,V8) | c_HOL_Oord__class_Oless-{T}(V1,V8,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #433: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), class_RealVector_Oreal__normed__vector-{F}(V7), P_c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1-{F}(V8,V9,V7,V10) | c_HOL_Oord__class_Oless-{T}(V1,V10,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #434: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1-{F}(V7,V8), c_HOL_Oord__class_Oless-{F}(V1,V7,V0) | c_HOL_Oord__class_Oless-{T}(V1,V8,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #435: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), c_HOL_Oord__class_Oless-{F}(V1,V7,V0), P_c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1-{F}(V8,V7,V9), c_HOL_Oord__class_Oless-{F}(V1,V8,V0) | c_HOL_Oord__class_Oless-{T}(V1,V9,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #436: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), c_HOL_Oord__class_Oless-{F}(V1,V7,V0), P_c_NthRoot_Osko__NthRoot__Xrealpow__pos__nth2__1__1-{F}(V7,V8,V9) | c_HOL_Oord__class_Oless-{T}(V1,V9,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #437: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), c_HOL_Oord__class_Oless-{F}(V8,V7,V0), P_c_Deriv_Osko__Deriv__Xlemma__interval__1__1-{F}(V9,V7,V8,V10), c_HOL_Oord__class_Oless-{F}(V9,V8,V0) | c_HOL_Oord__class_Oless-{T}(V1,V10,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #438: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_NthRoot_Osqrt-{F}(V7,V8), c_HOL_Oord__class_Oless-{F}(V1,V7,V0) | c_HOL_Oord__class_Oless-{T}(V1,V8,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #439: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_NthRoot_Osqrt-{F}(V7,V8), c_HOL_Oord__class_Oless-{F}(V1,V8,V0) | c_HOL_Oord__class_Oless-{T}(V1,V7,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #440: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_NthRoot_Osqrt-{F}(V7,V8), c_HOL_Oord__class_Oless-{F}(V1,V7,V0) | c_HOL_Oord__class_Oless-{T}(V1,V8,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #441: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Transcendental_Oln-{F}(V7,V8), c_HOL_Oord__class_Oless-{F}(V1,V7,V0), P_c_Transcendental_Oln-{F}(V9,V10), c_HOL_Oord__class_Oless-{F}(V9,V7,V0), c_HOL_Oord__class_Oless-{F}(V1,V9,V0) | c_HOL_Oord__class_Oless-{T}(V10,V8,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #442: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Transcendental_Oln-{F}(V7,V8), c_HOL_Oord__class_Oless-{F}(V1,V7,V0), P_c_Transcendental_Oln-{F}(V9,V10), c_HOL_Oord__class_Oless-{F}(V10,V8,V0), c_HOL_Oord__class_Oless-{F}(V1,V9,V0) | c_HOL_Oord__class_Oless-{T}(V9,V7,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #443: input, references = 3, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1-{F}(V8,V7,V9) | c_HOL_Oord__class_Oless-{T}(V1,V9,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #444: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Transcendental_Oln-{F}(V7,V8), c_HOL_Oord__class_Oless-{F}(V1,V7,V0), P_c_Transcendental_Oln-{F}(V9,V8), c_HOL_Oord__class_Oless-{F}(V1,V9,V0), V9 == V7 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #445: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Transcendental_Oln-{F}(V7,V8), c_HOL_Oord__class_Oless-{F}(V1,V7,V0) | c_HOL_Oord__class_Oless-{T}(V8,V7,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #446: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_NthRoot_Oroot-{F}(V8,V7,V9), V9 == V1 | c_HOL_Oord__class_Oless-{T}(V7,V1,V0), c_HOL_Oord__class_Oless-{T}(V1,V7,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #447: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), class_RealVector_Oreal__normed__vector-{F}(V7), P_c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1-{F}(V8,V7,V9) | c_HOL_Oord__class_Oless-{T}(V1,V9,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #448: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), c_HOL_Oord__class_Oless-{F}(V8,V7,V0), P_c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1-{F}(V9,V7,V8,V10), c_HOL_Oord__class_Oless-{F}(V9,V8,V0) | c_HOL_Oord__class_Oless-{T}(V1,V10,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #449: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_RealVector_Odist__class_Odist-{F}(V7,V8,V9,V10), class_RealVector_Ometric__space-{F}(V9), V7 == V8 | c_HOL_Oord__class_Oless-{T}(V1,V10,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #450: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), class_RealVector_Oreal__normed__vector-{F}(V7), class_RealVector_Oreal__algebra__1-{F}(V7), P_c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1-{F}(V8,V7,V9) | c_HOL_Oord__class_Oless-{T}(V1,V9,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #451: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), class_RealVector_Ometric__space-{F}(V7), P_c_RealVector_Odist__class_Odist-{F}(V9,V8,V7,V10), c_HOL_Oord__class_Oless-{F}(V10,V1,V0) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #452: input, references = 5, size of lhs = 8:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7) | c_HOL_Oord__class_Oless-{T}(V1,V7,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #453: input, references = 4, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_NthRoot_Osqrt-{F}(V8,V1), c_HOL_Oord__class_Oless-{F}(V1,V8,V0) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #454: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Transcendental_Oexp-{F}(V8,V0,V9), c_HOL_Oord__class_Oless-{F}(V9,V1,V0) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #455: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), c_HOL_Oord__class_Oless-{F}(V1,V8,V0), P_c_HOL_Otimes__class_Otimes-{F}(V9,V8,V0,V10), c_HOL_Oord__class_Oless-{F}(V1,V9,V0) | c_HOL_Oord__class_Oless-{T}(V1,V10,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #456: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), c_HOL_Oord__class_Oless-{F}(V1,V8,V0), P_c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1-{F}(V9,V8,V10), c_HOL_Oord__class_Oless-{F}(V1,V9,V0) | c_HOL_Oord__class_Oless-{T}(V10,V8,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #457: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), c_HOL_Oord__class_Oless-{F}(V1,V8,V0), P_c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1-{F}(V9,V8,V10), c_HOL_Oord__class_Oless-{F}(V1,V9,V0) | c_HOL_Oord__class_Oless-{T}(V10,V9,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #458: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), class_RealVector_Ometric__space-{F}(V8), P_c_RealVector_Odist__class_Odist-{F}(V9,V9,V8,V10), c_HOL_Oord__class_Oless-{F}(V1,V10,V0) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #459: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_RealDef_Oreal-{F}(V8,V2,V9), c_HOL_Oord__class_Oless-{F}(V9,V1,V0) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #460: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_NthRoot_Osqrt-{F}(V8,V9), c_HOL_Oord__class_Oless-{F}(V9,V1,V0) | c_HOL_Oord__class_Oless-{T}(V8,V1,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #461: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_NthRoot_Osqrt-{F}(V8,V9), c_HOL_Oord__class_Oless-{F}(V8,V1,V0) | c_HOL_Oord__class_Oless-{T}(V9,V1,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #462: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), c_HOL_Oord__class_Oless-{F}(V3,V1,V0) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #463: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), c_HOL_Oord__class_Oless-{F}(V1,V8,V0), P_v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1-{F}(V8,V9,V10,V11) | c_HOL_Oord__class_Oless-{T}(V1,V11,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #464: input, references = 3, size of lhs = 9:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8) | c_HOL_Oord__class_Oless-{T}(V1,V8,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #465: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), class_RealVector_Oreal__normed__algebra-{F}(V9), P_c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1-{F}(V10,V9,V11) | c_HOL_Oord__class_Oless-{T}(V1,V11,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #466: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), c_HOL_Oord__class_Oless-{F}(V1,V9,V0), P_c_HOL_Otimes__class_Otimes-{F}(V9,V11,V0,V12), P_c_HOL_Otimes__class_Otimes-{F}(V9,V10,V0,V13), c_HOL_Oord__class_Oless-{F}(V11,V10,V0) | c_HOL_Oord__class_Oless-{T}(V12,V13,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #467: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), c_HOL_Oord__class_Oless-{F}(V1,V9,V0), P_c_HOL_Otimes__class_Otimes-{F}(V11,V9,V0,V12), P_c_HOL_Otimes__class_Otimes-{F}(V10,V9,V0,V13), c_HOL_Oord__class_Oless-{F}(V11,V10,V0) | c_HOL_Oord__class_Oless-{T}(V12,V13,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #468: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), c_HOL_Oord__class_Oless-{F}(V1,V9,V0), P_c_HOL_Otimes__class_Otimes-{F}(V11,V9,V0,V12), P_c_HOL_Otimes__class_Otimes-{F}(V10,V9,V0,V13), c_HOL_Oord__class_Oless-{F}(V12,V13,V0) | c_HOL_Oord__class_Oless-{T}(V11,V10,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #469: input, references = 3, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_c_Transcendental_Oexp-{F}(V9,V0,V10) | c_HOL_Oord__class_Oless-{T}(V1,V10,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #470: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), class_RealVector_Oreal__normed__vector-{F}(V9), P_c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1-{F}(V10,V9,V11) | c_HOL_Oord__class_Oless-{T}(V1,V11,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #471: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), class_RealVector_Oreal__normed__vector-{F}(V9), P_c_RealVector_Onorm__class_Onorm-{F}(V10,V9,V11) | c_lessequals-{T}(V1,V11,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #472: input, references = 3, size of lhs = 14:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_HOL_Osgn__class_Osgn-{F}(V10,V9,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V11,V9,V12), class_RealVector_Oreal__normed__vector-{F}(V9), V12 == V1 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #473: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_RealVector_Onorm__class_Onorm-{F}(V10,V9,V11), class_RealVector_Oreal__normed__vector-{F}(V9) | c_lessequals-{T}(V11,V1,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #474: input, references = 3, size of lhs = 14:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), class_RealVector_Oreal__normed__vector-{F}(V9), P_c_RealVector_Onorm__class_Onorm-{F}(V11,V9,V12), c_lessequals-{F}(V12,V1,V0), V11 == V10 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #475: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), class_Orderings_Oorder-{F}(V9), c_HOL_Oord__class_Oless-{F}(V11,V10,V9), c_HOL_Oord__class_Oless-{F}(V10,V11,V9) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #476: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), class_Orderings_Olinorder-{F}(V9), c_HOL_Oord__class_Oless-{F}(V11,V10,V9), c_HOL_Oord__class_Oless-{F}(V10,V11,V9) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #477: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), class_Orderings_Opreorder-{F}(V9), c_HOL_Oord__class_Oless-{F}(V10,V11,V9), c_HOL_Oord__class_Oless-{F}(V11,V10,V9) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #478: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), class_Orderings_Opreorder-{F}(V9), c_HOL_Oord__class_Oless-{F}(V10,V11,V9), c_HOL_Oord__class_Oless-{F}(V11,V10,V9) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #479: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), class_Orderings_Opreorder-{F}(V9), c_HOL_Oord__class_Oless-{F}(V10,V10,V9) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #480: input, references = 4, size of lhs = 10:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), c_HOL_Oord__class_Oless-{F}(V9,V9,V0) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #481: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), class_Orderings_Oorder-{F}(V9), c_HOL_Oord__class_Oless-{F}(V10,V10,V9) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #482: input, references = 3, size of lhs = 11:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), class_Orderings_Olinorder-{F}(V9), c_HOL_Oord__class_Oless-{F}(V10,V10,V9) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #483: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_RealVector_Onorm__class_Onorm-{F}(V10,V9,V11), class_RealVector_Oreal__normed__vector-{F}(V9), V11 == V1 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #484: input, references = 5, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), class_RealVector_Oreal__normed__vector-{F}(V9), P_c_RealVector_Onorm__class_Onorm-{F}(V11,V9,V12), V11 == V10 | c_HOL_Oord__class_Oless-{T}(V1,V12,V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #485: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), #-{F} V9, #-{F} V10, class_Ring__and__Field_Oordered__idom-{F}(V11), V9 == V10 | c_HOL_Oord__class_Oless-{T}(V10,V9,V11), c_HOL_Oord__class_Oless-{T}(V9,V10,V11)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #486: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), #-{F} V9, #-{F} V10, class_Orderings_Olinorder-{F}(V11), V9 == V10 | c_HOL_Oord__class_Oless-{T}(V10,V9,V11), c_HOL_Oord__class_Oless-{T}(V9,V10,V11)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #487: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), #-{F} V9, #-{F} V10, class_Orderings_Olinorder-{F}(V11), V9 == V10 | c_HOL_Oord__class_Oless-{T}(V9,V10,V11), c_HOL_Oord__class_Oless-{T}(V10,V9,V11)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #488: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), #-{F} V9, #-{F} V10, class_Orderings_Olinorder-{F}(V11), V9 == V10 | c_HOL_Oord__class_Oless-{T}(V10,V9,V11), c_HOL_Oord__class_Oless-{T}(V9,V10,V11)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #489: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), #-{F} V9, #-{F} V10, class_Orderings_Olinorder-{F}(V11), V9 == V10 | c_HOL_Oord__class_Oless-{T}(V10,V9,V11), c_HOL_Oord__class_Oless-{T}(V9,V10,V11)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #490: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_RealVector_Onorm__class_Onorm-{F}(V10,V9,V11), class_RealVector_Oreal__normed__vector-{F}(V9), c_HOL_Oord__class_Oless-{F}(V1,V11,V0) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #491: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), class_RealVector_Oreal__normed__vector-{F}(V9), P_c_RealVector_Onorm__class_Onorm-{F}(V11,V9,V1), V11 == V10 | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #492: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), class_RealVector_Oreal__normed__vector-{F}(V9), P_c_RealVector_Onorm__class_Onorm-{F}(V10,V9,V11), c_HOL_Oord__class_Oless-{F}(V11,V1,V0) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #493: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), class_Orderings_Oorder-{F}(V9), c_HOL_Oord__class_Oless-{F}(V10,V11,V9), c_HOL_Oord__class_Oless-{F}(V11,V12,V9) | c_HOL_Oord__class_Oless-{T}(V10,V12,V9)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #494: input, references = 3, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), class_Orderings_Opreorder-{F}(V9), c_HOL_Oord__class_Oless-{F}(V11,V10,V9), c_HOL_Oord__class_Oless-{F}(V12,V11,V9) | c_HOL_Oord__class_Oless-{T}(V12,V10,V9)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #495: input, references = 4, size of lhs = 12:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V11), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #496: input, references = 5, size of lhs = 14:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12), c_HOL_Oord__class_Oless-{F}(V1,V12,V0) | FALSE
