12.4167867787 'hl/thm/Multivariate/transcendentals/SIN_TAN_'#@#variant 'isa/sin_tan'#@#variant
12.4167867787 'hl/thm/Multivariate/transcendentals/COS_TAN_'#@#variant 'isa/cos_tan'#@#variant
11.7109113251 'hl/thm/Multivariate/complexes/POW_2_CSQRT_'#@#variant 'isa/csqrt_square'#@#variant
11.7109113251 'hl/thm/Multivariate/transcendentals/SINCOS_TOTAL_PI_'#@#variant 'isa/sincos_total_pi'#@#variant
11.7109113251 'hl/thm/Multivariate/transcendentals/SINCOS_TOTAL_PI2_'#@#variant 'isa/sincos_total_pi_half'#@#variant
10.2491795191 'hl/thm/Multivariate/transcendentals/SIN_ATN_'#@#variant 'isa/sin_arctan'#@#variant
10.2491795191 'hl/thm/Multivariate/transcendentals/COS_ATN_'#@#variant 'isa/cos_arctan'#@#variant
10.2491795191 'hl/thm/Multivariate/transcendentals/RE_POW_2_'#@#variant 'isa/Re_power2'#@#variant
9.48748496006 'hl/thm/Multivariate/transcendentals/RE_CEXP_'#@#variant 'isa/Re_exp'#@#variant
9.48748496006 'hl/thm/Multivariate/transcendentals/IM_CEXP_'#@#variant 'isa/Im_exp'#@#variant
9.48748496006 'hl/thm/Multivariate/realanalysis/AGM_SQRT_'#@#variant 'isa/arith_geo_mean_sqrt'#@#variant
9.48748496006 'hl/thm/Multivariate/complexes/CSQRT_PRINCIPAL_'#@#variant 'isa/csqrt_principal'#@#variant
9.48748496006 'hl/thm/Multivariate/transcendentals/ACS_NEG_'#@#variant 'isa/arccos_minus'#@#variant
9.2806776498 'hl/thm/Multivariate/transcendentals/SINCOS_TOTAL_2PI_'#@#variant 'isa/sincos_total_2pi'#@#variant
8.69962222175 'hl/thm/Multivariate/transcendentals/SIN_PI3_'#@#variant 'isa/sin_60'#@#variant
8.12228260047 'hl/thm/Multivariate/transcendentals/SIN_ZERO_'#@#variant 'isa/sin_zero_iff'#@#variant
8.12228260047 'hl/thm/Multivariate/transcendentals/COS_ZERO_'#@#variant 'isa/cos_zero_iff'#@#variant
7.87918570966 'hl/thm/real/REAL_ARCH_'#@#variant 'isa/reals_Archimedean3'#@#variant
7.87918570966 'hl/thm/Multivariate/transcendentals/LOG_SQRT_'#@#variant 'isa/ln_sqrt'#@#variant
7.87918570966 'hl/thm/Multivariate/transcendentals/ASN_NEG_'#@#variant 'isa/arcsin_minus'#@#variant
7.87918570966 'hl/thm/lists/APPEND_BUTLAST_LAST_' 'isa/append_butlast_last_id'
7.87918570966 'hl/thm/Multivariate/misc/SQRT_UNIQUE_'#@#variant 'isa/real_sqrt_unique'#@#variant
7.87918570966 'hl/thm/Multivariate/transcendentals/ASN_MONO_LT_EQ_'#@#variant 'isa/arcsin_less_mono'#@#variant
7.87918570966 'hl/thm/Multivariate/transcendentals/ACS_MONO_LT_EQ_'#@#variant 'isa/arccos_less_mono'#@#variant
7.87918570966 'hl/thm/Multivariate/transcendentals/ASN_MONO_LT_'#@#variant 'isa/arcsin_less_arcsin'#@#variant
7.87918570966 'hl/thm/Library/analysis/SER_ABS_' 'isa/summable_rabs'#@#variant
7.87918570966 'hl/thm/Library/analysis/INTERVAL_LEMMA_'#@#variant 'isa/lemma_interval'#@#variant
7.87918570966 'hl/thm/Multivariate/transcendentals/COS_MONO_LT_EQ_'#@#variant 'isa/cos_mono_less_eq'#@#variant
7.18051240373 'hl/thm/Multivariate/transcendentals/COS_ASN_'#@#variant 'isa/cos_arcsin'#@#variant
7.18051240373 'hl/thm/Multivariate/transcendentals/SIN_ACS_'#@#variant 'isa/sin_arccos'#@#variant
7.01655644585 'hl/thm/Multivariate/transcendentals/ASN_MONO_LE_'#@#variant 'isa/arcsin_le_arcsin'#@#variant
7.01655644585 'hl/thm/int/INT_LT_DISCRETE_'#@#variant 'isa/add1_zle_eq'#@#variant
7.01655644585 'hl/thm/lists/REPLICATE_0'#@#variant 'isa/replicate.simps_1'#@#variant
7.01655644585 'hl/thm/lists/REVERSE_1' 'isa/rev.simps_2'
7.01655644585 'hl/thm/Library/integer/INT_DIVIDES_LE_'#@#variant 'isa/dvd_imp_le_int'#@#variant
7.01655644585 'hl/thm/Multivariate/transcendentals/SIN_INJ_PI_'#@#variant 'isa/sin_inj_pi'#@#variant
7.01655644585 'hl/thm/Library/integer/INT_DIVIDES_POW2_REV_'#@#variant 'isa/pow_divides_pow_int'#@#variant
7.01655644585 'hl/thm/Multivariate/transcendentals/ACS_MONO_LE_EQ_'#@#variant 'isa/arccos_le_mono'#@#variant
7.01655644585 'hl/thm/Multivariate/transcendentals/COS_INJ_PI_'#@#variant 'isa/cos_inj_pi'#@#variant
7.01655644585 'hl/thm/Multivariate/transcendentals/COS_MONO_LE_EQ_'#@#variant 'isa/cos_mono_le_eq'#@#variant
7.01655644585 'hl/thm/Multivariate/transcendentals/ASN_MONO_LE_EQ_'#@#variant 'isa/arcsin_le_mono'#@#variant
7.01655644585 'hl/thm/Library/integer/INT_DIVIDES_POW2_EQ_'#@#variant 'isa/pow_divides_eq_int'#@#variant
7.01655644585 'hl/thm/Library/analysis/INTERVAL_LEMMA_LT_'#@#variant 'isa/lemma_interval_lt'#@#variant
7.01655644585 'hl/thm/lists/REPLICATE_1' 'isa/replicate.simps_2'
7.01655644585 'hl/thm/Library/prime/BEZOUT_ADD_STRONG_'#@#variant 'isa/bezout_add_strong_nat'#@#variant
7.01655644585 'hl/thm/lists/ZIP_1' 'isa/zip_Cons_Cons'
6.99615342814 'hl/thm/Multivariate/transcendentals/SIN_COS_SQRT_'#@#variant 'isa/sin_cos_sqrt'#@#variant
6.89428749596 'hl/thm/Multivariate/transcendentals/LOG_POW_'#@#variant 'isa/ln_realpow'#@#variant
6.89428749596 'hl/thm/Multivariate/transcendentals/COS_NPI_'#@#variant 'isa/cos_npi'#@#variant
6.89428749596 'hl/thm/Multivariate/transcendentals/TAN_BOUND_PI2_'#@#variant 'isa/tan_bound_pi2'#@#variant
6.24410694302 'hl/thm/Multivariate/transcendentals/REAL_EXP_N_' 'isa/exp_real_of_nat_mult'#@#variant
6.24410694302 'hl/thm/Multivariate/misc/POW_2_SQRT_ABS_'#@#variant 'isa/real_sqrt_abs'#@#variant
6.24410694302 'hl/thm/Multivariate/vectors/SQRT_POW_2_'#@#variant 'isa/real_sqrt_pow2'#@#variant
6.24410694302 'hl/thm/Multivariate/vectors/SQRT_POW2_'#@#variant 'isa/real_sqrt_pow2_iff'#@#variant
6.09617022101 'hl/thm/Library/analysis/LESS_EQ_IMP_LESS_SUC_' 'isa/le_imp_less_Suc'#@#variant
6.09617022101 'hl/thm/Multivariate/transcendentals/REAL_EXP_EQ_1_'#@#variant 'isa/exp_eq_one_iff'#@#variant
6.09617022101 'hl/thm/Library/integer/INT_DIVIDES_ONE_ABS_'#@#variant 'isa/zdvd1_eq'#@#variant
6.09617022101 'hl/thm/int/INT_IMAGE_' 'isa/int_cases2'#@#variant
6.09617022101 'hl/thm/Library/prime/BEZOUT_ADD_' 'isa/bezout_add_nat'#@#variant
6.09617022101 'hl/thm/Library/prime/DIVIDES_EXP2_REV_'#@#variant 'isa/pow_divides_pow_nat'#@#variant
6.09617022101 'hl/thm/arith/ADD_SUBR2_'#@#variant 'isa/diff_add_0'#@#variant
6.09617022101 'hl/thm/Multivariate/transcendentals/REAL_EXP_LE_X_'#@#variant 'isa/exp_ge_add_one_self'#@#variant
6.09617022101 'hl/thm/arith/LT_SUC_LE_' 'isa/le_simps_2'#@#variant
6.09617022101 'hl/thm/Library/prime/BEZOUT_' 'isa/bezout1_nat'#@#variant
6.09617022101 'hl/thm/Library/integer/INT_DIVIDES_ONE_'#@#variant 'isa/is_unit_int'#@#variant
6.09617022101 'hl/thm/arith/LE_SUC_LT_' 'isa/le_simps_3'#@#variant
6.09617022101 'hl/thm/Library/analysis/SUB_SUB_' 'isa/Nat.diff_diff_right'#@#variant
6.09617022101 'hl/thm/Library/analysis/SER_ACONV_' 'isa/summable_rabs_cancel'#@#variant
6.09617022101 'hl/thm/Library/analysis/LESS_OR_' 'isa/Suc_leI'#@#variant
6.09617022101 'hl/thm/Library/analysis/OR_LESS_' 'isa/Suc_le_lessD'#@#variant
5.56048942543 'hl/thm/int/INT_OF_NUM_POW_' 'isa/Nat_Transfer.transfer_int_nat_functions_4'#@#variant
5.56048942543 'hl/thm/Multivariate/transcendentals/TAN_TOTAL_LEMMA_'#@#variant 'isa/lemma_tan_total'#@#variant
5.56048942543 'hl/thm/Multivariate/transcendentals/TAN_TOTAL_POS_'#@#variant 'isa/tan_total_pos'#@#variant
5.56048942543 'hl/thm/Multivariate/complexes/CSQRT_'#@#variant 'isa/power2_csqrt'#@#variant
5.56048942543 'hl/thm/Multivariate/transcendentals/LOG_LE_'#@#variant 'isa/ln_add_one_self_le_self'#@#variant
5.56048942543 'hl/thm/Multivariate/transcendentals/LOG_INV_'#@#variant 'isa/ln_inverse'#@#variant
5.56048942543 'hl/thm/Multivariate/complexes/IM_CX_'#@#variant 'isa/Im_complex_of_real'#@#variant
5.56048942543 'hl/thm/Multivariate/transcendentals/ACS_INJ_'#@#variant 'isa/arccos_eq_iff'#@#variant
5.33414894338 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_EQ_0_'#@#variant 'isa/Im_complex_div_eq_0'#@#variant
5.33414894338 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_EQ_0_'#@#variant 'isa/Re_complex_div_eq_0'#@#variant
5.09007087279 'hl/thm/ind_types/list_INDUCT_' 'isa/list.induct'
5.09007087279 'hl/thm/Library/analysis/SEQ_SUBLE_' 'isa/seq_suble'#@#variant
5.09007087279 'hl/thm/lists/NOT_CONS_NIL_' 'isa/list.simps_3'
5.09007087279 'hl/thm/lists/HD_' 'isa/list.sel_1'
5.09007087279 'hl/thm/arith/LE_1' 'isa/le_Suc_eq'#@#variant
5.09007087279 'hl/thm/arith/SUB_ADD_LCANCEL_' 'isa/Nat.diff_cancel'#@#variant
5.09007087279 'hl/thm/pair/SND_' 'isa/prod.sel_2'
5.09007087279 'hl/thm/lists/FILTER_APPEND_' 'isa/filter_append'
5.09007087279 'hl/thm/lists/ITLIST_APPEND_' 'isa/foldr_append'
5.09007087279 'hl/thm/arith/SUB_ADD_RCANCEL_' 'isa/diff_cancel2'#@#variant
5.09007087279 'hl/thm/real/REAL_DOWN2_'#@#variant 'isa/real_lbound_gt_zero'#@#variant
5.09007087279 'hl/thm/lists/list_CASES_' 'isa/list.exhaust'
5.09007087279 'hl/thm/arith/LT_1' 'isa/less_Suc_eq'#@#variant
5.09007087279 'hl/thm/arith/LE_SQUARE_REFL_' 'isa/le_square'#@#variant
5.09007087279 'hl/thm/lists/TL_' 'isa/list.sel_3'
5.09007087279 'hl/thm/lists/MAP_APPEND_' 'isa/map_append'
5.09007087279 'hl/thm/lists/APPEND_1' 'isa/append.simps_2'
5.09007087279 'hl/thm/arith/LT_NZ_'#@#variant 'isa/neq0_conv'#@#variant
5.09007087279 'hl/thm/lists/REVERSE_APPEND_' 'isa/rev_append'
5.09007087279 'hl/thm/lists/EX_1' 'isa/list_ex_simps_1'
5.09007087279 'hl/thm/Library/analysis/LESS_LEMMA1_' 'isa/less_SucE'#@#variant
5.09007087279 'hl/thm/Library/prime/MULT_MONO_EQ_' 'isa/Suc_mult_cancel1'#@#variant
4.83110059916 'hl/thm/Multivariate/transcendentals/ASN_SIN_'#@#variant 'isa/arcsin_sin'#@#variant
4.83110059916 'hl/thm/Multivariate/transcendentals/ACS_MONO_LT_'#@#variant 'isa/arccos_less_arccos'#@#variant
4.83110059916 'hl/thm/Multivariate/transcendentals/TAN_ATN_'#@#variant 'isa/arctan_tan'#@#variant
4.83110059916 'hl/thm/Multivariate/transcendentals/TAN_MONO_LE_EQ_'#@#variant 'isa/tan_mono_le_eq'#@#variant
4.83110059916 'hl/thm/Multivariate/transcendentals/COS_MONO_LT_'#@#variant 'isa/cos_monotone_0_pi'#@#variant
4.83110059916 'hl/thm/Multivariate/transcendentals/COS_POS_PI_LE_'#@#variant 'isa/cos_ge_zero'#@#variant
4.83110059916 'hl/thm/Multivariate/transcendentals/COS_POS_PI_'#@#variant 'isa/cos_gt_zero_pi'#@#variant
4.83110059916 'hl/thm/Multivariate/transcendentals/SIN_MONO_LT_EQ_'#@#variant 'isa/sin_mono_less_eq'#@#variant
4.83110059916 'hl/thm/Multivariate/transcendentals/ROOT_POS_LE_'#@#variant 'isa/real_root_ge_zero'#@#variant
4.83110059916 'hl/thm/arith/MULT_SUC_' 'isa/mult_Suc_right'#@#variant
4.83110059916 'hl/thm/int/INT_EXISTS_POS_'#@#variant 'isa/transfer_int_nat_quantifiers_2'#@#variant
4.83110059916 'hl/thm/Multivariate/transcendentals/ROOT_0_'#@#variant 'isa/real_root_zero'#@#variant
4.83110059916 'hl/thm/Multivariate/transcendentals/REAL_ABS_SIN_BOUND_LE_' 'isa/abs_sin_x_le_abs_x'#@#variant
4.83110059916 'hl/thm/Multivariate/transcendentals/REAL_EXP_LOG_'#@#variant 'isa/exp_ln_iff'#@#variant
4.83110059916 'hl/thm/Library/transc/LESS_1_'#@#variant 'isa/less_one'#@#variant
4.83110059916 'hl/thm/int/INT_FORALL_POS_'#@#variant 'isa/transfer_int_nat_quantifiers_1'#@#variant
4.83110059916 'hl/thm/Multivariate/transcendentals/EXP_LOG_'#@#variant 'isa/exp_ln'#@#variant
4.83110059916 'hl/thm/Multivariate/misc/REAL_HALF_1'#@#variant 'isa/real_sum_of_halves'#@#variant
4.83110059916 'hl/thm/Library/transc/LESS_1_'#@#variant 'isa/less_Suc0'#@#variant
4.83110059916 'hl/thm/Library/analysis/REAL_HALF_DOUBLE_'#@#variant 'isa/real_sum_of_halves'#@#variant
4.83110059916 'hl/thm/Multivariate/vectors/REAL_DIV_SQRT_'#@#variant 'isa/real_div_sqrt'#@#variant
4.83110059916 'hl/thm/arith/SUB_EQ_0_'#@#variant 'isa/diff_is_0_eq'#@#variant
4.83110059916 'hl/thm/Multivariate/transcendentals/COS_ATN_NZ_'#@#variant 'isa/cos_arctan_not_zero'#@#variant
4.83110059916 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_EQ_'#@#variant 'isa/zdvd_mono'#@#variant
4.83110059916 'hl/thm/Library/integer/INT_DIVIDES_CMUL2_'#@#variant 'isa/zdvd_mult_cancel'#@#variant
4.7895448939 'hl/thm/Multivariate/complexes/RE_CSQRT_'#@#variant 'isa/Re_csqrt'#@#variant
4.7895448939 'hl/thm/lists/CONS_HD_TL_' 'isa/list.collapse'
4.7895448939 'hl/thm/lists/CONS_HD_TL_' 'isa/hd_Cons_tl'
4.7895448939 'hl/thm/lists/CONS_HD_TL_' 'isa/list.exhaust_sel'
4.59619166397 'hl/thm/Multivariate/transcendentals/TAN_PERIODIC_NPI_' 'isa/tan_periodic_nat'#@#variant
4.30218188765 'hl/thm/int/INT_LE_DISCRETE_'#@#variant 'isa/zle_add1_eq_le'#@#variant
4.30218188765 'hl/thm/Multivariate/transcendentals/ATN_1_'#@#variant 'isa/arctan_one'#@#variant
4.16273796201 'hl/thm/int/INT_OF_NUM_SUB_' 'isa/zdiff_int'#@#variant
4.16273796201 'hl/thm/Multivariate/transcendentals/TAN_MONO_LE_'#@#variant 'isa/tan_mono_le'#@#variant
4.16273796201 'hl/thm/Multivariate/vectors/REAL_LT_RSQRT_'#@#variant 'isa/real_less_rsqrt'#@#variant
4.16273796201 'hl/thm/Multivariate/transcendentals/SIN_MONO_LT_'#@#variant 'isa/sin_monotone_2pi'#@#variant
4.16273796201 'hl/thm/Multivariate/vectors/REAL_LE_RSQRT_'#@#variant 'isa/real_le_rsqrt'#@#variant
4.1612835555 'hl/thm/arith/DIV_LT_'#@#variant 'isa/binomial_eq_0'#@#variant
4.1612835555 'hl/thm/Library/prime/DIVIDES_EXP2_EQ_'#@#variant 'isa/pow_divides_eq_nat'#@#variant
4.03378572969 'hl/thm/lists/ALL_APPEND_' 'isa/list_all_append'
4.03378572969 'hl/thm/lists/MAP_0' 'isa/list.map_1'
4.03378572969 'hl/thm/lists/APPEND_NIL_' 'isa/append_Nil2'
4.03378572969 'hl/thm/lists/ALL2_3' 'isa/list_all2_Cons'
4.03378572969 'hl/thm/Library/prime/DIVIDES_0_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.top_greatest'#@#variant
4.03378572969 'hl/thm/Multivariate/transcendentals/REAL_ABS_EXP_' 'isa/abs_exp_cancel'#@#variant
4.03378572969 'hl/thm/Library/analysis/LESS_EQUAL_ADD_' 'isa/le_Suc_ex'#@#variant
4.03378572969 'hl/thm/lists/APPEND_EQ_NIL_' 'isa/append_is_Nil_conv'
4.03378572969 'hl/thm/lists/MAP_1' 'isa/list.map_2'
4.03378572969 'hl/thm/ind_types/FCONS_1' 'isa/nat.case_2'
4.03378572969 'hl/thm/arith/EVEN_1' 'isa/even_Suc'#@#variant
4.03378572969 'hl/thm/arith/DIV_0_'#@#variant 'isa/binomial.simps_1/1'#@#variant
4.03378572969 'hl/thm/lists/ALL2_3' 'isa/list.simps_11'
4.03378572969 'hl/thm/lists/ALL2_DEF_0' 'isa/list_all2_Nil'
4.03378572969 'hl/thm/lists/APPEND_EQ_NIL_' 'isa/Nil_is_append_conv'
4.03378572969 'hl/thm/Library/prime/DIVIDES_ZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.top_unique'#@#variant
4.03378572969 'hl/thm/arith/LT_MULT_'#@#variant 'isa/nat_0_less_mult_iff'#@#variant
4.03378572969 'hl/thm/lists/APPEND_0' 'isa/append.simps_1'
4.03378572969 'hl/thm/Library/analysis/LESS_SUC_' 'isa/less_SucI'#@#variant
4.03378572969 'hl/thm/ind_types/FCONS_0'#@#variant 'isa/nat.case_1'#@#variant
3.93959285483 'hl/thm/lists/CONS_11_' 'isa/list.simps_1'
3.93959285483 'hl/thm/lists/MONO_ALL2_' 'isa/list_all2_mono'
3.75932697196 'hl/thm/Multivariate/complexes/IM_DIV_CX_'#@#variant 'isa/Im_divide_of_real'#@#variant
3.75932697196 'hl/thm/Multivariate/complexes/RE_DIV_CX_'#@#variant 'isa/Re_divide_of_real'#@#variant
3.73784965763 'hl/thm/Multivariate/transcendentals/RPOW_LE_1_'#@#variant 'isa/ge_one_powr_ge_zero'#@#variant
3.70699295029 'hl/thm/Multivariate/transcendentals/TAN_MONO_LT_EQ_'#@#variant 'isa/tan_mono_lt_eq'#@#variant
3.70699295029 'hl/thm/Multivariate/transcendentals/TAN_MONO_LT_EQ_'#@#variant 'isa/tan_monotone\''#@#variant
3.70699295029 'hl/thm/Multivariate/transcendentals/ACS_MONO_LE_'#@#variant 'isa/arccos_le_arccos'#@#variant
3.70699295029 'hl/thm/Multivariate/transcendentals/COS_MONO_LE_'#@#variant 'isa/cos_monotone_0_pi_le'#@#variant
3.70699295029 'hl/thm/real/REAL_LT_LNEG_'#@#variant 'isa/real_0_less_add_iff'#@#variant
3.70699295029 'hl/thm/Multivariate/transcendentals/SIN_MONO_LE_EQ_'#@#variant 'isa/sin_mono_le_eq'#@#variant
3.70699295029 'hl/thm/Multivariate/transcendentals/SIN_MONO_LE_'#@#variant 'isa/sin_monotone_2pi_le'#@#variant
3.70699295029 'hl/thm/Multivariate/transcendentals/TAN_MONO_LT_'#@#variant 'isa/tan_monotone'#@#variant
3.70699295029 'hl/thm/calc_int/REAL_LE_LNEG_'#@#variant 'isa/real_0_le_add_iff'#@#variant
3.70699295029 'hl/thm/Multivariate/transcendentals/RPOW_SQRT_'#@#variant 'isa/powr_half_sqrt'#@#variant
3.62156281045 'hl/thm/Multivariate/transcendentals/SIN_NPI_'#@#variant 'isa/sin_npi'#@#variant
3.62156281045 'hl/thm/Multivariate/transcendentals/TAN_NPI_'#@#variant 'isa/tan_npi'#@#variant
3.60990337799 'hl/thm/Multivariate/complexes/CSQRT_CX_'#@#variant 'isa/of_real_sqrt'#@#variant
3.60990337799 'hl/thm/Multivariate/complexes/CX_SQRT_'#@#variant 'isa/of_real_sqrt'#@#variant
3.60613389513 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_LT_0_'#@#variant 'isa/Re_complex_div_lt_0'#@#variant
3.60613389513 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_LE_0_'#@#variant 'isa/Re_complex_div_le_0'#@#variant
3.60613389513 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_LT_0_'#@#variant 'isa/Im_complex_div_lt_0'#@#variant
3.60613389513 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_LE_0_'#@#variant 'isa/Im_complex_div_le_0'#@#variant
3.47451390814 'hl/thm/lists/FILTER_0' 'isa/filter.simps_1'
3.47451390814 'hl/thm/lists/ALL_1' 'isa/list.pred_inject_2'
3.47451390814 'hl/thm/Multivariate/transcendentals/LOG_INJ_'#@#variant 'isa/ln_inj_iff'#@#variant
3.47451390814 'hl/thm/lists/MAP_REVERSE_' 'isa/rev_map'
3.47451390814 'hl/thm/lists/ALL_1' 'isa/list_all_simps_1'
3.34774821526 'hl/thm/Multivariate/transcendentals/COS_PI3_'#@#variant 'isa/cos_60'#@#variant
3.34774821526 'hl/thm/Multivariate/transcendentals/TAN_PI4_'#@#variant 'isa/tan_45'#@#variant
3.34774821526 'hl/thm/Multivariate/transcendentals/LOG_DIV_'#@#variant 'isa/ln_div'#@#variant
3.34774821526 'hl/thm/Multivariate/transcendentals/LOG_MUL_'#@#variant 'isa/ln_mult'#@#variant
3.22073373277 'hl/thm/arith/SUC_SUB1_'#@#variant 'isa/diff_Suc_1'#@#variant
3.22073373277 'hl/thm/Multivariate/transcendentals/REAL_ROOT_DIV_' 'isa/real_root_divide'#@#variant
3.22073373277 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant 'isa/arctan/0'#@#variant
3.22073373277 'hl/thm/Library/analysis/SUC_SUB1_'#@#variant 'isa/diff_Suc_1'#@#variant
3.22073373277 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant 'isa/arctan_lbound'#@#variant
3.22073373277 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant 'isa/arctan_bounded/0'#@#variant
3.22073373277 'hl/thm/Multivariate/transcendentals/RPOW_NEG_' 'isa/powr_minus'#@#variant
3.22073373277 'hl/thm/Multivariate/transcendentals/REAL_ROOT_MUL_' 'isa/real_root_mult'#@#variant
3.22073373277 'hl/thm/Multivariate/complexes/RE_CNJ_'#@#variant 'isa/cnj.sel_1'
3.12205347151 'hl/thm/pair/PAIR_SURJECTIVE_' 'isa/surj_pair'
3.12205347151 'hl/thm/pair/PAIR_SURJECTIVE_' 'isa/prod.exhaust'
3.12205347151 'hl/thm/pair/PAIR_EQ_' 'isa/prod.simps_1'
3.12205347151 'hl/thm/pair/PAIR_EQ_' 'isa/old.prod.simps_1'
3.12205347151 'hl/thm/lists/REVERSE_REVERSE_' 'isa/rev_rev_ident'
3.12096266663 'hl/thm/Library/analysis/LESS_0_CASES_'#@#variant 'isa/gr0I'#@#variant
3.12096266663 'hl/thm/arith/LE_1_0'#@#variant 'isa/gr0I'#@#variant
3.12096266663 'hl/thm/nums/num_CASES_'#@#variant 'isa/not0_implies_Suc'#@#variant
3.12096266663 'hl/thm/nums/num_CASES_'#@#variant 'isa/fact.cases'#@#variant
3.12096266663 'hl/thm/arith/SUB_SUC_' 'isa/diff_Suc_Suc'#@#variant
3.12096266663 'hl/thm/Library/prime/DIVISION_DECOMP_' 'isa/division_decomp_nat'#@#variant
3.12096266663 'hl/thm/Library/prime/LESS_0_CASES_'#@#variant 'isa/gr0I'#@#variant
3.12096266663 'hl/thm/arith/MOD_LT_' 'isa/Divides.mod_less'#@#variant
3.12096266663 'hl/thm/Library/integer/INT_DIVISION_DECOMP_' 'isa/division_decomp_int'#@#variant
3.12096266663 'hl/thm/arith/ADD_SUB_' 'isa/diff_add_inverse2'#@#variant
3.12096266663 'hl/thm/arith/ADD_SUB2_' 'isa/diff_add_inverse'#@#variant
3.12096266663 'hl/thm/nums/num_CASES_'#@#variant 'isa/nat.exhaust'#@#variant
3.10211859919 'hl/thm/Multivariate/transcendentals/COS_BOUND_'#@#variant 'isa/abs_cos_le_one'#@#variant
3.10211859919 'hl/thm/int/INT_OF_NUM_OF_INT_'#@#variant 'isa/int_nat_eq/0'#@#variant
3.10211859919 'hl/thm/int/INT_OF_NUM_OF_INT_'#@#variant 'isa/nat_0_le'#@#variant
3.10211859919 'hl/thm/Multivariate/transcendentals/SIN_BOUND_'#@#variant 'isa/abs_sin_le_one'#@#variant
2.93346491365 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_GT_0_'#@#variant 'isa/Re_complex_div_gt_0'#@#variant
2.93346491365 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_GT_0_'#@#variant 'isa/complex_div_gt_0/1'#@#variant
2.93346491365 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_GE_0_'#@#variant 'isa/Re_complex_div_ge_0'#@#variant
2.93346491365 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_GT_0_'#@#variant 'isa/complex_div_gt_0/0'#@#variant
2.93346491365 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_GT_0_'#@#variant 'isa/Im_complex_div_gt_0'#@#variant
2.93346491365 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_GE_0_'#@#variant 'isa/Im_complex_div_ge_0'#@#variant
2.92091992434 'hl/thm/Multivariate/transcendentals/TAN_COT_'#@#variant 'isa/tan_cot'#@#variant
2.88950061451 'hl/thm/Multivariate/transcendentals/COS_ACS_'#@#variant 'isa/cos_arccos'#@#variant
2.88950061451 'hl/thm/Multivariate/transcendentals/SIN_ASN_'#@#variant 'isa/sin_arcsin'#@#variant
2.88950061451 'hl/thm/Multivariate/transcendentals/ACS_COS_'#@#variant 'isa/arccos_cos'#@#variant
2.87372693634 'hl/thm/arith/LT_IMP_LE_' 'isa/le_simps_1'#@#variant
2.87372693634 'hl/thm/lists/MAP_I_' 'isa/List.map.id'
2.79300251124 'hl/thm/Multivariate/transcendentals/ROOT_NEG_' 'isa/real_root_minus'#@#variant
2.79300251124 'hl/thm/Multivariate/transcendentals/REAL_ROOT_INV_' 'isa/real_root_inverse'#@#variant
2.79300251124 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant 'isa/ln_less_self'#@#variant
2.69520286373 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant 'isa/real_mult_less_iff1'#@#variant
2.69520286373 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant 'isa/pi_half_less_two'#@#variant
2.69520286373 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant 'isa/real_mult_le_cancel_iff1'#@#variant
2.68919048646 'hl/thm/arith/EQ_MULT_RCANCEL_'#@#variant 'isa/mult_cancel2'#@#variant
2.68919048646 'hl/thm/real/REAL_EQ_SUB_LADD_' 'isa/eq_diff_eq\''#@#variant
2.68919048646 'hl/thm/lists/MAP_EQ_NIL_' 'isa/map_is_Nil_conv'
2.68919048646 'hl/thm/lists/MAP_EQ_NIL_' 'isa/list.map_disc_iff'
2.68919048646 'hl/thm/real/REAL_EQ_SUB_RADD_' 'isa/eq_diff_eq\''#@#variant
2.68919048646 'hl/thm/lists/MAP_EQ_NIL_' 'isa/Nil_is_map_conv'
2.68919048646 'hl/thm/lists/APPEND_ASSOC_' 'isa/append_assoc'
2.66694936888 'hl/thm/Multivariate/transcendentals/SIN_PERIODIC_PI_' 'isa/sin_periodic_pi'#@#variant
2.66694936888 'hl/thm/Multivariate/transcendentals/COS_PERIODIC_PI_' 'isa/cos_periodic_pi'#@#variant
2.53777265217 'hl/thm/Multivariate/transcendentals/LOG_MONO_LT_'#@#variant 'isa/ln_less_cancel_iff'#@#variant
2.53777265217 'hl/thm/Multivariate/transcendentals/LOG_MONO_LE_'#@#variant 'isa/ln_le_cancel_iff'#@#variant
2.53777265217 'hl/thm/arith/MOD_1_'#@#variant 'isa/mod_1'#@#variant
2.42858100144 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant 'isa/less_zeroE'#@#variant
2.42858100144 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant 'isa/less_zeroE'#@#variant
2.42858100144 'hl/thm/arith/SUB_REFL_'#@#variant 'isa/diff_self_eq_0'#@#variant
2.42858100144 'hl/thm/arith/EQ_MULT_LCANCEL_'#@#variant 'isa/mult_cancel1'#@#variant
2.42858100144 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant 'isa/not_less0'#@#variant
2.42858100144 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant 'isa/not_less0'#@#variant
2.42858100144 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant 'isa/less_nat_zero_code'#@#variant
2.42858100144 'hl/thm/arith/EQ_MULT_LCANCEL_'#@#variant 'isa/nat_mult_eq_cancel_disj'#@#variant
2.42858100144 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant 'isa/less_nat_zero_code'#@#variant
2.41555029958 'hl/thm/lists/MAP_ID_' 'isa/list.map_ident'
2.41555029958 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_' 'isa/le_antisym'#@#variant
2.36386276122 'hl/thm/int/INT_SUB_LZERO_'#@#variant 'isa/minus_int_code_2'#@#variant
2.25039214713 'hl/thm/arith/ADD_CLAUSES_2' 'isa/plus_nat.simps_2'#@#variant
2.25039214713 'hl/thm/Library/analysis/LESS_SUC_REFL_' 'isa/lessI'#@#variant
2.22419577017 'hl/thm/arith/EQ_ADD_RCANCEL_' 'isa/nat_add_right_cancel'#@#variant
2.22419577017 'hl/thm/arith/EQ_ADD_LCANCEL_' 'isa/nat_add_left_cancel'#@#variant
2.16668894707 'hl/thm/int/INT_POW_LE_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_4'#@#variant
2.16668894707 'hl/thm/Multivariate/transcendentals/COS_PERIODIC_'#@#variant 'isa/cos_periodic'#@#variant
2.16668894707 'hl/thm/Multivariate/transcendentals/SIN_PERIODIC_'#@#variant 'isa/sin_periodic'#@#variant
2.16668894707 'hl/thm/Multivariate/transcendentals/TAN_PERIODIC_PI_' 'isa/tan_periodic_pi'#@#variant
2.16668894707 'hl/thm/int/INT_POW_LE_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_4'#@#variant
2.11894389269 'hl/thm/lists/REVERSE_0' 'isa/rev.simps_1'
2.11894389269 'hl/thm/lists/BUTLAST_0' 'isa/butlast.simps_1'
2.11894389269 'hl/thm/Library/integer/INT_PRIME_0_'#@#variant 'isa/less_int_code_1'#@#variant
2.10736755138 'hl/thm/Multivariate/complexes/CNJ_POW_'#@#variant 'isa/complex_cnj_power'#@#variant
2.08136898101 'hl/thm/Library/analysis/LESS_CASES_IMP_' 'isa/linorder_neqE_nat'#@#variant
2.08136898101 'hl/thm/arith/LT_REFL_' 'isa/less_not_refl'#@#variant
2.08136898101 'hl/thm/arith/LT_REFL_' 'isa/less_irrefl_nat'#@#variant
2.08136898101 'hl/thm/arith/LE_CASES_' 'isa/nat_le_linear'#@#variant
2.08136898101 'hl/thm/Library/analysis/LESS_LESS_CASES_' 'isa/linorder_neqE_nat'#@#variant
2.08136898101 'hl/thm/arith/LT_CASES_' 'isa/linorder_neqE_nat'#@#variant
2.08136898101 'hl/thm/Library/prime/LESS_LESS_CASES_' 'isa/linorder_neqE_nat'#@#variant
2.05559517358 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant 'isa/powr_mono'#@#variant
2.05559517358 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant 'isa/powr_less_mono'#@#variant
2.01689286485 'hl/thm/arith/ADD_SUC_' 'isa/add_Suc_right'#@#variant
1.97373573112 'hl/thm/Library/prime/DIVIDES_ONE_'#@#variant 'isa/dvd_1_iff_1'#@#variant
1.97373573112 'hl/thm/Library/prime/DIVIDES_ONE_'#@#variant 'isa/nat_dvd_1_iff_1'#@#variant
1.97373573112 'hl/thm/arith/LE_0'#@#variant 'isa/le_0_eq'#@#variant
1.97373573112 'hl/thm/Library/prime/DIVIDES_ONE_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.bot.extremum_unique'#@#variant
1.97373573112 'hl/thm/Library/prime/LESS_EQ_0_'#@#variant 'isa/le_0_eq'#@#variant
1.97373573112 'hl/thm/arith/MULT_EQ_0_'#@#variant 'isa/mult_is_0'#@#variant
1.97373573112 'hl/thm/arith/LE_ADDR_' 'isa/le_add2'#@#variant
1.93470421089 'hl/thm/arith/LT_ADD_LCANCEL_' 'isa/nat_add_left_cancel_less'#@#variant
1.93470421089 'hl/thm/arith/LE_ADD_LCANCEL_' 'isa/nat_add_left_cancel_le'#@#variant
1.93244023966 'hl/thm/Multivariate/complexes/CNJ_CX_'#@#variant 'isa/complex_cnj_complex_of_real'#@#variant
1.93244023966 'hl/thm/int/INT_ABS_NUM_' 'isa/abs_int_eq'#@#variant
1.87966348598 'hl/thm/Multivariate/complexes/CNJ_CNJ_'#@#variant 'isa/complex_cnj_cnj'
1.87966348598 'hl/thm/arith/EQ_IMP_LE_' 'isa/eq_imp_le'#@#variant
1.86666026881 'hl/thm/Library/analysis/SUB_LESS_EQ_' 'isa/diff_le_self'#@#variant
1.86666026881 'hl/thm/Multivariate/transcendentals/PI_NZ_'#@#variant 'isa/pi_neq_zero'#@#variant
1.8091030762 'hl/thm/arith/LE_0_'#@#variant 'isa/le0'#@#variant
1.8091030762 'hl/thm/Library/prime/DIVIDES_1_'#@#variant 'isa/dvd_1_left'#@#variant
1.8091030762 'hl/thm/Library/prime/DIVIDES_1_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.bot.extremum'#@#variant
1.8091030762 'hl/thm/arith/LE_0_'#@#variant 'isa/less_eq_nat.simps_1'#@#variant
1.76981815567 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant 'isa/powr_le_cancel_iff'#@#variant
1.76981815567 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant 'isa/real_mult_le_cancel_iff2'#@#variant
1.76981815567 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant 'isa/powr_less_cancel_iff'#@#variant
1.76981815567 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant 'isa/real_mult_le_cancel_iff2'#@#variant
1.75957196119 'hl/thm/arith/MULT_EQ_1_'#@#variant 'isa/one_eq_mult_iff'#@#variant
1.75957196119 'hl/thm/arith/ADD_EQ_0_'#@#variant 'isa/add_is_0'#@#variant
1.75957196119 'hl/thm/arith/MULT_EQ_1_'#@#variant 'isa/nat_1_eq_mult_iff'#@#variant
1.75957196119 'hl/thm/arith/MULT_EQ_1_'#@#variant 'isa/nat_mult_eq_1_iff'#@#variant
1.75957196119 'hl/thm/arith/MULT_EQ_1_'#@#variant 'isa/mult_eq_1_iff'#@#variant
1.74926999555 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant 'isa/ln_ge_zero'#@#variant
1.74926999555 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant 'isa/ln_gt_zero'#@#variant
1.74926999555 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant 'isa/exp_gt_one'#@#variant
1.71634398974 'hl/thm/Multivariate/transcendentals/ATN_TAN_' 'isa/tan_arctan'#@#variant
1.71634398974 'hl/thm/Multivariate/transcendentals/ATN_TAN_' 'isa/arctan/2'#@#variant
1.71634398974 'hl/thm/Multivariate/transcendentals/LOG_EXP_' 'isa/ln_exp'#@#variant
1.69669029093 'hl/thm/arith/LE_ADD_' 'isa/le_add1'#@#variant
1.68124968637 'hl/thm/Multivariate/transcendentals/SIN_POS_PI2_'#@#variant 'isa/sin_gt_zero2'#@#variant
1.68124968637 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_'#@#variant 'isa/sin_gt_zero'#@#variant
1.68124968637 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_LE_'#@#variant 'isa/sin_ge_zero'#@#variant
1.68124968637 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_LE_'#@#variant 'isa/tan_pos_pi2_le'#@#variant
1.68124968637 'hl/thm/Multivariate/transcendentals/COS_POS_PI2_'#@#variant 'isa/cos_gt_zero'#@#variant
1.68124968637 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_'#@#variant 'isa/tan_gt_zero'#@#variant
1.65650323851 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/1'#@#variant 'isa/arctan_ubound'#@#variant
1.65650323851 'hl/thm/Multivariate/transcendentals/SIN_BOUNDS_/1'#@#variant 'isa/sin_le_one'#@#variant
1.65650323851 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/1'#@#variant 'isa/arctan/1'#@#variant
1.65650323851 'hl/thm/Multivariate/transcendentals/COS_BOUNDS_/1'#@#variant 'isa/cos_le_one'#@#variant
1.65650323851 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/1'#@#variant 'isa/arctan_bounded/1'#@#variant
1.60438576625 'hl/thm/int/INT_POS_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_9'#@#variant
1.60438576625 'hl/thm/int/INT_POS_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_9'#@#variant
1.60438576625 'hl/thm/int/INT_POS_'#@#variant 'isa/zero_zle_int'#@#variant
1.56601598821 'hl/thm/real/REAL_SGN_INEQS_5'#@#variant 'isa/sgn_le_0_iff'#@#variant
1.53728713644 'hl/thm/Library/prime/DIVIDES_SUB_' 'isa/dvd_diff_nat'#@#variant
1.42208751287 'hl/thm/int/INT_OF_NUM_LT_' 'isa/transfer_int_nat_relations_2'#@#variant
1.42208751287 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant 'isa/less_eq_natural.abs_eq'#@#variant
1.42208751287 'hl/thm/int/INT_OF_NUM_LE_' 'isa/zle_int'#@#variant
1.42208751287 'hl/thm/int/INT_OF_NUM_LT_' 'isa/zless_int'#@#variant
1.42208751287 'hl/thm/int/INT_OF_NUM_LE_' 'isa/transfer_int_nat_relations_3'#@#variant
1.41525423621 'hl/thm/Library/prime/LESS_MONO_ADD_' 'isa/add_less_mono1'#@#variant
1.41525423621 'hl/thm/Library/analysis/LESS_MONO_ADD_' 'isa/add_less_mono1'#@#variant
1.33490455055 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/real_inverse_code'#@#variant
1.33490455055 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/cnj.sel_2'#@#variant
1.31640308651 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/Re_complex_of_real'#@#variant
1.31640308651 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/nat_int'#@#variant
1.31319761828 'hl/thm/trivia/I_DEF_' 'isa/id_apply'
1.31319761828 'hl/thm/trivia/I_DEF_' 'isa/id_def'
1.2992402043 'hl/thm/arith/LEFT_SUB_DISTRIB_' 'isa/nat_distrib_4'#@#variant
1.2992402043 'hl/thm/int/INT_ADD_LDISTRIB_' 'isa/int_distrib_2'#@#variant
1.2992402043 'hl/thm/int/INT_SUB_LDISTRIB_' 'isa/int_distrib_4'#@#variant
1.2992402043 'hl/thm/arith/LEFT_ADD_DISTRIB_' 'isa/nat_distrib_2'#@#variant
1.28354100159 'hl/thm/Multivariate/vectors/SQRT_POS_LE_'#@#variant 'isa/real_sqrt_ge_zero'#@#variant
1.28354100159 'hl/thm/Multivariate/vectors/SQRT_POS_LT_'#@#variant 'isa/real_sqrt_gt_zero'#@#variant
1.27979886701 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_' 'isa/arctan_monotone'#@#variant
1.27979886701 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_' 'isa/exp_less_mono'#@#variant
1.27979886701 'hl/thm/int/INT_MUL_RZERO_'#@#variant 'isa/times_int_code_1'#@#variant
1.27979886701 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_' 'isa/real_sqrt_less_mono'#@#variant
1.27979886701 'hl/thm/Library/pocklington/ORDER_1_'#@#variant 'isa/gcd_Suc_0'#@#variant
1.27979886701 'hl/thm/Library/pocklington/ORDER_1_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_right'#@#variant
1.27979886701 'hl/thm/arith/FACT_MONO_' 'isa/fact_mono_nat'#@#variant
1.27979886701 'hl/thm/arith/MULT_0_'#@#variant 'isa/mult_0_right'#@#variant
1.27979886701 'hl/thm/Library/pocklington/ORDER_1_'#@#variant 'isa/gcd_1_nat'#@#variant
1.27979886701 'hl/thm/Library/prime/INDEX_0_'#@#variant 'isa/lcm_0_nat'#@#variant
1.27979886701 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_' 'isa/real_sqrt_le_mono'#@#variant
1.27979886701 'hl/thm/Library/prime/INDEX_0_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_right'#@#variant
1.25215617126 'hl/thm/Multivariate/transcendentals/REAL_EXP_POS_LE_'#@#variant 'isa/exp_ge_zero'#@#variant
1.25215617126 'hl/thm/Multivariate/transcendentals/COS_BOUNDS_/0'#@#variant 'isa/cos_ge_minus_one'#@#variant
1.25215617126 'hl/thm/Multivariate/transcendentals/REAL_EXP_POS_LT_'#@#variant 'isa/exp_gt_zero'#@#variant
1.25215617126 'hl/thm/arith/LT_0_'#@#variant 'isa/zero_less_Suc'#@#variant
1.25215617126 'hl/thm/Multivariate/transcendentals/SIN_BOUNDS_/0'#@#variant 'isa/sin_ge_minus_one'#@#variant
1.24037992637 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/ii.sel_1'#@#variant
1.24037992637 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/ii.sel_2'#@#variant
1.24037992637 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/sin_coeff_0'#@#variant
1.24037992637 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/zero_real_code'#@#variant
1.24037992637 'hl/thm/nums/ZERO_DEF_' 'isa/nat_of_nibble.simps_4'#@#variant
1.23668197125 'hl/thm/arith/ADD_CLAUSES_0'#@#variant 'isa/plus_nat.simps_1'#@#variant
1.23668197125 'hl/thm/arith/LT_ADD2_' 'isa/add_less_mono'#@#variant
1.23668197125 'hl/thm/nums/NOT_SUC_'#@#variant 'isa/old.nat.simps_3'#@#variant
1.23668197125 'hl/thm/nums/NOT_SUC_'#@#variant 'isa/Zero_not_Suc'#@#variant
1.23668197125 'hl/thm/nums/NOT_SUC_'#@#variant 'isa/Zero_neq_Suc'#@#variant
1.23668197125 'hl/thm/arith/LE_MULT2_' 'isa/mult_le_mono'#@#variant
1.23668197125 'hl/thm/int/INT_ADD_LID_'#@#variant 'isa/plus_int_code_2'#@#variant
1.23668197125 'hl/thm/arith/LE_ADD2_' 'isa/add_le_mono'#@#variant
1.23668197125 'hl/thm/arith/MULT_CLAUSES_2'#@#variant 'isa/nat_mult_1'#@#variant
