init: 13.484sec
norm: 4.624sec
prop: 0.048sec
nb of constant: 820
nb of subterms: 0
nb_prop: 11450
Property of 1 constant: 
34: (!V0, (!V1, (((C0 V0) V1) = ((C0 V1) V0))))
  'none/thm/int/INT_MIN_ACI_0' 'none/thm/Complex/complexnumbers/COMPLEX_ADD_SYM_' 'none/thm/real/REAL_MAX_ACI_0' 'none/thm/arith/MULT_AC_0' 'none/thm/int/INT_MAX_SYM_' 'none/thm/Multivariate/complexes/COMPLEX_MUL_AC_0' 'none/thm/Library/poly/POLY_ADD_SYM_' 'none/thm/arith/MULT_SYM_' 'none/thm/Multivariate/complexes/COMPLEX_MUL_SYM_' 'none/thm/real/REAL_MAX_SYM_' 'none/thm/realax/REAL_MUL_SYM_' 'none/thm/int/INT_MIN_SYM_' 'none/thm/calc_int/REAL_ADD_AC_0' 'none/thm/realax/TREAL_ADD_SYM_EQ_' 'none/thm/realax/REAL_ADD_SYM_' 'none/thm/int/INT_ADD_AC_0' 'none/thm/int/INT_MAX_ACI_0' 'none/thm/real/REAL_MIN_ACI_0' 'none/thm/arith/ADD_AC_0' 'none/thm/real/REAL_MIN_SYM_' 'none/thm/realax/NADD_EQ_SYM_' 'none/thm/int/INT_ADD_SYM_' 'none/thm/arith/ADD_SYM_' 'none/thm/realax/HREAL_MUL_SYM_' 'none/thm/realax/HREAL_ADD_AC_0' 'none/thm/realax/TREAL_MUL_SYM_EQ_' 'none/thm/int/INT_MUL_AC_0' 'none/thm/realax/TREAL_EQ_SYM_' 'none/thm/Complex/complexnumbers/COMPLEX_MUL_AC_0' 'none/thm/realax/HREAL_ADD_SYM_' 'none/thm/int/INT_MUL_SYM_' 'none/thm/Complex/complexnumbers/COMPLEX_MUL_SYM_' 'none/thm/Complex/complexnumbers/COMPLEX_ADD_AC_0' 'none/thm/real/REAL_MUL_AC_0'
30: (!V2, (!V1, (!V0, (((C0 V2) ((C0 V1) V0)) = ((C0 ((C0 V2) V1)) V0)))))
  'none/thm/int/INT_MIN_ACI_1' 'none/thm/real/REAL_MAX_ASSOC_' 'none/thm/realax/REAL_MUL_ASSOC_' 'none/thm/real/REAL_MAX_ACI_1' 'none/thm/arith/MULT_AC_1' 'none/thm/Multivariate/complexes/COMPLEX_MUL_AC_1' 'none/thm/int/INT_MIN_ASSOC_' 'none/thm/int/INT_ADD_ASSOC_' 'none/thm/realax/HREAL_ADD_ASSOC_' 'none/thm/realax/REAL_ADD_ASSOC_' 'none/thm/int/INT_MAX_ASSOC_' 'none/thm/realax/HREAL_MUL_ASSOC_' 'none/thm/calc_int/REAL_ADD_AC_1' 'none/thm/int/INT_ADD_AC_1' 'none/thm/int/INT_MAX_ACI_1' 'none/thm/real/REAL_MIN_ACI_1' 'none/thm/arith/ADD_AC_1' 'none/thm/arith/ADD_ASSOC_' 'none/thm/Library/poly/POLY_ADD_ASSOC_' 'none/thm/Complex/complexnumbers/COMPLEX_ADD_ASSOC_' 'none/thm/realax/HREAL_ADD_AC_1' 'none/thm/arith/MULT_ASSOC_' 'none/thm/int/INT_MUL_AC_1' 'none/thm/Complex/complexnumbers/COMPLEX_MUL_AC_1' 'none/thm/real/REAL_MIN_ASSOC_' 'none/thm/Complex/complexnumbers/COMPLEX_MUL_ASSOC_' 'none/thm/int/INT_MUL_ASSOC_' 'none/thm/Multivariate/complexes/COMPLEX_MUL_ASSOC_' 'none/thm/Complex/complexnumbers/COMPLEX_ADD_AC_1' 'none/thm/real/REAL_MUL_AC_1'
25: (!V1, (!V0, ((V1 = V0) = ((C0 V1) = (C0 V0)))))
  'none/thm/Complex/complexnumbers/CX_INJ_' 'none/thm/Multivariate/complexes/CNJ_INJ_' 'none/thm/Multivariate/complexes/CX_INJ_' 'none/thm/int/INT_OF_NUM_EQ_' 'none/thm/Library/binary/BITSET_EQ_' 'none/thm/realax/HREAL_OF_NUM_EQ_' 'none/thm/realax/REAL_OF_NUM_EQ_' 'none/thm/Multivariate/vectors/DROP_EQ_' 'none/thm/int/INT_EQ_NEG2_' 'none/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_' 'none/thm/nums/IND_SUC_INJ_' 'none/thm/Complex/complexnumbers/CNJ_INJ_' 'none/thm/Library/transc/REAL_EXP_INJ_' 'none/thm/real/REAL_EQ_NEG2_' 'none/thm/Multivariate/transcendentals/ATN_INJ_' 'none/thm/calc_num/ARITH_57' 'none/thm/calc_num/ARITH_54' 'none/thm/Multivariate/vectors/LIFT_EQ_' 'none/thm/Library/transc/ATN_INJ_' 'none/thm/calc_num/ARITH_48' 'none/thm/Multivariate/vectors/SQRT_INJ_' 'none/thm/int/int_eq_' 'none/thm/real/REAL_EQ_INV2_' 'none/thm/nums/SUC_INJ_' 'none/thm/Multivariate/transcendentals/REAL_EXP_INJ_'
15: (!V1, (!V0, (((C0 V1) V0) = ((C0 V1) ((C0 V1) V0)))))
  'none/thm/int/INT_MIN_ACI_4' 'none/thm/Multivariate/topology/INTERIOR_INTERIOR_' 'none/thm/real/REAL_MAX_ACI_4' 'none/thm/Library/rstc/RTC_IDEMP_' 'none/thm/Library/rstc/RSC_IDEMP_' 'none/thm/Library/rstc/TC_IDEMP_' 'none/thm/Library/rstc/RSTC_IDEMP_' 'none/thm/int/INT_MAX_ACI_4' 'none/thm/real/REAL_MIN_ACI_4' 'none/thm/Multivariate/topology/CLOSURE_CLOSURE_' 'none/thm/Library/rstc/STC_IDEMP_' 'none/thm/Library/rstc/SC_IDEMP_' 'none/thm/Library/rstc/RC_IDEMP_' 'none/thm/Multivariate/vectors/SPAN_SPAN_' 'none/thm/Multivariate/convex/RELATIVE_INTERIOR_RELATIVE_INTERIOR_'
15: (!V1, (!V2, (!V0, (((C0 V1) V2) | ((~ ((C0 V0) V2)) | (~ ((C0 V1) V0)))))))
  'none/thm/int/INT_LT_TRANS_' 'none/thm/realax/TREAL_LE_TRANS_' 'none/thm/realax/HREAL_LE_TRANS_' 'none/thm/realax/REAL_LE_TRANS_' 'none/thm/Library/integer/INT_DIVIDES_TRANS_' 'none/thm/arith/LT_TRANS_' 'none/thm/int/INT_LE_TRANS_' 'none/thm/Library/prime/DIVIDES_TRANS_' 'none/thm/realarith/REAL_LT_TRANS_' 'none/thm/realax/NADD_EQ_TRANS_' 'none/thm/arith/LE_TRANS_' 'none/thm/Library/poly/POLY_DIVIDES_TRANS_' 'none/thm/realax/NADD_LE_TRANS_' 'none/thm/realax/TREAL_EQ_TRANS_' 'none/thm/Complex/cpoly/POLY_DIVIDES_TRANS_'
14: (!V1, (!V2, (!V0, (((C0 V1) ((C0 V2) V0)) = ((C0 V2) ((C0 V1) V0))))))
  'none/thm/int/INT_MIN_ACI_2' 'none/thm/real/REAL_MAX_ACI_2' 'none/thm/arith/MULT_AC_2' 'none/thm/Multivariate/complexes/COMPLEX_MUL_AC_2' 'none/thm/calc_int/REAL_ADD_AC_2' 'none/thm/int/INT_ADD_AC_2' 'none/thm/int/INT_MAX_ACI_2' 'none/thm/real/REAL_MIN_ACI_2' 'none/thm/arith/ADD_AC_2' 'none/thm/realax/HREAL_ADD_AC_2' 'none/thm/int/INT_MUL_AC_2' 'none/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2' 'none/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2' 'none/thm/real/REAL_MUL_AC_2'
13: (!V0, ((C0 V0) V0))