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #497: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Oordered__comm__semiring__strict-{T}(V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #498: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Opordered__cancel__semiring-{T}(V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #499: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Oordered__semiring__strict-{T}(V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #500: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Opordered__semiring-{T}(V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #501: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Oordered__semiring-{T}(V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #502: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Ono__zero__divisors-{T}(V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #503: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Oordered__semidom-{T}(V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #504: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Ocomm__semiring__1-{T}(V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #505: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_OrderedGroup_Oab__semigroup__mult-{T}(V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #506: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Omult__mono1-{T}(V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #507: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Omult__zero-{T}(V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #508: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Omult__mono-{T}(V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #509: input, references = 4, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Nat_Osemiring__char__0-{T}(V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #510: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Orderings_Opreorder-{T}(V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #511: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Orderings_Olinorder-{T}(V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #512: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Orderings_Oorder-{T}(V2)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #513: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Oordered__comm__semiring__strict-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #514: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Opordered__cancel__semiring-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #515: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Oordered__semiring__strict-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #516: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_OrderedGroup_Opordered__ab__group__add__abs-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #517: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_OrderedGroup_Olordered__ab__group__add__abs-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #518: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Oring__no__zero__divisors-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #519: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Oordered__ring__strict-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #520: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Oreal__normed__div__algebra-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #521: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Opordered__semiring-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #522: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Opordered__ring__abs-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #523: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Oreal__normed__algebra__1-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #524: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Oordered__semiring-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #525: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Ono__zero__divisors-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #526: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Odivision__by__zero-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #527: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Oordered__semidom-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #528: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Ocomm__semiring__1-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #529: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Oreal__normed__algebra-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #530: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_OrderedGroup_Oab__semigroup__mult-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #531: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Oreal__normed__vector-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #532: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Opordered__ring-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #533: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Oordered__field-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #534: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Olordered__ring-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #535: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Odivision__ring-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #536: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Oreal__normed__field-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #537: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Oordered__idom-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #538: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Omult__mono1-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #539: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Oreal__algebra__1-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #540: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Omult__zero-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #541: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Omult__mono-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #542: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Oreal__algebra-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #543: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Ometric__space-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #544: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Oreal__vector-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #545: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Osgn__if-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #546: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Oabs__if-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #547: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Ofield-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #548: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Nat_Osemiring__char__0-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #549: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Orderings_Opreorder-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #550: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Orderings_Olinorder-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #551: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Orderings_Oorder-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #552: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Int_Onumber__ring-{T}(V0)
% 69.06/69.22 (used 0 times, uses = {})
% 69.06/69.22
% 69.06/69.22 #553: input, references = 3, size of lhs = 13:
% 69.06/69.22 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_SEQ_Obanach-{T}(V0)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #554: input, references = 4, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Oring__no__zero__divisors-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #555: input, references = 3, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Oreal__normed__div__algebra-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #556: input, references = 3, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Oreal__normed__algebra__1-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #557: input, references = 3, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Ono__zero__divisors-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #558: input, references = 4, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Odivision__by__zero-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #559: input, references = 3, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Ocomm__semiring__1-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #560: input, references = 3, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Oreal__normed__algebra-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #561: input, references = 3, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_OrderedGroup_Oab__semigroup__mult-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #562: input, references = 5, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Oreal__normed__vector-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #563: input, references = 5, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Odivision__ring-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #564: input, references = 3, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Oreal__normed__field-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #565: input, references = 3, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Oreal__algebra__1-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #566: input, references = 3, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Omult__zero-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #567: input, references = 3, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Oreal__algebra-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #568: input, references = 3, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Ometric__space-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #569: input, references = 3, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_RealVector_Oreal__vector-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #570: input, references = 3, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Ring__and__Field_Ofield-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #571: input, references = 3, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Nat_Osemiring__char__0-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #572: input, references = 3, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_Int_Onumber__ring-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #573: input, references = 3, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_HOL_Otimes__class_Otimes-{F}(V1,V1,V0,V6), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V7), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V8), P_v_c____-{F}(V9), P_tc_Complex_Ocomplex-{F}(V10), P_c_HOL_Ozero__class_Ozero-{F}(V10,V11), P_c_RealVector_Onorm__class_Onorm-{F}(V9,V10,V12) | class_SEQ_Obanach-{T}(V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #574: input, references = 12, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Onorm__class_Onorm-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #575: input, references = 4, size of lhs = 0:
% 69.06/69.23 FALSE | EXISTS V0: P_tc_RealDef_Oreal-{T}(V0)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #576: input, references = 8, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oabs__class_Oabs-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #577: input, references = 3, size of lhs = 3:
% 69.06/69.23 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_RealVector_OscaleR__class_OscaleR-{T}(V0,V1,V2,V3)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #578: input, references = 10, size of lhs = 1:
% 69.06/69.23 #-{F} V0 | EXISTS V1: P_c_HOL_Ozero__class_Ozero-{T}(V0,V1)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #579: input, references = 3, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oinverse__class_Oinverse-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #580: input, references = 3, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Osgn__class_Osgn-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #581: input, references = 12, size of lhs = 3:
% 69.06/69.23 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_HOL_Otimes__class_Otimes-{T}(V0,V1,V2,V3)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #582: input, references = 3, size of lhs = 3:
% 69.06/69.23 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_HOL_Oinverse__class_Odivide-{T}(V0,V1,V2,V3)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #583: input, references = 5, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Transcendental_Oexp-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #584: input, references = 3, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Oof__real-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #585: input, references = 3, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #586: input, references = 3, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #587: input, references = 3, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #588: input, references = 3, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_Nat_Osemiring__1__class_Oof__nat-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #589: input, references = 3, size of lhs = 3:
% 69.06/69.23 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_RealVector_Odist__class_Odist-{T}(V0,V1,V2,V3)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #590: input, references = 6, size of lhs = 1:
% 69.06/69.23 #-{F} V0 | EXISTS V1: P_c_NthRoot_Osqrt-{T}(V0,V1)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #591: input, references = 3, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealDef_Oreal-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #592: input, references = 4, size of lhs = 0:
% 69.06/69.23 FALSE | EXISTS V0: P_tc_nat-{T}(V0)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #593: input, references = 3, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #594: input, references = 3, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #595: input, references = 4, size of lhs = 0:
% 69.06/69.23 FALSE | EXISTS V0: P_c_Transcendental_Opi-{T}(V0)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #596: input, references = 4, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_NthRoot_Oroot-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #597: input, references = 5, size of lhs = 1:
% 69.06/69.23 #-{F} V0 | EXISTS V1: P_c_Transcendental_Oln-{T}(V0,V1)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #598: input, references = 3, size of lhs = 1:
% 69.06/69.23 #-{F} V0 | EXISTS V1: P_c_RealDef_Oreal__of__preal-{T}(V0,V1)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #599: input, references = 3, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #600: input, references = 3, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #601: input, references = 3, size of lhs = 3:
% 69.06/69.23 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1-{T}(V0,V1,V2,V3)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #602: input, references = 4, size of lhs = 0:
% 69.06/69.23 FALSE | EXISTS V0: P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{T}(V0)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #603: input, references = 3, size of lhs = 1:
% 69.06/69.23 #-{F} V0 | EXISTS V1: P_c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1-{T}(V0,V1)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #604: input, references = 3, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #605: input, references = 3, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_NthRoot_Osko__NthRoot__Xrealpow__pos__nth2__1__1-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #606: input, references = 3, size of lhs = 3:
% 69.06/69.23 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Deriv_Osko__Deriv__Xlemma__interval__1__1-{T}(V0,V1,V2,V3)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #607: input, references = 3, size of lhs = 2:
% 69.06/69.23 #-{F} V0, #-{F} V1 | EXISTS V2: P_v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1-{T}(V0,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #608: input, references = 3, size of lhs = 3:
% 69.06/69.23 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1-{T}(V0,V1,V2,V3)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #609: input, references = 4, size of lhs = 0:
% 69.06/69.23 FALSE | EXISTS V0: P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{T}(V0)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #610: input, references = 3, size of lhs = 3:
% 69.06/69.23 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1-{T}(V0,V1,V2,V3)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #611: input, references = 4, size of lhs = 0:
% 69.06/69.23 FALSE | EXISTS V0: P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{T}(V0)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #612: input, references = 4, size of lhs = 0:
% 69.06/69.23 FALSE | EXISTS V0: P_v_c____-{T}(V0)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #613: input, references = 4, size of lhs = 0:
% 69.06/69.23 FALSE | EXISTS V0: P_tc_Complex_Ocomplex-{T}(V0)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 number of initial rules = 614
% 69.06/69.23
% 69.06/69.23 Simplifiers:
% 69.06/69.23 #614: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V0), class_OrderedGroup_Opordered__ab__group__add__abs-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #615: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #616: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 class_Ring__and__Field_Osgn__if-{F}(V0), class_Ring__and__Field_Osgn__if-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #617: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 class_Ring__and__Field_Oordered__field-{F}(V0), class_Ring__and__Field_Oordered__field-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #618: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 class_Ring__and__Field_Oordered__ring__strict-{F}(V0), class_Ring__and__Field_Oordered__ring__strict-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #619: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 class_Ring__and__Field_Olordered__ring-{F}(V0), class_Ring__and__Field_Olordered__ring-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #620: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 class_Ring__and__Field_Opordered__ring__abs-{F}(V0), class_Ring__and__Field_Opordered__ring__abs-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #621: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 class_Ring__and__Field_Opordered__ring-{F}(V0), class_Ring__and__Field_Opordered__ring-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #622: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 class_Ring__and__Field_Oabs__if-{F}(V0), class_Ring__and__Field_Oabs__if-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #623: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 class_OrderedGroup_Olordered__ab__group__add__abs-{F}(V0), class_OrderedGroup_Olordered__ab__group__add__abs-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #624: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_RealVector_Onorm__class_Onorm-{F}(V0,V1,V2), P_c_RealVector_Onorm__class_Onorm-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #625: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_tc_RealDef_Oreal-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #626: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_HOL_Oabs__class_Oabs-{F}(V0,V1,V2), P_c_HOL_Oabs__class_Oabs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #627: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_RealVector_OscaleR__class_OscaleR-{F}(V0,V1,V2,V3), P_c_RealVector_OscaleR__class_OscaleR-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #628: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_HOL_Ozero__class_Ozero-{F}(V0,V3), V1 == V3 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #629: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_HOL_Oinverse__class_Oinverse-{F}(V0,V1,V2), P_c_HOL_Oinverse__class_Oinverse-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #630: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_HOL_Osgn__class_Osgn-{F}(V0,V1,V2), P_c_HOL_Osgn__class_Osgn-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #631: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_HOL_Otimes__class_Otimes-{F}(V0,V1,V2,V3), P_c_HOL_Otimes__class_Otimes-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #632: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_HOL_Oinverse__class_Odivide-{F}(V0,V1,V2,V3), P_c_HOL_Oinverse__class_Odivide-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #633: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_Transcendental_Oexp-{F}(V0,V1,V2), P_c_Transcendental_Oexp-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #634: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_RealVector_Oof__real-{F}(V0,V1,V2), P_c_RealVector_Oof__real-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #635: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1-{F}(V0,V1,V2), P_c_RealVector_Osko__RealVector__Xof__real__Xpos__bounded__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #636: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1-{F}(V0,V1,V2), P_c_RealVector_Osko__RealVector__XscaleR__Xpos__bounded__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #637: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1-{F}(V0,V1,V2), P_c_RealVector_Osko__RealVector__XscaleR__left__Xpos__bounded__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #638: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V0,V1,V2), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #639: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_RealVector_Odist__class_Odist-{F}(V0,V1,V2,V3), P_c_RealVector_Odist__class_Odist-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #640: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_NthRoot_Osqrt-{F}(V0,V1), P_c_NthRoot_Osqrt-{F}(V0,V3), V1 == V3 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #641: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_RealDef_Oreal-{F}(V0,V1,V2), P_c_RealDef_Oreal-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #642: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_tc_nat-{F}(V0), P_tc_nat-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #643: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1-{F}(V0,V1,V2), P_c_RealVector_Osko__RealVector__Xmult__left__Xpos__bounded__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #644: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1-{F}(V0,V1,V2), P_c_RealVector_Osko__RealVector__Xdivide__Xpos__bounded__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #645: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_Transcendental_Opi-{F}(V0), P_c_Transcendental_Opi-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #646: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_NthRoot_Oroot-{F}(V0,V1,V2), P_c_NthRoot_Oroot-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #647: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_Transcendental_Oln-{F}(V0,V1), P_c_Transcendental_Oln-{F}(V0,V3), V1 == V3 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #648: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_RealDef_Oreal__of__preal-{F}(V0,V1), P_c_RealDef_Oreal__of__preal-{F}(V0,V3), V1 == V3 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #649: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1-{F}(V0,V1,V2), P_c_RealVector_Osko__RealVector__Xmult__Xpos__bounded__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #650: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1-{F}(V0,V1,V2), P_c_RealVector_Osko__RealVector__Xmult__right__Xpos__bounded__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #651: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1-{F}(V0,V1,V2,V3), P_c_RealVector_Osko__RealVector__XscaleR__right__Xpos__bounded__1__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #652: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V0), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #653: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1-{F}(V0,V1), P_c_Transcendental_Osko__Transcendental__Xlemma__tan__total__1__1-{F}(V0,V3), V1 == V3 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #654: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1-{F}(V0,V1,V2), P_c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #655: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_NthRoot_Osko__NthRoot__Xrealpow__pos__nth2__1__1-{F}(V0,V1,V2), P_c_NthRoot_Osko__NthRoot__Xrealpow__pos__nth2__1__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #656: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_Deriv_Osko__Deriv__Xlemma__interval__1__1-{F}(V0,V1,V2,V3), P_c_Deriv_Osko__Deriv__Xlemma__interval__1__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #657: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1-{F}(V0,V1,V2), P_v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1-{F}(V0,V1,V5), V2 == V5 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #658: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1-{F}(V0,V1,V2,V3), P_c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #659: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V0), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #660: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1-{F}(V0,V1,V2,V3), P_v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #661: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V0), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #662: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_v_c____-{F}(V0), P_v_c____-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #663: unsound, references = 3, size of lhs = 3:
% 69.06/69.23 P_tc_Complex_Ocomplex-{F}(V0), P_tc_Complex_Ocomplex-{F}(V1), V0 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 number of simplifiers = 50
% 69.06/69.23
% 69.06/69.23 Learnt:
% 69.06/69.23 #665: exists( #576, #0 ), references = 13, size of lhs = 2:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_RealVector_Onorm__class_Onorm-{F}(V1,V0,V2) | P_c_HOL_Oabs__class_Oabs-{T}(V1,V0,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #669: exists( #581, #122 ), references = 2, size of lhs = 4:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_HOL_Otimes__class_Otimes-{F}(V3,V4,V0,V5) | P_c_HOL_Otimes__class_Otimes-{T}(V4,V3,V0,V5)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #671: exists( #581, #111 ), references = 2, size of lhs = 6:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_NthRoot_Osqrt-{F}(V2,V3), P_c_HOL_Otimes__class_Otimes-{F}(V2,V4,V0,V5), P_c_NthRoot_Osqrt-{F}(V5,V6), P_c_NthRoot_Osqrt-{F}(V4,V7) | P_c_HOL_Otimes__class_Otimes-{T}(V3,V7,V0,V6)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #674: exists( #590, #222 ), references = 8, size of lhs = 4:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3) | P_c_NthRoot_Osqrt-{T}(V1,V1)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #675: exists( #590, #329 ), references = 2, size of lhs = 7:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_Transcendental_Oexp-{F}(V4,V0,V5), P_c_Transcendental_Oln-{F}(V5,V6), V6 == V4 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #689: mergings( V7 == V9, V9 == V11, V8 == V10, V3 == V5, V5 == V12, V4 == V6; #682 ), references = 2, size of lhs = 7:
% 69.06/69.23 P_c_Transcendental_Opi-{F}(V0), P_tc_RealDef_Oreal-{F}(V1), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_c_NthRoot_Osqrt-{F}(V2,V3), P_tc_nat-{F}(V4), c_lessequals-{F}(V2,V5,V1), V5 == V2 | P_c_RealVector_Onorm__class_Onorm-{T}(V5,V1,V5)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #693: exists( #583, #229 ), references = 2, size of lhs = 7:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), c_HOL_Oord__class_Oless-{F}(V1,V5,V0), P_c_Transcendental_Oln-{F}(V5,V6) | P_c_Transcendental_Oexp-{T}(V6,V0,V5)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #705: exists( #574, #703 ), references = 1, size of lhs = 4:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_RealDef_Oreal-{F}(V3,V2,V4) | P_c_RealVector_Onorm__class_Onorm-{T}(V4,V0,V4)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #707: exists( #596, #223 ), references = 1, size of lhs = 6:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), #-{F} V5 | P_c_NthRoot_Oroot-{T}(V5,V1,V1)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #720: mergings( V5 == V0, V6 == V9, V3 == V7, V4 == V8; #715 ), references = 1, size of lhs = 8:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Transcendental_Oln-{F}(V1,V5), P_c_Transcendental_Oexp-{F}(V5,V0,V6), V6 == V1 | P_c_RealVector_Onorm__class_Onorm-{T}(V1,V0,V1)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #726: exists( #581, #495 ), references = 1, size of lhs = 11:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V7), P_v_c____-{F}(V8), P_tc_Complex_Ocomplex-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V8) | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #727: exists( #581, #496 ), references = 4, size of lhs = 13:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V5), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V6), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V7), P_v_c____-{F}(V8), P_tc_Complex_Ocomplex-{F}(V9), P_c_HOL_Ozero__class_Ozero-{F}(V9,V10), P_c_RealVector_Onorm__class_Onorm-{F}(V8,V9,V11), c_HOL_Oord__class_Oless-{F}(V1,V11,V0) | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #736: mergings( V2 == V4, V3 == V5; #732 ), references = 2, size of lhs = 9:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V3), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V5), P_v_c____-{F}(V6), P_tc_Complex_Ocomplex-{F}(V7), P_c_HOL_Ozero__class_Ozero-{F}(V7,V6) | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #755: mergings( V5 == V7, V2 == V8; #752 ), references = 3, size of lhs = 7:
% 69.06/69.23 P_c_Transcendental_Opi-{F}(V0), P_tc_RealDef_Oreal-{F}(V1), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_c_NthRoot_Osqrt-{F}(V2,V3), c_HOL_Oord__class_Oless-{F}(V2,V4,V1), c_lessequals-{F}(V4,V2,V1), P_tc_nat-{F}(V5) | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #765: exists( #581, #306 ), references = 3, size of lhs = 8:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V0,V7), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V0,V9), P_c_HOL_Otimes__class_Otimes-{F}(V6,V8,V0,V10) | P_c_HOL_Otimes__class_Otimes-{T}(V5,V10,V0,V9)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #776: mergings( V6 == V8, V4 == V9; #773 ), references = 1, size of lhs = 9:
% 69.06/69.23 P_c_Transcendental_Opi-{F}(V0), P_tc_RealDef_Oreal-{F}(V1), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_c_NthRoot_Osqrt-{F}(V2,V3), P_tc_nat-{F}(V4), P_c_HOL_Otimes__class_Otimes-{F}(V5,V6,V1,V7), V5 == V2, P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V1,V9), P_c_HOL_Otimes__class_Otimes-{F}(V5,V10,V1,V9) | P_c_HOL_Otimes__class_Otimes-{T}(V6,V8,V1,V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #803: mergings( V8 == V9, V3 == V10, V4 == V7; #798 ), references = 2, size of lhs = 8:
% 69.06/69.23 P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V0), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_tc_RealDef_Oreal-{F}(V3), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), c_lessequals-{F}(V1,V4,V3), P_c_NthRoot_Osqrt-{F}(V4,V5), P_tc_nat-{F}(V6) | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #818: mergings( V11 == V13, V12 == V14, V14 == V15, V15 == V16, V3 == V5, V5 == V7, V7 == V17, V4 == V6, V6 == V8, V8 == V10; #807 ), references = 1, size of lhs = 7:
% 69.06/69.23 P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V0), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_tc_RealDef_Oreal-{F}(V3), P_c_HOL_Ozero__class_Ozero-{F}(V3,V4), P_c_NthRoot_Osqrt-{F}(V4,V5), P_tc_nat-{F}(V6) | P_c_RealVector_Onorm__class_Onorm-{T}(V1,V3,V1)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #829: mergings( V3 == V4; #827 ), references = 1, size of lhs = 8:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_NthRoot_Osqrt-{F}(V3,V4), V4 == V1, P_c_HOL_Otimes__class_Otimes-{F}(V3,V5,V0,V6), P_c_NthRoot_Osqrt-{F}(V6,V7), P_c_HOL_Otimes__class_Otimes-{F}(V4,V8,V0,V7) | P_c_NthRoot_Osqrt-{T}(V5,V8)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #859: mergings( V7 == V9, V8 == V10, V10 == V13, V3 == V5, V5 == V11, V4 == V6, V6 == V12; #851 ), references = 1, size of lhs = 10:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Oabs__class_Oabs-{F}(V5,V0,V6), V5 == V1, c_lessequals-{F}(V6,V7,V0), P_c_HOL_Oabs__class_Oabs-{F}(V8,V0,V9), P_c_HOL_Otimes__class_Otimes-{F}(V10,V9,V0,V7) | P_c_RealVector_Onorm__class_Onorm-{T}(V10,V0,V10)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #890: mergings( V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V24, V15 == V17, V17 == V19, V19 == V21, V21 == V22, V22 == V27, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V13, V13 == V25, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V26; #868 ), references = 1, size of lhs = 10:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), c_lessequals-{F}(V5,V1,V0), P_c_HOL_Oabs__class_Oabs-{F}(V6,V0,V7), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V0,V9), V9 == V1, P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V0,V5) | P_c_HOL_Otimes__class_Otimes-{T}(V9,V9,V0,V1)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #917: mergings( V12 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V22, V22 == V31, V13 == V15, V15 == V17, V17 == V19, V19 == V20, V20 == V25, V0 == V2, V2 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V23, V23 == V32, V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V24; #891 ), references = 1, size of lhs = 12:
% 69.06/69.23 P_c_Transcendental_Opi-{F}(V0), P_tc_RealDef_Oreal-{F}(V1), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_c_NthRoot_Osqrt-{F}(V2,V3), P_tc_nat-{F}(V4), c_lessequals-{F}(V5,V2,V1), P_c_HOL_Oabs__class_Oabs-{F}(V6,V1,V7), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V1,V9), V9 == V2, P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V1,V5), P_c_HOL_Otimes__class_Otimes-{F}(V10,V9,V1,V2), V9 == V10 | P_c_HOL_Otimes__class_Otimes-{T}(V9,V9,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #941: mergings( V12 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V22, V22 == V31, V13 == V15, V15 == V17, V17 == V19, V19 == V20, V20 == V25, V0 == V2, V2 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V23, V23 == V32, V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V24; #892 ), references = 1, size of lhs = 12:
% 69.06/69.23 P_c_Transcendental_Opi-{F}(V0), P_tc_RealDef_Oreal-{F}(V1), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), P_c_NthRoot_Osqrt-{F}(V2,V3), P_tc_nat-{F}(V4), c_lessequals-{F}(V5,V2,V1), P_c_HOL_Oabs__class_Oabs-{F}(V6,V1,V7), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V1,V9), V9 == V2, P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V1,V5), P_c_HOL_Otimes__class_Otimes-{F}(V9,V10,V1,V2), V9 == V10 | P_c_HOL_Otimes__class_Otimes-{T}(V9,V9,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #968: mergings( V12 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V22, V22 == V31, V13 == V15, V15 == V17, V17 == V19, V19 == V20, V20 == V25, V25 == V34, V34 == V35, V0 == V2, V2 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V23, V23 == V32, V1 == V3, V3 == V5, V5 == V7, V7 == V8, V8 == V24, V24 == V33; #893 ), references = 1, size of lhs = 12:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), c_lessequals-{F}(V5,V1,V0), P_c_HOL_Oabs__class_Oabs-{F}(V6,V0,V7), P_c_HOL_Otimes__class_Otimes-{F}(V7,V8,V0,V9), V9 == V1, P_c_HOL_Otimes__class_Otimes-{F}(V8,V9,V0,V5), P_c_HOL_Oabs__class_Oabs-{F}(V9,V0,V10), V4 == V10 | P_c_HOL_Otimes__class_Otimes-{T}(V9,V9,V0,V1)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1010: mergings( V10 == V12, V11 == V13, V13 == V14, V3 == V5, V5 == V15, V4 == V6, V6 == V9; #1001 ), references = 1, size of lhs = 8:
% 69.06/69.23 P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V0), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V1), P_c_NthRoot_Osqrt-{F}(V1,V2), P_c_Transcendental_Opi-{F}(V3), P_tc_RealDef_Oreal-{F}(V4), P_c_HOL_Ozero__class_Ozero-{F}(V4,V5), P_c_NthRoot_Osqrt-{F}(V5,V6), P_tc_nat-{F}(V7) | P_c_RealVector_Onorm__class_Onorm-{T}(V2,V4,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1034: mergings( V7 == V10, V3 == V8, V4 == V9; #1030 ), references = 1, size of lhs = 10:
% 69.06/69.23 P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V0), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V1), P_tc_RealDef_Oreal-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V2,V3), P_tc_nat-{F}(V4), P_c_Transcendental_Opi-{F}(V5), P_c_NthRoot_Osqrt-{F}(V3,V6), P_c_Transcendental_Oln-{F}(V1,V7), P_c_Transcendental_Oexp-{F}(V7,V2,V8), V8 == V1 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1039: mergings( V8 == V11, V3 == V9, V4 == V10; #1035 ), references = 1, size of lhs = 8:
% 69.06/69.23 P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V0), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V1), P_tc_RealDef_Oreal-{F}(V2), P_c_HOL_Ozero__class_Ozero-{F}(V2,V3), P_tc_nat-{F}(V4), P_c_Transcendental_Opi-{F}(V5), P_c_NthRoot_Osqrt-{F}(V3,V6), P_c_Transcendental_Oln-{F}(V1,V7) | P_c_Transcendental_Oexp-{T}(V7,V2,V1)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1057: mergings( V2 == V4, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V6 == V16, V7 == V17; #1044 ), references = 1, size of lhs = 12:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V3), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V5), P_v_c____-{F}(V6), P_tc_Complex_Ocomplex-{F}(V7), P_c_RealVector_Onorm__class_Onorm-{F}(V6,V7,V8), P_c_NthRoot_Osqrt-{F}(V4,V8), P_c_HOL_Ozero__class_Ozero-{F}(V7,V9), P_c_Transcendental_Oln-{F}(V4,V10) | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1065: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #1060 ), references = 1, size of lhs = 10:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V3), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V5), P_v_c____-{F}(V6), P_tc_Complex_Ocomplex-{F}(V7), P_c_RealVector_Onorm__class_Onorm-{F}(V6,V7,V2), P_c_HOL_Ozero__class_Ozero-{F}(V7,V8) | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1068: exists( #590, #375 ), references = 1, size of lhs = 7:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_HOL_Otimes__class_Otimes-{F}(V5,V5,V0,V6), P_c_HOL_Oabs__class_Oabs-{F}(V5,V0,V7) | P_c_NthRoot_Osqrt-{T}(V6,V7)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1069: exists( #590, #111 ), references = 2, size of lhs = 6:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_NthRoot_Osqrt-{F}(V2,V3), P_c_HOL_Otimes__class_Otimes-{F}(V2,V4,V0,V5), P_c_NthRoot_Osqrt-{F}(V4,V6), P_c_HOL_Otimes__class_Otimes-{F}(V3,V6,V0,V7) | P_c_NthRoot_Osqrt-{T}(V5,V7)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1074: mergings( V3 == V4; #1072 ), references = 8, size of lhs = 7:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_NthRoot_Osqrt-{F}(V1,V4), P_c_NthRoot_Osqrt-{F}(V5,V5), P_c_HOL_Oabs__class_Oabs-{F}(V5,V0,V6) | P_c_HOL_Otimes__class_Otimes-{T}(V5,V5,V0,V6)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1088: mergings( V1 == V18, V5 == V6, V6 == V0, V0 == V19, V7 == V19, V19 == V10, V3 == V8, V8 == V20, V4 == V9; #1078 ), references = 1, size of lhs = 15:
% 69.06/69.23 P_c_Transcendental_Opi-{F}(V0), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V1), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V2), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V3), P_v_c____-{F}(V4), P_tc_Complex_Ocomplex-{F}(V5), P_c_HOL_Ozero__class_Ozero-{F}(V5,V6), P_c_RealVector_Onorm__class_Onorm-{F}(V4,V5,V7), P_tc_RealDef_Oreal-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V8,V9), P_c_NthRoot_Osqrt-{F}(V9,V9), P_tc_nat-{F}(V10), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V11,V10,V12), P_c_Nat_Osemiring__1__class_Oof__nat-{F}(V13,V10,V12), V11 == V13 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1099: exists( #597, #675 ), references = 1, size of lhs = 5:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_Transcendental_Oexp-{F}(V4,V0,V5) | P_c_Transcendental_Oln-{T}(V5,V4)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1130: mergings( V7 == V9, V9 == V0, V8 == V10, V10 == V0, V0 == V13, V3 == V5, V5 == V11, V4 == V6, V6 == V12; #1119 ), references = 1, size of lhs = 7:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_NthRoot_Osqrt-{F}(V1,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V5) | P_c_RealVector_Onorm__class_Onorm-{T}(V1,V0,V1)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1139: mergings( V7 == V0, V8 == V0, V0 == V9, V9 == V12, V3 == V5, V5 == V10, V4 == V6, V6 == V11; #1120 ), references = 1, size of lhs = 8:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_c_HOL_Ozero__class_Ozero-{F}(V0,V1), P_c_NthRoot_Osqrt-{F}(V1,V1), P_tc_nat-{F}(V2), P_c_Transcendental_Opi-{F}(V3), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V5), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V6) | P_c_RealVector_Onorm__class_Onorm-{T}(V1,V0,V1)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1144: mergings( V6 == V0, V7 == V8, V3 == V9, V4 == V5; #1118 ), references = 5, size of lhs = 6:
% 69.06/69.23 P_c_Transcendental_Opi-{F}(V0), P_tc_RealDef_Oreal-{F}(V1), P_c_HOL_Ozero__class_Ozero-{F}(V1,V2), c_lessequals-{F}(V2,V2,V1), P_c_NthRoot_Osqrt-{F}(V2,V3), P_tc_nat-{F}(V4) | P_c_RealVector_Onorm__class_Onorm-{T}(V2,V1,V2)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1165: mergings( V0 == V23, V21 == V24, V2 == V4, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V3 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V10 == V16, V11 == V17; #1150 ), references = 1, size of lhs = 13:
% 69.06/69.23 P_tc_nat-{F}(V0), P_c_Transcendental_Opi-{F}(V1), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V2), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V3), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V4), P_v_c____-{F}(V5), P_tc_Complex_Ocomplex-{F}(V6), P_c_RealVector_Onorm__class_Onorm-{F}(V5,V6,V7), P_tc_RealDef_Oreal-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V6,V9), P_c_HOL_Otimes__class_Otimes-{F}(V10,V11,V6,V9), V11 == V9, V10 == V9 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1208: mergings( V0 == V19, V17 == V20, V2 == V4, V4 == V7, V7 == V8, V8 == V10, V3 == V5, V5 == V6, V6 == V9, V9 == V11; #1196 ), references = 1, size of lhs = 12:
% 69.06/69.23 P_tc_nat-{F}(V0), P_c_Transcendental_Opi-{F}(V1), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V2), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V3), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V4), P_v_c____-{F}(V5), P_tc_Complex_Ocomplex-{F}(V6), P_c_RealVector_Onorm__class_Onorm-{F}(V5,V6,V7), P_tc_RealDef_Oreal-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V6,V9), P_c_HOL_Oinverse__class_Oinverse-{F}(V10,V6,V9), V10 == V9 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1227: mergings( V0 == V27, V23 == V25, V25 == V28, V2 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V16, V3 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V17, V12 == V18, V13 == V19, V14 == V20, V15 == V21, V24 == V26; #1197 ), references = 1, size of lhs = 12:
% 69.06/69.23 P_tc_nat-{F}(V0), P_c_Transcendental_Opi-{F}(V1), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V2), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V3), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V4), P_v_c____-{F}(V5), P_tc_Complex_Ocomplex-{F}(V6), P_c_RealVector_Onorm__class_Onorm-{F}(V5,V6,V7), P_tc_RealDef_Oreal-{F}(V8), P_c_HOL_Ozero__class_Ozero-{F}(V6,V9), P_c_HOL_Oinverse__class_Oinverse-{F}(V10,V6,V9), V10 == V9 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1284: mergings( V17 == V24, V2 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V19, V19 == V25, V3 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V20, V20 == V26, V12 == V21, V21 == V27, V13 == V22, V22 == V28, V14 == V23, V23 == V29, V15 == V30, V16 == V31, V18 == V33, V24 == V32; #1259 ), references = 1, size of lhs = 12:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V3), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V5), P_v_c____-{F}(V6), P_tc_Complex_Ocomplex-{F}(V7), P_c_HOL_Ozero__class_Ozero-{F}(V7,V8), P_c_RealVector_Onorm__class_Onorm-{F}(V6,V7,V9), P_c_RealVector_Onorm__class_Onorm-{F}(V10,V7,V9), V10 == V8 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1308: mergings( V17 == V24, V2 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V19, V19 == V25, V3 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V20, V20 == V26, V12 == V21, V21 == V27, V13 == V22, V22 == V28, V14 == V23, V23 == V29, V15 == V30, V16 == V31, V18 == V33, V24 == V32; #1260 ), references = 1, size of lhs = 12:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V3), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V5), P_v_c____-{F}(V6), P_tc_Complex_Ocomplex-{F}(V7), P_c_HOL_Ozero__class_Ozero-{F}(V7,V8), P_c_RealVector_Onorm__class_Onorm-{F}(V6,V7,V9), P_c_RealVector_Onorm__class_Onorm-{F}(V10,V7,V9), V10 == V8 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1331: mergings( V16 == V22, V22 == V29, V3 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V17, V17 == V24, V4 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V18, V18 == V25, V13 == V19, V19 == V26, V14 == V20, V20 == V27, V15 == V21, V21 == V28; #1309 ), references = 1, size of lhs = 10:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V3), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V5), P_v_c____-{F}(V6), P_tc_Complex_Ocomplex-{F}(V7), P_c_HOL_Ozero__class_Ozero-{F}(V7,V8), V6 == V8 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1352: mergings( V16 == V22, V22 == V29, V3 == V5, V5 == V8, V8 == V9, V9 == V11, V11 == V17, V17 == V24, V4 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V18, V18 == V25, V13 == V19, V19 == V26, V14 == V20, V20 == V27, V15 == V21, V21 == V28; #1310 ), references = 1, size of lhs = 10:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V3), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V5), P_v_c____-{F}(V6), P_tc_Complex_Ocomplex-{F}(V7), P_c_HOL_Ozero__class_Ozero-{F}(V7,V8), V6 == V8 | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1373: mergings( V2 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V15, V15 == V21, V3 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V16, V16 == V22, V12 == V17, V17 == V23, V13 == V18, V18 == V24, V14 == V19, V19 == V25; #1353 ), references = 1, size of lhs = 8:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V3), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V5), P_v_c____-{F}(V6), P_tc_Complex_Ocomplex-{F}(V7) | P_c_HOL_Ozero__class_Ozero-{T}(V7,V6)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1392: mergings( V2 == V4, V4 == V7, V7 == V8, V8 == V10, V10 == V15, V15 == V21, V3 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V16, V16 == V22, V12 == V17, V17 == V23, V13 == V18, V18 == V24, V14 == V19, V19 == V25; #1354 ), references = 1, size of lhs = 8:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V3), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V5), P_v_c____-{F}(V6), P_tc_Complex_Ocomplex-{F}(V7) | P_c_HOL_Ozero__class_Ozero-{T}(V7,V6)
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1419: mergings( V19 == V25, V1 == V3, V3 == V6, V6 == V7, V7 == V9, V9 == V14, V14 == V20, V20 == V26, V2 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V15, V15 == V21, V21 == V27, V11 == V16, V16 == V22, V22 == V28, V12 == V17, V17 == V23, V23 == V29, V13 == V18, V18 == V24, V24 == V30; #1394 ), references = 1, size of lhs = 7:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V3), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V5), P_v_c____-{F}(V6) | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1445: mergings( V19 == V25, V1 == V3, V3 == V6, V6 == V7, V7 == V9, V9 == V14, V14 == V20, V20 == V26, V2 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V15, V15 == V21, V21 == V27, V11 == V16, V16 == V22, V22 == V28, V12 == V17, V17 == V23, V23 == V29, V13 == V18, V18 == V24, V24 == V30; #1420 ), references = 1, size of lhs = 6:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V3), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V4), P_c_Complex_Osko__Complex__Xcnj__Xpos__bounded__1__1-{F}(V5) | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1468: mergings( V17 == V22, V1 == V3, V3 == V6, V6 == V7, V7 == V9, V9 == V13, V13 == V18, V18 == V23, V2 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V14, V14 == V19, V19 == V24, V11 == V15, V15 == V20, V20 == V25, V12 == V16, V16 == V21, V21 == V26; #1446 ), references = 1, size of lhs = 5:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V3), P_c_Complex_Osko__Complex__XIm__Xpos__bounded__1__1-{F}(V4) | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1488: mergings( V15 == V19, V1 == V3, V3 == V6, V6 == V7, V7 == V9, V9 == V12, V12 == V16, V16 == V20, V2 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V17, V17 == V21, V11 == V14, V14 == V18, V18 == V22; #1469 ), references = 1, size of lhs = 4:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2), P_c_Complex_Osko__Complex__XRe__Xpos__bounded__1__1-{F}(V3) | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1505: mergings( V13 == V16, V1 == V3, V3 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V17, V2 == V4, V4 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V18; #1489 ), references = 1, size of lhs = 3:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1), P_c_Transcendental_Opi-{F}(V2) | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1515: mergings( V7 == V9, V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10; #1506 ), references = 1, size of lhs = 2:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0), P_tc_nat-{F}(V1) | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1518: mergings( V1 == V2; #1516 ), references = 1, size of lhs = 1:
% 69.06/69.23 P_tc_RealDef_Oreal-{F}(V0) | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 #1520: exists( #575, #1516 ), references = 1, size of lhs = 0:
% 69.06/69.23 FALSE | FALSE
% 69.06/69.23 (used 0 times, uses = {})
% 69.06/69.23
% 69.06/69.23 number of learnt formulas = 54
% 69.06/69.23
% 69.06/69.23
% 69.06/69.23 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 69.06/69.23
% 69.06/69.23 randbase = 1
%------------------------------------------------------------------------------