1.23668197125 'hl/thm/nums/NOT_SUC_'#@#variant 'isa/nat.simps_3'#@#variant
1.23668197125 'hl/thm/nums/NOT_SUC_'#@#variant 'isa/Suc_neq_Zero'#@#variant
1.23668197125 'hl/thm/Multivariate/vectors/SQRT_EQ_0_'#@#variant 'isa/real_sqrt_eq_0_iff'#@#variant
1.23668197125 'hl/thm/nums/NOT_SUC_'#@#variant 'isa/old.nat.simps_2'#@#variant
1.21964101971 'hl/thm/realax/HREAL_OF_NUM_EQ_' 'isa/Rep_Nat_inject'
1.21964101971 'hl/thm/int/INT_OF_NUM_EQ_' 'isa/int_int_eq'#@#variant
1.21964101971 'hl/thm/int/INT_OF_NUM_EQ_' 'isa/transfer_int_nat_relations_1'#@#variant
1.20909130427 'hl/thm/arith/MULT_0'#@#variant 'isa/times_nat.simps_1'#@#variant
1.20909130427 'hl/thm/arith/EXP_ONE_'#@#variant 'isa/power_Suc_0'#@#variant
1.20909130427 'hl/thm/int/INT_MUL_LZERO_'#@#variant 'isa/times_int_code_2'#@#variant
1.20909130427 'hl/thm/arith/SUB_0_/0'#@#variant 'isa/diff_0_eq_0'#@#variant
1.20909130427 'hl/thm/Library/analysis/SUB_OLD_0'#@#variant 'isa/diff_0_eq_0'#@#variant
1.18966870955 'hl/thm/arith/RIGHT_ADD_DISTRIB_' 'isa/nat_distrib_1'#@#variant
1.18966870955 'hl/thm/arith/RIGHT_SUB_DISTRIB_' 'isa/nat_distrib_3'#@#variant
1.18966870955 'hl/thm/int/INT_ADD_RDISTRIB_' 'isa/int_distrib_1'#@#variant
1.18966870955 'hl/thm/int/INT_SUB_RDISTRIB_' 'isa/int_distrib_3'#@#variant
1.16547761695 'hl/thm/Library/prime/DIVIDES_REFL_' 'isa/dvd.order_refl'#@#variant
1.16547761695 'hl/thm/arith/LE_REFL_' 'isa/le_refl'#@#variant
1.16547761695 'hl/thm/Library/prime/DIVIDES_REFL_' 'isa/dvd.order.refl'#@#variant
1.11308666435 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant 'isa/complex_cnj_inverse'#@#variant
1.11308666435 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant 'isa/complex_cnj_minus'#@#variant
1.11308666435 'hl/thm/Multivariate/transcendentals/ATN_NEG_' 'isa/arctan_minus'#@#variant
1.11308666435 'hl/thm/Multivariate/vectors/SQRT_INV_' 'isa/real_sqrt_inverse'#@#variant
1.11308666435 'hl/thm/Multivariate/vectors/SQRT_NEG_' 'isa/real_sqrt_minus'#@#variant
1.10736116099 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant 'isa/real_sqrt_gt_0_iff'#@#variant
1.10736116099 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant 'isa/zero_less_arctan_iff'#@#variant
1.10736116099 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant 'isa/real_sqrt_ge_0_iff'#@#variant
1.10736116099 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant 'isa/zero_le_arctan_iff'#@#variant
1.10736116099 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant 'isa/zero_le_sgn_iff'#@#variant
1.10457470419 'hl/thm/Multivariate/transcendentals/PI_POS_'#@#variant 'isa/pi_gt_zero'#@#variant
1.10457470419 'hl/thm/int/INT_LE_01_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_6'#@#variant
1.10457470419 'hl/thm/int/INT_LE_01_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_6'#@#variant
1.10457470419 'hl/thm/Multivariate/transcendentals/PI_POS_LE_'#@#variant 'isa/pi_ge_zero'#@#variant
1.10457470419 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_0'#@#variant 'isa/pi_half_gt_zero'#@#variant
1.07561038734 'hl/thm/arith/TWO_'#@#variant 'isa/numerals_2'#@#variant
1.07561038734 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/arcsin_minus_1'#@#variant
1.07561038734 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/cos_pi_half'#@#variant
1.07561038734 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/arcsin_1'#@#variant
1.07561038734 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/arccos_1'#@#variant
1.07561038734 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/arccos_minus_1'#@#variant
1.07561038734 'hl/thm/arith/TWO_'#@#variant 'isa/Suc_1'#@#variant
1.07561038734 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/tan_pi'#@#variant
1.07561038734 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/sin_pi'#@#variant
1.07561038734 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/arccos_0'#@#variant
1.07561038734 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/sin_pi_half'#@#variant
1.07561038734 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/cos_pi'#@#variant
1.04869013676 'hl/thm/arith/LE_TRANS_' 'isa/le_trans'#@#variant
1.04869013676 'hl/thm/Library/prime/DIVIDES_TRANS_' 'isa/dvd.order.trans'#@#variant
1.04869013676 'hl/thm/Library/prime/DIVIDES_TRANS_' 'isa/dvd.order_trans'#@#variant
1.04869013676 'hl/thm/Library/prime/DIVIDES_TRANS_' 'isa/dvd.dual_order.trans'#@#variant
1.01649735334 'hl/thm/Multivariate/complexes/CNJ_DIV_'#@#variant 'isa/complex_cnj_divide'#@#variant
1.01649735334 'hl/thm/Multivariate/vectors/SQRT_MUL_' 'isa/real_sqrt_mult'#@#variant
1.01649735334 'hl/thm/Multivariate/vectors/SQRT_DIV_' 'isa/real_sqrt_divide'#@#variant
1.01649735334 'hl/thm/Multivariate/complexes/CNJ_MUL_'#@#variant 'isa/complex_cnj_mult'#@#variant
0.986266640693 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LT_' 'isa/exp_less_cancel_iff'#@#variant
0.986266640693 'hl/thm/Multivariate/transcendentals/ATN_MONO_LE_EQ_' 'isa/arctan_le_iff'#@#variant
0.986266640693 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_EQ_' 'isa/real_sqrt_less_iff'#@#variant
0.986266640693 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_EQ_' 'isa/real_sqrt_le_iff'#@#variant
0.986266640693 'hl/thm/arith/LT_SUC_' 'isa/Suc_less_eq'#@#variant
0.986266640693 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LE_' 'isa/exp_le_cancel_iff'#@#variant
0.986266640693 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_EQ_' 'isa/arctan_less_iff'#@#variant
0.986266640693 'hl/thm/arith/LE_SUC_' 'isa/Suc_le_mono'#@#variant
0.985668213795 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/minus_int_code_1'#@#variant
0.985668213795 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/plus_int_code_1'#@#variant
0.985668213795 'hl/thm/arith/DIV_1_'#@#variant 'isa/binomial_1'#@#variant
0.985668213795 'hl/thm/arith/ADD_0_'#@#variant 'isa/Nat.add_0_right'#@#variant
0.985668213795 'hl/thm/arith/SUB_0'#@#variant 'isa/minus_nat.simps_1'#@#variant
0.985668213795 'hl/thm/arith/DIV_1_'#@#variant 'isa/choose_one'#@#variant
0.985668213795 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/nat_mult_1_right'#@#variant
0.985668213795 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/minus_nat.simps_1'#@#variant
0.971654169469 'hl/thm/int/INT_MIN_ACI_2' 'isa/lcm_ac_int_3'#@#variant
0.971654169469 'hl/thm/int/INT_MAX_ACI_2' 'isa/gcd_ac_int_3'#@#variant
0.950485804072 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/Real.positive_mult'#@#variant
0.950485804072 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0.950485804072 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0.950485804072 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/Real.positive_add'#@#variant
0.950485804072 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0.950485804072 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0.888288820482 'hl/thm/Multivariate/misc/SQRT_1_'#@#variant 'isa/real_sqrt_one'#@#variant
0.888288820482 'hl/thm/int/INT_NEG_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0.888288820482 'hl/thm/Multivariate/misc/SQRT_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0.888288820482 'hl/thm/int/INT_SGN_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0.888288820482 'hl/thm/Multivariate/transcendentals/ASN_0_'#@#variant 'isa/arcsin_0'#@#variant
0.888288820482 'hl/thm/Multivariate/transcendentals/ATN_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0.831683236191 'hl/thm/int/INT_MIN_ASSOC_' 'isa/lcm_ac_int_1'#@#variant
0.831683236191 'hl/thm/int/INT_MAX_ACI_1' 'isa/gcd_ac_int_1'#@#variant
0.831683236191 'hl/thm/int/INT_MIN_ACI_1' 'isa/lcm_ac_int_1'#@#variant
0.831683236191 'hl/thm/int/INT_MAX_ASSOC_' 'isa/gcd_ac_int_1'#@#variant
0.812347169032 'hl/thm/nums/SUC_INJ_' 'isa/old.nat.inject'
0.812347169032 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_' 'isa/exp_inj_iff'#@#variant
0.812347169032 'hl/thm/nums/SUC_INJ_' 'isa/nat.simps_1'
0.812347169032 'hl/thm/Multivariate/vectors/SQRT_INJ_' 'isa/real_sqrt_eq_iff'
0.812347169032 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant 'isa/complex_cnj_cancel_iff'
0.812347169032 'hl/thm/Multivariate/transcendentals/ATN_INJ_' 'isa/arctan_eq_iff'
0. 'hl/thm/Library/rstc/SC_RULES_/0' 'isa/tranclp.intros_1'
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LE_' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/arith/RIGHT_SUB_DISTRIB_' 'isa/nat_add_max_left'#@#variant
0. 'hl/thm/calc_num/ARITH_104' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/int/INT_LT_REFL_' 'isa/less_not_refl'#@#variant
0. 'hl/thm/real/REAL_LT_01_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_5'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_ADD_' 'isa/gcd_greatest_nat'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_13'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_3' 'isa/gcd_nat.idem'#@#variant
0. 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant 'isa/quotient_of_inject_eq'#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/abs_integer.rep_eq'#@#variant
0. 'hl/thm/Library/transc/SQRT_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/nums/NUM_REP_RULES_1' 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GE_' 'isa/less_integer.abs_eq'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_LT_' 'isa/real_less_code'#@#variant
0. 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant 'isa/ln_gt_zero'#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/Int.dup_code_2'
0. 'hl/thm/Library/integer/INT_PRIME_2_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_7'#@#variant
0. 'hl/thm/Library/transc/TAN_NPI_'#@#variant 'isa/cot_npi'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/integer_of_nat_1'#@#variant
0. 'hl/thm/real/REAL_LT_MIN_' 'isa/gcd_nat.bounded_iff'#@#variant
0. 'hl/thm/nums/NOT_SUC_'#@#variant 'isa/natural.simps_2'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_DIV_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/Library/analysis/SUB_LESS_EQ_' 'isa/div_le_dividend'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_SUB_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_18'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_SUB_' 'isa/gcd_nat.boundedI'#@#variant
0. 'hl/thm/arith/MULT_0_'#@#variant 'isa/gcd_Suc_0'#@#variant
0. 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/choose_one'#@#variant
0. 'hl/thm/real/REAL_INV_1_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/int/INT_MAX_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_23'#@#variant
0. 'hl/thm/Multivariate/vectors/VECTOR_MUL_ASSOC_'#@#variant 'isa/rotate_rotate'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ABS_PI_' 'isa/csqrt_0'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/one_integer_def'#@#variant
0. 'hl/thm/int/INT_ADD_LDISTRIB_' 'isa/nat_add_max_right'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant 'isa/Suc_Rep_not_Zero_Rep'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI_'#@#variant 'isa/sin_gt_zero'#@#variant
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant 'isa/transfer_int_nat_relations_1'#@#variant
0. 'hl/thm/arith/FACT_MONO_' 'isa/real_sqrt_less_mono'#@#variant
0. 'hl/thm/nums/IND_SUC_0_' 'isa/rel_simps_19'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant 'isa/plus_integer_code_2'#@#variant
0. 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant 'isa/arctan_monotone'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_NZ_'#@#variant 'isa/complex_i_not_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_17'#@#variant
0. 'hl/thm/Library/rstc/STC_INC_TC_' 'isa/tranclp_into_rtranclp'
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_'#@#variant 'isa/sin_ge_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_NEG_' 'isa/BitM.simps_2'
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/natural_of_integer_of_natural'
0. 'hl/thm/Library/transc/ATN_1_'#@#variant 'isa/i_squared'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/uminus_integer.abs_eq'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_MUL2_' 'isa/lcm_semilattice_nat.sup.mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant 'isa/num.simps_4'
0. 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_7'#@#variant
0. 'hl/thm/Library/floor/FLOOR_/0' 'isa/exp_gt_zero'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_right'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_26'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_MUL_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/arith/MOD_1_'#@#variant 'isa/binomial_n_0'#@#variant
0. 'hl/thm/realax/HREAL_INV_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/int/INT_LT_01_'#@#variant 'isa/pi_half_ge_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_EQ_' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/real/REAL_SGN_MUL_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/real/REAL_ABS_MUL_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/plus_int_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_SIN_'#@#variant 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_3'#@#variant
0. 'hl/thm/realax/HREAL_ADD_ASSOC_' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ABS_PI_' 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/int/INT_LE_01_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_5'#@#variant
0. 'hl/thm/real/REAL_MIN_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/Library/transc/SQRT_POS_LE_'#@#variant 'isa/Nat.intros_2'
0. 'hl/thm/realax/REAL_ADD_LDISTRIB_' 'isa/nat_distrib_4'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_ASSOC_' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/real/REAL_ABS_POS_'#@#variant 'isa/sin_ge_minus_one'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/ii.sel_1'#@#variant
0. 'hl/thm/Library/pratt/PHI_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/arith/ADD_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_7'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/cis_zero'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_INJ_' 'isa/nat.simps_1'
0. 'hl/thm/lists/ALL_MP_' 'isa/eventually_rev_mp'
0. 'hl/thm/Library/rstc/RSTC_INC_' 'isa/tranclp.intros_1'
0. 'hl/thm/Library/transc/REAL_EXP_INJ_' 'isa/rel_simps_20'
0. 'hl/thm/Multivariate/transcendentals/ATN_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/one_natural_def'#@#variant
0. 'hl/thm/int/INT_EQ_NEG2_' 'isa/real_sqrt_eq_iff'
0. 'hl/thm/real/REAL_ABS_INV_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/arith/ADD_EQ_0_'#@#variant 'isa/one_eq_mult_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nat_of_nibble.simps_4'#@#variant
0. 'hl/thm/calc_int/REAL_EQ_ADD_RCANCEL_' 'isa/nat_add_right_cancel'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_NPI_'#@#variant 'isa/tan_npi'#@#variant
0. 'hl/thm/int/INT_LE_SUB_RADD_' 'isa/less_diff_conv'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/sgn_integer.abs_eq'#@#variant
0. 'hl/thm/int/INT_NEG_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_29'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/nums/IND_SUC_INJ_' 'isa/nat.simps_1'
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_BOUNDS_/1'#@#variant 'isa/arctan/1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LDISTRIB_' 'isa/int_distrib_2'#@#variant
0. 'hl/thm/realax/REAL_INV_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/realax/NADD_MUL_WELLDEF_' 'isa/add_le_mono'#@#variant
0. 'hl/thm/int/INT_EQ_NEG2_' 'isa/natural.simps_1'
0. 'hl/thm/int/INT_OF_NUM_SUC_'#@#variant 'isa/num.size_2'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/uminus_integer.abs_eq'#@#variant
0. 'hl/thm/calc_num/ARITH_97' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/real/REAL_LT_RMUL_EQ_'#@#variant 'isa/real_mult_le_cancel_iff1'#@#variant
0. 'hl/thm/calc_num/ARITH_94' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/realax/HREAL_INV_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/real/REAL_SGN_DIV_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/calc_num/ARITH_97' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/cis_inverse'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/nat_of_num_inverse'
0. 'hl/thm/realax/NADD_LE_REFL_' 'isa/dvd.order_refl'#@#variant
0. 'hl/thm/calc_num/ARITH_94' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/nat_of_num_inc'
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_15'#@#variant
0. 'hl/thm/nums/IND_SUC_0_' 'isa/rel_simps_17'
0. 'hl/thm/int/INT_ABS_LE_' 'isa/lessI'#@#variant
0. 'hl/thm/real/REAL_SGN_MUL_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Library/pocklington/PHI_EQ_0_'#@#variant 'isa/real_sqrt_eq_0_iff'#@#variant
0. 'hl/thm/int/INT_SGN_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/int/INT_ABS_1_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/realax/NADD_MUL_WELLDEF_' 'isa/lcm_semilattice_nat.sup_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant 'isa/zero_zle_int'#@#variant
0. 'hl/thm/calc_num/ARITH_7' 'isa/BitM.simps_1'
0. 'hl/thm/Multivariate/transcendentals/TAN_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/realax/HREAL_EQ_ADD_LCANCEL_' 'isa/nat_add_left_cancel'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_RMUL_' 'isa/trans_less_add1'#@#variant
0. 'hl/thm/arith/SUB_1' 'isa/pow.simps_2'
0. 'hl/thm/calc_num/ARITH_88' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_1' 'isa/BitM.simps_1'
0. 'hl/thm/Library/rstc/STC_IDEMP_' 'isa/rtranclp_idemp'
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/Int.dup_code_2'
0. 'hl/thm/calc_num/ARITH_87' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant 'isa/times_int_code_1'#@#variant
0. 'hl/thm/int/int_of_num_' 'isa/int_of_integer_numeral'#@#variant
0. 'hl/thm/Library/pratt/PHI_1_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_84' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_SUB_' 'isa/real_of_int_div'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nat_of_nibble.simps_2'#@#variant
0. 'hl/thm/calc_num/ARITH_88' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/calc_num/ARITH_87' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LDISTRIB_' 'isa/int_distrib_2'#@#variant
0. 'hl/thm/lists/MEM_FILTER_' 'isa/member_filter'
0. 'hl/thm/calc_num/ARITH_84' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/Library/prime/PRIME_2_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_6'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_4'#@#variant 'isa/arctan_eq_zero_iff'#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/Code_Numeral.dup_code_3'
0. 'hl/thm/realax/TREAL_LE_TOTAL_'#@#variant 'isa/nat_le_linear'#@#variant
0. 'hl/thm/Library/floor/FLOOR_MONO_' 'isa/arctan_monotone'#@#variant
0. 'hl/thm/int/INT_ABS_MUL_' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_1'#@#variant
0. 'hl/thm/real/REAL_LE_01_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_5'#@#variant
0. 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Library/transc/SIN_NEG_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI2_'#@#variant 'isa/sin_ge_zero'#@#variant
0. 'hl/thm/realax/NADD_INV_0_'#@#variant 'isa/sqrt2_less_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nat_of_num_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_78' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/real/REAL_MIN_MIN_/0' 'isa/Divides.mod_less_eq_dividend'#@#variant
0. 'hl/thm/calc_num/ARITH_77' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/Library/floor/INTEGER_NEG_' 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/one_complex.sel_1'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/nat_of_natural_of_nat'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_1'#@#variant 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_74' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/Library/pocklington/PHI_1_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/int/int_gt_' 'isa/real_less_eq_code'#@#variant
0. 'hl/thm/Library/transc/PI_POS_'#@#variant 'isa/Nat.intros_1'
0. 'hl/thm/Library/poly/POLYDIFF_ADD_'#@#variant 'isa/arith_simps_5'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/calc_num/ARITH_78' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/calc_num/ARITH_77' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GT_' 'isa/transfer_int_nat_relations_3'#@#variant
0. 'hl/thm/int/INT_LT_01_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_6'#@#variant
0. 'hl/thm/arith/LT_ADD2_' 'isa/gcd_nat.mono'#@#variant
0. 'hl/thm/calc_num/ARITH_74' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/realax/HREAL_LE_TRANS_' 'isa/le_trans'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/uminus_integer.rep_eq'#@#variant
0. 'hl/thm/lists/APPEND_NIL_' 'isa/splice_Nil2'
0. 'hl/thm/arith/SUB_0'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/int/INT_ADD_SUB_' 'isa/diff_add_inverse'#@#variant
0. 'hl/thm/Library/transc/TAN_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/realax/HREAL_LE_ADD_' 'isa/le_add1'#@#variant
0. 'hl/thm/int/int_of_num_th_' 'isa/complex_Re_numeral'#@#variant
0. 'hl/thm/calc_num/ARITH_68' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_67' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/int/int_of_num_th_' 'isa/integer_of_num.rep_eq'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/numerals_1'#@#variant
0. 'hl/thm/calc_num/ARITH_64' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/int/int_max_' 'isa/nat_int_add'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_MUL_R_' 'isa/mult_le_mono1'#@#variant
0. 'hl/thm/int/INT_LT_IMP_LE_' 'isa/le_simps_1'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_'#@#variant 'isa/tan_pos_pi2_le'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_31'#@#variant
0. 'hl/thm/arith/DIV_1_'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/Library/prime/EXP_EXP_' 'isa/powr_powr'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_MUL_' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/calc_num/ARITH_68' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/calc_num/ARITH_67' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/real/REAL_MAX_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/calc_num/ARITH_64' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant 'isa/sin_x_le_x'#@#variant
0. 'hl/thm/Multivariate/complexes/CSQRT_CX_'#@#variant 'isa/Suc_nat_eq_nat_zadd1'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/int_of_integer_inverse'
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/arith/LT_MULT2_' 'isa/add_le_mono'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/real/REAL_SUB_REFL_'#@#variant 'isa/diff_self_eq_0'#@#variant
0. 'hl/thm/int/num_divides_' 'isa/less_eq_natural.abs_eq'#@#variant
0. 'hl/thm/real/REAL_MAX_MAX_/1' 'isa/lcm_dvd2_int'#@#variant
0. 'hl/thm/Multivariate/vectors/VECTOR_NEG_NEG_'#@#variant 'isa/rev_rev_ident'
0. 'hl/thm/int/int_neg_th_' 'isa/abs_integer.rep_eq'#@#variant
0. 'hl/thm/calc_int/REAL_ABS_NUM_' 'isa/abs_int_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/minus_int_code_1'#@#variant
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/norm_ii'#@#variant
0. 'hl/thm/calc_num/ARITH_58' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/binomial_1'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/nat_of_integer_of_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant 'isa/nat_of_num_pos'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/Int.dup_code_2'
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/int/int_lt_' 'isa/less_eq_integer_code_5'#@#variant
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/Library/transc/SIN_NEG_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LE_' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LDISTRIB_' 'isa/nat_mult_max_right'#@#variant
0. 'hl/thm/calc_num/ARITH_58' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_LE_' 'isa/real_less_code'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/Suc.abs_eq'
0. 'hl/thm/int/INT_SGN_INEQS_7'#@#variant 'isa/sgn_le_0_iff'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_RMUL_' 'isa/dvd_lcm_I1_int'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_EQ_' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_' 'isa/exp_less_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/uminus_complex.sel_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/nat_of_num_inc'
0. 'hl/thm/Multivariate/transcendentals/ATN_INJ_' 'isa/rel_simps_20'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RDISTRIB_' 'isa/gcd_exp_nat'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_POS_LE_'#@#variant 'isa/exp_ge_zero'#@#variant
0. 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant 'isa/transfer_int_nat_relations_3'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_GT_0_'#@#variant 'isa/Im_complex_div_gt_0'#@#variant
0. 'hl/thm/Library/pratt/PHI_1_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/real/REAL_ABS_DIV_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/real/REAL_EQ_MUL_LCANCEL_'#@#variant 'isa/mult_cancel1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/real_uminus_code'#@#variant
0. 'hl/thm/real/REAL_ABS_1_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/nat_of_natural_inverse'
0. 'hl/thm/arith/BIT1_' 'isa/real_sqrt_abs2'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_NEG_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_ATN_'#@#variant 'isa/arcsin_sin'#@#variant
0. 'hl/thm/realax/REAL_ADD_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/numerals_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_0_'#@#variant 'isa/arctan_eq_zero_iff'#@#variant
0. 'hl/thm/int/INT_ADD_RDISTRIB_' 'isa/nat_mult_min_left'#@#variant
0. 'hl/thm/realax/NADD_OF_NUM_LE_' 'isa/less_eq_int_code_5'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_MUL_LCANCEL_'#@#variant 'isa/nat_mult_eq_cancel_disj'#@#variant
0. 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant 'isa/add_le_mono1'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INJ_' 'isa/int_int_eq'#@#variant
0. 'hl/thm/Library/transc/SIN_BOUNDS_/0'#@#variant 'isa/cos_ge_minus_one'#@#variant
0. 'hl/thm/arith/MULT_EQ_1_'#@#variant 'isa/gcd_zero_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LDISTRIB_' 'isa/nat_mult_max_right'#@#variant
0. 'hl/thm/int/INT_LT_TRANS_' 'isa/dvd.dual_order.trans'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/real_uminus_code'#@#variant
0. 'hl/thm/arith/TWO_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/int/INT_ABS_1_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/arith/MOD_LT_' 'isa/gcd_proj1_if_dvd_nat'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_ASSOC_' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/int_Suc'#@#variant
0. 'hl/thm/Library/transc/ATN_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/realax/REAL_INV_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GE_' 'isa/less_integer_code_5'#@#variant
0. 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant 'isa/lcm_0_int'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/real/REAL_MIN_MIN_/0' 'isa/gcd_dvd1_int'#@#variant
0. 'hl/thm/realax/TREAL_LE_TRANS_'#@#variant 'isa/dvd.order.trans'#@#variant
0. 'hl/thm/real/REAL_LE_MIN_' 'isa/gcd_greatest_iff_nat'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_3'#@#variant
0. 'hl/thm/Library/transc/SIN_NEG_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_32'#@#variant
0. 'hl/thm/Library/transc/PI2_PI4_'#@#variant 'isa/tan_45'#@#variant
0. 'hl/thm/Library/rstc/RSTC_INC_TC_' 'isa/tranclp_into_rtranclp'
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/int/INT_LE_MIN_' 'isa/gcd_greatest_iff_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/natural_of_integer_of_natural'
0. 'hl/thm/real/REAL_LE_RMUL_EQ_'#@#variant 'isa/real_mult_less_iff1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble_of_nat_simps_3'#@#variant
0. 'hl/thm/int/INT_MUL_LZERO_'#@#variant 'isa/lcm_0_left_int'#@#variant
0. 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant 'isa/exp_gt_one'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Library/rstc/RSTC_REFL_' 'isa/rtranclp.intros_1'
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/nat_of_natural_inverse'
0. 'hl/thm/realax/TREAL_EQ_AP_'#@#variant 'isa/eq_imp_le'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/arith/FACT_NZ_'#@#variant 'isa/old.nat.simps_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/Int.dup_code_2'
0. 'hl/thm/Complex/complexnumbers/CNJ_DIV_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/real/REAL_ABS_DIV_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/int/INT_EQ_NEG2_' 'isa/Suc_Rep_inject\''
0. 'hl/thm/real/REAL_LE_RMUL_'#@#variant 'isa/mult_less_mono1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_LCANCEL_' 'isa/nat_add_left_cancel'#@#variant
0. 'hl/thm/Complex/complex_transc/COMPLEX_NORM_GE_RE_IM_/1' 'isa/abs_Re_le_cmod'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_LE_'#@#variant 'isa/cot_gt_zero'#@#variant
0. 'hl/thm/int/INT_MUL_RZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_right'#@#variant
0. 'hl/thm/Complex/complex_transc/COMPLEX_NORM_GE_RE_IM_/0' 'isa/abs_Re_le_cmod'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_POS_LE_'#@#variant 'isa/cos_ge_minus_one'#@#variant
0. 'hl/thm/int/INT_ABS_1_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/Library/floor/FLOOR_FRAC_/1'#@#variant 'isa/sin_ge_minus_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_NPI_'#@#variant 'isa/sin_npi'#@#variant
0. 'hl/thm/Library/transc/ATN_NEG_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_EQ_' 'isa/Rep_rat_inject'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_SUB_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant 'isa/real_mult_le_cancel_iff2'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_7'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/uminus_complex.sel_2'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_INV_' 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INJ_' 'isa/quotient_of_inject_eq'#@#variant
0. 'hl/thm/realax/HREAL_ADD_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/nat_of_integer_integer_of_nat'
0. 'hl/thm/Multivariate/complexes/COMPLEX_INV_MUL_'#@#variant 'isa/arith_simps_5'#@#variant
0. 'hl/thm/arith/RIGHT_ADD_DISTRIB_' 'isa/min_diff'#@#variant
0. 'hl/thm/Library/transc/ATN_TAN_' 'isa/arctan/2'#@#variant
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/choose_one'#@#variant
0. 'hl/thm/arith/FACT_NZ_'#@#variant 'isa/num.simps_6'
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/ii.sel_2'#@#variant
0. 'hl/thm/Complex/complex_transc/COMPLEX_II_NZ_'#@#variant 'isa/pi_half_neq_two'#@#variant
0. 'hl/thm/Library/transc/TAN_PERIODIC_NPI_' 'isa/tan_periodic_nat'#@#variant
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI2_'#@#variant 'isa/sin_gt_zero'#@#variant
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/Library/transc/COS_BOUNDS_/0'#@#variant 'isa/zero_less_Suc'#@#variant
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI2_'#@#variant 'isa/tan_gt_zero'#@#variant
0. 'hl/thm/Library/transc/TAN_POS_PI2_'#@#variant 'isa/sin_gt_zero2'#@#variant
0. 'hl/thm/int/INT_SGN_MUL_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/abs_integer.rep_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/num.size_1'#@#variant
0. 'hl/thm/Library/rstc/RC_RULES_/0' 'isa/r_into_rtranclp'
0. 'hl/thm/arith/MULT_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/real/REAL_ADD_RDISTRIB_' 'isa/int_distrib_1'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/arith/LE_MULT2_' 'isa/lcm_semilattice_nat.sup_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/uminus_complex.sel_1'#@#variant
0. 'hl/thm/real/REAL_INV_MUL_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NEG_EQ_' 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/Library/prime/PRIME_2_'#@#variant 'isa/pi_ge_zero'#@#variant
0. 'hl/thm/realax/NADD_EQ_REFL_' 'isa/le_refl'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/int/INT_NEG_ADD_' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/Library/floor/INTEGER_NEG_' 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/real/REAL_SUB_LDISTRIB_' 'isa/nat_add_max_right'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/real_uminus_code'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_EQ_' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/Code_Numeral.dup_code_3'
0. 'hl/thm/Library/integer/INT_DIVIDES_ADD_' 'isa/gcd_semilattice_nat.le_infI'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_30'#@#variant
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_BOUNDS_/1'#@#variant 'isa/arctan_ubound'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/nat_of_integer_of_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/numerals_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_GT_0_'#@#variant 'isa/Re_complex_div_ge_0'#@#variant
0. 'hl/thm/int/int_lt_' 'isa/real_less_code'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble_of_nat_simps_1'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/Multivariate/complexes/FORALL_REAL_'#@#variant 'isa/transfer_int_nat_quantifiers_1'#@#variant
0. 'hl/thm/Library/pocklington/PHI_1_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_26'#@#variant
0. 'hl/thm/Library/transc/ATN_NEG_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_EQ_' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/int/INT_LE_LMUL_'#@#variant 'isa/zmult_zless_mono2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_' 'isa/exp_inj_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Library/transc/PI_POS_'#@#variant 'isa/less_eq_int_code_1'#@#variant
0. 'hl/thm/int/INT_NEG_ADD_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/real/REAL_LE_01_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_5'#@#variant
0. 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_LE_0_'#@#variant 'isa/Im_complex_div_le_0'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LE_' 'isa/transfer_int_nat_relations_2'#@#variant
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/Library/prime/PRIME_2_'#@#variant 'isa/pi_gt_zero'#@#variant
0. 'hl/thm/realax/REAL_ADD_ASSOC_' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant 'isa/zdiv_mono1'#@#variant
0. 'hl/thm/arith/ADD_AC_1' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LDISTRIB_' 'isa/int_distrib_4'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant 'isa/Rep_rat_inject'#@#variant
0. 'hl/thm/int/INT_MIN_ASSOC_' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_EQ_' 'isa/nat_of_natural_inject'
0. 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LDISTRIB_' 'isa/int_distrib_2'#@#variant
0. 'hl/thm/Library/poly/POLY_DIFF_AUX_ADD_LEMMA_'#@#variant 'isa/real_root_divide'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/real/REAL_INV_MUL_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/Library/transc/ACS_MONO_LT_'#@#variant 'isa/arccos_le_arccos'#@#variant