  'none/thm/Library/poly/POLY_DIVIDES_REFL_' 'none/thm/Library/prime/DIVIDES_REFL_' 'none/thm/Library/integer/INT_DIVIDES_REFL_' 'none/thm/realax/TREAL_EQ_REFL_' 'none/thm/realax/TREAL_LE_REFL_' 'none/thm/realax/NADD_EQ_REFL_' 'none/thm/realax/REAL_LE_REFL_' 'none/thm/int/INT_LE_REFL_' 'none/thm/arith/LE_REFL_' 'none/thm/Multivariate/misc/GE_REFL_' 'none/thm/realax/HREAL_LE_REFL_' 'none/thm/realax/NADD_LE_REFL_' 'none/thm/Complex/cpoly/POLY_DIVIDES_REFL_'
12: (!V2, (!V0, (!V1, ((V2 = V0) = (((C0 V1) V2) = ((C0 V1) V0))))))
  'none/thm/ind_types/INJN_INJ_' 'none/thm/realax/HREAL_EQ_ADD_LCANCEL_' 'none/thm/calc_int/REAL_EQ_ADD_LCANCEL_' 'none/thm/Multivariate/vectors/VECTOR_EQ_NEG2_' 'none/thm/ind_types/DEST_REC_INJ_' 'none/thm/Multivariate/transcendentals/ROTATE2D_EQ_' 'none/thm/ind_types/INJA_INJ_' 'none/thm/ind_types/INJF_INJ_' 'none/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_' 'none/thm/Multivariate/vectors/VEC_EQ_' 'none/thm/int/INT_EQ_ADD_LCANCEL_' 'none/thm/arith/EQ_ADD_LCANCEL_'
12: (!V3, (!V2, (!V1, (!V0, (((((C0 V3) V2) V1) V0) | (~ ((V2 V1) V0)))))))
  'none/thm/Library/rstc/TC_RULES_/0' 'none/thm/Library/rstc/TC_INC_' 'none/thm/Library/rstc/RC_INC_' 'none/thm/Library/rstc/SC_RULES_/0' 'none/thm/Library/rstc/RTC_RULES_/0' 'none/thm/Library/rstc/RC_RULES_/0' 'none/thm/Library/rstc/SC_INC_' 'none/thm/Library/rstc/RSC_INC_' 'none/thm/Library/rstc/RSTC_INC_' 'none/thm/Library/rstc/RTC_INC_' 'none/thm/Library/rstc/RSTC_RULES_/0' 'none/thm/Library/rstc/STC_INC_'
11: (!V3, (!V2, (!V1, (!V4, (!V0, (((((C0 V3) V2) V1) V4) | ((~ ((((C0 V3) V2) V0) V4)) | (~ ((((C0 V3) V2) V1) V0)))))))))
  'none/thm/Library/rstc/TC_TRANS_' 'none/thm/Library/rstc/TC_RULES_/1' 'none/thm/Library/rstc/STC_TRANS_' 'none/thm/Library/rstc/RTC_RULES_/2' 'none/thm/Multivariate/paths/HOMOTOPIC_PATHS_TRANS_' 'none/thm/Multivariate/paths/PATH_COMPONENT_TRANS_' 'none/thm/Library/rstc/RTC_TRANS_' 'none/thm/Library/rstc/RSTC_RULES_/3' 'none/thm/Multivariate/paths/HOMOTOPIC_LOOPS_TRANS_' 'none/thm/Multivariate/topology/CONNECTED_COMPONENT_TRANS_' 'none/thm/Library/rstc/RSTC_TRANS_'
Property of 2 constants: 
95: (!V1, (!V0, (((C1 V1) V0) | (~ ((C0 V1) V0)))))
  'none/thm/Multivariate/paths/PATH_CONNECTED_IMP_CONNECTED_' 'none/thm/Multivariate/paths/SIMPLY_CONNECTED_IMP_PATH_CONNECTED_' 'none/thm/Multivariate/measure/LEBESGUE_MEASURABLE_CONVEX_' 'none/thm/Multivariate/convex/SUBSPACE_IMP_CONVEX_' 'none/thm/realax/NADD_EQ_IMP_LE_' 'none/thm/Multivariate/topology/COMPACT_IMP_BOUNDED_' 'none/thm/Multivariate/polytope/POLYTOPE_IMP_POLYHEDRON_' 'none/thm/Multivariate/paths/STARLIKE_IMP_PATH_CONNECTED_' 'none/thm/Multivariate/polytope/POLYHEDRON_IMP_CLOSED_' 'none/thm/Multivariate/degree/AR_IMP_ANR_' 'none/thm/Multivariate/degree/OPEN_IMP_ANR_' 'none/thm/Library/card/FINITE_IMP_COUNTABLE_' 'none/thm/Multivariate/moretop/CONVEX_IMP_BORSUKIAN_' 'none/thm/realax/TREAL_EQ_IMP_LE_' 'none/thm/Multivariate/topology/CLOSED_SUBSPACE_' 'none/thm/Library/wo/WOSET_POSET_' 'none/thm/Multivariate/polytope/POLYTOPE_IMP_CONVEX_' 'none/thm/Multivariate/measure/LEBESGUE_MEASURABLE_COMPACT_' 'none/thm/Multivariate/convex/SUBSPACE_IMP_AFFINE_' 'none/thm/Multivariate/realanalysis/REAL_UNIFORMLY_CONTINUOUS_IMP_REAL_CONTINUOUS_' 'none/thm/Multivariate/measure/NEGLIGIBLE_IMP_MEASURABLE_' 'none/thm/Multivariate/convex/AFFINE_IMP_CONVEX_' 'none/thm/Multivariate/convex/COLLINEAR_IMP_COPLANAR_' 'none/thm/Multivariate/paths/CONIC_IMP_CONNECTED_' 'none/thm/Multivariate/degree/ENR_IMP_GDELTA_' 'none/thm/Multivariate/paths/ARC_IMP_SIMPLE_PATH_' 'none/thm/Multivariate/moretop/CONIC_IMP_BORSUKIAN_' 'none/thm/Multivariate/measure/FSIGMA_IMP_LEBESGUE_MEASURABLE_' 'none/thm/Multivariate/canal/ANALYTIC_IMP_HOLOMORPHIC_' 'none/thm/Multivariate/determinants/POSITIVE_DEFINITE_IMP_POSITIVE_SEMIDEFINITE_' 'none/thm/Multivariate/degree/AR_IMP_CONTRACTIBLE_' 'none/thm/Multivariate/topology/COMPACT_IMP_CLOSED_' 'none/thm/Multivariate/paths/STARLIKE_IMP_CONTRACTIBLE_' 'none/thm/Multivariate/convex/IS_INTERVAL_CONNECTED_' 'none/thm/Multivariate/moretop/STARLIKE_IMP_BORSUKIAN_' 'none/thm/Multivariate/topology/CLOSED_IMP_FSIGMA_' 'none/thm/Multivariate/paths/SIMPLY_CONNECTED_IMP_CONNECTED_' 'none/thm/Multivariate/polytope/POLYHEDRON_IMP_CONVEX_' 'none/thm/Multivariate/measure/MEASURABLE_IMP_LEBESGUE_MEASURABLE_' 'none/thm/Multivariate/degree/CONVEX_IMP_ANR_' 'none/thm/Multivariate/paths/CONVEX_IMP_CONTRACTIBLE_' 'none/thm/Multivariate/degree/IS_INTERVAL_IMP_FSIGMA_' 'none/thm/Multivariate/topology/OPEN_IMP_FSIGMA_' 'none/thm/Multivariate/realanalysis/REAL_LOG_CONVEX_IMP_CONVEX_' 'none/thm/Multivariate/paths/CONIC_IMP_CONTRACTIBLE_' 'none/thm/Multivariate/convex/CLOSED_AFFINE_' 'none/thm/Multivariate/paths/STARLIKE_IMP_SIMPLY_CONNECTED_' 'none/thm/Multivariate/realanalysis/ABSOLUTELY_REAL_INTEGRABLE_IMP_INTEGRABLE_' 'none/thm/Multivariate/polytope/SIMPLICIAL_COMPLEX_IMP_TRIANGULATION_' 'none/thm/Multivariate/degree/ENR_IMP_FSGIMA_' 'none/thm/Multivariate/degree/AR_IMP_PATH_CONNECTED_' 'none/thm/Multivariate/measure/LEBESGUE_MEASURABLE_CLOSED_' 'none/thm/Multivariate/measure/LEBESGUE_MEASURABLE_OPEN_' 'none/thm/Multivariate/topology/COMPLETE_SUBSPACE_' 'none/thm/Multivariate/polytope/POLYTOPE_IMP_COMPACT_' 'none/thm/Multivariate/degree/ENR_IMP_ANR_' 'none/thm/Multivariate/convex/SUBSPACE_IMP_CONVEX_CONE_' 'none/thm/Multivariate/paths/STARLIKE_IMP_CONNECTED_' 'none/thm/Multivariate/paths/ARC_IMP_PATH_' 'none/thm/Multivariate/topology/COMPACT_IMP_COMPLETE_' 'none/thm/Multivariate/paths/CONTRACTIBLE_IMP_CONNECTED_' 'none/thm/Multivariate/topology/CLOSED_IMP_GDELTA_' 'none/thm/Multivariate/moretop/CONTRACTIBLE_IMP_BORSUKIAN_' 'none/thm/arith/LT_IMP_LE_' 'none/thm/Multivariate/degree/AR_IMP_CONNECTED_' 'none/thm/Multivariate/measure/NEGLIGIBLE_IMP_LEBESGUE_MEASURABLE_' 'none/thm/Multivariate/polytope/AFFINE_IMP_POLYHEDRON_' 'none/thm/Multivariate/degree/IS_INTERVAL_IMP_GDELTA_' 'none/thm/Multivariate/moretop/CONTRACTIBLE_IMP_UNICOHERENT_' 'none/thm/Multivariate/topology/OPEN_IMP_GDELTA_' 'none/thm/Multivariate/paths/CONIC_IMP_PATH_CONNECTED_' 'none/thm/Multivariate/realanalysis/REAL_DIFFERENTIABLE_ON_IMP_REAL_CONTINUOUS_ON_' 'none/thm/realarith/REAL_LT_IMP_LE_' 'none/thm/Multivariate/polytope/POLYTOPE_IMP_CLOSED_' 'none/thm/Multivariate/convex/CONVEX_CONNECTED_' 'none/thm/Multivariate/paths/CONTRACTIBLE_IMP_SIMPLY_CONNECTED_' 'none/thm/Multivariate/polytope/POLYTOPE_IMP_BOUNDED_' 'none/thm/Multivariate/paths/CONVEX_IMP_SIMPLY_CONNECTED_' 'none/thm/Multivariate/convex/IS_INTERVAL_CONVEX_' 'none/thm/Multivariate/paths/IS_INTERVAL_PATH_CONNECTED_' 'none/thm/Multivariate/measure/MEASURABLE_COMPACT_' 'none/thm/Multivariate/integration/RECTIFIABLE_PATH_IMP_PATH_' 'none/thm/Multivariate/paths/CONVEX_IMP_PATH_CONNECTED_' 'none/thm/Multivariate/convex/AFFINE_DEPENDENT_IMP_DEPENDENT_' 'none/thm/Multivariate/moretop/BORSUKIAN_IMP_UNICOHERENT_' 'none/thm/Multivariate/realanalysis/INTEGRABLE_IMP_REAL_MEASURABLE_' 'none/thm/Multivariate/degree/OPEN_IMP_ENR_' 'none/thm/Multivariate/paths/CONTRACTIBLE_IMP_PATH_CONNECTED_' 'none/thm/Multivariate/moretop/CONVEX_IMP_UNICOHERENT_' 'none/thm/Multivariate/convex/SUBSPACE_IMP_CONIC_' 'none/thm/Multivariate/paths/SIMPLE_PATH_IMP_PATH_' 'none/thm/int/INT_LT_IMP_LE_' 'none/thm/Multivariate/degree/IS_INTERVAL_IMP_ENR_' 'none/thm/Multivariate/measure/GDELTA_IMP_LEBESGUE_MEASURABLE_' 'none/thm/Multivariate/paths/CONIC_IMP_SIMPLY_CONNECTED_'
33: (!V2, (!V1, (!V0, (((C0 (^V3, ((C1 (V2 V3)) (V1 V3)))) V0) | ((~ ((C0 V2) V0)) | (~ ((C0 V1) V0)))))))
  'none/thm/Multivariate/realanalysis/REAL_INTEGRABLE_ADD_' 'none/thm/Multivariate/realanalysis/REAL_DIFFERENTIABLE_ON_MUL_' 'none/thm/Multivariate/realanalysis/HAS_BOUNDED_REAL_VARIATION_ON_SUB_' 'none/thm/Multivariate/realanalysis/REAL_CONTINUOUS_ON_ADD_' 'none/thm/Multivariate/realanalysis/REAL_DIFFERENTIABLE_SUB_' 'none/thm/Multivariate/realanalysis/HAS_BOUNDED_REAL_VARIATION_ON_MAX_' 'none/thm/Multivariate/realanalysis/REAL_UNIFORMLY_CONTINUOUS_ON_ADD_' 'none/thm/Multivariate/realanalysis/ABSOLUTELY_REAL_INTEGRABLE_SUB_' 'none/thm/Multivariate/realanalysis/REAL_MEASURABLE_ON_MIN_' 'none/thm/Multivariate/realanalysis/REAL_MEASURABLE_ON_ADD_' 'none/thm/Multivariate/realanalysis/REAL_CONVEX_ADD_' 'none/thm/Multivariate/realanalysis/REAL_DIFFERENTIABLE_ON_SUB_' 'none/thm/Multivariate/realanalysis/REAL_CONTINUOUS_ON_MUL_' 'none/thm/Multivariate/realanalysis/REAL_LOG_CONVEX_ADD_' 'none/thm/Library/analysis/CONT_ADD_' 'none/thm/Multivariate/realanalysis/ABSOLUTELY_REAL_INTEGRABLE_MAX_' 'none/thm/Multivariate/realanalysis/REAL_MEASURABLE_ON_MUL_' 'none/thm/Multivariate/realanalysis/REAL_INTEGRABLE_SUB_' 'none/thm/Multivariate/canal/HOLOMORPHIC_ON_MUL_' 'none/thm/Multivariate/realanalysis/REAL_LOG_CONVEX_MUL_' 'none/thm/Library/analysis/CONT_MUL_' 'none/thm/Multivariate/realanalysis/REAL_CONTINUOUS_ON_SUB_' 'none/thm/Multivariate/realanalysis/REAL_UNIFORMLY_CONTINUOUS_ON_SUB_' 'none/thm/Multivariate/realanalysis/REAL_MEASURABLE_ON_SUB_' 'none/thm/Multivariate/realanalysis/HAS_BOUNDED_REAL_VARIATION_ON_MIN_' 'none/thm/Multivariate/realanalysis/HAS_BOUNDED_REAL_VARIATION_ON_ADD_' 'none/thm/Library/analysis/CONT_SUB_' 'none/thm/Multivariate/realanalysis/REAL_MEASURABLE_ON_MAX_' 'none/thm/Multivariate/realanalysis/REAL_DIFFERENTIABLE_ADD_' 'none/thm/Multivariate/realanalysis/ABSOLUTELY_REAL_INTEGRABLE_MIN_' 'none/thm/Multivariate/realanalysis/ABSOLUTELY_REAL_INTEGRABLE_ADD_' 'none/thm/Multivariate/canal/ANALYTIC_ON_MUL_' 'none/thm/Multivariate/realanalysis/REAL_DIFFERENTIABLE_ON_ADD_'
28: (!V1, (!V0, (((C1 V1) V0) = ((C1 (C0 V1)) (C0 V0)))))
  'none/thm/real/REAL_NEG_MUL2_' 'none/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_' 'none/thm/Multivariate/transcendentals/ATN_MONO_LT_EQ_' 'none/thm/Multivariate/vectors/SQRT_MONO_LT_EQ_' 'none/thm/Library/transc/REAL_EXP_MONO_LT_' 'none/thm/arith/SUB_SUC_' 'none/thm/Library/transc/ATN_MONO_LE_EQ_' 'none/thm/Library/transc/REAL_EXP_MONO_LE_' 'none/thm/arith/LE_SUC_' 'none/thm/Multivariate/transcendentals/REAL_EXP_MONO_LT_' 'none/thm/int/INT_NEG_MUL2_' 'none/thm/Multivariate/transcendentals/REAL_EXP_MONO_LE_' 'none/thm/Multivariate/transcendentals/ATN_MONO_LE_EQ_' 'none/thm/Multivariate/vectors/SQRT_MONO_LE_EQ_' 'none/thm/calc_num/ARITH_97' 'none/thm/calc_num/ARITH_94' 'none/thm/calc_num/ARITH_88' 'none/thm/calc_num/ARITH_87' 'none/thm/calc_num/ARITH_84' 'none/thm/calc_num/ARITH_78' 'none/thm/calc_num/ARITH_77' 'none/thm/calc_num/ARITH_74' 'none/thm/calc_num/ARITH_68' 'none/thm/calc_num/ARITH_67' 'none/thm/calc_num/ARITH_64' 'none/thm/calc_num/ARITH_58' 'none/thm/Library/transc/ATN_MONO_LT_EQ_' 'none/thm/arith/LT_SUC_'