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/arith/ADD_0_'#@#variant 'isa/nat_mult_1_right'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LT_EQ_' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/real/REAL_MAX_MAX_/1' 'isa/gcd_lcm_lattice_nat.inf_sup_ord_4'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LE_' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/real/REAL_LT_ADD_SUB_' 'isa/le_diff_conv'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/Re_complex_of_real'#@#variant
0. 'hl/thm/real/REAL_SGN_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/real/REAL_LT_01_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_6'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/int/INT_SGN_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/minus_nat.simps_1'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_LE_' 'isa/zless_int'#@#variant
0. 'hl/thm/real/REAL_LE_LMUL_'#@#variant 'isa/zmult_zless_mono2'#@#variant
0. 'hl/thm/Library/transc/ATN_NEG_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LINV_'#@#variant 'isa/coprime_Suc_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_DIV_' 'isa/gcd_exp_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_SUB_' 'isa/gcd_semilattice_nat.inf_greatest'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_8'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/of_nat_of_natural'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_1_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/one_real_code'#@#variant
0. 'hl/thm/int/INT_LT_LADD_' 'isa/nat_add_left_cancel_le'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/one_complex.sel_2'#@#variant
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/arith/MULT_EQ_0_'#@#variant 'isa/lcm_0_iff_int'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_MONO_LE_'#@#variant 'isa/arccos_le_arccos'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_CX_' 'isa/complex_cnj_of_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_DIV_CX_'#@#variant 'isa/Im_divide_of_real'#@#variant
0. 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant 'isa/real_mult_le_cancel_iff1'#@#variant
0. 'hl/thm/calc_num/ARITH_7' 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_SIN_'#@#variant 'isa/Nat.intros_2'
0. 'hl/thm/real/REAL_SGN_INEQS_7'#@#variant 'isa/arctan_le_zero_iff'#@#variant
0. 'hl/thm/int/INT_LE_01_'#@#variant 'isa/pi_half_ge_zero'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_AC_2' 'isa/lcm_ac_int_3'#@#variant
0. 'hl/thm/real/REAL_LT_INV_'#@#variant 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/calc_num/ARITH_0'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Library/transc/PI2_PI4_'#@#variant 'isa/cos_60'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/minus_nat.simps_1'#@#variant
0. 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_' 'isa/div_le_mono'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_ADD_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/calc_num/ARITH_1' 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LE_EQ_' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/real/REAL_LT_POW2_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_9'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/Zero_nat_def'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/cnj.sel_2'#@#variant
0. 'hl/thm/int/int_of_num_' 'isa/nat_of_integer.abs_eq'
0. 'hl/thm/Multivariate/transcendentals/REAL_ABS_PI_' 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant 'isa/plus_int_code_2'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/real/REAL_MUL_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/nat_mult_1_right'#@#variant
0. 'hl/thm/calc_num/ARITH_7' 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_98' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/realax/REAL_MUL_LID_'#@#variant 'isa/plus_nat.simps_1'#@#variant
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_DIV_CX_'#@#variant 'isa/Re_divide_of_real'#@#variant
0. 'hl/thm/calc_num/ARITH_1' 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_LOG_'#@#variant 'isa/of_real_sqrt'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LT_' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_NZ_'#@#variant 'isa/pi_half_neq_two'#@#variant
0. 'hl/thm/calc_num/ARITH_98' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant 'isa/powr_le_cancel_iff'#@#variant
0. 'hl/thm/nums/SUC_INJ_' 'isa/exp_inj_iff'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_7'#@#variant
0. 'hl/thm/int/INT_POS_'#@#variant 'isa/Nat_Rep_Nat'
0. 'hl/thm/arith/SUB_0_/0'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_left'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_LE_'#@#variant 'isa/tan_pos_pi2_le'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MUL_' 'isa/int_distrib_3'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/nums/NUM_REP_RULES_0' 'isa/pi_ge_zero'#@#variant
0. 'hl/thm/Library/pocklington/ORDER_1_'#@#variant 'isa/times_int_code_1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_11'#@#variant
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_1_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_' 'isa/gcd_dvd2_int'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_LE_' 'isa/less_eq_integer_code_5'#@#variant
0. 'hl/thm/arith/SUB_0'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/uminus_complex.sel_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_INJ_' 'isa/rel_simps_23'
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/arith/EVEN_DOUBLE_'#@#variant 'isa/exp_ge_zero'#@#variant
0. 'hl/thm/Library/transc/SQRT_POW2_'#@#variant 'isa/real_sqrt_pow2_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant 'isa/max_0L'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_MUL_' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/sgn_integer.abs_eq'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NEG_EQ_' 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/real/REAL_LT_LMUL_'#@#variant 'isa/powr_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_24'#@#variant
0. 'hl/thm/calc_num/ARITH_0'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/int_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/integer_of_num_1'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_6' 'isa/Nat.intros_2'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_5'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_5' 'isa/Nat.intros_2'
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_6'#@#variant
0. 'hl/thm/int/INT_SGN_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/int/INT_ABS_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Library/rstc/STC_INC_SC_' 'isa/tranclp_into_rtranclp'
0. 'hl/thm/calc_int/REAL_MUL_LZERO_'#@#variant 'isa/diff_0_eq_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/int/INT_MUL_AC_1' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/real/REAL_ADD_RDISTRIB_' 'isa/gcd_exp_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/int/INT_EQ_NEG2_' 'isa/num.simps_1'
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/real_inverse_code'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LE_EQ_' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant 'isa/Suc_mono'#@#variant
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/arith/PRE_0'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Library/transc/TAN_NEG_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_DIV_'#@#variant 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/realax/REAL_INV_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Library/transc/SQRT_1_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_INV_INV_'#@#variant 'isa/complex_cnj_cnj'
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/Code_Numeral.dup_code_3'
0. 'hl/thm/Library/analysis/DORDER_NGE_' 'isa/rat_equivp'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MUL_' 'isa/nat_add_max_left'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_MONO_LE_EQ_'#@#variant 'isa/sin_mono_less_eq'#@#variant
0. 'hl/thm/int/int_ge_' 'isa/real_less_eq_code'#@#variant
0. 'hl/thm/arith/TWO_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/real/REAL_LT_INV_'#@#variant 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/realax/REAL_LE_TOTAL_' 'isa/nat_le_linear'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GE_' 'isa/transfer_int_nat_relations_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/Multivariate/vectors/VECTOR_ADD_AC_1'#@#variant 'isa/append_assoc'
0. 'hl/thm/real/REAL_INV_1_LT_'#@#variant 'isa/arccos_lbound'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nat_of_num.simps_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_NEG_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/int/INT_OF_NUM_EQ_' 'isa/quotient_of_inject_eq'#@#variant
0. 'hl/thm/realax/NADD_OF_NUM_LE_' 'isa/less_eq_natural.abs_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI2_'#@#variant 'isa/cot_gt_zero'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/iterate/MONOIDAL_MUL_' 'isa/lcm_semilattice_nat.Sup_fin.semilattice_set_axioms'#@#variant
0. 'hl/thm/int/INT_NEG_ADD_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_0_'#@#variant 'isa/Rat.positive_zero'#@#variant
0. 'hl/thm/int/INT_ADD_AC_2' 'isa/gcd_ac_nat_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/nat_of_num_inc'
0. 'hl/thm/realax/HREAL_INV_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/realax/HREAL_LE_ADD_' 'isa/lcm_dvd1_nat'#@#variant
0. 'hl/thm/Library/transc/ATN_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/Library/transc/COS_ACS_'#@#variant 'isa/sin_arcsin'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NUM_' 'isa/zero_zle_int'#@#variant
0. 'hl/thm/real/REAL_SUB_RDISTRIB_' 'isa/gcd_exp_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_ASSOC_'#@#variant 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/nums/SUC_INJ_' 'isa/arctan_eq_iff'
0. 'hl/thm/Multivariate/transcendentals/REAL_SIN_'#@#variant 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/sgn_integer.rep_eq'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_8'#@#variant 'isa/arctan_less_zero_iff'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LT_' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/iterate/MONOIDAL_ADD_' 'isa/gcd_semilattice_nat.Inf_fin.semilattice_set_axioms'#@#variant
0. 'hl/thm/real/REAL_ABS_ZERO_'#@#variant 'isa/real_sqrt_eq_0_iff'#@#variant
0. 'hl/thm/realax/REAL_LE_REFL_' 'isa/le_refl'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/of_nat_of_natural'#@#variant
0. 'hl/thm/real/REAL_LE_SUB_LADD_' 'isa/less_diff_conv'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/Library/floor/INTEGER_NEG_' 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant 'isa/mult_is_0'#@#variant
0. 'hl/thm/int/INT_OF_NUM_SUC_'#@#variant 'isa/num.size_3'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/one_integer_def'#@#variant
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/realax/REAL_ADD_ASSOC_' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/nat_of_num_inverse'
0. 'hl/thm/Library/transc/ATN_INJ_' 'isa/old.nat.inject'
0. 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant 'isa/nat_mult_le_cancel1'#@#variant
0. 'hl/thm/realax/HREAL_INV_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/Int.dup_code_2'
0. 'hl/thm/real/REAL_ABS_POW_' 'isa/complex_cnj_power'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/nat_of_num_inverse'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_POW_INV_' 'isa/complex_cnj_power'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LT_' 'isa/zle_int'#@#variant
0. 'hl/thm/int/int_of_num_th_' 'isa/nat_of_integer.abs_eq'
0. 'hl/thm/int/int_le_' 'isa/less_eq_integer_code_5'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_22'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant 'isa/Rep_Nat_inject'
0. 'hl/thm/int/INT_OF_NUM_LT_' 'isa/less_eq_int_code_5'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/int/INT_NEG_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_1_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_4'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant 'isa/mult_less_mono2'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_POS_LE_'#@#variant 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/arith/MULT_EXP_' 'isa/gcd_exp_nat'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_8'#@#variant 'isa/real_sqrt_lt_1_iff'#@#variant
0. 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/Library/pocklington/PHI_EQ_0_'#@#variant 'isa/real_sqrt_eq_1_iff'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_0'#@#variant 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/Library/transc/COS_BOUNDS_/1'#@#variant 'isa/arctan_bounded/1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/one_complex.sel_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RDISTRIB_' 'isa/nat_mult_max_left'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LT_' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/int/INT_EQ_ADD_LCANCEL_' 'isa/nat_add_left_cancel'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant 'isa/ln_gt_zero'#@#variant
0. 'hl/thm/real/REAL_LE_ADD2_' 'isa/mult_le_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PERIODIC_'#@#variant 'isa/tan_periodic_pi'#@#variant
0. 'hl/thm/realax/REAL_ADD_LDISTRIB_' 'isa/nat_mult_max_right'#@#variant
0. 'hl/thm/real/REAL_LE_INV_'#@#variant 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RE_CACS_BOUND_'#@#variant 'isa/negative_zless_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/char_of_nat_of_char'
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_EQ_' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/Library/transc/ATN_/2' 'isa/tan_arctan'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CX_' 'isa/cis.sel_1'#@#variant
0. 'hl/thm/realax/TREAL_ADD_WELLDEF_'#@#variant 'isa/gcd_nat.mono'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_LE_' 'isa/less_eq_int_code_5'#@#variant
0. 'hl/thm/calc_num/ARITH_30' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/Library/prime/INDEX_0_'#@#variant 'isa/times_int_code_1'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant 'isa/nat_mult_less_cancel1'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_23'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant 'isa/nat.simps_3'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_'#@#variant 'isa/sin_gt_zero2'#@#variant
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/nat_int'#@#variant
0. 'hl/thm/real/REAL_LT_01_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_6'#@#variant
0. 'hl/thm/calc_num/ARITH_30' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/calc_num/ARITH_101' 'isa/binomial_0_Suc'#@#variant
0. 'hl/thm/calc_num/ARITH_100' 'isa/binomial_0_Suc'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_right'#@#variant
0. 'hl/thm/lists/MONO_ALL_' 'isa/frequently_mono'
0. 'hl/thm/int/INT_LT_01_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_7'#@#variant
0. 'hl/thm/lists/REVERSE_0' 'isa/butlast.simps_1'
0. 'hl/thm/int/INT_SGN_INEQS_7'#@#variant 'isa/real_sqrt_lt_0_iff'#@#variant
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/arith/EXP_ONE_'#@#variant 'isa/times_nat.simps_1'#@#variant
0. 'hl/thm/int/INT_ABS_MUL_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant 'isa/exp_gt_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant 'isa/ln_exp'#@#variant
0. 'hl/thm/calc_num/ARITH_20' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RDISTRIB_' 'isa/nat_mult_max_left'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_INV_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RDISTRIB_' 'isa/nat_distrib_3'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/plus_int_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_INJ_' 'isa/arctan_eq_iff'
0. 'hl/thm/calc_num/ARITH_20' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ROOT_INV_' 'isa/real_root_minus'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/real/REAL_ABS_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant 'isa/zmult_zless_mono2'#@#variant
0. 'hl/thm/calc_num/ARITH_16' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/Int.dup_code_3'
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_20'#@#variant
0. 'hl/thm/Library/prime/LESS_EQ_0_'#@#variant 'isa/le_num_One_iff'#@#variant
0. 'hl/thm/int/INT_ADD_LDISTRIB_' 'isa/gcd_mult_distrib_nat'#@#variant
0. 'hl/thm/realax/HREAL_LE_ADD2_' 'isa/lcm_semilattice_nat.sup_mono'#@#variant
0. 'hl/thm/calc_num/ARITH_10' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/calc_num/ARITH_16' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/arith/FACT_NZ_'#@#variant 'isa/natural.simps_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/arith/LE_TRANS_' 'isa/dvd.order_trans'#@#variant
0. 'hl/thm/calc_num/ARITH_10' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_LT_' 'isa/less_eq_integer_code_5'#@#variant
0. 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant 'isa/real_mult_less_iff1'#@#variant
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/Code_Numeral.dup_code_3'
0. 'hl/thm/int/int_of_num_' 'isa/integer_of_nat.rep_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/nums/NUM_REP_RULES_1' 'isa/Nat.intros_2'
0. 'hl/thm/Library/rstc/STC_TRANS_R_' 'isa/transitive_closurep_trans\'_6'
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant 'isa/gcd_ac_nat_3'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/one_integer.rep_eq'#@#variant
0. 'hl/thm/real/REAL_MAX_LT_' 'isa/lcm_semilattice_nat.sup.bounded_iff'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_6'#@#variant
0. 'hl/thm/int/INT_LE_ADD2_' 'isa/mult_le_mono'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/integer_of_nat_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/natural_of_integer_of_natural'
0. 'hl/thm/int/INT_NEG_ADD_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_SUB_' 'isa/gcd_semilattice_nat.le_infI'#@#variant
0. 'hl/thm/Library/transc/TAN_PERIODIC_PI_' 'isa/sin_periodic'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/minus_int_code_1'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LT_' 'isa/less_int_code_5'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant 'isa/rel_simps_20'
0. 'hl/thm/int/INT_SGN_INEQS_4'#@#variant 'isa/complex_cnj_zero_iff'#@#variant
0. 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant 'isa/arctan_monotone\''#@#variant
0. 'hl/thm/real/REAL_SUB_RDISTRIB_' 'isa/nat_distrib_3'#@#variant
0. 'hl/thm/Library/transc/ATN_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/int/num_divides_' 'isa/real_less_code'#@#variant
0. 'hl/thm/Library/transc/SQRT_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/int/INT_LT_LADD_' 'isa/nat_add_left_cancel_less'#@#variant
0. 'hl/thm/arith/EXP_ONE_'#@#variant 'isa/lcm_0_left_nat'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble_of_nat_simps_2'#@#variant
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/Library/analysis/REAL_'#@#variant 'isa/num.size_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble_of_nat_simps_2'#@#variant
0. 'hl/thm/arith/MULT_0'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_left'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/arith/TWO_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/Library/analysis/REAL_LE_RMUL_IMP_'#@#variant 'isa/mult_less_mono1'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant 'isa/STR_inject\''#@#variant
0. 'hl/thm/nums/IND_SUC_0_' 'isa/rel_simps_16'
0. 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/int/int_le_' 'isa/real_less_code'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_LE_' 'isa/transfer_int_nat_relations_2'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_7'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant 'isa/int_int_eq'#@#variant
0. 'hl/thm/int/INT_SGN_NEG_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_BOUNDS_/0'#@#variant 'isa/zero_less_Suc'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_7'#@#variant 'isa/real_sqrt_le_1_iff'#@#variant
0. 'hl/thm/Library/transc/ATN_INJ_' 'isa/natural.simps_1'
0. 'hl/thm/realax/TREAL_LE_REFL_'#@#variant 'isa/dvd.order.refl'#@#variant
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/binomial_1'#@#variant
0. 'hl/thm/arith/BIT0_' 'isa/gcd_idem_int'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NEG_EQ_' 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/Library/rstc/RSTC_INC_SC_' 'isa/tranclp_into_rtranclp'
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_EQ_' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant 'isa/lcm_0_int'#@#variant
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ABS_PI_' 'isa/arcsin_0'#@#variant
0. 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant 'isa/gcd_1_int'#@#variant
0. 'hl/thm/Library/transc/TAN_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_' 'isa/diff_le_mono'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_12'#@#variant
0. 'hl/thm/Library/transc/PI2_BOUNDS_0'#@#variant 'isa/pos2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant 'isa/sin_x_le_x'#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/Code_Numeral.dup_code_2'
0. 'hl/thm/int/INT_ADD_RDISTRIB_' 'isa/nat_add_max_left'#@#variant
0. 'hl/thm/real/REAL_LE_01_'#@#variant 'isa/Nat.intros_1'
0. 'hl/thm/Library/transc/TAN_COT_'#@#variant 'isa/tan_inverse'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nat_of_num.simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ABS_RPOW_' 'isa/plus_nat.simps_2'#@#variant
0. 'hl/thm/arith/FACT_NZ_'#@#variant 'isa/old.nat.simps_3'#@#variant
0. 'hl/thm/arith/LE_SUC_' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LID_'#@#variant 'isa/plus_integer_code_2'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/arith/LT_SUC_' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_LMUL_' 'isa/lcm_semilattice_nat.le_supI2'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_EQ_' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SINCOS_TOTAL_2PI_'#@#variant 'isa/sincos_total_2pi_le'#@#variant
0. 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Library/floor/INTEGER_NEG_' 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/lists/REVERSE_0' 'isa/remdups_adj.simps_1'
0. 'hl/thm/Multivariate/misc/SQRT_1_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_7'#@#variant 'isa/real_sqrt_lt_1_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_COT_'#@#variant 'isa/tan_inverse'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_LZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_left'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_ADD_' 'isa/diff_add_inverse2'#@#variant
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/plus_int_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_MONO_LE_'#@#variant 'isa/sin_monotone_2pi'#@#variant
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/arith/MULT_ASSOC_' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/arith/MULT_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/int/int_of_num_th_' 'isa/int_of_integer_of_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_EQ_' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nat_of_nibble.simps_3'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/natural_of_integer_of_natural'
0. 'hl/thm/int/INT_MUL_LID_'#@#variant 'isa/lcm_nat.left_neutral'#@#variant
0. 'hl/thm/arith/PRE_0'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Library/pocklington/PHI_PRIME_'#@#variant 'isa/powr_neg_one'#@#variant
0. 'hl/thm/wf/WF_num_' 'isa/transp_ratrel'#@#variant
0. 'hl/thm/real/REAL_LE_01_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_6'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/arith/PRE_0'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/int/INT_SGN_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Library/transc/ATN_/2' 'isa/arctan/2'#@#variant
0. 'hl/thm/Library/poly/POLY_ADD_ASSOC_'#@#variant 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/real/REAL_ABS_INV_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/int/INT_ABS_MUL_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/calc_rat/DECIMAL_' 'isa/minus_integer_code_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant 'isa/ln_less_self'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/Library/pocklington/PHI_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Library/transc/TAN_POS_PI2_'#@#variant 'isa/tan_pos_pi2_le'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_9'#@#variant 'isa/csqrt_eq_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LZERO_'#@#variant 'isa/times_int_code_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant 'isa/Rep_int_inject'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/real_uminus_code'#@#variant
0. 'hl/thm/Library/floor/FLOOR_FRAC_/1'#@#variant 'isa/exp_gt_zero'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_GE_0_'#@#variant 'isa/Im_complex_div_gt_0'#@#variant
0. 'hl/thm/Library/prime/LESS_MONO_ADD_' 'isa/diff_le_mono'#@#variant
0. 'hl/thm/realax/REAL_ADD_LID_'#@#variant 'isa/lcm_nat.left_neutral'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_BOUNDS_/0'#@#variant 'isa/exp_gt_zero'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_4' 'isa/gcd_nat.left_idem'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_9'#@#variant 'isa/real_sqrt_eq_1_iff'#@#variant
0. 'hl/thm/Library/transc/ATN_INJ_' 'isa/real_sqrt_eq_iff'
0. 'hl/thm/Library/prime/DIVIDES_CMUL2_'#@#variant 'isa/zdvd_mult_cancel'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/explode_inverse'#@#variant
0. 'hl/thm/int/INT_MUL_LID_'#@#variant 'isa/arith_simps_11'#@#variant
0. 'hl/thm/arith/LT_MULT2_' 'isa/lcm_semilattice_nat.sup.mono'#@#variant
0. 'hl/thm/int/INT_ADD_RDISTRIB_' 'isa/nat_distrib_3'#@#variant
0. 'hl/thm/arith/SUB_0_/0'#@#variant 'isa/times_integer_code_2'#@#variant
0. 'hl/thm/nums/IND_SUC_INJ_' 'isa/arctan_eq_iff'
0. 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_STRONG_'#@#variant 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant 'isa/nat.simps_3'#@#variant
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant 'isa/old.nat.simps_2'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.bot.extremum'#@#variant
0. 'hl/thm/int/INT_NEG_LMUL_' 'isa/plus_nat.simps_2'#@#variant
0. 'hl/thm/arith/MULT_EXP_' 'isa/nat_distrib_1'#@#variant
0. 'hl/thm/realax/HREAL_EQ_ADD_RCANCEL_' 'isa/nat_add_right_cancel'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GT_' 'isa/less_integer_code_5'#@#variant
0. 'hl/thm/Library/analysis/REAL_10_'#@#variant 'isa/pi_half_neq_two'#@#variant
0. 'hl/thm/real/REAL_SGN_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/uminus_integer.abs_eq'#@#variant
0. 'hl/thm/Library/transc/COS_POS_PI2_'#@#variant 'isa/cos_gt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LE_' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_1' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_2' 'isa/lcm_ac_nat_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Library/rstc/RC_RULES_/0' 'isa/tranclp.intros_1'
0. 'hl/thm/Multivariate/transcendentals/COS_POS_PI2_'#@#variant 'isa/tan_pos_pi2_le'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/lists/ALL_T_' 'isa/eventually_True'
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/norm_ii'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_LE_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_6'#@#variant
0. 'hl/thm/Multivariate/complexes/MONOIDAL_COMPLEX_MUL_'#@#variant 'isa/gcd_semilattice_nat.Inf_fin.semilattice_set_axioms'#@#variant
0. 'hl/thm/nums/IND_SUC_0_' 'isa/nat.simps_3'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_INJ_' 'isa/num.simps_1'
0. 'hl/thm/realax/NADD_ADD_WELLDEF_' 'isa/add_le_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_29'#@#variant
0. 'hl/thm/int/num_divides_' 'isa/zless_int'#@#variant
0. 'hl/thm/realax/NADD_MUL_WELLDEF_' 'isa/add_less_mono'#@#variant
0. 'hl/thm/Library/analysis/REAL_DIV_LZERO_'#@#variant 'isa/times_integer_code_2'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/Nat.add_0_right'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/minus_int_code_1'#@#variant
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_'#@#variant 'isa/pi_half_ge_zero'#@#variant
0. 'hl/thm/realax/NADD_LE_RMUL_' 'isa/diff_le_mono'#@#variant
0. 'hl/thm/int/INT_SUB_RDISTRIB_' 'isa/nat_distrib_3'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_3'#@#variant
0. 'hl/thm/calc_num/ARITH_44' 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/arith/EXP_MULT_' 'isa/diff_diff_left'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nat_of_nibble.simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_NEG_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/calc_num/ARITH_40' 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/arith/LEFT_ADD_DISTRIB_' 'isa/int_distrib_4'#@#variant
0. 'hl/thm/realax/TREAL_LE_REFL_'#@#variant 'isa/le_refl'#@#variant
0. 'hl/thm/realax/NADD_ADD_WELLDEF_' 'isa/lcm_semilattice_nat.sup_mono'#@#variant
0. 'hl/thm/real/REAL_EQ_NEG2_' 'isa/arctan_eq_iff'
0. 'hl/thm/Complex/cpoly/POLY_DIVIDES_TRANS_'#@#variant 'isa/dvd.order_trans'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant 'isa/ln_ge_zero'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ABS_' 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/realax/REAL_ADD_LID_'#@#variant 'isa/arith_simps_11'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_INJ_' 'isa/num.simps_1'
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/lists/MAP_I_' 'isa/map_option.id'
0. 'hl/thm/Library/rstc/RTC_TRANS_L_' 'isa/tranclp.intros_2'
0. 'hl/thm/nums/IND_SUC_0_' 'isa/old.nat.simps_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_BOUND_'#@#variant 'isa/abs_sin_le_one'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_20'#@#variant
0. 'hl/thm/real/REAL_SGN_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_'#@#variant 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/nat_of_natural_of_nat'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant 'isa/STR_inject\''#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2' 'isa/lcm_ac_nat_3'#@#variant
0. 'hl/thm/calc_num/ARITH_92' 'isa/sgn_le_0_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RDISTRIB_' 'isa/min_diff'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_DIV_' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/nums/BIT0_DEF_0'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Library/integer/INT_PRIME_1_'#@#variant 'isa/Rat.positive_zero'#@#variant
0. 'hl/thm/Library/rstc/RTC_INC_TC_' 'isa/tranclp_into_rtranclp'
0. 'hl/thm/Library/transc/SIN_BOUNDS_/0'#@#variant 'isa/zero_less_Suc'#@#variant
0. 'hl/thm/Library/transc/REAL_LE_RSQRT_'#@#variant 'isa/real_le_rsqrt'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_AC_1' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LE_EQ_' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/realax/REAL_INV_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_INJ_' 'isa/real_sqrt_eq_iff'
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/cis_inverse'#@#variant
0. 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_' 'isa/nat_add_left_cancel_less'#@#variant
0. 'hl/thm/real/REAL_INV_EQ_0_'#@#variant 'isa/complex_cnj_zero_iff'#@#variant
0. 'hl/thm/int/INT_MIN_MIN_/0' 'isa/diff_le_self'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Library/transc/SIN_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_MONO_LT_'#@#variant 'isa/arccos_less_arccos'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_1' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_BOUNDS_/1'#@#variant 'isa/sin_le_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_ADD_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Library/poly/POLY_DIVIDES_TRANS_'#@#variant 'isa/dvd.order_trans'#@#variant
0. 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant 'isa/old.nat.inject'
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI2_'#@#variant 'isa/sin_gt_zero_02'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LT_EQ_' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_POS_LT_'#@#variant 'isa/sin_ge_minus_one'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_INV_MUL_'#@#variant 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/realax/HREAL_INV_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_left'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_LE_' 'isa/less_eq_natural.abs_eq'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/arith/LE_SUC_' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GT_' 'isa/transfer_int_nat_relations_3'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_2_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_6'#@#variant
0. 'hl/thm/arith/LT_MULT2_' 'isa/lcm_semilattice_nat.sup_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant 'isa/less_eq_int_code_2'#@#variant
0. 'hl/thm/realax/REAL_MUL_LID_'#@#variant 'isa/gcd_nat.left_neutral'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_DIV_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/arith/RIGHT_ADD_DISTRIB_' 'isa/gcd_exp_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/cnj.sel_2'#@#variant
0. 'hl/thm/int/INT_LE_TRANS_' 'isa/dvd.order.trans'#@#variant
0. 'hl/thm/Library/transc/COS_BOUNDS_/1'#@#variant 'isa/arctan_ubound'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LE_' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/lists/MAP_EQ_NIL_' 'isa/map_option_is_None'
0. 'hl/thm/Library/transc/ATN_MONO_LT_EQ_' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_27'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_RMUL2_' 'isa/add_lessD1'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant 'isa/Suc_neq_Zero'#@#variant
0. 'hl/thm/int/INT_OF_NUM_EQ_' 'isa/Rep_rat_inject'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ABS_PI_' 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/int_Suc'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/uminus_complex.sel_1'#@#variant
0. 'hl/thm/realax/REAL_MUL_LID_'#@#variant 'isa/plus_integer_code_2'#@#variant
0. 'hl/thm/real/REAL_INV_1_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_GE_0_'#@#variant 'isa/Re_complex_div_ge_0'#@#variant
0. 'hl/thm/Library/pocklington/PHI_1_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_INJ_' 'isa/num.simps_2'
0. 'hl/thm/realax/REAL_INV_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant 'isa/ln_ge_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI_'#@#variant 'isa/cot_gt_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble_of_nat_simps_4'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_21'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LE_' 'isa/less_eq_int_code_5'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_ZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.top_unique'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_EQ_' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/Int.dup_code_2'
0. 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant 'isa/lcm_0_int'#@#variant