27: (!V1, (!V0, ((C0 ((C1 V1) V0)) = ((C1 (C0 V1)) (C0 V0)))))
  'none/thm/real/REAL_ABS_MUL_' 'none/thm/Library/poly/POLYDIFF_ADD_' 'none/thm/Complex/complexnumbers/CNJ_MUL_' 'none/thm/int/INT_SGN_MUL_' 'none/thm/Complex/complexnumbers/COMPLEX_INV_MUL_' 'none/thm/Multivariate/vectors/SQRT_MUL_' 'none/thm/real/REAL_SGN_MUL_' 'none/thm/real/REAL_INV_MUL_' 'none/thm/Complex/complexnumbers/CNJ_SUB_' 'none/thm/Multivariate/complexes/COMPLEX_INV_MUL_' 'none/thm/Multivariate/complexes/CNJ_MUL_' 'none/thm/calc_num/ARITH_104' 'none/thm/real/REAL_ABS_DIV_' 'none/thm/Complex/complexnumbers/CNJ_DIV_' 'none/thm/Multivariate/vectors/SQRT_DIV_' 'none/thm/real/REAL_SGN_DIV_' 'none/thm/calc_int/REAL_NEG_ADD_' 'none/thm/int/INT_NEG_ADD_' 'none/thm/calc_num/ARITH_98' 'none/thm/int/INT_ABS_MUL_' 'none/thm/Complex/complexnumbers/COMPLEX_NEG_ADD_' 'none/thm/calc_num/ARITH_30' 'none/thm/calc_num/ARITH_20' 'none/thm/calc_num/ARITH_16' 'none/thm/calc_num/ARITH_10' 'none/thm/Complex/complexnumbers/CNJ_ADD_' 'none/thm/Multivariate/complexes/CNJ_DIV_'
25: (!V0, ((C0 (C1 V0)) = (C1 (C0 V0))))
  'none/thm/Multivariate/transcendentals/CNJ_CCOS_' 'none/thm/real/REAL_SGN_NEG_' 'none/thm/Multivariate/complexes/CNJ_INV_' 'none/thm/Multivariate/transcendentals/ATN_ABS_' 'none/thm/real/REAL_INV_NEG_' 'none/thm/real/REAL_ABS_SGN_' 'none/thm/Complex/complex_transc/CSIN_NEG_' 'none/thm/Library/transc/TAN_NEG_' 'none/thm/Multivariate/transcendentals/SIN_NEG_' 'none/thm/Library/transc/SIN_NEG_' 'none/thm/Multivariate/transcendentals/CNJ_CSIN_' 'none/thm/real/REAL_ABS_INV_' 'none/thm/Complex/complexnumbers/CNJ_INV_' 'none/thm/calc_num/ARITH_6' 'none/thm/calc_num/ARITH_2' 'none/thm/Multivariate/transcendentals/TAN_NEG_' 'none/thm/Multivariate/vectors/SQRT_INV_' 'none/thm/Multivariate/transcendentals/CNJ_CEXP_' 'none/thm/Multivariate/transcendentals/CNJ_CTAN_' 'none/thm/Complex/complexnumbers/CNJ_NEG_' 'none/thm/int/INT_SGN_NEG_' 'none/thm/Multivariate/transcendentals/ATN_NEG_' 'none/thm/Library/transc/ATN_NEG_' 'none/thm/Multivariate/vectors/SQRT_NEG_' 'none/thm/int/INT_ABS_SGN_'
24: (!V0, ((C1 V0) = (C1 (C0 V0))))
  'none/thm/Library/floor/INTEGER_NEG_' 'none/thm/Multivariate/vectors/REAL_SGN_SQRT_' 'none/thm/Library/floor/INTEGER_ABS_' 'none/thm/Library/integer/INT_PRIME_NEG_' 'none/thm/Library/floor/RATIONAL_INV_EQ_' 'none/thm/Multivariate/vectors/SQRT_WORKS_GEN_/0' 'none/thm/Library/integer/INT_PRIME_ABS_' 'none/thm/Multivariate/transcendentals/COS_NEG_' 'none/thm/Library/transc/COS_NEG_' 'none/thm/Multivariate/transcendentals/COS_ABS_' 'none/thm/Library/transc/COS_ABS_' 'none/thm/Multivariate/complexes/REAL_INV_EQ_' 'none/thm/Multivariate/complexes/RE_CNJ_' 'none/thm/Complex/complexnumbers/COMPLEX_NORM_CNJ_' 'none/thm/calc_int/REAL_ABS_NEG_' 'none/thm/int/INT_ABS_NEG_' 'none/thm/Complex/complexnumbers/COMPLEX_NORM_NEG_' 'none/thm/calc_num/ARITH_44' 'none/thm/calc_num/ARITH_40' 'none/thm/Complex/cpoly/POLY_NORMALIZE_' 'none/thm/Library/floor/RATIONAL_NEG_EQ_' 'none/thm/real/REAL_SGN_INV_' 'none/thm/Complex/complex_transc/CCOS_NEG_' 'none/thm/Library/poly/POLY_NORMALIZE_'
22: (!V1, (!V0, ((C1 V1) ((C0 V1) V0))))
  'none/thm/arith/LE_ADD_' 'none/thm/real/REAL_MAX_MAX_/0' 'none/thm/realax/NADD_LE_ADD_' 'none/thm/Multivariate/determinants/ORTHOGONAL_TRANSFORMATION_REFLECT_ALONG_' 'none/thm/Multivariate/convex/CONVEX_CONE_SPAN_' 'none/thm/sets/FINITE_SET_OF_LIST_' 'none/thm/realax/HREAL_LE_ADD_' 'none/thm/Multivariate/topology/CLOSED_SPAN_' 'none/thm/Multivariate/degree/ANR_INTERIOR_' 'none/thm/wf/WF_MEASURE_' 'none/thm/Multivariate/metric/ISTOPOLOGY_OPEN_IN_' 'none/thm/int/INT_MAX_MAX_/0' 'none/thm/Multivariate/convex/AFFINE_SPAN_' 'none/thm/Multivariate/vectors/SUBSPACE_SPAN_' 'none/thm/Multivariate/convex/CONIC_SPAN_' 'none/thm/Multivariate/topology/FRONTIER_CLOSED_' 'none/thm/Multivariate/topology/OPEN_INTERIOR_' 'none/thm/Multivariate/convex/CLOSED_RELATIVE_FRONTIER_' 'none/thm/Multivariate/topology/CLOSED_CLOSURE_' 'none/thm/Library/analysis/METRIC_ISMET_' 'none/thm/Multivariate/convex/CONVEX_SPAN_' 'none/thm/Multivariate/degree/ENR_INTERIOR_'
22: (!V3, (!V2, (!V4, (!V1, (!V0, (((((C0 V3) V2) (^V5, (((C1 V3) (V4 V5)) (V1 V5)))) V0) | ((~ ((((C0 V3) V2) V4) V0)) | (~ ((((C0 V3) V2) V1) V0)))))))))
  'none/thm/Multivariate/integration/ABSOLUTELY_INTEGRABLE_SUB_' 'none/thm/Multivariate/cauchy/PIECEWISE_DIFFERENTIABLE_SUB_' 'none/thm/Multivariate/topology/CONTINUOUS_ON_ADD_' 'none/thm/Multivariate/measure/MEASURABLE_ON_ADD_' 'none/thm/Multivariate/integration/HAS_BOUNDED_SETVARIATION_ON_ADD_' 'none/thm/Multivariate/topology/CONTINUOUS_SUB_' 'none/thm/Multivariate/derivatives/DIFFERENTIABLE_ADD_' 'none/thm/Multivariate/derivatives/DIFFERENTIABLE_ON_ADD_' 'none/thm/Multivariate/topology/UNIFORMLY_CONTINUOUS_ON_ADD_' 'none/thm/Multivariate/topology/CONTINUOUS_ON_SUB_' 'none/thm/Multivariate/integration/ABSOLUTELY_SETCONTINUOUS_ON_ADD_' 'none/thm/Multivariate/integration/INTEGRABLE_ADD_' 'none/thm/Multivariate/measure/MEASURABLE_ON_SUB_' 'none/thm/Multivariate/integration/HAS_BOUNDED_SETVARIATION_ON_SUB_' 'none/thm/Multivariate/integration/ABSOLUTELY_INTEGRABLE_ADD_' 'none/thm/Multivariate/derivatives/DIFFERENTIABLE_SUB_' 'none/thm/Multivariate/cauchy/PIECEWISE_DIFFERENTIABLE_ADD_' 'none/thm/Multivariate/derivatives/DIFFERENTIABLE_ON_SUB_' 'none/thm/Multivariate/topology/CONTINUOUS_ADD_' 'none/thm/Multivariate/topology/UNIFORMLY_CONTINUOUS_ON_SUB_' 'none/thm/Multivariate/integration/ABSOLUTELY_SETCONTINUOUS_ON_SUB_' 'none/thm/Multivariate/integration/INTEGRABLE_SUB_'
21: (!V1, (!V0, ((C0 ((C1 V1) V0)) = ((C1 (C0 V1)) V0))))
  'none/thm/arith/ADD_CLAUSES_2' 'none/thm/int/INT_NEG_LMUL_' 'none/thm/Complex/complexnumbers/COMPLEX_POW_INV_' 'none/thm/int/INT_MUL_LNEG_' 'none/thm/real/REAL_POW_INV_' 'none/thm/Multivariate/transcendentals/RPOW_INV_' 'none/thm/Multivariate/transcendentals/REAL_ABS_RPOW_' 'none/thm/Multivariate/complexes/COMPLEX_POW_INV_' 'none/thm/int/INT_ABS_POW_' 'none/thm/Library/analysis/POW_ABS_' 'none/thm/calc_int/REAL_MUL_LNEG_' 'none/thm/real/REAL_ABS_POW_' 'none/thm/Complex/complexnumbers/CNJ_POW_' 'none/thm/int/INT_SGN_POW_' 'none/thm/real/REAL_NEG_LMUL_' 'none/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_' 'none/thm/real/REAL_SGN_POW_' 'none/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_' 'none/thm/real/REAL_INV_POW_' 'none/thm/Multivariate/transcendentals/REAL_INV_RPOW_' 'none/thm/Multivariate/complexes/CNJ_POW_'
20: (!V2, (!V1, (!V0, (((C0 ((C1 V2) V1)) V0) = ((C1 ((C0 V2) V0)) ((C0 V1) V0))))))
  'none/thm/real/REAL_POW_DIV_' 'none/thm/Multivariate/transcendentals/RPOW_DIV_' 'none/thm/Multivariate/complexes/COMPLEX_POW_DIV_' 'none/thm/int/INT_ADD_RDISTRIB_' 'none/thm/real/REAL_ADD_RDISTRIB_' 'none/thm/int/INT_POW_MUL_' 'none/thm/Complex/complexnumbers/COMPLEX_POW_MUL_' 'none/thm/arith/MULT_EXP_' 'none/thm/Library/analysis/POW_MUL_' 'none/thm/real/REAL_POW_MUL_' 'none/thm/Multivariate/transcendentals/RPOW_MUL_' 'none/thm/Complex/complexnumbers/COMPLEX_ADD_RDISTRIB_' 'none/thm/Complex/complexnumbers/COMPLEX_SUB_RDISTRIB_' 'none/thm/Multivariate/complexes/COMPLEX_POW_MUL_' 'none/thm/arith/RIGHT_SUB_DISTRIB_' 'none/thm/arith/RIGHT_ADD_DISTRIB_' 'none/thm/int/INT_SUB_RDISTRIB_' 'none/thm/real/REAL_SUB_RDISTRIB_' 'none/thm/Complex/complexnumbers/COMPLEX_POW_DIV_' 'none/thm/realax/HREAL_ADD_RDISTRIB_'
Property: 
95: (!V1, (!V0, (((C1 V1) V0) | (~ ((C0 V1) V0)))))
  'none/thm/Multivariate/paths/PATH_CONNECTED_IMP_CONNECTED_' 'none/thm/Multivariate/paths/SIMPLY_CONNECTED_IMP_PATH_CONNECTED_' 'none/thm/Multivariate/measure/LEBESGUE_MEASURABLE_CONVEX_' 'none/thm/Multivariate/convex/SUBSPACE_IMP_CONVEX_' 'none/thm/realax/NADD_EQ_IMP_LE_' 'none/thm/Multivariate/topology/COMPACT_IMP_BOUNDED_' 'none/thm/Multivariate/polytope/POLYTOPE_IMP_POLYHEDRON_' 'none/thm/Multivariate/paths/STARLIKE_IMP_PATH_CONNECTED_' 'none/thm/Multivariate/polytope/POLYHEDRON_IMP_CLOSED_' 'none/thm/Multivariate/degree/AR_IMP_ANR_' 'none/thm/Multivariate/degree/OPEN_IMP_ANR_' 'none/thm/Library/card/FINITE_IMP_COUNTABLE_' 'none/thm/Multivariate/moretop/CONVEX_IMP_BORSUKIAN_' 'none/thm/realax/TREAL_EQ_IMP_LE_' 'none/thm/Multivariate/topology/CLOSED_SUBSPACE_' 'none/thm/Library/wo/WOSET_POSET_' 'none/thm/Multivariate/polytope/POLYTOPE_IMP_CONVEX_' 'none/thm/Multivariate/measure/LEBESGUE_MEASURABLE_COMPACT_' 'none/thm/Multivariate/convex/SUBSPACE_IMP_AFFINE_' 'none/thm/Multivariate/realanalysis/REAL_UNIFORMLY_CONTINUOUS_IMP_REAL_CONTINUOUS_' 'none/thm/Multivariate/measure/NEGLIGIBLE_IMP_MEASURABLE_' 'none/thm/Multivariate/convex/AFFINE_IMP_CONVEX_' 'none/thm/Multivariate/convex/COLLINEAR_IMP_COPLANAR_' 'none/thm/Multivariate/paths/CONIC_IMP_CONNECTED_' 'none/thm/Multivariate/degree/ENR_IMP_GDELTA_' 'none/thm/Multivariate/paths/ARC_IMP_SIMPLE_PATH_' 'none/thm/Multivariate/moretop/CONIC_IMP_BORSUKIAN_' 'none/thm/Multivariate/measure/FSIGMA_IMP_LEBESGUE_MEASURABLE_' 'none/thm/Multivariate/canal/ANALYTIC_IMP_HOLOMORPHIC_' 'none/thm/Multivariate/determinants/POSITIVE_DEFINITE_IMP_POSITIVE_SEMIDEFINITE_' 'none/thm/Multivariate/degree/AR_IMP_CONTRACTIBLE_' 'none/thm/Multivariate/topology/COMPACT_IMP_CLOSED_' 'none/thm/Multivariate/paths/STARLIKE_IMP_CONTRACTIBLE_' 'none/thm/Multivariate/convex/IS_INTERVAL_CONNECTED_' 'none/thm/Multivariate/moretop/STARLIKE_IMP_BORSUKIAN_' 'none/thm/Multivariate/topology/CLOSED_IMP_FSIGMA_' 'none/thm/Multivariate/paths/SIMPLY_CONNECTED_IMP_CONNECTED_' 'none/thm/Multivariate/polytope/POLYHEDRON_IMP_CONVEX_' 'none/thm/Multivariate/measure/MEASURABLE_IMP_LEBESGUE_MEASURABLE_' 'none/thm/Multivariate/degree/CONVEX_IMP_ANR_' 'none/thm/Multivariate/paths/CONVEX_IMP_CONTRACTIBLE_' 'none/thm/Multivariate/degree/IS_INTERVAL_IMP_FSIGMA_' 'none/thm/Multivariate/topology/OPEN_IMP_FSIGMA_' 'none/thm/Multivariate/realanalysis/REAL_LOG_CONVEX_IMP_CONVEX_' 'none/thm/Multivariate/paths/CONIC_IMP_CONTRACTIBLE_' 'none/thm/Multivariate/convex/CLOSED_AFFINE_' 'none/thm/Multivariate/paths/STARLIKE_IMP_SIMPLY_CONNECTED_' 'none/thm/Multivariate/realanalysis/ABSOLUTELY_REAL_INTEGRABLE_IMP_INTEGRABLE_' 'none/thm/Multivariate/polytope/SIMPLICIAL_COMPLEX_IMP_TRIANGULATION_' 'none/thm/Multivariate/degree/ENR_IMP_FSGIMA_' 'none/thm/Multivariate/degree/AR_IMP_PATH_CONNECTED_' 'none/thm/Multivariate/measure/LEBESGUE_MEASURABLE_CLOSED_' 'none/thm/Multivariate/measure/LEBESGUE_MEASURABLE_OPEN_' 'none/thm/Multivariate/topology/COMPLETE_SUBSPACE_' 'none/thm/Multivariate/polytope/POLYTOPE_IMP_COMPACT_' 'none/thm/Multivariate/degree/ENR_IMP_ANR_' 'none/thm/Multivariate/convex/SUBSPACE_IMP_CONVEX_CONE_' 'none/thm/Multivariate/paths/STARLIKE_IMP_CONNECTED_' 'none/thm/Multivariate/paths/ARC_IMP_PATH_' 