0. 'hl/thm/int/INT_ABS_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_7' 'isa/csqrt_1'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/Code_Numeral.dup_code_2'
0. 'hl/thm/Library/transc/ASN_SIN_'#@#variant 'isa/cos_arccos'#@#variant
0. 'hl/thm/calc_num/ARITH_60' 'isa/sgn_le_0_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble_of_nat_simps_2'#@#variant
0. 'hl/thm/int/int_eq_' 'isa/STR_inject\''#@#variant
0. 'hl/thm/calc_num/ARITH_1' 'isa/csqrt_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/nat_of_natural_of_nat_inverse'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/cos_coeff_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant 'isa/gcd_nat.left_neutral'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/binomial_1'#@#variant
0. 'hl/thm/int/int_lt_' 'isa/less_eq_natural.abs_eq'#@#variant
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/Nat.add_0_right'#@#variant
0. 'hl/thm/calc_num/ARITH_98' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/nat_of_num_inverse'
0. 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant 'isa/num.simps_4'
0. 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_' 'isa/real_sqrt_le_mono'#@#variant
0. 'hl/thm/int/INT_ADD_LID_'#@#variant 'isa/plus_integer_code_2'#@#variant
0. 'hl/thm/ind_types/FCONS_1' 'isa/natural.case_2'
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LE_' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/realax/REAL_MUL_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/calc_num/ARITH_7' 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Library/transc/PI_POS_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_5'#@#variant
0. 'hl/thm/int/int_sgn_th_' 'isa/Suc.rep_eq'
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/Int.dup_code_3'
0. 'hl/thm/Library/transc/SIN_NPI_'#@#variant 'isa/sin_npi'#@#variant
0. 'hl/thm/realax/NADD_MUL_WELLDEF_' 'isa/lcm_semilattice_nat.sup.mono'#@#variant
0. 'hl/thm/arith/LT_0_'#@#variant 'isa/sin_ge_minus_one'#@#variant
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/calc_num/ARITH_1' 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/int/INT_LE_ADD2_' 'isa/add_less_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant 'isa/less_int_code_2'#@#variant
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/zero_natural.rep_eq'#@#variant
0. 'hl/thm/Library/pocklington/ORDER_1_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_right'#@#variant
0. 'hl/thm/realax/HREAL_MUL_LZERO_'#@#variant 'isa/power_Suc_0'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/int/INT_ABS_1_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/Suc.abs_eq'
0. 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant 'isa/minus_pi_half_less_zero'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_INV_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/int/INT_LT_SUB_RADD_' 'isa/less_diff_conv'#@#variant
0. 'hl/thm/Library/poly/POLYDIFF_ADD_'#@#variant 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nat_of_num_code_1'#@#variant
0. 'hl/thm/int/INT_MUL_LZERO_'#@#variant 'isa/min_0L'#@#variant
0. 'hl/thm/int/INT_EQ_ADD_RCANCEL_' 'isa/nat_add_right_cancel'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_ADD_' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant 'isa/arctan_minus'#@#variant
0. 'hl/thm/real/REAL_LE_01_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_6'#@#variant
0. 'hl/thm/Library/transc/ATN_NEG_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/arith/SUB_0'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_MONO_LE_EQ_'#@#variant 'isa/tan_mono_lt_eq'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/ii.sel_2'#@#variant
0. 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/realax/NADD_LE_ADD_' 'isa/le_add1'#@#variant
0. 'hl/thm/Library/pocklington/PHI_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/nat_of_natural_of_nat'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_0'#@#variant 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/int_of_integer_integer_of_int'
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/cis_inverse'#@#variant
0. 'hl/thm/real/REAL_SGN_MUL_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/Int.dup_code_2'
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_POW_DIV_' 'isa/gcd_exp_int'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_6'#@#variant
0. 'hl/thm/int/INT_EQ_NEG2_' 'isa/rel_simps_20'
0. 'hl/thm/realax/REAL_INV_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Library/transc/COS_NPI_'#@#variant 'isa/cos_npi'#@#variant
0. 'hl/thm/nums/IND_SUC_INJ_' 'isa/natural.simps_1'
0. 'hl/thm/int/INT_NEG_ADD_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/pred_numeral_simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_EQ_' 'isa/nat_of_char_eq_iff'
0. 'hl/thm/real/REAL_SGN_DIV_' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/int/INT_MIN_ACI_2' 'isa/lcm_ac_nat_3'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_4' 'isa/Nat_Transfer.transfer_nat_int_function_closures_4'#@#variant
0. 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/choose_one'#@#variant
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_INV_MUL_'#@#variant 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LT_' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/real/REAL_LT_01_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_7'#@#variant
0. 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant 'isa/pi_less_4'#@#variant
0. 'hl/thm/Library/poly/MONOIDAL_POLY_ADD_'#@#variant 'isa/lcm_nat.semilattice_axioms'#@#variant
0. 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_2'#@#variant 'isa/max_0L'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant 'isa/nat_of_natural_inject'
0. 'hl/thm/Multivariate/misc/SQRT_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LID_'#@#variant 'isa/plus_int_code_2'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_LMUL2_' 'isa/add_leD2'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ABS_' 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant 'isa/mult_0_right'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant 'isa/gcd_lcm_lattice_nat.inf_sup_aci_3'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/norm_ii'#@#variant
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/nat_of_integer_of_nat'#@#variant
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/real/REAL_SUB_LDISTRIB_' 'isa/nat_distrib_4'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/real/REAL_MAX_LE_' 'isa/lcm_semilattice_nat.sup.bounded_iff'#@#variant
0. 'hl/thm/Library/floor/FLOOR_/0' 'isa/sin_ge_minus_one'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/one_integer_code'#@#variant
0. 'hl/thm/Library/prime/PRIME_2_'#@#variant 'isa/pi_half_ge_zero'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_6'#@#variant 'isa/sgn_le_0_iff'#@#variant
0. 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant 'isa/num.simps_1'
0. 'hl/thm/real/REAL_LT_MIN_' 'isa/gcd_greatest_iff_nat'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LE_' 'isa/less_int_code_5'#@#variant
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/arith/MULT_EXP_' 'isa/nat_mult_max_left'#@#variant
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/Multivariate/misc/GE_REFL_' 'isa/le_refl'#@#variant
0. 'hl/thm/realax/HREAL_INV_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_'#@#variant 'isa/less_eq_int_code_1'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/one_int_code'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/zero_real_code'#@#variant
0. 'hl/thm/int/int_of_num_' 'isa/int_numeral'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_INJ_' 'isa/nat.simps_1'
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/one_int_code'#@#variant
0. 'hl/thm/real/REAL_POW_LE_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_4'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_3' 'isa/lcm_semilattice_nat.sup_idem'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_COS_'#@#variant 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant 'isa/powr_le_cancel_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/real_inverse_code'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/natural.size_1'#@#variant
0. 'hl/thm/Library/rstc/RSTC_INC_' 'isa/r_into_rtranclp'
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/num.size_1'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_TOTAL_LEMMA_'#@#variant 'isa/lemma_exp_total'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_SUB_' 'isa/zdiff_int'#@#variant
0. 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant 'isa/real_less_code'#@#variant
0. 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_TRANS_' 'isa/dvd.order_trans'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Library/prime/PRIME_2_'#@#variant 'isa/pi_half_gt_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ABS_NORM_' 'isa/complex_cnj_numeral'#@#variant
0. 'hl/thm/int/int_sgn_th_' 'isa/real_uminus_code'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_ASSOC_'#@#variant 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/real/REAL_MAX_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/realax/REAL_MUL_ASSOC_' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/Library/poly/POLY_DIVIDES_TRANS_'#@#variant 'isa/le_trans'#@#variant
0. 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant 'isa/nat_mult_less_cancel1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/uminus_complex.sel_2'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_1'#@#variant 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Multivariate/vectors/VECTOR_MUL_ASSOC_'#@#variant 'isa/take_take'#@#variant
0. 'hl/thm/realarith/REAL_LT_TRANS_' 'isa/dvd.order.trans'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_NEG_' 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/Library/poly/POLYDIFF_ADD_'#@#variant 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NUM_' 'isa/nat_of_num_pos'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI_'#@#variant 'isa/tan_pos_pi2_le'#@#variant
0. 'hl/thm/calc_num/ARITH_30' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/real/REAL_MUL_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_3'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_'#@#variant 'isa/cos_gt_zero'#@#variant
0. 'hl/thm/int/num_divides_' 'isa/less_eq_int_code_5'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_15'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant 'isa/Zero_neq_Suc'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LDISTRIB_' 'isa/nat_mult_min_right'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_INJ_' 'isa/complex_cnj_cancel_iff'
0. 'hl/thm/Library/transc/COS_POS_PI2_'#@#variant 'isa/sin_gt_zero_02'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/int/INT_ABS_1_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ABS_NORM_' 'isa/complex_cnj_of_nat'#@#variant
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/plus_int_code_1'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/calc_num/ARITH_7' 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nat_code_2'#@#variant
0. 'hl/thm/ind_types/FCONS_0'#@#variant 'isa/natural.case_1'#@#variant
0. 'hl/thm/calc_num/ARITH_20' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/calc_num/ARITH_1' 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/int/INT_MUL_LZERO_'#@#variant 'isa/times_integer_code_2'#@#variant
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/real/REAL_ABS_MUL_' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_18'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_4'#@#variant 'isa/real_sqrt_eq_0_iff'#@#variant
0. 'hl/thm/int/INT_MUL_RZERO_'#@#variant 'isa/gcd_Suc_0'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_19'#@#variant
0. 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/Library/transc/SIN_BOUNDS_/1'#@#variant 'isa/arctan_bounded/1'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_2' 'isa/gcd_ac_nat_3'#@#variant
0. 'hl/thm/calc_num/ARITH_16' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/realarith/REAL_LT_TRANS_' 'isa/le_trans'#@#variant
0. 'hl/thm/int/INT_POW_LT_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_4'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_DIV_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/calc_num/ARITH_10' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/calc_num/ARITH_92' 'isa/real_sqrt_lt_0_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_9'#@#variant 'isa/arctan_eq_zero_iff'#@#variant
0. 'hl/thm/real/REAL_ADD_RDISTRIB_' 'isa/int_distrib_3'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/zero_complex.sel_2'#@#variant
0. 'hl/thm/real/REAL_EQ_INV2_' 'isa/arctan_eq_iff'
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_STRONG_'#@#variant 'isa/Nat.intros_2'
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_12'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_LMUL_' 'isa/lcm_semilattice_nat.le_supI2'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant 'isa/old.nat.simps_3'#@#variant
0. 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant 'isa/nat_mult_le_cancel1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LDISTRIB_' 'isa/nat_mult_min_right'#@#variant
0. 'hl/thm/calc_num/ARITH_7' 'isa/csqrt_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/cnj.sel_2'#@#variant
0. 'hl/thm/real/REAL_LT_ADD2_' 'isa/lcm_semilattice_nat.sup.mono'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_1_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/real/REAL_LE_POW2_'#@#variant 'isa/zero_zle_int'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant 'isa/real_mult_le_cancel_iff2'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GE_' 'isa/less_integer_code_5'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_INV_EQ_' 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant 'isa/mult_0_right'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_MUL_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/one_complex.sel_2'#@#variant
0. 'hl/thm/calc_num/ARITH_1' 'isa/csqrt_0'#@#variant
0. 'hl/thm/Library/pratt/PHI_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/int/INT_ABS_POW_' 'isa/complex_cnj_power'#@#variant
0. 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Library/rstc/RSTC_INC_RC_' 'isa/tranclp_into_rtranclp'
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/integer_of_nat_1'#@#variant
0. 'hl/thm/Library/transc/COS_BOUNDS_/1'#@#variant 'isa/arctan/1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_MONO_LE_'#@#variant 'isa/cos_monotone_minus_pi_0\''#@#variant
0. 'hl/thm/real/REAL_LE_POW2_'#@#variant 'isa/Nat_Rep_Nat'
0. 'hl/thm/Multivariate/transcendentals/ACS_MONO_LE_'#@#variant 'isa/cos_monotone_0_pi_le'#@#variant
0. 'hl/thm/arith/LT_TRANS_' 'isa/dvd.dual_order.trans'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/cis_inverse'#@#variant
0. 'hl/thm/arith/EVEN_EXISTS_LEMMA_/0'#@#variant 'isa/gr0_implies_Suc'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant 'isa/nat_mult_1'#@#variant
0. 'hl/thm/arith/TWO_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/int/INT_ABS_ZERO_'#@#variant 'isa/real_sqrt_eq_1_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/Code_Numeral.dup_code_2'
0. 'hl/thm/calc_num/ARITH_3' 'isa/complex_cnj_i'#@#variant
0. 'hl/thm/calc_num/ARITH_96' 'isa/rel_simps_14'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/eval_nat_numeral_1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_22'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/real_uminus_code'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_DIV_'#@#variant 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/calc_num/ARITH_52' 'isa/real_sqrt_eq_1_iff'#@#variant
0. 'hl/thm/real/REAL_POW_LE_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_4'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_NEG_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/real/REAL_SUB_RDISTRIB_' 'isa/int_distrib_3'#@#variant
0. 'hl/thm/calc_num/ARITH_50' 'isa/real_sqrt_eq_1_iff'#@#variant
0. 'hl/thm/arith/ADD_CLAUSES_0'#@#variant 'isa/gcd_0_left_nat'#@#variant
0. 'hl/thm/Library/transc/SIN_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/uminus_complex.sel_2'#@#variant
0. 'hl/thm/Library/rstc/RTC_RULES_/0' 'isa/tranclp.intros_1'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/choose_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/real/REAL_POW_DIV_' 'isa/gcd_exp_int'#@#variant
0. 'hl/thm/Library/transc/SQRT_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Library/transc/LN_MUL_'#@#variant 'isa/ln_mult'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MUL_' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LT_' 'isa/less_eq_integer.abs_eq'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/int/int_eq_' 'isa/Rep_Nat_inject'
0. 'hl/thm/Library/transc/ACS_COS_'#@#variant 'isa/arccos_cos'#@#variant
0. 'hl/thm/Library/transc/SIN_BOUND_'#@#variant 'isa/abs_sin_le_one'#@#variant
0. 'hl/thm/calc_num/ARITH_85' 'isa/rel_simps_14'#@#variant
0. 'hl/thm/int/INT_ABS_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/calc_num/ARITH_98' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/real/REAL_LE_SUB_LADD_' 'isa/le_diff_conv'#@#variant
0. 'hl/thm/Library/transc/TAN_TOTAL_POS_'#@#variant 'isa/tan_total_pos'#@#variant
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/Real.positive_add'#@#variant
0. 'hl/thm/real/REAL_INV_EQ_1_'#@#variant 'isa/complex_cnj_zero_iff'#@#variant
0. 'hl/thm/Library/transc/COS_2_'#@#variant 'isa/m2pi_less_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/uminus_complex.sel_2'#@#variant
0. 'hl/thm/real/REAL_LE_ADD2_' 'isa/add_less_mono'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RDISTRIB_' 'isa/int_distrib_1'#@#variant
0. 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/choose_one'#@#variant
0. 'hl/thm/Library/prime/PRIME_2_'#@#variant 'isa/pos2'#@#variant
0. 'hl/thm/arith/LE_1_1'#@#variant 'isa/gr0I'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/arith/LT_TRANS_' 'isa/dvd.order_trans'#@#variant
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/calc_num/ARITH_0'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/calc_num/ARITH_60' 'isa/real_sqrt_lt_0_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_0_'#@#variant 'isa/real_sqrt_eq_1_iff'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_3' 'isa/gcd_idem_nat'#@#variant
0. 'hl/thm/arith/ADD_0_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant 'isa/gcd_greatest_nat'#@#variant
0. 'hl/thm/real/REAL_LT_01_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_7'#@#variant
0. 'hl/thm/Library/analysis/REAL_MIDDLE2_'#@#variant 'isa/real_gt_half_sum'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_MONO_LT_'#@#variant 'isa/cos_monotone_minus_pi_0\''#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/arith/MULT_0_'#@#variant 'isa/min_0R'#@#variant
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/int/INT_GT_DISCRETE_'#@#variant 'isa/zle_diff1_eq'#@#variant
0. 'hl/thm/calc_num/ARITH_76' 'isa/rel_simps_14'#@#variant
0. 'hl/thm/int/INT_LT_01_'#@#variant 'isa/pi_gt_zero'#@#variant
0. 'hl/thm/int/INT_ADD_AC_1' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/arith/SUB_0'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/Rep_int_inverse'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/uminus_complex.sel_1'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/int/INT_MIN_ACI_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_3'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ABS_' 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_LMUL_' 'isa/trans_le_add2'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant 'isa/Nat_Rep_Nat'
0. 'hl/thm/int/int_of_num_' 'isa/real_floor_code'#@#variant
0. 'hl/thm/realax/REAL_MUL_LID_'#@#variant 'isa/plus_int_code_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant 'isa/nat_mult_less_cancel1'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_' 'isa/add_less_mono1'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GE_' 'isa/transfer_int_nat_relations_3'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant 'isa/nat_of_char_eq_iff'
0. 'hl/thm/real/REAL_INV_MUL_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant 'isa/Rep_Nat_inject'
0. 'hl/thm/calc_num/ARITH_57' 'isa/num.simps_1'
0. 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant 'isa/arctan_minus'#@#variant
0. 'hl/thm/real/REAL_EQ_NEG2_' 'isa/nat.simps_1'
0. 'hl/thm/real/REAL_SGN_INEQS_6'#@#variant 'isa/arctan_le_zero_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_54' 'isa/num.simps_1'
0. 'hl/thm/Library/isum/MONOIDAL_INT_ADD_' 'isa/gcd_nat.semilattice_axioms'#@#variant
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/calc_num/ARITH_65' 'isa/rel_simps_14'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/nums/SUC_INJ_' 'isa/complex_cnj_cancel_iff'
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/Library/transc/TAN_NPI_'#@#variant 'isa/sin_npi'#@#variant
0. 'hl/thm/real/REAL_EQ_NEG2_' 'isa/num.simps_1'
0. 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/minus_nat.simps_1'#@#variant
0. 'hl/thm/int/INT_NEG_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GT_' 'isa/less_eq_natural.abs_eq'#@#variant
0. 'hl/thm/Library/transc/ACS_MONO_LT_'#@#variant 'isa/cos_monotone_0_pi_le'#@#variant
0. 'hl/thm/calc_num/ARITH_48' 'isa/num.simps_1'
0. 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_STRONG_'#@#variant 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/arith/LT_TRANS_' 'isa/dvd.order.trans'#@#variant
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/real_uminus_code'#@#variant
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Library/pratt/PHI_1_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/real/REAL_SGN_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Multivariate/transcendentals/ATN_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/one_integer.rep_eq'#@#variant
0. 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant 'isa/nat_mult_le_cancel1'#@#variant
0. 'hl/thm/int/INT_ABS_SGN_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/Library/rstc/RSTC_INC_STC_' 'isa/tranclp_into_rtranclp'
0. 'hl/thm/realax/REAL_LE_REFL_' 'isa/dvd.order_refl'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/Code_Numeral.dup_code_2'
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/cnj.sel_2'#@#variant
0. 'hl/thm/Library/floor/FLOOR_MONO_' 'isa/Suc_mono'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/minus_nat.simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/int/INT_ABS_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/Library/transc/SQRT_POS_LT_'#@#variant 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_POS_LT_'#@#variant 'isa/Nat.intros_2'
0. 'hl/thm/Library/rstc/SC_INC_' 'isa/tranclp.intros_1'
0. 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/int_of_integer_inverse'
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/nums/NOT_SUC_'#@#variant 'isa/num.simps_6'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/int/int_le_' 'isa/less_eq_natural.abs_eq'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_LE_' 'isa/less_eq_int_code_5'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_2'#@#variant 'isa/plus_nat.simps_1'#@#variant
0. 'hl/thm/realarith/REAL_POS_'#@#variant 'isa/nat_of_num_pos'#@#variant
0. 'hl/thm/realax/REAL_LE_TRANS_' 'isa/dvd.order_trans'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_SUB_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/real/REAL_ABS_MUL_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/Library/transc/TAN_COT_'#@#variant 'isa/cos_periodic_pi2'#@#variant
0. 'hl/thm/Library/floor/FLOOR_NUM_' 'isa/complex_cnj_of_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant 'isa/exp_gt_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_LE_'#@#variant 'isa/sin_gt_zero_02'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_2' 'isa/lcm_ac_int_3'#@#variant
0. 'hl/thm/nums/SUC_INJ_' 'isa/rel_simps_23'
0. 'hl/thm/Multivariate/transcendentals/CX_LOG_'#@#variant 'isa/Suc_nat_eq_nat_zadd1'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/real/REAL_NEG_EQ_0_'#@#variant 'isa/complex_cnj_zero_iff'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_RMUL_' 'isa/lcm_semilattice_nat.le_supI1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/arg_zero'#@#variant
0. 'hl/thm/Library/analysis/topology_tybij_0' 'isa/Rep_filter_inverse'
0. 'hl/thm/int/INT_SUB_REFL_'#@#variant 'isa/binomial_n_n'#@#variant
0. 'hl/thm/real/REAL_INV_1_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NEG_' 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant 'isa/old.nat.simps_3'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant 'isa/times_integer_code_1'#@#variant
0. 'hl/thm/realax/NADD_EQ_TRANS_' 'isa/dvd.order.trans'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_LE_0_'#@#variant 'isa/Im_complex_div_lt_0'#@#variant
0. 'hl/thm/arith/DIV_1_'#@#variant 'isa/plus_int_code_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/real/REAL_SUB_LZERO_'#@#variant 'isa/minus_int_code_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_COS_'#@#variant 'isa/tan_cot\''#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/Suc.abs_eq'
0. 'hl/thm/Multivariate/transcendentals/SIN_BOUNDS_/0'#@#variant 'isa/exp_gt_zero'#@#variant
0. 'hl/thm/Library/analysis/REAL_'#@#variant 'isa/num.size_3'#@#variant
0. 'hl/thm/real/REAL_LT_MIN_' 'isa/gcd_greatest_iff_int'#@#variant
0. 'hl/thm/int/INT_NEG_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Library/card/sum_INJECTIVE_0' 'isa/sum.simps_1'
0. 'hl/thm/Multivariate/vectors/SQRT_DIV_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/Library/transc/SIN_NEG_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NUM_' 'isa/Nat_Rep_Nat'
0. 'hl/thm/Library/pratt/PHI_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_' 'isa/less_diff_conv'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/realax/REAL_ADD_LDISTRIB_' 'isa/int_distrib_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/int/INT_MIN_ACI_3' 'isa/lcm_semilattice_nat.sup_idem'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Library/transc/ATN_/1'#@#variant 'isa/cos_le_one'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LE_EQ_' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_21'#@#variant
0. 'hl/thm/calc_num/ARITH_30' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/real/REAL_INV_1_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_SQRT_'#@#variant 'isa/Suc_nat_eq_nat_zadd1'#@#variant
0. 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant 'isa/gcd_semilattice_nat.le_infI'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_7'#@#variant 'isa/arctan_less_zero_iff'#@#variant
0. 'hl/thm/int/INT_MIN_ACI_4' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_8'#@#variant
0. 'hl/thm/int/INT_MIN_ACI_2' 'isa/gcd_ac_int_3'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_CLOSED_6' 'isa/Nat_Transfer.transfer_nat_int_function_closures_4'#@#variant
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LE_' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/int/INT_MAX_ASSOC_' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant 'isa/quotient_of_inject_eq'#@#variant
0. 'hl/thm/int/INT_OF_NUM_EQ_' 'isa/int_of_integer_inject'
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_31'#@#variant
0. 'hl/thm/realax/NADD_INV_WELLDEF_' 'isa/Suc_mono'#@#variant
0. 'hl/thm/real/REAL_LE_01_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_7'#@#variant
0. 'hl/thm/arith/LE_MULT2_' 'isa/add_less_mono'#@#variant
0. 'hl/thm/real/REAL_LT_NEGTOTAL_'#@#variant 'isa/Rat.positive_minus'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MUL_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/real/REAL_MUL_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/int/int_gt_' 'isa/less_integer.abs_eq'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_16'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PERIODIC_'#@#variant 'isa/cos_periodic'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_MONO_LT_EQ_'#@#variant 'isa/sin_mono_le_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/abs_integer.rep_eq'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant 'isa/nat_of_char_eq_iff'
0. 'hl/thm/calc_num/ARITH_20' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant 'isa/le_refl'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_19'#@#variant
0. 'hl/thm/arith/MULT_0_'#@#variant 'isa/gcd_1_int'#@#variant
0. 'hl/thm/Library/transc/COS_2_'#@#variant 'isa/cos_two_less_zero'#@#variant
0. 'hl/thm/arith/ADD_EQ_0_'#@#variant 'isa/mult_eq_1_iff'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant 'isa/real_sqrt_eq_iff'
0. 'hl/thm/iterate/MONOIDAL_REAL_ADD_' 'isa/gcd_nat.semilattice_axioms'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/Suc.abs_eq'
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/real_inverse_code'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_7'#@#variant 'isa/real_sqrt_lt_1_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/calc_num/ARITH_16' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant 'isa/transfer_int_nat_relations_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_COS_'#@#variant 'isa/Nat.intros_2'
0. 'hl/thm/calc_num/ARITH_10' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_' 'isa/arctan_monotone\''#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_DIV_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/arith/LE_ADDR_' 'isa/lcm_dvd2_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/zero_natural.rep_eq'#@#variant
0. 'hl/thm/real/REAL_LT_SUB_LADD_' 'isa/less_diff_conv'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/lists/MAP_I_' 'isa/image_id'
0. 'hl/thm/Multivariate/transcendentals/SIN_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/arg_zero'#@#variant
0. 'hl/thm/int/INT_NEG_EQ_0_'#@#variant 'isa/arctan_eq_zero_iff'#@#variant
0. 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/Library/transc/COS_PERIODIC_PI_' 'isa/cos_periodic_pi'#@#variant
0. 'hl/thm/int/INT_LE_ADD2_' 'isa/gcd_nat.mono'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_' 'isa/num.simps_1'
0. 'hl/thm/Multivariate/complexes/COMPLEX_INV_MUL_'#@#variant 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_32'#@#variant
0. 'hl/thm/realarith/REAL_LT_REFL_' 'isa/less_not_refl'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble_of_nat_simps_3'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ABS_' 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/int/INT_MAX_MAX_/1' 'isa/le_add2'#@#variant
0. 'hl/thm/nums/BIT0_DEF_0'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/arith/LT_ADD2_' 'isa/add_le_mono'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LT_' 'isa/real_less_code'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_LE_X_'#@#variant 'isa/ln_bound'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_6'#@#variant 'isa/real_sqrt_lt_0_iff'#@#variant
0. 'hl/thm/Library/transc/SIN_BOUNDS_/1'#@#variant 'isa/arctan_ubound'#@#variant
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/nat_of_natural_inverse'
0. 'hl/thm/nums/ZERO_DEF_' 'isa/zero_integer_def'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble_of_nat_simps_4'#@#variant
0. 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/plus_int_code_1'#@#variant
0. 'hl/thm/int/INT_MIN_ACI_3' 'isa/gcd_nat.idem'#@#variant
0. 'hl/thm/int/INT_LE_TRANS_' 'isa/le_trans'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_4'#@#variant 'isa/complex_cnj_zero_iff'#@#variant
0. 'hl/thm/realax/HREAL_MUL_LZERO_'#@#variant 'isa/times_integer_code_2'#@#variant
0. 'hl/thm/Library/rstc/RSTC_TRANS_' 'isa/transitive_closurep_trans\'_1'
0. 'hl/thm/Complex/complexnumbers/CNJ_INJ_' 'isa/arctan_eq_iff'
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/real/REAL_ABS_SGN_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/int/INT_MAX_MAX_/0' 'isa/lcm_dvd1_nat'#@#variant
0. 'hl/thm/real/REAL_LT_POW2_'#@#variant 'isa/nat_of_num_pos'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/cos_coeff_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_1_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_2' 'isa/lcm_ac_int_3'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant 'isa/zero_zle_int'#@#variant
0. 'hl/thm/arith/FACT_LE_'#@#variant 'isa/exp_ge_zero'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/ii.sel_1'#@#variant
0. 'hl/thm/int/int_eq_' 'isa/Rep_int_inject'#@#variant
0. 'hl/thm/Complex/complex_transc/COMPLEX_II_NZ_'#@#variant 'isa/complex_i_not_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/realax/NADD_OF_NUM_LE_' 'isa/less_int_code_5'#@#variant
0. 'hl/thm/Library/prime/EXP_EXP_' 'isa/diff_diff_left'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NUM_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_9'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/Code_Numeral.dup_code_3'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_MUL_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/Library/pocklington/PHI_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/nat_of_integer_of_nat'#@#variant
0. 'hl/thm/int/INT_MAX_MAX_/1' 'isa/lcm_semilattice_nat.sup.cobounded2'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/one_natural_def'#@#variant
0. 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant 'isa/ln_gt_zero'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/trivia/I_DEF_' 'isa/id_bnf_apply'
0. 'hl/thm/Multivariate/vectors/SQRT_INJ_' 'isa/Suc_Rep_inject\''
0. 'hl/thm/Library/transc/TAN_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant 'isa/div_le_mono'#@#variant
0. 'hl/thm/Library/transc/PI2_'#@#variant 'isa/pi_half'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/real_inverse_code'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/Real.positive_add'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_SUB_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/nums/BIT0_DEF_0'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/Library/transc/ATN_NEG_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/Library/integer/INT_DIVIDES_SUB_' 'isa/dvd_diff_nat'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/realarith/REAL_POS_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_9'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI2_'#@#variant 'isa/cos_gt_zero'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/cis_inverse'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/one_real_code'#@#variant
0. 'hl/thm/nums/NUM_REP_RULES_0' 'isa/Nat_Transfer.transfer_int_nat_function_closures_6'#@#variant
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Multivariate/vectors/VECTOR_MUL_LNEG_'#@#variant 'isa/rotate_Suc'