'none/thm/Multivariate/topology/COMPACT_IMP_COMPLETE_' 'none/thm/Multivariate/paths/CONTRACTIBLE_IMP_CONNECTED_' 'none/thm/Multivariate/topology/CLOSED_IMP_GDELTA_' 'none/thm/Multivariate/moretop/CONTRACTIBLE_IMP_BORSUKIAN_' 'none/thm/arith/LT_IMP_LE_' 'none/thm/Multivariate/degree/AR_IMP_CONNECTED_' 'none/thm/Multivariate/measure/NEGLIGIBLE_IMP_LEBESGUE_MEASURABLE_' 'none/thm/Multivariate/polytope/AFFINE_IMP_POLYHEDRON_' 'none/thm/Multivariate/degree/IS_INTERVAL_IMP_GDELTA_' 'none/thm/Multivariate/moretop/CONTRACTIBLE_IMP_UNICOHERENT_' 'none/thm/Multivariate/topology/OPEN_IMP_GDELTA_' 'none/thm/Multivariate/paths/CONIC_IMP_PATH_CONNECTED_' 'none/thm/Multivariate/realanalysis/REAL_DIFFERENTIABLE_ON_IMP_REAL_CONTINUOUS_ON_' 'none/thm/realarith/REAL_LT_IMP_LE_' 'none/thm/Multivariate/polytope/POLYTOPE_IMP_CLOSED_' 'none/thm/Multivariate/convex/CONVEX_CONNECTED_' 'none/thm/Multivariate/paths/CONTRACTIBLE_IMP_SIMPLY_CONNECTED_' 'none/thm/Multivariate/polytope/POLYTOPE_IMP_BOUNDED_' 'none/thm/Multivariate/paths/CONVEX_IMP_SIMPLY_CONNECTED_' 'none/thm/Multivariate/convex/IS_INTERVAL_CONVEX_' 'none/thm/Multivariate/paths/IS_INTERVAL_PATH_CONNECTED_' 'none/thm/Multivariate/measure/MEASURABLE_COMPACT_' 'none/thm/Multivariate/integration/RECTIFIABLE_PATH_IMP_PATH_' 'none/thm/Multivariate/paths/CONVEX_IMP_PATH_CONNECTED_' 'none/thm/Multivariate/convex/AFFINE_DEPENDENT_IMP_DEPENDENT_' 'none/thm/Multivariate/moretop/BORSUKIAN_IMP_UNICOHERENT_' 'none/thm/Multivariate/realanalysis/INTEGRABLE_IMP_REAL_MEASURABLE_' 'none/thm/Multivariate/degree/OPEN_IMP_ENR_' 'none/thm/Multivariate/paths/CONTRACTIBLE_IMP_PATH_CONNECTED_' 'none/thm/Multivariate/moretop/CONVEX_IMP_UNICOHERENT_' 'none/thm/Multivariate/convex/SUBSPACE_IMP_CONIC_' 'none/thm/Multivariate/paths/SIMPLE_PATH_IMP_PATH_' 'none/thm/int/INT_LT_IMP_LE_' 'none/thm/Multivariate/degree/IS_INTERVAL_IMP_ENR_' 'none/thm/Multivariate/measure/GDELTA_IMP_LEBESGUE_MEASURABLE_' 'none/thm/Multivariate/paths/CONIC_IMP_SIMPLY_CONNECTED_'
47: (!V0, ((C3 V0) (C2 ((C1 C0) V0))))
  'none/thm/Multivariate/topology/CLOSED_EMPTY_' 'none/thm/Multivariate/topology/FSIGMA_EMPTY_' 'none/thm/Multivariate/polytope/POLYHEDRON_EMPTY_' 'none/thm/Multivariate/vectors/SUBSPACE_UNIV_' 'none/thm/Multivariate/paths/CONTRACTIBLE_EMPTY_' 'none/thm/Multivariate/convex/CONIC_UNIV_' 'none/thm/Multivariate/degree/ANR_EMPTY_' 'none/thm/Multivariate/degree/AR_UNIV_' 'none/thm/Multivariate/paths/SIMPLY_CONNECTED_EMPTY_' 'none/thm/Multivariate/paths/PATH_CONNECTED_EMPTY_' 'none/thm/Multivariate/convex/AFFINE_EMPTY_' 'none/thm/Multivariate/topology/CONNECTED_UNIV_' 'none/thm/Multivariate/moretop/UNICOHERENT_UNIV_' 'none/thm/Multivariate/measure/LEBESGUE_MEASURABLE_UNIV_' 'none/thm/Multivariate/convex/CONVEX_UNIV_' 'none/thm/Multivariate/vectors/COLLINEAR_EMPTY_' 'none/thm/Multivariate/degree/ENR_EMPTY_' 'none/thm/Multivariate/topology/GDELTA_UNIV_' 'none/thm/Multivariate/moretop/BORSUKIAN_UNIV_' 'none/thm/Multivariate/paths/PATH_CONNECTED_UNIV_' 'none/thm/Multivariate/topology/GDELTA_EMPTY_' 'none/thm/Multivariate/convex/COPLANAR_EMPTY_' 'none/thm/Multivariate/degree/ENR_UNIV_' 'none/thm/Multivariate/topology/CONNECTED_EMPTY_' 'none/thm/Multivariate/polytope/POLYTOPE_EMPTY_' 'none/thm/Multivariate/convex/CONIC_EMPTY_' 'none/thm/Multivariate/topology/COMPLETE_UNIV_' 'none/thm/Multivariate/convex/CONVEX_EMPTY_' 'none/thm/Multivariate/degree/ANR_UNIV_' 'none/thm/Multivariate/moretop/BORSUKIAN_EMPTY_' 'none/thm/Multivariate/topology/IS_INTERVAL_EMPTY_' 'none/thm/Multivariate/paths/CONTRACTIBLE_UNIV_' 'none/thm/Multivariate/integration/NEGLIGIBLE_EMPTY_' 'none/thm/Multivariate/topology/COMPACT_EMPTY_' 'none/thm/Multivariate/topology/CLOSED_UNIV_' 'none/thm/Multivariate/topology/IS_INTERVAL_UNIV_' 'none/thm/Multivariate/topology/OPEN_EMPTY_' 'none/thm/Multivariate/vectors/INDEPENDENT_EMPTY_' 'none/thm/Multivariate/polytope/POLYHEDRON_UNIV_' 'none/thm/Multivariate/measure/LEBESGUE_MEASURABLE_EMPTY_' 'none/thm/Multivariate/topology/BOUNDED_EMPTY_' 'none/thm/Multivariate/measure/MEASURABLE_EMPTY_' 'none/thm/Multivariate/topology/FSIGMA_UNIV_' 'none/thm/Multivariate/determinants/ORTHOGONAL_TRANSFORMATION_I_' 'none/thm/Multivariate/topology/OPEN_UNIV_' 'none/thm/Multivariate/convex/STARLIKE_UNIV_' 'none/thm/Multivariate/convex/AFFINE_UNIV_'
34: (!V0, (!V1, (((C0 V0) V1) = ((C0 V1) V0))))
  'none/thm/int/INT_MIN_ACI_0' 'none/thm/Complex/complexnumbers/COMPLEX_ADD_SYM_' 'none/thm/real/REAL_MAX_ACI_0' 'none/thm/arith/MULT_AC_0' 'none/thm/int/INT_MAX_SYM_' 'none/thm/Multivariate/complexes/COMPLEX_MUL_AC_0' 'none/thm/Library/poly/POLY_ADD_SYM_' 'none/thm/arith/MULT_SYM_' 'none/thm/Multivariate/complexes/COMPLEX_MUL_SYM_' 'none/thm/real/REAL_MAX_SYM_' 'none/thm/realax/REAL_MUL_SYM_' 'none/thm/int/INT_MIN_SYM_' 'none/thm/calc_int/REAL_ADD_AC_0' 'none/thm/realax/TREAL_ADD_SYM_EQ_' 'none/thm/realax/REAL_ADD_SYM_' 'none/thm/int/INT_ADD_AC_0' 'none/thm/int/INT_MAX_ACI_0' 'none/thm/real/REAL_MIN_ACI_0' 'none/thm/arith/ADD_AC_0' 'none/thm/real/REAL_MIN_SYM_' 'none/thm/realax/NADD_EQ_SYM_' 'none/thm/int/INT_ADD_SYM_' 'none/thm/arith/ADD_SYM_' 'none/thm/realax/HREAL_MUL_SYM_' 'none/thm/realax/HREAL_ADD_AC_0' 'none/thm/realax/TREAL_MUL_SYM_EQ_' 'none/thm/int/INT_MUL_AC_0' 'none/thm/realax/TREAL_EQ_SYM_' 'none/thm/Complex/complexnumbers/COMPLEX_MUL_AC_0' 'none/thm/realax/HREAL_ADD_SYM_' 'none/thm/int/INT_MUL_SYM_' 'none/thm/Complex/complexnumbers/COMPLEX_MUL_SYM_' 'none/thm/Complex/complexnumbers/COMPLEX_ADD_AC_0' 'none/thm/real/REAL_MUL_AC_0'
33: (!V2, (!V1, (!V0, (((C0 (^V3, ((C1 (V2 V3)) (V1 V3)))) V0) | ((~ ((C0 V2) V0)) | (~ ((C0 V1) V0)))))))
  'none/thm/Multivariate/realanalysis/REAL_INTEGRABLE_ADD_' 'none/thm/Multivariate/realanalysis/REAL_DIFFERENTIABLE_ON_MUL_' 'none/thm/Multivariate/realanalysis/HAS_BOUNDED_REAL_VARIATION_ON_SUB_' 'none/thm/Multivariate/realanalysis/REAL_CONTINUOUS_ON_ADD_' 'none/thm/Multivariate/realanalysis/REAL_DIFFERENTIABLE_SUB_' 'none/thm/Multivariate/realanalysis/HAS_BOUNDED_REAL_VARIATION_ON_MAX_' 'none/thm/Multivariate/realanalysis/REAL_UNIFORMLY_CONTINUOUS_ON_ADD_' 'none/thm/Multivariate/realanalysis/ABSOLUTELY_REAL_INTEGRABLE_SUB_' 'none/thm/Multivariate/realanalysis/REAL_MEASURABLE_ON_MIN_' 'none/thm/Multivariate/realanalysis/REAL_MEASURABLE_ON_ADD_' 'none/thm/Multivariate/realanalysis/REAL_CONVEX_ADD_' 'none/thm/Multivariate/realanalysis/REAL_DIFFERENTIABLE_ON_SUB_' 'none/thm/Multivariate/realanalysis/REAL_CONTINUOUS_ON_MUL_' 'none/thm/Multivariate/realanalysis/REAL_LOG_CONVEX_ADD_' 'none/thm/Library/analysis/CONT_ADD_' 'none/thm/Multivariate/realanalysis/ABSOLUTELY_REAL_INTEGRABLE_MAX_' 'none/thm/Multivariate/realanalysis/REAL_MEASURABLE_ON_MUL_' 'none/thm/Multivariate/realanalysis/REAL_INTEGRABLE_SUB_' 'none/thm/Multivariate/canal/HOLOMORPHIC_ON_MUL_' 'none/thm/Multivariate/realanalysis/REAL_LOG_CONVEX_MUL_' 'none/thm/Library/analysis/CONT_MUL_' 'none/thm/Multivariate/realanalysis/REAL_CONTINUOUS_ON_SUB_' 'none/thm/Multivariate/realanalysis/REAL_UNIFORMLY_CONTINUOUS_ON_SUB_' 'none/thm/Multivariate/realanalysis/REAL_MEASURABLE_ON_SUB_' 'none/thm/Multivariate/realanalysis/HAS_BOUNDED_REAL_VARIATION_ON_MIN_' 'none/thm/Multivariate/realanalysis/HAS_BOUNDED_REAL_VARIATION_ON_ADD_' 'none/thm/Library/analysis/CONT_SUB_' 'none/thm/Multivariate/realanalysis/REAL_MEASURABLE_ON_MAX_' 'none/thm/Multivariate/realanalysis/REAL_DIFFERENTIABLE_ADD_' 'none/thm/Multivariate/realanalysis/ABSOLUTELY_REAL_INTEGRABLE_MIN_' 'none/thm/Multivariate/realanalysis/ABSOLUTELY_REAL_INTEGRABLE_ADD_' 'none/thm/Multivariate/canal/ANALYTIC_ON_MUL_' 'none/thm/Multivariate/realanalysis/REAL_DIFFERENTIABLE_ON_ADD_'
31: (!V3, (!V0, (!V2, (((C4 V3) V0) = ((C4 V3) ((((C3 ((C2 C1) V3)) ((C2 C1) V3)) (^V1, (((C0 V3) V2) V1))) V0))))))
  'none/thm/Multivariate/convex/CONVEX_TRANSLATION_EQ_' 'none/thm/Multivariate/topology/OPEN_TRANSLATION_EQ_' 'none/thm/Multivariate/convex/AFF_DIM_TRANSLATION_EQ_' 'none/thm/Multivariate/topology/CLOSED_TRANSLATION_EQ_' 'none/thm/Multivariate/topology/COMPLETE_TRANSLATION_EQ_' 'none/thm/Multivariate/paths/CONTRACTIBLE_TRANSLATION_' 'none/thm/Multivariate/convex/AFFINE_DEPENDENT_TRANSLATION_EQ_' 'none/thm/Multivariate/topology/FSIGMA_TRANSLATION_' 'none/thm/Multivariate/topology/DIAMETER_TRANSLATION_' 'none/thm/Multivariate/measure/MEASURE_TRANSLATION_' 'none/thm/Multivariate/convex/STARLIKE_TRANSLATION_EQ_' 'none/thm/Multivariate/topology/IS_INTERVAL_TRANSLATION_EQ_' 'none/thm/Multivariate/degree/ENR_TRANSLATION_' 'none/thm/Multivariate/topology/BOUNDED_TRANSLATION_EQ_' 'none/thm/Multivariate/measure/NEGLIGIBLE_TRANSLATION_EQ_' 'none/thm/Multivariate/moretop/UNICOHERENT_TRANSLATION_' 'none/thm/Multivariate/degree/ANR_TRANSLATION_' 'none/thm/Multivariate/degree/AR_TRANSLATION_' 'none/thm/Multivariate/topology/GDELTA_TRANSLATION_' 'none/thm/Multivariate/topology/CONNECTED_TRANSLATION_EQ_' 'none/thm/Multivariate/determinants/COLLINEAR_TRANSLATION_EQ_' 'none/thm/Multivariate/moretop/BORSUKIAN_TRANSLATION_' 'none/thm/Multivariate/convex/AFFINE_TRANSLATION_EQ_' 'none/thm/Multivariate/paths/SIMPLY_CONNECTED_TRANSLATION_' 'none/thm/Multivariate/polytope/POLYTOPE_TRANSLATION_EQ_' 'none/thm/Multivariate/measure/LEBESGUE_MEASURABLE_TRANSLATION_' 'none/thm/Multivariate/measure/MEASURABLE_TRANSLATION_EQ_' 'none/thm/Multivariate/topology/COMPACT_TRANSLATION_EQ_' 'none/thm/Multivariate/convex/COPLANAR_TRANSLATION_EQ_' 'none/thm/Multivariate/paths/PATH_CONNECTED_TRANSLATION_EQ_' 'none/thm/Multivariate/polytope/POLYHEDRON_TRANSLATION_EQ_'
30: (!V2, (!V1, (!V0, (((C0 V2) ((C0 V1) V0)) = ((C0 ((C0 V2) V1)) V0)))))
  'none/thm/int/INT_MIN_ACI_1' 'none/thm/real/REAL_MAX_ASSOC_' 'none/thm/realax/REAL_MUL_ASSOC_' 'none/thm/real/REAL_MAX_ACI_1' 'none/thm/arith/MULT_AC_1' 'none/thm/Multivariate/complexes/COMPLEX_MUL_AC_1' 'none/thm/int/INT_MIN_ASSOC_' 'none/thm/int/INT_ADD_ASSOC_' 'none/thm/realax/HREAL_ADD_ASSOC_' 'none/thm/realax/REAL_ADD_ASSOC_' 'none/thm/int/INT_MAX_ASSOC_' 'none/thm/realax/HREAL_MUL_ASSOC_' 'none/thm/calc_int/REAL_ADD_AC_1' 'none/thm/int/INT_ADD_AC_1' 'none/thm/int/INT_MAX_ACI_1' 'none/thm/real/REAL_MIN_ACI_1' 'none/thm/arith/ADD_AC_1' 'none/thm/arith/ADD_ASSOC_' 'none/thm/Library/poly/POLY_ADD_ASSOC_' 'none/thm/Complex/complexnumbers/COMPLEX_ADD_ASSOC_' 'none/thm/realax/HREAL_ADD_AC_1' 'none/thm/arith/MULT_ASSOC_' 'none/thm/int/INT_MUL_AC_1' 'none/thm/Complex/complexnumbers/COMPLEX_MUL_AC_1' 'none/thm/real/REAL_MIN_ASSOC_' 'none/thm/Complex/complexnumbers/COMPLEX_MUL_ASSOC_' 'none/thm/int/INT_MUL_ASSOC_' 'none/thm/Multivariate/complexes/COMPLEX_MUL_ASSOC_' 'none/thm/Complex/complexnumbers/COMPLEX_ADD_AC_1' 'none/thm/real/REAL_MUL_AC_1'