0. 'hl/thm/Library/transc/SQRT_1_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/realax/REAL_INV_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/Library/rstc/SC_IDEMP_' 'isa/rtranclp_idemp'
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/Rep_Nat_inverse'
0. 'hl/thm/Library/transc/PI2_BOUNDS_0'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_7'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INJ_' 'isa/explode_inject'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_30'#@#variant
0. 'hl/thm/Library/transc/COS_ACS_'#@#variant 'isa/cos_arccos'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_GE_0_'#@#variant 'isa/Im_complex_div_ge_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/arith/LT_SUC_' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/nat_of_natural_of_nat'#@#variant
0. 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant 'isa/minus_pi_half_less_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_SQRT_'#@#variant 'isa/powr_neg_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_TAN_'#@#variant 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/arith/ADD_0_'#@#variant 'isa/binomial_1'#@#variant
0. 'hl/thm/Library/transc/ATN_BOUNDS_/1'#@#variant 'isa/arctan_bounded/1'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_EQ_' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LT_' 'isa/exp_less_mono'#@#variant
0. 'hl/thm/real/REAL_SGN_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant 'isa/nat_mult_dvd_cancel1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_BOUNDS_/0'#@#variant 'isa/sin_ge_minus_one'#@#variant
0. 'hl/thm/int/INT_ADD_ASSOC_' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_COS_'#@#variant 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/real/REAL_INV_1_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/Rep_rat_inverse'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_ABS_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LT_' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/arith/EVEN_EXISTS_LEMMA_/0'#@#variant 'isa/exp_total'#@#variant
0. 'hl/thm/int/INT_SUB_LDISTRIB_' 'isa/int_distrib_2'#@#variant
0. 'hl/thm/int/int_of_num_th_' 'isa/int_of_integer_numeral'#@#variant
0. 'hl/thm/realax/HREAL_MUL_LZERO_'#@#variant 'isa/times_nat.simps_1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/transfer_nat_int_numerals_2'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_6'#@#variant 'isa/real_sqrt_le_1_iff'#@#variant
0. 'hl/thm/real/REAL_INV_1_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/real/REAL_ABS_1_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/cnj.sel_2'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/transfer_int_nat_numerals_3'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/Int.dup_code_2'
0. 'hl/thm/Multivariate/transcendentals/COS_PERIODIC_'#@#variant 'isa/sin_periodic'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_LZERO_'#@#variant 'isa/times_nat.simps_1'#@#variant
0. 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant 'isa/lcm_0_iff_int'#@#variant
0. 'hl/thm/arith/ADD_0_'#@#variant 'isa/minus_nat.simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI3_'#@#variant 'isa/tan_45'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/sgn_integer.rep_eq'#@#variant
0. 'hl/thm/Library/transc/SQRT_MONO_LT_EQ_'#@#variant 'isa/ln_less_cancel_iff'#@#variant
0. 'hl/thm/realax/NADD_ADD_WELLDEF_' 'isa/add_less_mono'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_6' 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_3' 'isa/lcm_nat.idem'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_5' 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_25'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/realarith/REAL_LT_IMP_LE_' 'isa/le_simps_1'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_' 'isa/arctan_monotone\''#@#variant
0. 'hl/thm/int/INT_ADD_LDISTRIB_' 'isa/nat_mult_max_right'#@#variant
0. 'hl/thm/int/INT_EQ_NEG2_' 'isa/complex_cnj_cancel_iff'
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/nat_of_num_inc'
0. 'hl/thm/Multivariate/complexes/CNJ_MUL_'#@#variant 'isa/arith_simps_5'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_POS_LT_'#@#variant 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/arith/LE_SUC_' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LE_' 'isa/less_eq_integer.abs_eq'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/arith/FACT_NZ_'#@#variant 'isa/rel_simps_17'
0. 'hl/thm/int/INT_NEG_EQ_0_'#@#variant 'isa/csqrt_eq_0'#@#variant
0. 'hl/thm/real/REAL_EQ_INV2_' 'isa/nat.simps_1'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/zero_integer.rep_eq'#@#variant
0. 'hl/thm/int/INT_POW_MUL_' 'isa/gcd_exp_int'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/uminus_integer.abs_eq'#@#variant
0. 'hl/thm/lists/MAP_REVERSE_' 'isa/map_butlast'
0. 'hl/thm/Multivariate/transcendentals/SIN_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GT_' 'isa/zless_int'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_6'#@#variant 'isa/real_sqrt_lt_1_iff'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/Library/analysis/SEQ_NEG_' 'isa/sums_cnj'#@#variant
0. 'hl/thm/realax/HREAL_MUL_LZERO_'#@#variant 'isa/times_int_code_2'#@#variant
0. 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/arith/ADD_AC_1' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/real/REAL_EQ_INV2_' 'isa/num.simps_1'
0. 'hl/thm/Library/pratt/PHI_1_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/uminus_integer.rep_eq'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LE_' 'isa/zless_int'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_ZERO_'#@#variant 'isa/int_eq_0_conv'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/one_integer.rep_eq'#@#variant
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/arith/EQ_IMP_LE_' 'isa/dvd.eq_refl'#@#variant
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/arith/LT_SUC_' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/int/int_sgn_th_' 'isa/uminus_integer.abs_eq'#@#variant
0. 'hl/thm/arith/MULT_0'#@#variant 'isa/times_int_code_2'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_28'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2' 'isa/lcm_ac_nat_3'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/natural_of_integer_of_natural'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_NEG_' 'isa/complex_mod_cnj'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_23'#@#variant
0. 'hl/thm/real/REAL_LE_01_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_7'#@#variant
0. 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/binomial_1'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_4'#@#variant 'isa/csqrt_eq_0'#@#variant
0. 'hl/thm/real/REAL_SUB_RDISTRIB_' 'isa/nat_mult_min_left'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GT_' 'isa/real_less_eq_code'#@#variant
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nat_of_nibble.simps_3'#@#variant
0. 'hl/thm/int/INT_LE_01_'#@#variant 'isa/pi_gt_zero'#@#variant
0. 'hl/thm/iterate/MONOIDAL_REAL_ADD_' 'isa/lcm_semilattice_nat.Sup_fin.semilattice_set_axioms'#@#variant
0. 'hl/thm/real/REAL_SGN_MUL_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/int/INT_SUB_LDISTRIB_' 'isa/nat_mult_max_right'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/Zero_nat_def'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LDISTRIB_' 'isa/int_distrib_4'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_EQ_' 'isa/explode_inject'#@#variant
0. 'hl/thm/Library/poly/POLY_ADD_ASSOC_'#@#variant 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_' 'isa/natural.simps_1'
0. 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant 'isa/nat_mult_less_cancel1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_EQ_' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/real/REAL_ABS_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/one_integer_def'#@#variant
0. 'hl/thm/real/REAL_LT_ADD2_' 'isa/add_le_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/abs_integer.abs_eq'#@#variant
0. 'hl/thm/arith/LEFT_ADD_DISTRIB_' 'isa/nat_mult_max_right'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/integer_of_int_int_of_integer'
0. 'hl/thm/int/INT_MAX_ACI_4' 'isa/lcm_nat.left_idem'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MUL_' 'isa/nat_mult_min_left'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_SUB_' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/Library/transc/TAN_PERIODIC_PI_' 'isa/cos_periodic'#@#variant
0. 'hl/thm/real/REAL_LT_POW2_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_9'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GE_' 'isa/less_eq_natural.abs_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ABS_NORM_' 'isa/complex_cnj_complex_of_real'#@#variant
0. 'hl/thm/int/num_divides_' 'isa/less_integer.abs_eq'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_10'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/nat_of_integer_of_nat'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GT_' 'isa/less_int_code_5'#@#variant
0. 'hl/thm/int/int_of_num_' 'isa/int_of_integer_integer_of_nat'#@#variant
0. 'hl/thm/real/REAL_ABS_LE_' 'isa/fact_ge_self'#@#variant
0. 'hl/thm/real/REAL_EQ_NEG2_' 'isa/natural.simps_1'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RDISTRIB_' 'isa/nat_distrib_3'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nat_of_nibble.simps_1'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_SQRT_'#@#variant 'isa/num_of_nat.simps_2/0'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_ASSOC_' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/realarith/REAL_POS_'#@#variant 'isa/zero_zle_int'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_32'#@#variant
0. 'hl/thm/realax/NADD_OF_NUM_LE_' 'isa/less_integer_code_5'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/eval_nat_numeral_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_COS_'#@#variant 'isa/cos_arccos'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant 'isa/rel_simps_18'
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/arith/EXP_MONO_LE_IMP_' 'isa/diff_le_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PI4_'#@#variant 'isa/cos_60'#@#variant
0. 'hl/thm/iterate/MONOIDAL_MUL_' 'isa/gcd_semilattice_nat.Inf_fin.semilattice_set_axioms'#@#variant
0. 'hl/thm/class/SELECT_REFL_' 'isa/the_eq_trivial'
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_EQ_' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LZERO_'#@#variant 'isa/diff_0_eq_0'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant 'isa/dvd_1_left'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/integer_of_num_1'#@#variant
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/nat_int'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_NEG_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant 'isa/gcd_nat.boundedI'#@#variant
0. 'hl/thm/real/REAL_LT_TOTAL_' 'isa/linorder_neqE_nat'#@#variant
0. 'hl/thm/real/REAL_MAX_MAX_/1' 'isa/lcm_semilattice_nat.sup.cobounded2'#@#variant
0. 'hl/thm/int/INT_OF_NUM_EQ_' 'isa/nat_of_nibble_eq_iff'
0. 'hl/thm/real/REAL_ABS_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_INJ_' 'isa/exp_inj_iff'#@#variant
0. 'hl/thm/int/num_divides_' 'isa/real_less_eq_code'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nat_code_2'#@#variant
0. 'hl/thm/arith/ODD_DOUBLE_'#@#variant 'isa/abs_add_one_gt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/Library/multiplicative/REAL_ABS_MOBIUS_'#@#variant 'isa/negative_zle_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_1' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/real/REAL_ABS_INV_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nat_of_nibble.simps_4'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/nat_of_num_inc'
0. 'hl/thm/Library/rstc/RSTC_RULES_/3' 'isa/transitive_closurep_trans\'_2'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/Library/prime/INDEX_0_'#@#variant 'isa/gcd_1_int'#@#variant
0. 'hl/thm/realax/NADD_ADD_WELLDEF_' 'isa/lcm_semilattice_nat.sup.mono'#@#variant
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_'#@#variant 'isa/sin_ge_zero'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LE_EQ_' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_' 'isa/real_sqrt_less_mono'#@#variant
0. 'hl/thm/real/REAL_MUL_AC_2' 'isa/lcm_ac_int_3'#@#variant
0. 'hl/thm/arith/FACT_MONO_' 'isa/arctan_monotone\''#@#variant
0. 'hl/thm/Library/transc/ATN_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/Code_Numeral.dup_code_2'
0. 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant 'isa/minus_int_code_2'#@#variant
0. 'hl/thm/nums/IND_SUC_INJ_' 'isa/real_sqrt_eq_iff'
0. 'hl/thm/calc_int/REAL_ADD_AC_1' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/realax/NADD_LE_ADD_' 'isa/lcm_dvd1_nat'#@#variant
0. 'hl/thm/int/INT_MIN_MIN_/0' 'isa/gcd_lcm_lattice_nat.inf_sup_ord_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/abs_integer.rep_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/Int.dup_code_2'
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble_of_nat_simps_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/abs_integer.rep_eq'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_ADD_' 'isa/gcd_greatest_int'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/int_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_LE_'#@#variant 'isa/pos2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/real/REAL_ABS_ZERO_'#@#variant 'isa/arctan_eq_zero_iff'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/Real.positive_add'#@#variant
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/zero_complex.sel_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/arith/ADD_CLAUSES_0'#@#variant 'isa/nat_mult_1'#@#variant
0. 'hl/thm/calc_num/ARITH_104' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/realax/HREAL_LE_ADD2_' 'isa/mult_le_mono'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_POW_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_4'#@#variant
0. 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant 'isa/real_sqrt_less_mono'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LID_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_left'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/int/INT_MIN_ACI_1' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_NEG_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/Library/transc/SIN_BOUNDS_/1'#@#variant 'isa/arctan/1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LE_EQ_' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant 'isa/gcd_greatest_int'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/abs_integer.abs_eq'#@#variant
0. 'hl/thm/int/INT_ADD_LID_'#@#variant 'isa/lcm_nat.left_neutral'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_DIV_'#@#variant 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_LE_' 'isa/real_less_eq_code'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LZERO_'#@#variant 'isa/lcm_0_left_int'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INJ_' 'isa/nat_of_char_eq_iff'
0. 'hl/thm/int/int_ge_' 'isa/less_integer.abs_eq'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_MUL2_' 'isa/gcd_nat.mono'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LT_' 'isa/less_eq_natural.abs_eq'#@#variant
0. 'hl/thm/Library/pratt/PHI_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/int/INT_EQ_NEG2_' 'isa/nat.simps_1'
0. 'hl/thm/Library/transc/SIN_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/Library/transc/TAN_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant 'isa/gcd_semilattice_nat.inf_greatest'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/Rep_rat_inverse'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_2'#@#variant 'isa/gcd_nat.left_neutral'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/minus_nat.simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/arith/ADD_CLAUSES_0'#@#variant 'isa/arith_simps_11'#@#variant
0. 'hl/thm/arith/PRE_0'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/Library/pratt/PHI_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/real/REAL_SGN_DIV_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/int/int_of_num_' 'isa/integer_of_num.rep_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_RMUL_' 'isa/lcm_semilattice_nat.sup.coboundedI1'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_ADD_' 'isa/gcd_semilattice_nat.inf_greatest'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_DIV_'#@#variant 'isa/ln_mult'#@#variant
0. 'hl/thm/Library/rstc/TC_TRANS_R_' 'isa/transitive_closurep_trans\'_6'
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/cis_inverse'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Library/pocklington/ORDER_1_'#@#variant 'isa/mult_0_right'#@#variant
0. 'hl/thm/nums/NOT_SUC_'#@#variant 'isa/rel_simps_16'
0. 'hl/thm/int/INT_LE_LNEG_'#@#variant 'isa/real_0_less_add_iff'#@#variant
0. 'hl/thm/int/INT_MAX_ASSOC_' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/int/INT_ABS_1_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/int/INT_ADD_LID_'#@#variant 'isa/arith_simps_11'#@#variant
0. 'hl/thm/int/int_sgn_th_' 'isa/cnj.sel_2'#@#variant
0. 'hl/thm/Library/rstc/RTC_INC_RC_' 'isa/tranclp_into_rtranclp'
0. 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/minus_nat.simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/sgn_integer.abs_eq'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_ABS_' 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_DIV_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_MUL_' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant 'isa/natural.simps_3'#@#variant
0. 'hl/thm/real/REAL_INV_EQ_0_'#@#variant 'isa/csqrt_eq_0'#@#variant
0. 'hl/thm/realax/HREAL_LE_ADD2_' 'isa/add_le_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/one_int_code'#@#variant
0. 'hl/thm/int/INT_SUB_LDISTRIB_' 'isa/nat_mult_min_right'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_' 'isa/old.nat.inject'
0. 'hl/thm/real/REAL_ABS_MUL_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/Library/transc/PI_POS_'#@#variant 'isa/pi_ge_zero'#@#variant
0. 'hl/thm/int/INT_LE_01_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_5'#@#variant
0. 'hl/thm/arith/SUB_0_/0'#@#variant 'isa/lcm_0_left_int'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2' 'isa/lcm_ac_int_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_EQ_' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/nat_of_num_inc'
0. 'hl/thm/arith/PRE_1' 'isa/tan_arctan'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_NZ_'#@#variant 'isa/pi_half_neq_zero'#@#variant
0. 'hl/thm/Library/transc/SQRT_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LE_' 'isa/real_less_code'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_MONO_LE_'#@#variant 'isa/ln_less_cancel_iff'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/transfer_nat_int_numerals_3'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LT_EQ_' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/arith/EXP_ADD_' 'isa/powr_divide2'#@#variant
0. 'hl/thm/Library/poly/POLY_DIVIDES_SUB2_'#@#variant 'isa/zdvd_zdiffD'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_EQ_' 'isa/transfer_int_nat_relations_1'#@#variant
0. 'hl/thm/realax/NADD_INV_WELLDEF_' 'isa/real_sqrt_less_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant 'isa/num.simps_2'
0. 'hl/thm/int/int_abs_th_' 'isa/Suc.rep_eq'
0. 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant 'isa/num.simps_4'
0. 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant 'isa/natural.simps_1'
0. 'hl/thm/Multivariate/transcendentals/SIN_ASN_'#@#variant 'isa/arccos_cos'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/minus_int_code_1'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/nums/NOT_SUC_'#@#variant 'isa/natural.simps_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_1_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_'#@#variant 'isa/sin_gt_zero2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_25'#@#variant
0. 'hl/thm/int/int_sgn_th_' 'isa/nat_of_num_inc'
0. 'hl/thm/arith/DIV_1_'#@#variant 'isa/nat_mult_1_right'#@#variant
0. 'hl/thm/Library/transc/SQRT_INJ_'#@#variant 'isa/ln_inj_iff'#@#variant
0. 'hl/thm/Library/transc/SQRT_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/realax/NADD_LE_REFL_' 'isa/dvd.order.refl'#@#variant
0. 'hl/thm/real/REAL_ADD_RDISTRIB_' 'isa/nat_mult_max_left'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/real/REAL_LE_POW2_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_9'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/1'#@#variant 'isa/sin_le_one'#@#variant
0. 'hl/thm/Library/transc/PI_POS_'#@#variant 'isa/pi_gt_zero'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_RMUL_' 'isa/trans_le_add1'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/nat_of_integer_integer_of_nat'
0. 'hl/thm/realax/REAL_INV_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_LE_'#@#variant 'isa/cos_gt_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/realax/HREAL_LE_ADD2_' 'isa/add_less_mono'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_LE_' 'isa/less_int_code_5'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_INJ_' 'isa/old.nat.inject'
0. 'hl/thm/Library/transc/ATN_BOUNDS_/1'#@#variant 'isa/arctan_ubound'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/integer_of_nat_0'#@#variant
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/Nat.add_0_right'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_29'#@#variant
0. 'hl/thm/Library/poly/POLY_ADD_ASSOC_'#@#variant 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/int/INT_MUL_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_3'#@#variant
0. 'hl/thm/Library/transc/SIN_ZERO_'#@#variant 'isa/sin_zero_iff'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_LT_' 'isa/zle_int'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant 'isa/gcd_lcm_lattice_nat.inf_sup_aci_7'#@#variant
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_INV_MUL_'#@#variant 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_1' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble_of_nat_simps_1'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_LE_' 'isa/less_eq_integer.abs_eq'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_POW_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_4'#@#variant
0. 'hl/thm/realarith/REAL_POS_'#@#variant 'isa/less_int_code_2'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ABS_PI_' 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/real/REAL_SUB_RDISTRIB_' 'isa/nat_mult_max_left'#@#variant
0. 'hl/thm/arith/LE_0'#@#variant 'isa/le_num_One_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/real/REAL_INV_MUL_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/sgn_integer.rep_eq'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/uminus_complex.sel_2'#@#variant
0. 'hl/thm/realarith/REAL_LT_TRANS_' 'isa/dvd.order_trans'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_32'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_POW_INV_'#@#variant 'isa/real_sqrt_power'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_1_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/sgn_integer.abs_eq'#@#variant
0. 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_' 'isa/fact_ge_self'#@#variant
0. 'hl/thm/Library/transc/REAL_DIV_SQRT_'#@#variant 'isa/real_div_sqrt'#@#variant
0. 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant 'isa/powr_less_cancel_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant 'isa/arctan/2'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_5'#@#variant 'isa/sgn_le_0_iff'#@#variant
0. 'hl/thm/realax/REAL_ADD_LID_'#@#variant 'isa/gcd_nat.left_neutral'#@#variant
0. 'hl/thm/realax/TREAL_EQ_TRANS_'#@#variant 'isa/dvd.order_trans'#@#variant
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/Multivariate/transcendentals/REAL_TAN_'#@#variant 'isa/Nat.intros_2'
0. 'hl/thm/real/REAL_INV_EQ_1_'#@#variant 'isa/real_sqrt_eq_0_iff'#@#variant
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_' 'isa/num.simps_2'
0. 'hl/thm/Library/prime/LESS_EQ_0_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.bot.extremum_unique'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_0' 'isa/less_int_code_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_INJ_' 'isa/complex_cnj_cancel_iff'
0. 'hl/thm/calc_num/ARITH_44' 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/int/INT_LT_01_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_6'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/calc_num/ARITH_40' 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/int/INT_LT_01_'#@#variant 'isa/Nat.intros_1'
0. 'hl/thm/realax/REAL_ADD_LDISTRIB_' 'isa/int_distrib_4'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_11'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ABS_PI_' 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble_of_nat_simps_4'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_7'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_EQ_0_'#@#variant 'isa/Re_complex_div_eq_0'#@#variant
0. 'hl/thm/nums/IND_SUC_0_' 'isa/old.nat.simps_2'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/arith/TWO_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nat_1'#@#variant
0. 'hl/thm/realax/REAL_ADD_LID_'#@#variant 'isa/plus_integer_code_2'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LE_' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_3'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_CX_' 'isa/complex_cnj_numeral'#@#variant
0. 'hl/thm/int/INT_LT_IMP_NE_' 'isa/less_not_refl3'#@#variant
0. 'hl/thm/arith/LT_TRANS_' 'isa/le_trans'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/Multivariate/metric/EVENTUALLY_MONO_' 'isa/frequently_elim1'
0. 'hl/thm/Library/pocklington/PHI_1_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/int/INT_ADD_LDISTRIB_' 'isa/nat_distrib_2'#@#variant
0. 'hl/thm/lists/MONO_ALL_' 'isa/frequently_elim1'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/transfer_nat_int_numerals_2'#@#variant
0. 'hl/thm/calc_num/ARITH_95' 'isa/rel_simps_12'#@#variant
0. 'hl/thm/Library/prime/LESS_EQ_0_'#@#variant 'isa/nat_dvd_1_iff_1'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_MUL2_' 'isa/lcm_semilattice_nat.sup_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nat_1'#@#variant
0. 'hl/thm/Library/transc/REAL_LE_RSQRT_'#@#variant 'isa/real_less_rsqrt'#@#variant
0. 'hl/thm/Library/rstc/RSTC_RULES_/3' 'isa/transitive_closurep_trans\'_1'
0. 'hl/thm/realax/NADD_LE_0_'#@#variant 'isa/less_eq_nat.simps_1'#@#variant
0. 'hl/thm/Library/poly/poly_neg_'#@#variant 'isa/sqrt_def'#@#variant
0. 'hl/thm/int/INT_ABS_1_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Library/transc/SIN_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LT_' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/Library/transc/SQRT_MONO_LE_EQ_'#@#variant 'isa/ln_less_cancel_iff'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_EQ_' 'isa/Rep_Nat_inject'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/binomial_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_SUB_' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/realax/NADD_OF_NUM_LE_' 'isa/zle_int'#@#variant
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/Code_Numeral.dup_code_3'
0. 'hl/thm/calc_num/ARITH_86' 'isa/rel_simps_12'#@#variant
0. 'hl/thm/realax/NADD_OF_NUM_LE_' 'isa/real_less_code'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_5'#@#variant
0. 'hl/thm/real/REAL_SUB_RDISTRIB_' 'isa/nat_add_max_left'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/sgn_integer.rep_eq'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nat_of_num_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/abs_integer.abs_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LDISTRIB_' 'isa/nat_add_max_right'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PERIODIC_PI_' 'isa/sin_periodic_pi'#@#variant
0. 'hl/thm/Library/prime/PRIME_0_'#@#variant 'isa/Real.positive_zero'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GE_' 'isa/zless_int'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/int/int_sgn_th_' 'isa/Suc.abs_eq'
0. 'hl/thm/int/INT_SUB_LDISTRIB_' 'isa/nat_distrib_2'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/zero_natural_def'#@#variant
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/binomial_1'#@#variant
0. 'hl/thm/arith/EXP_ONE_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_left'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LDISTRIB_' 'isa/nat_mult_max_right'#@#variant
0. 'hl/thm/arith/LT_MULT2_' 'isa/add_less_mono'#@#variant
0. 'hl/thm/Library/transc/SQRT_POS_LE_'#@#variant 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/real/REAL_LE_LCANCEL_IMP_'#@#variant 'isa/nat_power_less_imp_less'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/transfer_nat_int_numerals_3'#@#variant
0. 'hl/thm/real/REAL_EQ_INV2_' 'isa/natural.simps_1'
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/zero_complex.sel_2'#@#variant
0. 'hl/thm/calc_num/ARITH_75' 'isa/rel_simps_12'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant 'isa/minus_integer_code_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/real_inverse_code'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GE_' 'isa/real_less_eq_code'#@#variant
0. 'hl/thm/arith/MULT_EQ_1_'#@#variant 'isa/gcd_zero_int'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_0'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_5'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant 'isa/pi_half_le_two'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/Int.dup_code_2'
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/zero_complex.sel_1'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_INJ_' 'isa/num.simps_2'
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LE_EQ_' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_' 'isa/Suc_Rep_inject\''
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/calc_num/ARITH_0'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/int/INT_SGN_MUL_' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_LE_'#@#variant 'isa/less_eq_int_code_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_INV_' 'isa/complex_cnj_cnj'
0. 'hl/thm/real/REAL_DIV_EQ_0_'#@#variant 'isa/lcm_0_iff_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/int/INT_LT_01_'#@#variant 'isa/pos2'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/int_1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_10'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/integer_of_nat_0'#@#variant
0. 'hl/thm/arith/ADD_SUC_' 'isa/add_inc'#@#variant
0. 'hl/thm/arith/ADD_CLAUSES_0'#@#variant 'isa/max_0L'#@#variant
0. 'hl/thm/calc_num/ARITH_66' 'isa/rel_simps_12'#@#variant
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/realax/HREAL_INV_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/calc_num/ARITH_44' 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/Library/poly/POLY_DIVIDES_TRANS_'#@#variant 'isa/dvd.dual_order.trans'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/Rep_int_inverse'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/abs_integer.rep_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/natural_of_integer_of_natural'
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/Library/rstc/TC_INC_' 'isa/r_into_rtranclp'
0. 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant 'isa/Suc_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PERIODIC_PI_' 'isa/sin_minus_pi'#@#variant
0. 'hl/thm/real/REAL_NEG_EQ_0_'#@#variant 'isa/real_sqrt_eq_0_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_40' 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/arith/SUB_0_/0'#@#variant 'isa/lcm_0_left_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_LT_X_'#@#variant 'isa/ln_bound'#@#variant
0. 'hl/thm/arith/MULT_EQ_1_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.bot_eq_sup_iff'#@#variant
0. 'hl/thm/real/REAL_INV_1_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/int/INT_SGN_MUL_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LZERO_'#@#variant 'isa/times_integer_code_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_MUL_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_7'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_TAN_'#@#variant 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GE_' 'isa/less_int_code_5'#@#variant
0. 'hl/thm/Library/rstc/RSTC_IDEMP_' 'isa/rtranclp_idemp'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LDISTRIB_' 'isa/nat_distrib_2'#@#variant
0. 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant 'isa/zless_int'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_MUL_CX_/1'#@#variant 'isa/Im_divide_of_real'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_INJ_' 'isa/Suc_Rep_inject\''
0. 'hl/thm/Library/rstc/RTC_TRANS_' 'isa/transitive_closurep_trans\'_2'
0. 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/arith/ADD1_'#@#variant 'isa/add_One_commute'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_RMUL_' 'isa/trans_less_add1'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_DIV_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_NEG_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Library/transc/ATN_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Library/transc/TAN_POS_PI2_'#@#variant 'isa/cos_gt_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_9'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_13'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/Multivariate/vectors/VECTOR_ADD_ASSOC_'#@#variant 'isa/append_assoc'
0. 'hl/thm/int/int_lt_' 'isa/transfer_int_nat_relations_2'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_INJ_' 'isa/rel_simps_20'
0. 'hl/thm/int/INT_MIN_ACI_3' 'isa/gcd_idem_nat'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_LE_' 'isa/less_integer_code_5'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/Suc.rep_eq'
0. 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_'#@#variant 'isa/tan_pos_pi2_le'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/Int.dup_code_2'
0. 'hl/thm/Library/floor/INTEGER_CLOSED_6' 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/real/REAL_ABS_DIV_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_5' 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/binomial_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant 'isa/gcd_1_nat'#@#variant
0. 'hl/thm/nums/NOT_SUC_'#@#variant 'isa/Suc_Rep_not_Zero_Rep'
0. 'hl/thm/Library/transc/ATN_MONO_LT_EQ_' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/int/INT_SUB_LT_'#@#variant 'isa/zero_less_binomial_iff'#@#variant
0. 'hl/thm/int/INT_LT_TRANS_' 'isa/le_trans'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_LMUL_' 'isa/dvd_lcm_I2_nat'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/cis_zero'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_ABS_' 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_NEG_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/arith/FACT_LT_'#@#variant 'isa/exp_gt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_' 'isa/num.simps_1'