29: (!V1, (!V0, ((C0 ((C2 V1) V0)) = ((C1 (C0 V1)) (C0 V0)))))
  'none/thm/int/int_add_th_' 'none/thm/Complex/complexnumbers/COMPLEX_NORM_MUL_' 'none/thm/Multivariate/transcendentals/REAL_EXP_ADD_' 'none/thm/real/REAL_OF_NUM_MIN_' 'none/thm/int/int_sub_th_' 'none/thm/int/int_mul_th_' 'none/thm/Complex/complexnumbers/CX_ADD_' 'none/thm/int/INT_OF_NUM_MAX_' 'none/thm/realax/REAL_OF_NUM_ADD_' 'none/thm/Library/transc/REAL_EXP_SUB_' 'none/thm/Complex/complex_transc/CEXP_SUB_' 'none/thm/Complex/complexnumbers/CX_MUL_' 'none/thm/realax/REAL_OF_NUM_MUL_' 'none/thm/Multivariate/complexes/CX_MUL_' 'none/thm/Multivariate/transcendentals/REAL_EXP_SUB_' 'none/thm/realax/HREAL_OF_NUM_ADD_' 'none/thm/Complex/complexnumbers/COMPLEX_NORM_DIV_' 'none/thm/Complex/complexnumbers/CX_SUB_' 'none/thm/real/REAL_OF_NUM_MAX_' 'none/thm/int/int_min_th_' 'none/thm/realax/HREAL_OF_NUM_MUL_' 'none/thm/int/INT_OF_NUM_MIN_' 'none/thm/int/INT_OF_NUM_ADD_' 'none/thm/int/int_max_th_' 'none/thm/Complex/complexnumbers/CX_DIV_' 'none/thm/int/INT_OF_NUM_MUL_' 'none/thm/Library/transc/REAL_EXP_ADD_' 'none/thm/Complex/complex_transc/CEXP_ADD_' 'none/thm/Multivariate/complexes/CX_DIV_'
28: (!V1, (!V0, (((C1 V1) V0) = ((C1 (C0 V1)) (C0 V0)))))
  'none/thm/real/REAL_NEG_MUL2_' 'none/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_' 'none/thm/Multivariate/transcendentals/ATN_MONO_LT_EQ_' 'none/thm/Multivariate/vectors/SQRT_MONO_LT_EQ_' 'none/thm/Library/transc/REAL_EXP_MONO_LT_' 'none/thm/arith/SUB_SUC_' 'none/thm/Library/transc/ATN_MONO_LE_EQ_' 'none/thm/Library/transc/REAL_EXP_MONO_LE_' 'none/thm/arith/LE_SUC_' 'none/thm/Multivariate/transcendentals/REAL_EXP_MONO_LT_' 'none/thm/int/INT_NEG_MUL2_' 'none/thm/Multivariate/transcendentals/REAL_EXP_MONO_LE_' 'none/thm/Multivariate/transcendentals/ATN_MONO_LE_EQ_' 'none/thm/Multivariate/vectors/SQRT_MONO_LE_EQ_' 'none/thm/calc_num/ARITH_97' 'none/thm/calc_num/ARITH_94' 'none/thm/calc_num/ARITH_88' 'none/thm/calc_num/ARITH_87' 'none/thm/calc_num/ARITH_84' 'none/thm/calc_num/ARITH_78' 'none/thm/calc_num/ARITH_77' 'none/thm/calc_num/ARITH_74' 'none/thm/calc_num/ARITH_68' 'none/thm/calc_num/ARITH_67' 'none/thm/calc_num/ARITH_64' 'none/thm/calc_num/ARITH_58' 'none/thm/Library/transc/ATN_MONO_LT_EQ_' 'none/thm/arith/LT_SUC_'
27: (!V1, (!V0, ((C0 ((C1 V1) V0)) = ((C1 (C0 V1)) (C0 V0)))))
  'none/thm/real/REAL_ABS_MUL_' 'none/thm/Library/poly/POLYDIFF_ADD_' 'none/thm/Complex/complexnumbers/CNJ_MUL_' 'none/thm/int/INT_SGN_MUL_' 'none/thm/Complex/complexnumbers/COMPLEX_INV_MUL_' 'none/thm/Multivariate/vectors/SQRT_MUL_' 'none/thm/real/REAL_SGN_MUL_' 'none/thm/real/REAL_INV_MUL_' 'none/thm/Complex/complexnumbers/CNJ_SUB_' 'none/thm/Multivariate/complexes/COMPLEX_INV_MUL_' 'none/thm/Multivariate/complexes/CNJ_MUL_' 'none/thm/calc_num/ARITH_104' 'none/thm/real/REAL_ABS_DIV_' 'none/thm/Complex/complexnumbers/CNJ_DIV_' 'none/thm/Multivariate/vectors/SQRT_DIV_' 'none/thm/real/REAL_SGN_DIV_' 'none/thm/calc_int/REAL_NEG_ADD_' 'none/thm/int/INT_NEG_ADD_' 'none/thm/calc_num/ARITH_98' 'none/thm/int/INT_ABS_MUL_' 'none/thm/Complex/complexnumbers/COMPLEX_NEG_ADD_' 'none/thm/calc_num/ARITH_30' 'none/thm/calc_num/ARITH_20' 'none/thm/calc_num/ARITH_16' 'none/thm/calc_num/ARITH_10' 'none/thm/Complex/complexnumbers/CNJ_ADD_' 'none/thm/Multivariate/complexes/CNJ_DIV_'
26: (!V1, (!V3, (!V2, (!V0, ((?V5, (?V4, ((~ (V5 = V4)) & ((V1 V5) = (V1 V4))))) | ((~ (((C4 V3) V2) V1)) | (((C3 V3) V0) = ((C3 V2) ((((C2 ((C1 C0) V3)) ((C1 C0) V2)) V1) V0)))))))))
  'none/thm/Multivariate/topology/BOUNDED_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/determinants/COLLINEAR_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/degree/ENR_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/paths/PATH_CONNECTED_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/vectors/DIM_INJECTIVE_LINEAR_IMAGE_' 'none/thm/Multivariate/topology/CONNECTED_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/convex/CONIC_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/topology/COMPACT_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/vectors/INDEPENDENT_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/convex/COPLANAR_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/convex/CONVEX_CONE_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/moretop/UNICOHERENT_INJECTIVE_LINEAR_IMAGE_' 'none/thm/Multivariate/vectors/DEPENDENT_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/degree/ANR_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/moretop/BORSUKIAN_INJECTIVE_LINEAR_IMAGE_' 'none/thm/Multivariate/topology/COMPLETE_INJECTIVE_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/convex/STARLIKE_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/convex/AFFINE_DEPENDENT_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/paths/CONTRACTIBLE_INJECTIVE_LINEAR_IMAGE_' 'none/thm/Multivariate/convex/CONVEX_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/paths/SIMPLY_CONNECTED_INJECTIVE_LINEAR_IMAGE_' 'none/thm/Multivariate/convex/AFF_DIM_INJECTIVE_LINEAR_IMAGE_' 'none/thm/Multivariate/topology/CLOSED_INJECTIVE_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/degree/AR_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/convex/AFFINE_LINEAR_IMAGE_EQ_' 'none/thm/Multivariate/vectors/SUBSPACE_LINEAR_IMAGE_EQ_'