0. 'hl/thm/real/REAL_LT_RMUL_'#@#variant 'isa/zdiv_mono1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_' 'isa/complex_cnj_cancel_iff'
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/Rep_int_inverse'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_NEG_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/int/INT_ABS_NUM_' 'isa/complex_cnj_of_nat'#@#variant
0. 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant 'isa/nat_mult_less_cancel1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/pow.simps_1'
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CNJ_'#@#variant 'isa/complex_mod_cnj'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_1_'#@#variant 'isa/less_eq_nat.simps_1'#@#variant
0. 'hl/thm/Library/pratt/PHI_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_4'#@#variant 'isa/csqrt_eq_1'#@#variant
0. 'hl/thm/Library/transc/LN_EXP_' 'isa/arctan/2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_27'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/real/REAL_MUL_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_7'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/real/REAL_INV_1_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/int/INT_ADD_LID_'#@#variant 'isa/plus_nat.simps_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant 'isa/plus_nat.simps_1'#@#variant
0. 'hl/thm/arith/LEFT_SUB_DISTRIB_' 'isa/nat_distrib_2'#@#variant
0. 'hl/thm/realax/REAL_LE_TRANS_' 'isa/dvd.dual_order.trans'#@#variant
0. 'hl/thm/arith/TWO_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_' 'isa/add_inc'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/Library/transc/SQRT_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/plus_int_code_1'#@#variant
0. 'hl/thm/arith/RIGHT_SUB_DISTRIB_' 'isa/nat_mult_min_left'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/int_Suc'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_'#@#variant 'isa/cos_gt_zero'#@#variant
0. 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant 'isa/real_mult_le_cancel_iff1'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_EXP_' 'isa/div_le_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant 'isa/zmult_zless_mono2'#@#variant
0. 'hl/thm/arith/MULT_0_'#@#variant 'isa/lcm_0_nat'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_2_'#@#variant 'isa/pi_ge_zero'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_EQ_0_'#@#variant 'isa/complex_cnj_zero_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant 'isa/gcd_ac_int_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_5'#@#variant 'isa/arctan_le_zero_iff'#@#variant
0. 'hl/thm/realax/HREAL_INV_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/real/REAL_LT_SUB_LADD_' 'isa/le_diff_conv'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ROOT_DIV_' 'isa/real_root_mult'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant 'isa/old.nat.simps_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant 'isa/rel_simps_16'
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/unit.size_1'#@#variant
0. 'hl/thm/int/INT_MUL_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_20'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_NZ_'#@#variant 'isa/sumbool.simps_2'
0. 'hl/thm/Library/rstc/RC_IDEMP_' 'isa/rtranclp_idemp'
0. 'hl/thm/Multivariate/transcendentals/ARG_/1'#@#variant 'isa/less_eq_integer_code_7'#@#variant
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/real/REAL_ABS_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/trivia/one_INDUCT_' 'isa/unit.induct'
0. 'hl/thm/int/INT_MIN_ACI_1' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/sgn_integer.abs_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PERIODIC_'#@#variant 'isa/cot_periodic'#@#variant
0. 'hl/thm/real/REAL_SGN_POW_' 'isa/complex_cnj_power'#@#variant
0. 'hl/thm/int/INT_MIN_ACI_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/arith/FACT_LE_'#@#variant 'isa/cos_ge_minus_one'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/minus_nat.simps_1'#@#variant
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/real_inverse_code'#@#variant
0. 'hl/thm/arith/ADD_0_'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/Library/rstc/STC_TRANS_' 'isa/transitive_closurep_trans\'_1'
0. 'hl/thm/Multivariate/transcendentals/RPOW_DIV_' 'isa/nat_distrib_1'#@#variant
0. 'hl/thm/arith/ADD_0_'#@#variant 'isa/minus_int_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_LE_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_6'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_0'#@#variant 'isa/pos2'#@#variant
0. 'hl/thm/realax/REAL_ADD_LDISTRIB_' 'isa/nat_add_max_right'#@#variant
0. 'hl/thm/arith/FACT_LE_'#@#variant 'isa/zero_less_Suc'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_2'#@#variant 'isa/plus_int_code_2'#@#variant
0. 'hl/thm/real/REAL_LT_POW2_'#@#variant 'isa/less_eq_int_code_2'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LE_' 'isa/less_eq_natural.abs_eq'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/int/INT_EQ_NEG2_' 'isa/exp_inj_iff'#@#variant
0. 'hl/thm/Library/transc/COS_BOUND_'#@#variant 'isa/abs_cos_le_one'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_8'#@#variant 'isa/real_sqrt_le_0_iff'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_ADD_' 'isa/gcd_greatest_nat'#@#variant
0. 'hl/thm/Library/analysis/SUB_OLD_0'#@#variant 'isa/lcm_0_left_int'#@#variant
0. 'hl/thm/arith/LT_ADD2_' 'isa/lcm_semilattice_nat.sup.mono'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_5'#@#variant
0. 'hl/thm/int/INT_ABS_1_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_LE_' 'isa/less_int_code_5'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/natural_of_integer_of_natural'
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/uminus_complex.sel_2'#@#variant
0. 'hl/thm/Library/transc/ATN_BOUNDS_/1'#@#variant 'isa/arctan/1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/real/REAL_LE_LADD_' 'isa/nat_add_left_cancel_less'#@#variant
0. 'hl/thm/real/REAL_INV_EQ_1_'#@#variant 'isa/csqrt_eq_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/Library/pocklington/ORDER_1_'#@#variant 'isa/lcm_0_int'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_4'#@#variant 'isa/real_sqrt_eq_1_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ABS_PI_' 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/int/INT_OF_NUM_EQ_' 'isa/nat_of_natural_inject'
0. 'hl/thm/int/num_divides_' 'isa/transfer_int_nat_relations_3'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/sin_coeff_0'#@#variant
0. 'hl/thm/real/REAL_MIN_MIN_/0' 'isa/div_le_dividend'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/norm_ii'#@#variant
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/real/REAL_EQ_NEG2_' 'isa/Suc_Rep_inject\''
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/cis_inverse'#@#variant
0. 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant 'isa/nat_mult_dvd_cancel1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_' 'isa/natural.simps_1'
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/arith/SUB_0'#@#variant 'isa/minus_int_code_1'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_INV_RPOW_' 'isa/plus_nat.simps_2'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_GT_0_'#@#variant 'isa/complex_div_gt_0/0'#@#variant
0. 'hl/thm/int/INT_SGN_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/sgn_integer.rep_eq'#@#variant
0. 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant 'isa/min_0R'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ABS_PI_' 'isa/csqrt_1'#@#variant
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/real/REAL_ABS_SGN_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/Library/floor/FLOOR_FRAC_/2'#@#variant 'isa/arctan_bounded/1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_GE_0_'#@#variant 'isa/complex_div_gt_0/1'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/Multivariate/transcendentals/LOG_POS_'#@#variant 'isa/le_imp_0_less'#@#variant
0. 'hl/thm/int/INT_SGN_MUL_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/pow.simps_1'
0. 'hl/thm/Multivariate/transcendentals/ATN_TAN_' 'isa/ln_exp'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant 'isa/nat_mult_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_MUL_'#@#variant 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/nums/NUM_REP_RULES_0' 'isa/pi_half_ge_zero'#@#variant
0. 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant 'isa/arctan_monotone\''#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant 'isa/Rep_int_inject'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_EQ_0_'#@#variant 'isa/arctan_eq_zero_iff'#@#variant
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant 'isa/rel_simps_17'
0. 'hl/thm/arith/RIGHT_ADD_DISTRIB_' 'isa/int_distrib_3'#@#variant
0. 'hl/thm/arith/SUB_0'#@#variant 'isa/Nat.add_0_right'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nat_1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_5'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LE_EQ_' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_ONE_'#@#variant 'isa/le_num_One_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_NEG_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/arith/LEFT_SUB_DISTRIB_' 'isa/nat_add_max_right'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/cos_coeff_0'#@#variant
0. 'hl/thm/int/INT_MIN_MIN_/0' 'isa/div_le_dividend'#@#variant
0. 'hl/thm/Library/prime/INDEX_0_'#@#variant 'isa/min_0R'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI_LE_'#@#variant 'isa/sin_gt_zero'#@#variant
0. 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/Nat.add_0_right'#@#variant
0. 'hl/thm/int/INT_MAX_MAX_/1' 'isa/lcm_dvd2_int'#@#variant
0. 'hl/thm/arith/MULT_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/char_of_nat_of_char'
0. 'hl/thm/Library/floor/INTEGER_CLOSED_0' 'isa/zero_zle_int'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/cnj.sel_2'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_ADD_' 'isa/dvd_diff_nat'#@#variant
0. 'hl/thm/int/INT_MUL_RZERO_'#@#variant 'isa/gcd_1_int'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/sgn_integer.abs_eq'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_6'#@#variant 'isa/arctan_less_zero_iff'#@#variant
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_POW_MUL_'#@#variant 'isa/gcd_exp_int'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/one_integer_code'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/minus_int_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_BOUNDS_/1'#@#variant 'isa/cos_le_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/abs_integer.abs_eq'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_8'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_LE_'#@#variant 'isa/tan_gt_zero'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/of_nat_of_natural'#@#variant
0. 'hl/thm/arith/PRE_1' 'isa/ln_exp'#@#variant
0. 'hl/thm/Library/transc/TAN_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/int/int_lt_' 'isa/transfer_int_nat_relations_3'#@#variant
0. 'hl/thm/arith/EVEN_DOUBLE_'#@#variant 'isa/exp_gt_zero'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_EQ_' 'isa/int_int_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_NEG_' 'isa/complex_cnj_cnj'
0. 'hl/thm/Library/pratt/PHI_1_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_POS_LT_'#@#variant 'isa/exp_ge_zero'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_MUL_R_' 'isa/add_le_mono1'#@#variant
0. 'hl/thm/real/REAL_LT_01_'#@#variant 'isa/pi_half_ge_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/Int.dup_code_3'
0. 'hl/thm/realax/TREAL_LE_TRANS_'#@#variant 'isa/dvd.order_trans'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LDISTRIB_' 'isa/nat_distrib_4'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/zero_integer_def'#@#variant
0. 'hl/thm/realax/REAL_ADD_LID_'#@#variant 'isa/plus_int_code_2'#@#variant
0. 'hl/thm/real/REAL_SGN_NEG_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/arith/FACT_NZ_'#@#variant 'isa/Zero_not_Suc'#@#variant
0. 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant 'isa/exp_less_mono'#@#variant
0. 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble_of_nat_simps_4'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/real/REAL_NEG_EQ_0_'#@#variant 'isa/csqrt_eq_0'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_LZERO_'#@#variant 'isa/times_int_code_2'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_6'#@#variant 'isa/real_sqrt_lt_1_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_7' 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_16'#@#variant
0. 'hl/thm/real/REAL_INV_EQ_0_'#@#variant 'isa/csqrt_eq_1'#@#variant
0. 'hl/thm/calc_num/ARITH_97' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Library/analysis/POW_MUL_' 'isa/gcd_exp_int'#@#variant
0. 'hl/thm/calc_num/ARITH_94' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_INJ_' 'isa/real_sqrt_eq_iff'
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_' 'isa/real_sqrt_less_mono'#@#variant
0. 'hl/thm/calc_num/ARITH_1' 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_LE_' 'isa/less_natural.abs_eq'#@#variant
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/pow.simps_1'
0. 'hl/thm/Multivariate/complexes/IM_MUL_CX_/1'#@#variant 'isa/Re_divide_of_real'#@#variant
0. 'hl/thm/real/REAL_EQ_NEG2_' 'isa/old.nat.inject'
0. 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant 'isa/arctan_minus'#@#variant
0. 'hl/thm/int/INT_MUL_ASSOC_' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/Multivariate/metric/EVENTUALLY_MONO_' 'isa/frequently_mono'
0. 'hl/thm/Multivariate/transcendentals/TAN_COT_'#@#variant 'isa/sin_2pi_minus'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/uminus_complex.sel_2'#@#variant
0. 'hl/thm/real/REAL_SGN_MUL_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/int/INT_LE_01_'#@#variant 'isa/Nat.intros_1'
0. 'hl/thm/calc_num/ARITH_88' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_POS_LT_'#@#variant 'isa/zero_less_Suc'#@#variant
0. 'hl/thm/calc_num/ARITH_87' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/Library/transc/SQRT_POS_LT_'#@#variant 'isa/Nat.intros_2'
0. 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant 'isa/STR_inject\''#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/realax/NADD_OF_NUM_LE_' 'isa/transfer_int_nat_relations_3'#@#variant
0. 'hl/thm/calc_num/ARITH_84' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/arith/MULT_0_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_right'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LDISTRIB_' 'isa/nat_distrib_4'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_14'#@#variant
0. 'hl/thm/Library/transc/ATN_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/Int.dup_code_3'
0. 'hl/thm/Library/transc/ATN_MONO_LE_EQ_' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_29'#@#variant
0. 'hl/thm/int/INT_ADD_RDISTRIB_' 'isa/min_diff'#@#variant
0. 'hl/thm/arith/LT_0_'#@#variant 'isa/cos_ge_minus_one'#@#variant
0. 'hl/thm/Library/transc/SQRT_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant 'isa/old.nat.simps_2'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant 'isa/gcd_semilattice_nat.inf_greatest'#@#variant
0. 'hl/thm/nums/BIT0_DEF_1' 'isa/sqr.simps_2'
0. 'hl/thm/arith/LT_SUC_' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_5'#@#variant 'isa/real_sqrt_lt_0_iff'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RDISTRIB_' 'isa/nat_mult_max_left'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LE_' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_78' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/arith/MULT_0'#@#variant 'isa/min_0L'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/calc_num/ARITH_77' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant 'isa/gcd_Suc_0'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/zero_natural_def'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GT_' 'isa/transfer_int_nat_relations_2'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GT_' 'isa/real_less_code'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_NEG_' 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_2'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_left'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/int/int_eq_' 'isa/transfer_int_nat_relations_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_DIV_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/calc_num/ARITH_74' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/Library/analysis/REAL_DIV_LZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_left'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_LE_' 'isa/zle_int'#@#variant
0. 'hl/thm/arith/EXP_ONE_'#@#variant 'isa/times_integer_code_2'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_LE_' 'isa/real_less_code'#@#variant
0. 'hl/thm/nums/SUC_INJ_' 'isa/num.simps_1'
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_17'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant 'isa/num.simps_6'
0. 'hl/thm/Library/transc/TAN_POS_PI2_'#@#variant 'isa/sin_gt_zero_02'#@#variant
0. 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant 'isa/nat_of_nibble_eq_iff'
0. 'hl/thm/calc_num/ARITH_52' 'isa/csqrt_eq_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/Library/pocklington/PHI_EQ_0_'#@#variant 'isa/csqrt_eq_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_50' 'isa/csqrt_eq_1'#@#variant
0. 'hl/thm/Library/rstc/STC_TRANS_L_' 'isa/rtranclp.intros_2'
0. 'hl/thm/Library/transc/TAN_PERIODIC_NPI_' 'isa/tan_periodic_n'#@#variant
0. 'hl/thm/calc_num/ARITH_68' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/realax/HREAL_ADD_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LE_EQ_' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_67' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/int/INT_SUB_RDISTRIB_' 'isa/min_diff'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/Suc.rep_eq'
0. 'hl/thm/real/REAL_MIN_ACI_2' 'isa/gcd_ac_nat_3'#@#variant
0. 'hl/thm/calc_num/ARITH_64' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/int/INT_SGN_MUL_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_14'#@#variant
0. 'hl/thm/int/int_of_num_' 'isa/int_of_integer_of_nat'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/transfer_int_nat_numerals_3'#@#variant
0. 'hl/thm/realax/HREAL_MUL_LZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_left'#@#variant
0. 'hl/thm/arith/LE_ADD2_' 'isa/gcd_nat.mono'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LT_' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_MUL2_' 'isa/lcm_semilattice_nat.sup.mono'#@#variant
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/calc_num/ARITH_58' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_BOUNDS_/1'#@#variant 'isa/arctan/1'#@#variant
0. 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LT_' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/nums/BIT0_DEF_0'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/char_of_nat_of_char'
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/Suc.rep_eq'
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/char_of_nat_of_char'
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ABS_PI_' 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/num.size_1'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/nat_int'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_CX_' 'isa/complex_cnj_complex_of_real'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/real/REAL_ABS_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/int/INT_LT_01_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_7'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_LT_0_'#@#variant 'isa/Re_complex_div_lt_0'#@#variant
0. 'hl/thm/Library/floor/FLOOR_FRAC_/0' 'isa/zero_less_Suc'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_9'#@#variant
0. 'hl/thm/arith/PRE_1' 'isa/arctan/2'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_MUL_R_' 'isa/add_less_mono1'#@#variant
0. 'hl/thm/calc_num/ARITH_93' 'isa/arctan/1'#@#variant
0. 'hl/thm/int/INT_MUL_LZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_left'#@#variant
0. 'hl/thm/Library/transc/SQRT_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/real/REAL_INV_POW_' 'isa/complex_cnj_power'#@#variant
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant 'isa/times_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nat_of_num_code_1'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_TRANS_' 'isa/dvd.dual_order.trans'#@#variant
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/binomial_1'#@#variant
0. 'hl/thm/int/int_sgn_th_' 'isa/real_inverse_code'#@#variant
0. 'hl/thm/int/int_le_' 'isa/transfer_int_nat_relations_2'#@#variant
0. 'hl/thm/arith/LT_SUC_' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/int/num_divides_' 'isa/transfer_int_nat_relations_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_2'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_5'#@#variant 'isa/real_sqrt_le_1_iff'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_3' 'isa/lcm_nat.idem'#@#variant
0. 'hl/thm/calc_num/ARITH_9' 'isa/inc.simps_2'
0. 'hl/thm/real/REAL_MIN_MIN_/0' 'isa/gcd_lcm_lattice_nat.inf_sup_ord_1'#@#variant
0. 'hl/thm/calc_num/ARITH_83' 'isa/arctan/1'#@#variant
0. 'hl/thm/realarith/REAL_POS_'#@#variant 'isa/Nat_Rep_Nat'
0. 'hl/thm/calc_num/ARITH_82' 'isa/arctan/1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/sgn_integer.abs_eq'#@#variant
0. 'hl/thm/calc_num/ARITH_4' 'isa/inc.simps_2'
0. 'hl/thm/real/REAL_MAX_ACI_2' 'isa/gcd_ac_int_3'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/arith/ADD_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/Library/floor/INTEGER_NEG_' 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_SIN_'#@#variant 'isa/arctan_tan'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/Suc.abs_eq'
0. 'hl/thm/Library/transc/LN_MONO_LE_'#@#variant 'isa/ln_le_cancel_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/int_1'#@#variant
0. 'hl/thm/Library/analysis/LESS_SUC_' 'isa/le_SucI'#@#variant
0. 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant 'isa/ln_ge_zero'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_' 'isa/add_lessD1'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_ADD_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/Library/transc/SQRT_MONO_LE_EQ_'#@#variant 'isa/ln_le_cancel_iff'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_12'#@#variant
0. 'hl/thm/int/INT_LT_ADD2_' 'isa/mult_le_mono'#@#variant
0. 'hl/thm/Library/analysis/REAL_DIV_LZERO_'#@#variant 'isa/diff_0_eq_0'#@#variant
0. 'hl/thm/nums/IND_SUC_INJ_' 'isa/rel_simps_20'
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_28'#@#variant
0. 'hl/thm/arith/MULT_EXP_' 'isa/nat_mult_min_left'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/real/REAL_SUB_LDISTRIB_' 'isa/nat_mult_min_right'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/uminus_integer.rep_eq'#@#variant
0. 'hl/thm/Library/transc/SQRT_MONO_LT_'#@#variant 'isa/fact_less_mono_nat'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_5'#@#variant 'isa/real_sqrt_lt_1_iff'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LID_'#@#variant 'isa/gcd_0_left_nat'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant 'isa/gcd_0_left_int'#@#variant
0. 'hl/thm/Library/rstc/RTC_TRANS_R_' 'isa/transitive_closurep_trans\'_4'
0. 'hl/thm/arith/ADD_AC_1' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_INV_'#@#variant 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/one_natural.rep_eq'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/binomial_1'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant 'isa/lcm_ac_nat_3'#@#variant
0. 'hl/thm/Library/pratt/PHI_PRIME_'#@#variant 'isa/powr_half_sqrt'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/int/INT_SUB_RDISTRIB_' 'isa/nat_mult_max_left'#@#variant
0. 'hl/thm/nums/BIT0_DEF_0'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INJ_' 'isa/Rep_rat_inject'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_ONE_'#@#variant 'isa/times_nat.simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant 'isa/real_less_eq_code'#@#variant
0. 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant 'isa/nat_of_natural_inject'
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/arith/LEFT_ADD_DISTRIB_' 'isa/nat_add_max_right'#@#variant
0. 'hl/thm/int/INT_LE_DISCRETE_'#@#variant 'isa/zle_diff1_eq'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_' 'isa/add_le_mono1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant 'isa/inverse_sgn'#@#variant
0. 'hl/thm/int/INT_EQ_MUL_LCANCEL_'#@#variant 'isa/mult_cancel1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_20'#@#variant
0. 'hl/thm/int/int_sgn_th_' 'isa/Int.dup_code_3'
0. 'hl/thm/arith/FACT_LE_'#@#variant 'isa/sin_ge_minus_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/uminus_complex.sel_2'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/natural.size_1'#@#variant
0. 'hl/thm/arith/MULT_0'#@#variant 'isa/power_Suc_0'#@#variant
0. 'hl/thm/Library/transc/PI2_BOUNDS_0'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_6'#@#variant
0. 'hl/thm/iterate/MONOIDAL_REAL_ADD_' 'isa/lcm_nat.semilattice_axioms'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/int_Suc'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_LE_0_'#@#variant 'isa/Re_complex_div_lt_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PERIODIC_PI_' 'isa/sin_periodic'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_NEG_' 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ARG_/1'#@#variant 'isa/less_int_code_7'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_3'#@#variant
0. 'hl/thm/real/REAL_ABS_POS_'#@#variant 'isa/cos_ge_minus_one'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/transfer_int_nat_numerals_3'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/zero_integer_def'#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/uminus_integer.abs_eq'#@#variant
0. 'hl/thm/int/num_divides_' 'isa/less_natural.abs_eq'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LT_' 'isa/less_integer.abs_eq'#@#variant
0. 'hl/thm/Library/analysis/REAL_10_'#@#variant 'isa/pi_neq_zero'#@#variant
0. 'hl/thm/realax/NADD_LE_ADD_' 'isa/lcm_semilattice_nat.sup.cobounded1'#@#variant
0. 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant 'isa/powr_le_cancel_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant 'isa/int_of_integer_inject'
0. 'hl/thm/real/REAL_EQ_INV2_' 'isa/Suc_Rep_inject\''
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/nat_of_natural_of_nat_inverse'
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/integer_of_int_int_of_integer'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/natural.size_1'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI2_'#@#variant 'isa/sin_gt_zero2'#@#variant
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RDISTRIB_' 'isa/int_distrib_3'#@#variant
0. 'hl/thm/calc_num/ARITH_6' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_1_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_'#@#variant 'isa/sin_gt_zero'#@#variant
0. 'hl/thm/calc_num/ARITH_2' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_23'#@#variant
0. 'hl/thm/int/INT_LE_TRANS_' 'isa/dvd.dual_order.trans'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/Code_Numeral.dup_code_3'
0. 'hl/thm/iterate/POLYNOMIAL_FUNCTION_o_' 'isa/subseq_o'
0. 'hl/thm/Library/transc/REAL_EXP_POS_LT_'#@#variant 'isa/cos_ge_minus_one'#@#variant
0. 'hl/thm/Library/transc/COS_BOUNDS_/0'#@#variant 'isa/cos_ge_minus_one'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LDISTRIB_' 'isa/nat_add_max_right'#@#variant
0. 'hl/thm/Library/transc/SQRT_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI_LE_'#@#variant 'isa/cos_gt_zero'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_' 'isa/mult_le_mono1'#@#variant
0. 'hl/thm/int/int_gt_' 'isa/less_eq_integer_code_5'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_COT_'#@#variant 'isa/sin_periodic_pi2'#@#variant
0. 'hl/thm/nums/BIT0_DEF_0'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/int/INT_LT_01_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_5'#@#variant
0. 'hl/thm/Library/floor/FLOOR_FRAC_/2'#@#variant 'isa/sin_le_one'#@#variant
0. 'hl/thm/Library/rstc/RC_REFL_' 'isa/rtranclp.intros_1'
0. 'hl/thm/ind_types/option_INDUCT_' 'isa/option.induct'
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/minus_int_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_GE_0_'#@#variant 'isa/Im_complex_div_gt_0'#@#variant
0. 'hl/thm/int/INT_EQ_NEG2_' 'isa/old.nat.inject'
0. 'hl/thm/real/REAL_INV_NEG_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/calc_num/ARITH_5' 'isa/BitM.simps_3'
0. 'hl/thm/Library/transc/TAN_PERIODIC_PI_' 'isa/cot_periodic'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_1'#@#variant 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/real/REAL_LT_LADD_IMP_' 'isa/mult_le_mono2'#@#variant
0. 'hl/thm/int/INT_MUL_LZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_left'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/Library/transc/PI_POS_'#@#variant 'isa/pi_half_ge_zero'#@#variant
0. 'hl/thm/iterate/MONOIDAL_REAL_MUL_' 'isa/gcd_nat.semilattice_axioms'#@#variant
0. 'hl/thm/nums/BIT1_DEF_' 'isa/inc.simps_2'
0. 'hl/thm/Multivariate/transcendentals/PI_POS_'#@#variant 'isa/pi_half_gt_zero'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Multivariate/transcendentals/COS_ASN_'#@#variant 'isa/sin_arccos'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant 'isa/lcm_nat.left_neutral'#@#variant
0. 'hl/thm/real/REAL_INV_MUL_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/arith/ADD1_'#@#variant 'isa/add_One'#@#variant
0. 'hl/thm/real/REAL_MAX_MAX_/0' 'isa/lcm_dvd1_int'#@#variant
0. 'hl/thm/arith/EVEN_DOUBLE_'#@#variant 'isa/sin_ge_minus_one'#@#variant
0. 'hl/thm/Library/analysis/NOT_LESS_0_'#@#variant 'isa/rel_simps_8'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/one_natural_def'#@#variant
0. 'hl/thm/nums/NOT_SUC_'#@#variant 'isa/rel_simps_18'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/nat_mult_1_right'#@#variant
0. 'hl/thm/Library/floor/FLOOR_FRAC_/0' 'isa/exp_gt_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/ii_'#@#variant 'isa/one_rat_def'#@#variant
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant 'isa/lcm_0_nat'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_1_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant 'isa/gcd_1_nat'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LID_'#@#variant 'isa/lcm_nat.left_neutral'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_ADD_' 'isa/gcd_nat.boundedI'#@#variant
0. 'hl/thm/Library/transc/PI_POS_'#@#variant 'isa/pi_half_gt_zero'#@#variant
0. 'hl/thm/Library/transc/SQRT_1_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LT_' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_SUB_' 'isa/gcd_greatest_nat'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_RMUL_' 'isa/dvd_lcm_I1_nat'#@#variant
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant 'isa/le_imp_0_less'#@#variant
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/int_Suc'#@#variant
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_30'#@#variant
0. 'hl/thm/realax/HREAL_ADD_AC_1' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_ASSOC_' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_COS_'#@#variant 'isa/sin_arcsin'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_INJ_' 'isa/exp_inj_iff'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_4'#@#variant 'isa/csqrt_eq_0'#@#variant
0. 'hl/thm/real/REAL_EQ_INV2_' 'isa/old.nat.inject'
0. 'hl/thm/Library/transc/ATN_TAN_' 'isa/tan_arctan'#@#variant
0. 'hl/thm/int/INT_ABS_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/trivia/I_DEF_' 'isa/BNF_Composition.id_bnf_def'
0. 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant 'isa/log_one'#@#variant
0. 'hl/thm/wf/WF_num_' 'isa/rat_equivp'#@#variant
0. 'hl/thm/real/REAL_LT_INV_'#@#variant 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/realax/HREAL_INV_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RE_CASN_BOUNDS_/0'#@#variant 'isa/Re_csqrt'#@#variant
0. 'hl/thm/calc_num/ARITH_92' 'isa/real_sqrt_le_1_iff'#@#variant
0. 'hl/thm/int/INT_LE_LADD_' 'isa/nat_add_left_cancel_le'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_' 'isa/arctan_monotone\''#@#variant
0. 'hl/thm/int/INT_LE_MUL_EQ_1'#@#variant 'isa/pos_imp_zdiv_nonneg_iff'#@#variant
0. 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant 'isa/add_less_mono1'#@#variant
0. 'hl/thm/Library/poly/POLY_CMUL_POLY_DIFF_'#@#variant 'isa/real_root_inverse'#@#variant
0. 'hl/thm/Library/pratt/PHI_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/int/int_le_' 'isa/transfer_int_nat_relations_3'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/Suc.rep_eq'
0. 'hl/thm/int/INT_MUL_AC_2' 'isa/gcd_ac_nat_3'#@#variant
0. 'hl/thm/nums/BIT0_DEF_0'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NEG_EQ_' 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_INJ_' 'isa/Suc_Rep_inject\''
0. 'hl/thm/int/INT_MUL_LID_'#@#variant 'isa/plus_int_code_2'#@#variant
0. 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_8'#@#variant 'isa/sgn_le_0_iff'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/Zero_nat_def'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/int/INT_ADD_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_3'#@#variant
0. 'hl/thm/int/INT_EQ_SUB_LADD_' 'isa/eq_diff_eq\''#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/uminus_complex.sel_2'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/abs_integer.rep_eq'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_ADD_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_EQ_' 'isa/Rep_rat_inject'#@#variant
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/real/REAL_LE_01_'#@#variant 'isa/pi_half_ge_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/calc_num/ARITH_104' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/realax/NADD_LE_ADD_' 'isa/lcm_dvd1_int'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nat_of_nibble.simps_2'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_MONO_LT_'#@#variant 'isa/tan_mono_le'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_6'#@#variant
0. 'hl/thm/int/INT_SGN_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Library/transc/PI2_BOUNDS_0'#@#variant 'isa/pi_half_gt_zero'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_NEG_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/real_inverse_code'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_INJ_' 'isa/natural.simps_1'
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/integer_of_int_int_of_integer'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/uminus_integer.rep_eq'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LT_' 'isa/fact_mono_nat'#@#variant
0. 'hl/thm/Library/transc/SQRT_POW_2_'#@#variant 'isa/real_sqrt_pow2'#@#variant
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/int/INT_LT_MIN_' 'isa/gcd_nat.bounded_iff'#@#variant
0. 'hl/thm/int/INT_EQ_NEG2_' 'isa/rel_simps_23'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/plus_int_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_INJ_' 'isa/Suc_Rep_inject\''
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/uminus_integer.rep_eq'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/transfer_nat_int_numerals_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_'#@#variant 'isa/sin_gt_zero_02'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_9'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/real/REAL_EQ_NEG2_' 'isa/exp_inj_iff'#@#variant
0. 'hl/thm/int/int_gt_' 'isa/real_less_code'#@#variant
0. 'hl/thm/int/INT_MUL_AC_2' 'isa/lcm_ac_nat_3'#@#variant
0. 'hl/thm/int/INT_SGN_MUL_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant 'isa/pi_half_le_two'#@#variant
0. 'hl/thm/arith/ADD_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_3'#@#variant
0. 'hl/thm/realax/HREAL_LE_TRANS_' 'isa/dvd.order.trans'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant 'isa/Rep_Nat_inject'
0. 'hl/thm/int/INT_LT_MIN_' 'isa/gcd_semilattice_nat.le_inf_iff'#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/cnj.sel_2'#@#variant
0. 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_' 'isa/dvd.antisym'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/uminus_integer.abs_eq'#@#variant
0. 'hl/thm/arith/EVEN_OR_ODD_' 'isa/odd_pos'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_17'#@#variant
0. 'hl/thm/Library/floor/FLOOR_FRAC_/1'#@#variant 'isa/zero_less_Suc'#@#variant
0. 'hl/thm/Library/transc/EXP_LN_'#@#variant 'isa/exp_ln'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/uminus_integer.abs_eq'#@#variant
0. 'hl/thm/calc_num/ARITH_60' 'isa/real_sqrt_le_1_iff'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GE_' 'isa/transfer_int_nat_relations_2'#@#variant
0. 'hl/thm/int/INT_LE_LADD_IMP_' 'isa/mult_le_mono2'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GE_' 'isa/real_less_code'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2' 'isa/gcd_ac_nat_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/int/INT_MUL_ASSOC_' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/int/INT_ADD_LINV_'#@#variant 'isa/coprime_Suc_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PERIODIC_'#@#variant 'isa/cot_periodic'#@#variant
0. 'hl/thm/real/REAL_ABS_1_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_9'#@#variant 'isa/arctan_eq_zero_iff'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_25'#@#variant
0. 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/calc_num/ARITH_6' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/real/REAL_SGN_NEG_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/transfer_int_nat_numerals_3'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/one_natural_def'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_DIV_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/int/int_sgn_th_' 'isa/Code_Numeral.dup_code_2'
0. 'hl/thm/arith/DIV_1_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_19'#@#variant
0. 'hl/thm/calc_num/ARITH_2' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RDISTRIB_' 'isa/gcd_exp_nat'#@#variant
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/nat_of_integer_integer_of_nat'
0. 'hl/thm/Library/transc/SIN_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/real/REAL_INV_EQ_1_'#@#variant 'isa/real_sqrt_eq_1_iff'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/num_of_nat.simps_1'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Library/pratt/PHI_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/real/REAL_SGN_MUL_' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/arith/ADD_0_'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/Suc.abs_eq'
0. 'hl/thm/arith/ADD_CLAUSES_0'#@#variant 'isa/plus_int_code_2'#@#variant
0. 'hl/thm/trivia/one_tydef_0' 'isa/if_pred_holds'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/nat_of_num_inc'
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_NEG_' 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_EQ_' 'isa/nat_of_char_eq_iff'
0. 'hl/thm/Library/pratt/PHI_1_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/Library/pocklington/PHI_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant 'isa/nat_mult_le_cancel1'#@#variant
0. 'hl/thm/int/INT_LT_ADD2_' 'isa/add_less_mono'#@#variant
0. 'hl/thm/Library/poly/MONOIDAL_POLY_ADD_'#@#variant 'isa/gcd_semilattice_nat.Inf_fin.semilattice_set_axioms'#@#variant
0. 'hl/thm/real/REAL_LT_DIV2_EQ_'#@#variant 'isa/real_mult_le_cancel_iff1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ROTATE2D_ADD_'#@#variant 'isa/real_root_mult_exp'#@#variant
0. 'hl/thm/int/INT_NEG_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/Suc.rep_eq'
0. 'hl/thm/real/REAL_NEG_EQ_0_'#@#variant 'isa/csqrt_eq_1'#@#variant
0. 'hl/thm/lists/REVERSE_0' 'isa/remdups.simps_1'
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LE_' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/real/REAL_POW_LE_1_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_4'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_1_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Library/transc/COS_BOUND_'#@#variant 'isa/abs_sin_le_one'#@#variant
0. 'hl/thm/arith/ADD_0_'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/int/INT_NEG_ADD_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/lists/MAP_I_' 'isa/Predicate.map.id'
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_5'#@#variant
0. 'hl/thm/real/REAL_ABS_1_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/Library/analysis/SUB_OLD_0'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_left'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_NEG_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/Library/transc/PI_POS_'#@#variant 'isa/pos2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ARG_/1'#@#variant 'isa/less_integer_code_7'#@#variant
0. 'hl/thm/Library/transc/COS_PERIODIC_PI_' 'isa/sin_periodic_pi'#@#variant
0. 'hl/thm/real/REAL_NEG_MUL2_' 'isa/diff_Suc_Suc'#@#variant
0. 'hl/thm/Library/transc/LN_POS_LT_'#@#variant 'isa/ln_ge_zero'#@#variant
0. 'hl/thm/int/INT_ABS_SGN_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/real/REAL_ABS_MUL_' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/lists/APPEND_0' 'isa/splice.simps_1'
0. 'hl/thm/Library/transc/ATN_MONO_LE_EQ_' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LE_' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/Library/transc/SQRT_1_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/int/INT_ABS_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/choose_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_LE_'#@#variant 'isa/sin_gt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Library/transc/LN_LT_X_'#@#variant 'isa/ln_bound'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant 'isa/arctan_minus'#@#variant
0. 'hl/thm/Library/prime/PRIME_1_'#@#variant 'isa/less_int_code_1'#@#variant
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/iterate/MONOIDAL_REAL_MUL_' 'isa/lcm_semilattice_nat.Sup_fin.semilattice_set_axioms'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/cnj.sel_2'#@#variant
0. 'hl/thm/calc_num/ARITH_79' 'isa/less_eq_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant 'isa/real_mult_le_cancel_iff2'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/real_inverse_code'#@#variant
0. 'hl/thm/int/INT_SGN_POW_' 'isa/complex_cnj_power'#@#variant
0. 'hl/thm/int/INT_MUL_RZERO_'#@#variant 'isa/lcm_0_nat'#@#variant
0. 'hl/thm/int/INT_LE_SUB_LADD_' 'isa/le_diff_conv'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/uminus_integer.rep_eq'#@#variant
0. 'hl/thm/arith/MULT_2_'#@#variant 'isa/gcd_idem_int'#@#variant
0. 'hl/thm/arith/EVEN_EXISTS_'#@#variant 'isa/gr0_conv_Suc'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_24'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant 'isa/natural.simps_2'#@#variant
0. 'hl/thm/arith/RIGHT_SUB_DISTRIB_' 'isa/nat_distrib_1'#@#variant
0. 'hl/thm/Library/transc/ATN_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/Library/pocklington/PHI_1_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/realax/NADD_OF_NUM_LE_' 'isa/zless_int'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_8'#@#variant 'isa/real_sqrt_le_0_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_POW_' 'isa/real_sqrt_power'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/int_Suc'#@#variant
0. 'hl/thm/int/INT_MAX_MAX_/0' 'isa/lcm_dvd1_int'#@#variant
0. 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant 'isa/gcd_0_left_int'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LE_EQ_' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI_'#@#variant 'isa/cos_gt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Library/transc/COS_POS_PI2_'#@#variant 'isa/tan_gt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_NEG_' 'isa/powr_minus_divide'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_EQ_' 'isa/transfer_int_nat_relations_1'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/int_of_integer_integer_of_int'
0. 'hl/thm/real/REAL_MUL_AC_1' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/int/INT_SGN_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant 'isa/less_integer_code_5'#@#variant
0. 'hl/thm/nums/BIT0_DEF_0'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/real/REAL_LT_LMUL_'#@#variant 'isa/powr_less_mono'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_LE_' 'isa/less_integer.abs_eq'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/ii.sel_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant 'isa/ln_ge_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant 'isa/mult_less_mono2'#@#variant
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/arith/TWO_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_27'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_POS_LT_'#@#variant 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_INJ_' 'isa/arctan_eq_iff'
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LT_' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_21'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_1' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/cis_inverse'#@#variant
0. 'hl/thm/realax/TREAL_EQ_TRANS_'#@#variant 'isa/le_trans'#@#variant
0. 'hl/thm/calc_int/REAL_LE_LNEG_'#@#variant 'isa/real_0_less_add_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_8'#@#variant 'isa/real_sqrt_lt_0_iff'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_4' 'isa/lcm_nat.left_idem'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/real/REAL_NEG_EQ_0_'#@#variant 'isa/real_sqrt_eq_1_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_7'#@#variant
0. 'hl/thm/int/int_sgn_th_' 'isa/uminus_complex.sel_1'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nat_code_2'#@#variant
0. 'hl/thm/Library/prime/LESS_MONO_ADD_' 'isa/mult_le_mono1'#@#variant
0. 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant 'isa/real_mult_le_cancel_iff2'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/abs_integer.abs_eq'#@#variant
0. 'hl/thm/Library/transc/PI2_BOUNDS_0'#@#variant 'isa/Nat.intros_1'
0. 'hl/thm/int/INT_ABS_MUL_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_MUL2_' 'isa/gcd_nat.mono'#@#variant
0. 'hl/thm/Library/transc/LN_LT_X_'#@#variant 'isa/sin_x_le_x'#@#variant
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_' 'isa/arctan_eq_iff'
0. 'hl/thm/Library/integer/INT_PRIME_2_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_5'#@#variant
0. 'hl/thm/real/REAL_INV_1_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/uminus_complex.sel_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/Nat.add_0_right'#@#variant
0. 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_STRONG_'#@#variant 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/real_inverse_code'#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/Suc.abs_eq'
0. 'hl/thm/Library/pocklington/PHI_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/nibble_of_nat_of_nibble'
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_' 'isa/rel_simps_23'
0. 'hl/thm/realax/NADD_OF_NUM_LE_' 'isa/transfer_int_nat_relations_2'#@#variant
0. 'hl/thm/int/int_eq_' 'isa/int_of_integer_inject'
0. 'hl/thm/realax/HREAL_OF_NUM_EQ_' 'isa/quotient_of_inject_eq'#@#variant
0. 'hl/thm/real/REAL_MAX_MAX_/0' 'isa/gcd_lcm_lattice_nat.inf_sup_ord_3'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LE_' 'isa/less_integer.abs_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant 'isa/less_int_code_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/int/INT_MIN_ACI_4' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_4'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/integer_of_num_1'#@#variant
0. 'hl/thm/Library/transc/SQRT_1_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/int/INT_LT_MIN_' 'isa/gcd_greatest_iff_int'#@#variant
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NEG_EQ_' 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LE_EQ_' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nat_of_nibble.simps_4'#@#variant
0. 'hl/thm/int/INT_ADD_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PERIODIC_PI_' 'isa/tan_periodic'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PERIODIC_'#@#variant 'isa/tan_periodic_pi'#@#variant
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_1'#@#variant 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/real/REAL_LT_01_'#@#variant 'isa/pi_half_gt_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant 'isa/nat_of_num_pos'#@#variant
0. 'hl/thm/real/REAL_ABS_SGN_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_6'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/cnj.sel_2'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/nat_of_natural_inverse'
0. 'hl/thm/real/REAL_SUB_RDISTRIB_' 'isa/min_diff'#@#variant
0. 'hl/thm/Library/transc/TAN_COT_'#@#variant 'isa/sin_2pi_minus'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant 'isa/powr_le_cancel_iff'#@#variant
0. 'hl/thm/real/REAL_LE_DIV2_EQ_'#@#variant 'isa/real_mult_less_iff1'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LT_' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GT_' 'isa/zle_int'#@#variant
0. 'hl/thm/int/int_ge_' 'isa/less_eq_integer_code_5'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/one_natural.rep_eq'#@#variant
0. 'hl/thm/int/INT_LE_LADD_' 'isa/nat_add_left_cancel_less'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_1'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GT_' 'isa/less_eq_int_code_5'#@#variant
0. 'hl/thm/arith/RIGHT_SUB_DISTRIB_' 'isa/min_diff'#@#variant
0. 'hl/thm/arith/LT_SUC_' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant 'isa/rel_simps_18'
0. 'hl/thm/real/REAL_ABS_1_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LT_' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_' 'isa/arctan_monotone\''#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_4' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_8'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_' 'isa/add_leD1'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_INV_'#@#variant 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/realax/TREAL_ADD_LDISTRIB_'#@#variant 'isa/gcd_lcm_lattice_nat.distrib_sup_le'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/realax/REAL_LE_TRANS_' 'isa/le_trans'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Library/transc/TAN_POS_PI2_'#@#variant 'isa/cot_gt_zero'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/one_complex.sel_2'#@#variant
0. 'hl/thm/real/REAL_ABS_1_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/minus_int_code_1'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/int_of_integer_inverse'
0. 'hl/thm/int/INT_LT_01_'#@#variant 'isa/pi_ge_zero'#@#variant
0. 'hl/thm/calc_int/REAL_ABS_NUM_' 'isa/sgn_cis'#@#variant
0. 'hl/thm/calc_num/ARITH_97' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_94' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/int/INT_NEG_RMUL_' 'isa/add_Suc_right'#@#variant
0. 'hl/thm/arith/SUB_0'#@#variant 'isa/pow.simps_1'
0. 'hl/thm/arith/TWO_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/nat_of_num_inc'
0. 'hl/thm/Library/poly/POLYDIFF_ADD_'#@#variant 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_NEG_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/zero_integer.rep_eq'#@#variant
0. 'hl/thm/calc_num/ARITH_57' 'isa/old.nat.inject'
0. 'hl/thm/Multivariate/transcendentals/ATN_ABS_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_1_'#@#variant 'isa/i_squared'#@#variant
0. 'hl/thm/realax/NADD_LE_TRANS_' 'isa/dvd.order.trans'#@#variant
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/calc_num/ARITH_54' 'isa/old.nat.inject'
0. 'hl/thm/Multivariate/transcendentals/RPOW_DIV_' 'isa/int_distrib_1'#@#variant
0. 'hl/thm/realax/HREAL_ADD_AC_1' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/Library/transc/COS_BOUNDS_/0'#@#variant 'isa/exp_ge_zero'#@#variant
0. 'hl/thm/real/REAL_ABS_DIV_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/calc_num/ARITH_88' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/realax/HREAL_MUL_LZERO_'#@#variant 'isa/lcm_0_left_int'#@#variant
0. 'hl/thm/calc_num/ARITH_87' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_30'#@#variant
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI_LE_'#@#variant 'isa/tan_gt_zero'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/int/INT_MUL_LID_'#@#variant 'isa/gcd_nat.left_neutral'#@#variant
0. 'hl/thm/calc_num/ARITH_84' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant 'isa/exp_le'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_ADD_' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/Library/rstc/RC_RULES_/1' 'isa/rtranclp.intros_1'
0. 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant 'isa/le_imp_0_less'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_SUB_' 'isa/gcd_semilattice_nat.le_infI'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_' 'isa/fact_mono_nat'#@#variant
0. 'hl/thm/calc_num/ARITH_48' 'isa/old.nat.inject'
0. 'hl/thm/int/INT_SGN_INEQS_8'#@#variant 'isa/real_sqrt_le_1_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_' 'isa/complex_cnj_cancel_iff'
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant 'isa/le_imp_0_less'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LE_' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/arith/TWO_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/arith/SUB_1' 'isa/powr_minus_divide'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_22'#@#variant
0. 'hl/thm/arith/SUB_REFL_'#@#variant 'isa/binomial_n_n'#@#variant
0. 'hl/thm/Library/transc/ATN_INJ_' 'isa/num.simps_2'
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/int/INT_NEGNEG_' 'isa/complex_cnj_cnj'
0. 'hl/thm/int/INT_ABS_POS_'#@#variant 'isa/exp_ge_zero'#@#variant
0. 'hl/thm/calc_num/ARITH_78' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/calc_num/ARITH_77' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_97' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/lists/BUTLAST_0' 'isa/rev.simps_1'
0. 'hl/thm/calc_num/ARITH_74' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/real/REAL_MUL_AC_1' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Library/transc/ASN_SIN_'#@#variant 'isa/arccos_cos'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/int/INT_EQ_MUL_RCANCEL_'#@#variant 'isa/mult_cancel2'#@#variant
0. 'hl/thm/Library/pratt/PHI_1_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/real/REAL_INV_NEG_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/calc_num/ARITH_94' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI2_'#@#variant 'isa/tan_pos_pi2_le'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/cis_inverse'#@#variant
0. 'hl/thm/real/REAL_NEG_RMUL_' 'isa/add_Suc_right'#@#variant
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/lists/FILTER_0' 'isa/takeWhile.simps_1'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_MUL2_' 'isa/diff_Suc_Suc'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/Rep_rat_inverse'#@#variant
0. 'hl/thm/arith/EXP_1' 'isa/mult_Suc_right'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/realax/REAL_ADD_LINV_'#@#variant 'isa/coprime_Suc_nat'#@#variant
0. 'hl/thm/lists/ALL_APPEND_' 'isa/append_in_listsp_conv'
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_' 'isa/arctan_monotone\''#@#variant
0. 'hl/thm/real/REAL_INV_MUL_' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/Code_Numeral.dup_code_3'
0. 'hl/thm/calc_num/ARITH_68' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_EQ_0_'#@#variant 'isa/csqrt_eq_0'#@#variant
0. 'hl/thm/calc_num/ARITH_67' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_' 'isa/add_inc'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_88' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_DIV_' 'isa/min_diff'#@#variant
0. 'hl/thm/calc_num/ARITH_87' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_64' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/real/REAL_EQ_INV2_' 'isa/exp_inj_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/calc_num/ARITH_84' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_BOUNDS_/0'#@#variant 'isa/zero_less_Suc'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_7'#@#variant 'isa/real_sqrt_le_0_iff'#@#variant
0. 'hl/thm/int/int_lt_' 'isa/less_eq_integer.abs_eq'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GT_' 'isa/less_eq_integer_code_5'#@#variant
0. 'hl/thm/realax/REAL_MUL_LID_'#@#variant 'isa/max_0L'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/nums/IND_SUC_0_' 'isa/natural.simps_3'#@#variant
0. 'hl/thm/calc_int/REAL_ABS_NUM_' 'isa/complex_cnj_numeral'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/uminus_integer.abs_eq'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/Library/pratt/PHI_1_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/calc_num/ARITH_0'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/int/INT_ABS_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Library/transc/SQRT_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Library/floor/INTEGER_NEG_' 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/int/INT_MUL_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/lists/MAP_I_' 'isa/filtermap_id'
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nat_of_nibble.simps_2'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/nat_of_integer_integer_of_nat'
0. 'hl/thm/Library/prime/LESS_MONO_ADD_' 'isa/div_le_mono'#@#variant
0. 'hl/thm/calc_num/ARITH_58' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant 'isa/Zero_not_Suc'#@#variant
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/calc_num/ARITH_78' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_1_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_77' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/int/INT_SUB_LZERO_'#@#variant 'isa/minus_integer_code_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_INV_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/calc_num/ARITH_74' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/real/REAL_SGN_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/Complex/complexnumbers/CX_INJ_' 'isa/transfer_int_nat_relations_1'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GT_' 'isa/less_int_code_5'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_ADD_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/abs_integer.rep_eq'#@#variant
0. 'hl/thm/int/int_lt_' 'isa/less_int_code_5'#@#variant
0. 'hl/thm/Library/rstc/RTC_IDEMP_' 'isa/rtranclp_idemp'
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_8'#@#variant 'isa/arctan_less_zero_iff'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LT_' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_ABS_' 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/Library/multiplicative/REAL_MULTIPLICATIVE_CONST_'#@#variant 'isa/vanishes_const'#@#variant
0. 'hl/thm/arith/FACT_NZ_'#@#variant 'isa/natural.simps_2'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_13'#@#variant
0. 'hl/thm/arith/DIV_1_'#@#variant 'isa/minus_nat.simps_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_10'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_EQ_' 'isa/STR_inject\''#@#variant
0. 'hl/thm/calc_num/ARITH_68' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/Library/transc/SQRT_POS_LE_'#@#variant 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/calc_num/ARITH_67' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_NPI_'#@#variant 'isa/cot_npi'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LT_' 'isa/less_natural.abs_eq'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/int/int_ge_' 'isa/real_less_code'#@#variant
0. 'hl/thm/calc_num/ARITH_64' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/arith/TWO_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/plus_int_code_1'#@#variant
0. 'hl/thm/Library/transc/TAN_NEG_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/calc_num/ARITH_0'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/uminus_integer.rep_eq'#@#variant
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/binomial_1'#@#variant
0. 'hl/thm/realax/REAL_LE_REFL_' 'isa/dvd.order.refl'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_REFL_' 'isa/dvd.order.refl'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_15'#@#variant
0. 'hl/thm/int/INT_MUL_LZERO_'#@#variant 'isa/lcm_0_left_nat'#@#variant
0. 'hl/thm/realax/HREAL_LE_REFL_' 'isa/dvd.order_refl'#@#variant
0. 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant 'isa/gcd_1_nat'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_1_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_58' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_ADD_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/real_uminus_code'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/nat_mult_1_right'#@#variant
0. 'hl/thm/arith/LE_MULT2_' 'isa/gcd_nat.mono'#@#variant
0. 'hl/thm/Library/poly/POLY_CMUL_POLY_DIFF_'#@#variant 'isa/complex_cnj_scaleR'#@#variant
0. 'hl/thm/Library/transc/COS_PERIODIC_PI_' 'isa/sin_minus_pi'#@#variant
0. 'hl/thm/arith/LE_MULT2_' 'isa/lcm_semilattice_nat.sup.mono'#@#variant
0. 'hl/thm/Library/pocklington/PHI_1_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/int/int_lt_' 'isa/less_integer_code_5'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/nat_of_integer_integer_of_nat'
0. 'hl/thm/Library/prime/DIVIDES_RMUL_' 'isa/dvd_lcm_I1_int'#@#variant
0. 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/natural_of_nat_of_natural_inverse'
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant 'isa/min_0R'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/pow.simps_1'
0. 'hl/thm/realax/HREAL_MUL_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_28'#@#variant
0. 'hl/thm/real/REAL_LE_POW2_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_9'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/char_of_nat_of_char'
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LT_' 'isa/less_eq_integer_code_5'#@#variant
0. 'hl/thm/realax/HREAL_LE_TRANS_' 'isa/dvd.order_trans'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant 'isa/plus_nat.simps_1'#@#variant
0. 'hl/thm/arith/ADD_CLAUSES_0'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_left'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_5'#@#variant 'isa/arctan_less_zero_iff'#@#variant
0. 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant 'isa/real_sqrt_less_mono'#@#variant
0. 'hl/thm/int/INT_NEG_EQ_0_'#@#variant 'isa/real_sqrt_eq_0_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/Code_Numeral.dup_code_3'
0. 'hl/thm/int/num_divides_' 'isa/less_int_code_5'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_1'#@#variant 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant 'isa/ln_ge_zero'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/abs_integer.abs_eq'#@#variant
0. 'hl/thm/Library/transc/COS_BOUNDS_/1'#@#variant 'isa/cos_le_one'#@#variant
0. 'hl/thm/Library/prime/PRIME_1_'#@#variant 'isa/Rat.positive_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_' 'isa/rel_simps_23'
0. 'hl/thm/calc_num/ARITH_7' 'isa/sqr.simps_1'
0. 'hl/thm/real/REAL_INV_EQ_1_'#@#variant 'isa/arctan_eq_zero_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/int_Suc'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_1_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_LT_0_'#@#variant 'isa/Im_complex_div_le_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant 'isa/Suc_neq_Zero'#@#variant
0. 'hl/thm/int/INT_MUL_AC_1' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_9'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_ONE_'#@#variant 'isa/times_int_code_2'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/int_0'#@#variant
0. 'hl/thm/calc_num/ARITH_1' 'isa/sqr.simps_1'
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_LMUL_' 'isa/dvd_lcm_I2_int'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_INV_MUL_'#@#variant 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI_'#@#variant 'isa/sin_ge_zero'#@#variant
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/nums/SUC_INJ_' 'isa/Suc_Rep_inject\''
0. 'hl/thm/Complex/complex_transc/CSIN_NEG_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_11'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/uminus_complex.sel_1'#@#variant
0. 'hl/thm/Library/transc/TAN_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/nat_of_num_inc'
0. 'hl/thm/int/INT_SGN_INEQS_5'#@#variant 'isa/real_sqrt_lt_1_iff'#@#variant
0. 'hl/thm/Library/transc/ATN_INJ_' 'isa/complex_cnj_cancel_iff'
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/plus_int_code_1'#@#variant
0. 'hl/thm/int/num_divides_' 'isa/zle_int'#@#variant
0. 'hl/thm/nums/SUC_INJ_' 'isa/real_sqrt_eq_iff'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/realax/REAL_MUL_LID_'#@#variant 'isa/gcd_0_left_nat'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_4' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_4'#@#variant
0. 'hl/thm/arith/TWO_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_1_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ABS_' 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_CX_'#@#variant 'isa/complex_cnj_numeral'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_REFL_' 'isa/le_refl'#@#variant
0. 'hl/thm/Library/analysis/REAL_EQ_RMUL_'#@#variant 'isa/mult_cancel2'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant 'isa/explode_inject'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/Code_Numeral.dup_code_2'
0. 'hl/thm/Library/prime/DIVIDES_REFL_' 'isa/le_refl'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/Zero_nat_def'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_'#@#variant 'isa/Nat.intros_1'
0. 'hl/thm/calc_int/REAL_ADD_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/Library/transc/COS_BOUNDS_/1'#@#variant 'isa/sin_le_one'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant 'isa/Zero_not_Suc'#@#variant
0. 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant 'isa/mult_le_mono1'#@#variant
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/Library/transc/REAL_LE_LSQRT_'#@#variant 'isa/real_le_lsqrt'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_LE_' 'isa/zless_int'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_ONE_'#@#variant 'isa/lcm_0_left_nat'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_MUL_L_' 'isa/mult_le_mono2'#@#variant
0. 'hl/thm/real/REAL_LE_MIN_' 'isa/gcd_nat.bounded_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_LE_'#@#variant 'isa/cot_gt_zero'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_27'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/natural.size_1'#@#variant
0. 'hl/thm/Library/poly/POLYDIFF_ADD_'#@#variant 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_'#@#variant 'isa/tan_gt_zero'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_EQ_' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/int/INT_MUL_AC_1' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_26'#@#variant
0. 'hl/thm/Library/transc/ATN_INJ_' 'isa/rel_simps_20'
0. 'hl/thm/realax/HREAL_OF_NUM_EQ_' 'isa/Rep_int_inject'#@#variant
0. 'hl/thm/real/REAL_MIN_ASSOC_' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_INV_' 'isa/Nat.intros_2'
0. 'hl/thm/arith/LT_SUC_' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/realax/REAL_LE_LADD_IMP_' 'isa/mult_le_mono2'#@#variant
0. 'hl/thm/Library/transc/LN_LE_'#@#variant 'isa/ln_add_one_self_le_self'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_8'#@#variant
0. 'hl/thm/int/int_of_num_th_' 'isa/nat_code_3'
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LT_' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_CX_'#@#variant 'isa/complex_cnj_of_nat'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LDISTRIB_' 'isa/int_distrib_4'#@#variant
0. 'hl/thm/realax/TREAL_LE_TRANS_'#@#variant 'isa/le_trans'#@#variant
0. 'hl/thm/Library/rstc/RTC_TRANS_R_' 'isa/transitive_closurep_trans\'_6'
0. 'hl/thm/nums/ZERO_DEF_' 'isa/integer_of_nat_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_DIV_' 'isa/nat_distrib_3'#@#variant
0. 'hl/thm/Library/transc/POW_2_SQRT_ABS_'#@#variant 'isa/real_sqrt_abs'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LZERO_'#@#variant 'isa/lcm_0_left_nat'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LE_' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/int/INT_NEG_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/arith/LEFT_ADD_DISTRIB_' 'isa/nat_distrib_4'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/Nat.add_0_right'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/abs_integer.rep_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/abs_integer.abs_eq'#@#variant
0. 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/integer_of_num_1'#@#variant
0. 'hl/thm/calc_num/ARITH_3' 'isa/inc.simps_1'
0. 'hl/thm/Library/integer/INT_PRIME_ABS_' 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/zero_complex.sel_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_1_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Library/analysis/SUB_LESS_EQ_' 'isa/gcd_lcm_lattice_nat.inf_sup_ord_1'#@#variant
0. 'hl/thm/Library/transc/PI_POS_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_7'#@#variant
0. 'hl/thm/realax/HREAL_LE_REFL_' 'isa/le_refl'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/sgn_integer.rep_eq'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble_of_nat_simps_2'#@#variant
0. 'hl/thm/nums/IND_SUC_INJ_' 'isa/num.simps_1'
0. 'hl/thm/realax/NADD_INV_WELLDEF_' 'isa/arctan_monotone'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant 'isa/less_eq_nat.simps_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/plus_int_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant 'isa/tan_arctan'#@#variant
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Multivariate/complexes/CSQRT_CX_'#@#variant 'isa/num_of_nat.simps_2/0'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/arith/LE_SUC_' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant 'isa/old.nat.simps_3'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/real/REAL_LT_01_'#@#variant 'isa/Nat.intros_1'
0. 'hl/thm/int/INT_GT_DISCRETE_'#@#variant 'isa/zle_add1_eq_le'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/int/INT_LT_ADD2_' 'isa/gcd_nat.mono'#@#variant
0. 'hl/thm/real/REAL_MUL_AC_1' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/Library/pocklington/PHI_1_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LE_EQ_' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_INJ_' 'isa/rel_simps_23'
0. 'hl/thm/real/REAL_NEG_EQ_0_'#@#variant 'isa/arctan_eq_zero_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_DIV_' 'isa/nat_mult_max_left'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/integer_of_num_1'#@#variant
0. 'hl/thm/Library/prime/INDEX_1_'#@#variant 'isa/mod_1'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/int/int_of_num_' 'isa/nat_numeral'#@#variant
0. 'hl/thm/int/INT_OF_NUM_OF_INT_'#@#variant 'isa/num_of_nat_inverse'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_LE_' 'isa/transfer_int_nat_relations_2'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/cis_inverse'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_12'#@#variant
0. 'hl/thm/int/INT_MAX_LT_' 'isa/lcm_semilattice_nat.le_sup_iff'#@#variant
0. 'hl/thm/Multivariate/realanalysis/bernoulli_0'#@#variant 'isa/root_0'#@#variant
0. 'hl/thm/arith/MULT_ASSOC_' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/int/INT_MUL_RZERO_'#@#variant 'isa/min_0R'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/one_natural.rep_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LE_EQ_' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_INJ_' 'isa/nat.simps_1'
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant 'isa/cos_two_le_zero'#@#variant
0. 'hl/thm/int/INT_ADD_RDISTRIB_' 'isa/int_distrib_3'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_ASSOC_'#@#variant 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nat_of_nibble.simps_3'#@#variant
0. 'hl/thm/arith/ADD_EQ_0_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.bot_eq_sup_iff'#@#variant
0. 'hl/thm/trivia/one_' 'isa/unit.exhaust'
0. 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/Real.positive_add'#@#variant
0. 'hl/thm/Library/rstc/RTC_INC_' 'isa/tranclp.intros_1'
0. 'hl/thm/Library/floor/RATIONAL_INV_EQ_' 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_24'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/int/INT_MIN_MIN_/1' 'isa/gcd_dvd2_nat'#@#variant
0. 'hl/thm/int/INT_ADD_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/realax/REAL_MUL_LID_'#@#variant 'isa/nat_mult_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_EQ_' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_9'#@#variant 'isa/complex_cnj_zero_iff'#@#variant
0. 'hl/thm/real/REAL_LE_01_'#@#variant 'isa/pi_half_gt_zero'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/real/REAL_LE_LMUL_'#@#variant 'isa/mult_less_mono2'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/pow.simps_1'
0. 'hl/thm/arith/LE_ADD_LCANCEL_' 'isa/nat_add_left_cancel_less'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LE_' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GE_' 'isa/zle_int'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/abs_integer.abs_eq'#@#variant
0. 'hl/thm/realarith/REAL_ENTIRE_'#@#variant 'isa/mult_is_0'#@#variant
0. 'hl/thm/arith/ADD_CLAUSES_0'#@#variant 'isa/lcm_nat.left_neutral'#@#variant
0. 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_' 'isa/mult_le_mono1'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GE_' 'isa/less_eq_int_code_5'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_12'#@#variant
0. 'hl/thm/calc_num/ARITH_104' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/real/REAL_LT_LCANCEL_IMP_'#@#variant 'isa/powr_less_cancel'#@#variant
0. 'hl/thm/int/INT_LE_LNEG_'#@#variant 'isa/real_0_le_add_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LE_' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/Library/transc/SIN_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_' 'isa/real_sqrt_less_mono'#@#variant
0. 'hl/thm/Library/poly/POLY_DIVIDES_TRANS_'#@#variant 'isa/dvd.order.trans'#@#variant
0. 'hl/thm/int/INT_ABS_MUL_' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_0'#@#variant 'isa/less_eq_int_code_1'#@#variant
0. 'hl/thm/Library/transc/SQRT_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant 'isa/old.nat.inject'
0. 'hl/thm/real/REAL_MAX_MAX_/1' 'isa/le_add2'#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/real_inverse_code'#@#variant
0. 'hl/thm/int/int_gt_' 'isa/less_eq_natural.abs_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/cis_inverse'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/nat_of_num_inverse'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_17'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_'#@#variant 'isa/cot_gt_zero'#@#variant
0. 'hl/thm/real/REAL_EQ_NEG2_' 'isa/real_sqrt_eq_iff'
0. 'hl/thm/int/INT_LE_01_'#@#variant 'isa/pi_ge_zero'#@#variant
0. 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant 'isa/le_imp_0_less'#@#variant
0. 'hl/thm/calc_int/REAL_ABS_NUM_' 'isa/complex_cnj_complex_of_real'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Library/prime/EXP_EXP_' 'isa/Divides.div_mult2_eq'#@#variant
0. 'hl/thm/Library/transc/LN_DIV_'#@#variant 'isa/ln_mult'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MUL_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/arith/PRE_0'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/int/INT_ABS_MUL_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/int/INT_MUL_RZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_right'#@#variant
0. 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_4' 'isa/gcd_nat.left_idem'#@#variant
0. 'hl/thm/realax/TREAL_EQ_IMP_LE_'#@#variant 'isa/le_simps_1'#@#variant
0. 'hl/thm/arith/ODD_MULT_' 'isa/nat_0_less_mult_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/sgn_integer.rep_eq'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nat_1'#@#variant
0. 'hl/thm/real/REAL_POW_LT_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_4'#@#variant
0. 'hl/thm/realax/NADD_LE_REFL_' 'isa/le_refl'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/transfer_nat_int_numerals_3'#@#variant
0. 'hl/thm/Library/analysis/DORDER_NGE_' 'isa/int_equivp'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_' 'isa/div_le_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/natural_of_nat_of_natural_inverse'
0. 'hl/thm/calc_num/ARITH_9' 'isa/one_plus_BitM'#@#variant
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/calc_num/ARITH_44' 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_4' 'isa/one_plus_BitM'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_' 'isa/add_less_mono1'#@#variant
0. 'hl/thm/real/REAL_ABS_SGN_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/lists/MONO_ALL_' 'isa/eventually_mono'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/calc_num/ARITH_40' 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_1' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/unit.size_1'#@#variant
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant 'isa/zero_zle_int'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_INV_'#@#variant 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_22'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/norm_ii'#@#variant
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_' 'isa/gcd_dvd2_nat'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/Library/transc/TAN_PERIODIC_PI_' 'isa/tan_periodic_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_ACS_'#@#variant 'isa/cos_arcsin'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_ASSOC_' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/explode_inverse'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_POS_PI2_'#@#variant 'isa/sin_ge_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_LE_'#@#variant 'isa/pi_gt_zero'#@#variant
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_CX_' 'isa/abs_int_eq'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/nat_of_natural_of_nat_inverse'
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/uminus_complex.sel_2'#@#variant
0. 'hl/thm/calc_num/ARITH_7' 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant 'isa/mult_is_0'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_STRONG_'#@#variant 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/Library/analysis/re_universe_' 'isa/Quot_True_def'
0. 'hl/thm/arith/EXP_ONE_'#@#variant 'isa/lcm_0_left_int'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_LT_1_'#@#variant 'isa/ge_one_powr_ge_zero'#@#variant
0. 'hl/thm/realax/NADD_LE_RMUL_' 'isa/mult_le_mono1'#@#variant
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/minus_nat.simps_1'#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/Int.dup_code_3'
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/sgn_integer.abs_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_LE_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_5'#@#variant
0. 'hl/thm/Library/rstc/RC_INC_' 'isa/tranclp.intros_1'
0. 'hl/thm/calc_num/ARITH_1' 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/int/INT_ADD_RDISTRIB_' 'isa/gcd_exp_nat'#@#variant
0. 'hl/thm/int/INT_ABS_1_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_EQ_' 'isa/int_of_integer_inject'
0. 'hl/thm/Multivariate/metric/EVENTUALLY_MP_' 'isa/eventually_mp'
0. 'hl/thm/real/REAL_EQ_IMP_LE_' 'isa/eq_imp_le'#@#variant
0. 'hl/thm/arith/RIGHT_ADD_DISTRIB_' 'isa/nat_mult_max_left'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_1'#@#variant 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_left'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/eval_nat_numeral_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_NPI_'#@#variant 'isa/cot_npi'#@#variant
0. 'hl/thm/calc_num/ARITH_57' 'isa/rel_simps_20'
0. 'hl/thm/arith/SUB_0_/0'#@#variant 'isa/times_int_code_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_DIV_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/int/INT_SGN_NEG_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/calc_num/ARITH_54' 'isa/rel_simps_20'
0. 'hl/thm/int/INT_MUL_LID_'#@#variant 'isa/gcd_0_left_nat'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/real/REAL_LT_LCANCEL_IMP_'#@#variant 'isa/dvd_mult_cancel'#@#variant
0. 'hl/thm/int/int_le_' 'isa/less_eq_integer.abs_eq'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_4' 'isa/Nat_Transfer.transfer_int_nat_function_closures_4'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GE_' 'isa/less_eq_integer_code_5'#@#variant
0. 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant 'isa/real_mult_le_cancel_iff2'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_LMUL2_' 'isa/add_leD2'#@#variant
0. 'hl/thm/real/REAL_ABS_1_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Library/rstc/RSTC_INC_RTC_' 'isa/tranclp_into_rtranclp'
0. 'hl/thm/Library/prime/NOT_LESS_0_'#@#variant 'isa/rel_simps_8'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant 'isa/nat_mult_dvd_cancel1'#@#variant
0. 'hl/thm/lists/BUTLAST_0' 'isa/rotate1.simps_1'
0. 'hl/thm/Library/transc/REAL_EXP_POS_LT_'#@#variant 'isa/exp_gt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/real/REAL_LE_ADD2_' 'isa/lcm_semilattice_nat.sup.mono'#@#variant
0. 'hl/thm/calc_num/ARITH_48' 'isa/rel_simps_20'
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/nat_of_natural_of_nat'#@#variant
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/uminus_integer.rep_eq'#@#variant
0. 'hl/thm/arith/MULT_AC_2' 'isa/gcd_ac_int_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/real_uminus_code'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_18'#@#variant
0. 'hl/thm/Library/transc/LN_POS_'#@#variant 'isa/le_imp_0_less'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/int_Suc'#@#variant
0. 'hl/thm/nums/NOT_SUC_'#@#variant 'isa/num.simps_4'
0. 'hl/thm/int/INT_OF_NUM_GE_' 'isa/less_int_code_5'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/one_complex.sel_2'#@#variant
0. 'hl/thm/int/INT_SUB_RDISTRIB_' 'isa/gcd_exp_nat'#@#variant
0. 'hl/thm/real/REAL_SGN_MUL_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/realax/HREAL_ADD_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/int/int_le_' 'isa/less_int_code_5'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/nat_of_natural_of_nat_inverse'
0. 'hl/thm/arith/ADD_0_'#@#variant 'isa/choose_one'#@#variant
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LE_' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/Library/transc/TAN_PI4_'#@#variant 'isa/tan_45'#@#variant
0. 'hl/thm/realarith/REAL_LT_REFL_' 'isa/less_irrefl_nat'#@#variant
0. 'hl/thm/realarith/REAL_LT_TRANS_' 'isa/dvd.dual_order.trans'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/Library/pocklington/PHI_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/realax/REAL_INV_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant 'isa/exp_gt_one'#@#variant
0. 'hl/thm/nums/BIT0_DEF_0'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/sgn_integer.rep_eq'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_4'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LE_' 'isa/less_natural.abs_eq'#@#variant
0. 'hl/thm/real/REAL_SGN_NEG_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nat_1'#@#variant
0. 'hl/thm/realax/NADD_LE_RMUL_' 'isa/add_le_mono1'#@#variant
0. 'hl/thm/real/REAL_MIN_MIN_/0' 'isa/diff_le_self'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant 'isa/binomial_n_n'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_MUL_CX_/1'#@#variant 'isa/Im_divide_of_real'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant 'isa/nat.simps_1'
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_EQ_' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/arith/MULT_0'#@#variant 'isa/times_integer_code_2'#@#variant
0. 'hl/thm/int/INT_EQ_IMP_LE_' 'isa/eq_imp_le'#@#variant
0. 'hl/thm/Library/pocklington/PHI_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant 'isa/ln_ge_zero'#@#variant
0. 'hl/thm/Library/transc/PI2_BOUNDS_0'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_5'#@#variant
0. 'hl/thm/int/INT_ADD_AC_2' 'isa/lcm_ac_nat_3'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/real/REAL_ABS_1_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/explode_inverse'#@#variant
0. 'hl/thm/int/INT_MAX_MAX_/1' 'isa/gcd_lcm_lattice_nat.inf_sup_ord_4'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/sgn_integer.abs_eq'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_LT_' 'isa/less_eq_integer.abs_eq'#@#variant
0. 'hl/thm/calc_num/ARITH_57' 'isa/exp_inj_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_ABS_' 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/int/INT_ABS_1_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/calc_num/ARITH_54' 'isa/exp_inj_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/uminus_complex.sel_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/integer_of_nat_0'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/Real.positive_add'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/int/INT_EQ_IMP_LE_' 'isa/dvd.eq_refl'#@#variant
0. 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2' 'isa/gcd_ac_nat_3'#@#variant
0. 'hl/thm/arith/LT_SUC_' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_1'#@#variant 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/int/int_le_' 'isa/less_integer_code_5'#@#variant
0. 'hl/thm/int/INT_OF_NUM_OF_INT_'#@#variant 'isa/transfer_nat_int_list_return_embed'#@#variant
0. 'hl/thm/real/REAL_ABS_POS_'#@#variant 'isa/zero_less_Suc'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/integer_of_int_int_of_integer'
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/Complex/cpoly/POLY_DIVIDES_SUB2_'#@#variant 'isa/zdvd_zdiffD'#@#variant
0. 'hl/thm/arith/LEFT_SUB_DISTRIB_' 'isa/int_distrib_4'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_ADD_' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LE_' 'isa/less_eq_integer_code_5'#@#variant
0. 'hl/thm/int/INT_NEG_RMUL_' 'isa/add_inc'#@#variant
0. 'hl/thm/calc_num/ARITH_48' 'isa/exp_inj_iff'#@#variant
0. 'hl/thm/nums/BIT0_DEF_0'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/arith/LE_ADD2_' 'isa/add_less_mono'#@#variant
0. 'hl/thm/calc_num/ARITH_7' 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_30'#@#variant
0. 'hl/thm/arith/LE_TRANS_' 'isa/dvd.dual_order.trans'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble_of_nat_simps_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/realax/NADD_LE_RMUL_' 'isa/add_less_mono1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/int/INT_NEG_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/nums/IND_SUC_0_' 'isa/rel_simps_18'
0. 'hl/thm/real/REAL_LE_INV_'#@#variant 'isa/Nat.intros_2'
0. 'hl/thm/calc_num/ARITH_1' 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_16'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LT_' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/int/INT_ABS_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_LZERO_'#@#variant 'isa/power_Suc_0'#@#variant
0. 'hl/thm/Library/floor/FLOOR_FRAC_/1'#@#variant 'isa/exp_ge_zero'#@#variant
0. 'hl/thm/Library/analysis/REAL_'#@#variant 'isa/natural.size_2'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_INV_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/int/INT_SGN_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Library/integer/INT_DIVISION_DECOMP_' 'isa/division_decomp_nat'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_7'#@#variant 'isa/sgn_le_0_iff'#@#variant
0. 'hl/thm/realax/REAL_ADD_LDISTRIB_' 'isa/nat_distrib_2'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant 'isa/nat.simps_3'#@#variant
0. 'hl/thm/int/INT_ADD_LDISTRIB_' 'isa/nat_distrib_4'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant 'isa/inverse_sgn'#@#variant
0. 'hl/thm/calc_num/ARITH_26' 'isa/arith_simps_12'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/real_inverse_code'#@#variant
0. 'hl/thm/Library/transc/SIN_BOUND_'#@#variant 'isa/abs_cos_le_one'#@#variant
0. 'hl/thm/int/num_divides_' 'isa/less_eq_integer_code_5'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RDISTRIB_' 'isa/int_distrib_1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/Zero_nat_def'#@#variant
0. 'hl/thm/int/int_min_' 'isa/nat_int_add'#@#variant
0. 'hl/thm/real/REAL_LE_RMUL_'#@#variant 'isa/zdiv_mono1'#@#variant
0. 'hl/thm/arith/EXP_ADD_' 'isa/powr_add'#@#variant
0. 'hl/thm/calc_num/ARITH_0'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Multivariate/metric/EVENTUALLY_MONO_' 'isa/eventually_mono'
0. 'hl/thm/nums/NUM_REP_RULES_1' 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/Rep_Nat_inverse'
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant 'isa/gcd_1_int'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_EQ_' 'isa/nat_of_natural_inject'
0. 'hl/thm/Complex/complexnumbers/CNJ_SUB_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/real/REAL_ADD_RDISTRIB_' 'isa/nat_distrib_3'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Library/transc/SIN_BOUNDS_/0'#@#variant 'isa/exp_ge_zero'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_3' 'isa/gcd_nat.idem'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/Real.positive_add'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/abs_integer.rep_eq'#@#variant
0. 'hl/thm/realax/TREAL_LE_TRANS_'#@#variant 'isa/dvd.dual_order.trans'#@#variant
0. 'hl/thm/real/REAL_LE_SUB_RADD_' 'isa/less_diff_conv'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_18'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LT_EQ_' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/zero_real_code'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/arith/RIGHT_SUB_DISTRIB_' 'isa/gcd_exp_nat'#@#variant
0. 'hl/thm/Library/transc/PI2_BOUNDS_0'#@#variant 'isa/pi_gt_zero'#@#variant
0. 'hl/thm/Complex/complex_transc/COMPLEX_NORM_GE_RE_IM_/1' 'isa/abs_Im_le_cmod'#@#variant
0. 'hl/thm/Complex/complex_transc/COMPLEX_NORM_GE_RE_IM_/0' 'isa/abs_Im_le_cmod'#@#variant
0. 'hl/thm/real/REAL_ABS_MUL_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/arith/MULT_0_'#@#variant 'isa/times_integer_code_1'#@#variant
0. 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/realax/HREAL_LE_MUL_RCANCEL_IMP_' 'isa/add_le_mono1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_19'#@#variant
0. 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant 'isa/add_le_mono1'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_SUC_'#@#variant 'isa/natural.size_2'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/nums/NOT_SUC_'#@#variant 'isa/rel_simps_19'
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/int_Suc'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_1_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/int/INT_SUB_LDISTRIB_' 'isa/nat_distrib_4'#@#variant
0. 'hl/thm/realax/HREAL_MUL_ASSOC_' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_1' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/Real.positive_add'#@#variant
0. 'hl/thm/arith/LE_REFL_' 'isa/dvd.order_refl'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/zero_complex.sel_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nat_of_nibble.simps_3'#@#variant
0. 'hl/thm/Library/poly/POLY_ADD_ASSOC_'#@#variant 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/lists/MAP_ID_' 'isa/image_ident'
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_11'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_AC_1' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_ABS_LE_X_' 'isa/abs_sin_x_le_abs_x'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_COT_'#@#variant 'isa/cos_periodic_pi2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant 'isa/Suc_Rep_not_Zero_Rep'
0. 'hl/thm/real/REAL_EQ_NEG2_' 'isa/rel_simps_20'
0. 'hl/thm/Library/transc/PI2_BOUNDS_0'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_7'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LE_' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/arith/ADD_0_'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_2'#@#variant
0. 'hl/thm/Library/card/sum_INJECTIVE_0' 'isa/old.sum.inject_1'
0. 'hl/thm/Library/transc/COS_POS_PI2_'#@#variant 'isa/sin_ge_zero'#@#variant
0. 'hl/thm/Library/transc/SIN_PERIODIC_PI_' 'isa/cos_periodic_pi'#@#variant
0. 'hl/thm/Library/prime/INDEX_1_'#@#variant 'isa/log_one'#@#variant
0. 'hl/thm/calc_num/ARITH_97' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/real/REAL_EQ_MUL_LCANCEL_'#@#variant 'isa/nat_mult_eq_cancel_disj'#@#variant
0. 'hl/thm/Library/pocklington/PHI_EQ_0_'#@#variant 'isa/arctan_eq_zero_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_94' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/calc_num/ARITH_98' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_EQ_' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_DIV_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/calc_num/ARITH_93' 'isa/cos_le_one'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/Int.dup_code_3'
0. 'hl/thm/int/INT_OF_NUM_GT_' 'isa/less_eq_integer.abs_eq'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_POW_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_4'#@#variant
0. 'hl/thm/int/INT_NEG_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/calc_int/REAL_OF_NUM_POW_' 'isa/Nat_Transfer.transfer_int_nat_functions_4'#@#variant
0. 'hl/thm/nums/NUM_REP_RULES_0' 'isa/Nat_Transfer.transfer_nat_int_function_closures_7'#@#variant
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/Real.positive_add'#@#variant
0. 'hl/thm/arith/LE_TRANS_' 'isa/dvd.order.trans'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ROOT_NEG_' 'isa/real_root_inverse'#@#variant
0. 'hl/thm/real/REAL_SGN_DIV_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/Library/transc/COS_ACS_'#@#variant 'isa/arccos_cos'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant 'isa/lcm_nat.left_neutral'#@#variant
0. 'hl/thm/real/REAL_ABS_DIV_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant 'isa/nat_mult_le_cancel1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/zero_real_code'#@#variant
0. 'hl/thm/arith/MULT_0_'#@#variant 'isa/gcd_1_nat'#@#variant
0. 'hl/thm/int/int_lt_' 'isa/less_eq_int_code_5'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_MUL_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/int/int_eq_' 'isa/nat_of_char_eq_iff'
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/binomial_1'#@#variant
0. 'hl/thm/real/REAL_LE_POW2_'#@#variant 'isa/less_eq_int_code_2'#@#variant
0. 'hl/thm/real/REAL_ABS_MUL_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/calc_num/ARITH_88' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/calc_num/ARITH_87' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_7'#@#variant
0. 'hl/thm/Library/transc/TAN_PI4_'#@#variant 'isa/cos_60'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GT_' 'isa/zless_int'#@#variant
0. 'hl/thm/calc_num/ARITH_84' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_LT_' 'isa/less_natural.abs_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_SIN_'#@#variant 'isa/tan_cot\''#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_1_'#@#variant 'isa/less_int_code_1'#@#variant
0. 'hl/thm/arith/EXP_ONE_'#@#variant 'isa/min_0L'#@#variant
0. 'hl/thm/calc_num/ARITH_83' 'isa/cos_le_one'#@#variant
0. 'hl/thm/calc_num/ARITH_82' 'isa/cos_le_one'#@#variant
0. 'hl/thm/int/INT_ABS_POS_'#@#variant 'isa/exp_gt_zero'#@#variant
0. 'hl/thm/realax/REAL_INV_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/realax/HREAL_LE_ADD2_' 'isa/gcd_nat.mono'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/nat_mult_1_right'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_LADD_' 'isa/eq_diff_eq\''#@#variant
0. 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LE_EQ_' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/Library/transc/TAN_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/uminus_integer.rep_eq'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LT_' 'isa/real_sqrt_less_mono'#@#variant
0. 'hl/thm/Complex/cpoly/POLY_DIVIDES_TRANS_'#@#variant 'isa/dvd.dual_order.trans'#@#variant
0. 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant 'isa/zle_int'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/calc_num/ARITH_78' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/Suc.abs_eq'
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/calc_num/ARITH_77' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_29'#@#variant
0. 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant 'isa/cos_two_less_zero'#@#variant
0. 'hl/thm/real/REAL_INV_1_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/nat_of_natural_of_nat'#@#variant
0. 'hl/thm/calc_num/ARITH_74' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/int/INT_MAX_LE_' 'isa/lcm_semilattice_nat.le_sup_iff'#@#variant
0. 'hl/thm/arith/DIV_1_'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_NEG_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_EQ_' 'isa/nat_of_nibble_eq_iff'
0. 'hl/thm/arith/DIV_1_'#@#variant 'isa/minus_int_code_1'#@#variant
0. 'hl/thm/int/INT_ABS_NUM_' 'isa/sgn_cis'#@#variant
0. 'hl/thm/int/INT_MIN_ACI_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/arith/ADD_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/Library/rstc/TC_TRANS_' 'isa/transitive_closurep_trans\'_2'
0. 'hl/thm/arith/LE_0'#@#variant 'isa/nat_dvd_1_iff_1'#@#variant
0. 'hl/thm/int/int_add_' 'isa/nat_int_add'#@#variant
0. 'hl/thm/realax/TREAL_MUL_WELLDEF_'#@#variant 'isa/mult_le_mono'#@#variant
0. 'hl/thm/real/REAL_EQ_INV2_' 'isa/real_sqrt_eq_iff'
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_15'#@#variant
0. 'hl/thm/iterate/MONOIDAL_REAL_MUL_' 'isa/lcm_nat.semilattice_axioms'#@#variant
0. 'hl/thm/realax/HREAL_ADD_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_7'#@#variant
0. 'hl/thm/real/REAL_LT_01_'#@#variant 'isa/pi_ge_zero'#@#variant
0. 'hl/thm/real/REAL_LE_LADD_' 'isa/nat_add_left_cancel_le'#@#variant
0. 'hl/thm/calc_num/ARITH_68' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/real/REAL_SGN_DIV_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/calc_num/ARITH_67' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble_of_nat_simps_4'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/calc_num/ARITH_64' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/Library/rstc/RSC_IDEMP_' 'isa/rtranclp_idemp'
0. 'hl/thm/int/INT_ABS_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Complex/complex_transc/COMPLEX_II_NZ_'#@#variant 'isa/pi_half_neq_zero'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/sin_coeff_0'#@#variant
0. 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/Library/transc/SQRT_1_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_7'#@#variant 'isa/real_sqrt_le_0_iff'#@#variant
0. 'hl/thm/int/INT_LE_TOTAL_' 'isa/nat_le_linear'#@#variant
0. 'hl/thm/int/INT_MAX_MAX_/0' 'isa/le_add1'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_right'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_MUL_R_' 'isa/diff_le_mono'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/pred_numeral_simps_1'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PERIODIC_PI_' 'isa/cos_minus_pi'#@#variant
0. 'hl/thm/Library/analysis/DORDER_NGE_' 'isa/transp_ratrel'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/Re_complex_of_real'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/calc_num/ARITH_57' 'isa/num.simps_2'
0. 'hl/thm/real/REAL_LT_POW2_'#@#variant 'isa/less_int_code_2'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/calc_num/ARITH_58' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/zero_natural_def'#@#variant
0. 'hl/thm/calc_num/ARITH_54' 'isa/num.simps_2'
0. 'hl/thm/Multivariate/complexes/ii_'#@#variant 'isa/Frct_code_post_3'#@#variant
0. 'hl/thm/Library/prime/PRIME_2_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_7'#@#variant
0. 'hl/thm/arith/LT_MULT2_' 'isa/gcd_nat.mono'#@#variant
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/Re_complex_of_real'#@#variant
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2' 'isa/gcd_ac_int_3'#@#variant
0. 'hl/thm/int/INT_LE_ADD2_' 'isa/lcm_semilattice_nat.sup_mono'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_' 'isa/fact_mono_nat'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_POS_LE_'#@#variant 'isa/zero_less_Suc'#@#variant
0. 'hl/thm/int/int_ge_' 'isa/less_eq_natural.abs_eq'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_EXP_' 'isa/arctan/2'#@#variant
0. 'hl/thm/int/INT_LT_SUB_LADD_' 'isa/le_diff_conv'#@#variant
0. 'hl/thm/Library/rstc/STC_INC_' 'isa/tranclp.intros_1'
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_GE_0_'#@#variant 'isa/Re_complex_div_gt_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/nat_of_num_inc'
0. 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant 'isa/dvd.order_refl'#@#variant
0. 'hl/thm/real/REAL_INV_MUL_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/calc_num/ARITH_48' 'isa/num.simps_2'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/plus_int_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_DIV_'#@#variant 'isa/arith_simps_5'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_7'#@#variant 'isa/real_sqrt_lt_0_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant 'isa/ln_exp'#@#variant
0. 'hl/thm/Library/transc/SIN_BOUNDS_/1'#@#variant 'isa/cos_le_one'#@#variant
0. 'hl/thm/realax/REAL_ADD_ASSOC_' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/sgn_integer.rep_eq'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_MUL_CX_/1'#@#variant 'isa/Re_divide_of_real'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/real_uminus_code'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/natural.size_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RDISTRIB_' 'isa/min_diff'#@#variant
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Library/transc/LN_POS_LT_'#@#variant 'isa/le_imp_0_less'#@#variant
0. 'hl/thm/int/INT_MAX_MAX_/0' 'isa/lcm_semilattice_nat.sup.cobounded1'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/real/REAL_INV_NEG_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/Suc.rep_eq'
0. 'hl/thm/int/INT_LE_ADD2_' 'isa/add_le_mono'#@#variant
0. 'hl/thm/nums/NUM_REP_RULES_1' 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/int/INT_ABS_ZERO_'#@#variant 'isa/complex_cnj_zero_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_DIV_' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/arith/FACT_NZ_'#@#variant 'isa/rel_simps_19'
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_EQ_' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/Library/transc/ATN_INJ_' 'isa/Suc_Rep_inject\''
0. 'hl/thm/arith/ADD_AC_1' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_32'#@#variant
0. 'hl/thm/Library/prime/DIVISION_DECOMP_' 'isa/division_decomp_int'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/Library/pratt/PHI_1_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/arith/LEFT_ADD_DISTRIB_' 'isa/gcd_mult_distrib_nat'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/Library/pocklington/PHI_1_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/uminus_complex.sel_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/nibble_of_nat_of_nibble'
0. 'hl/thm/arith/ADD_AC_2' 'isa/gcd_ac_int_3'#@#variant
0. 'hl/thm/lists/MAP_REVERSE_' 'isa/map_tl'
0. 'hl/thm/Multivariate/transcendentals/RPOW_MUL_' 'isa/gcd_exp_nat'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_22'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_31'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble_of_nat_simps_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_' 'isa/real_sqrt_le_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant 'isa/le_imp_0_less'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/Suc.abs_eq'
0. 'hl/thm/calc_num/ARITH_30' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/realax/NADD_OF_NUM_LE_' 'isa/less_eq_integer_code_5'#@#variant
0. 'hl/thm/calc_int/REAL_ABS_NUM_' 'isa/complex_cnj_of_nat'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/int/INT_LE_ADD2_' 'isa/lcm_semilattice_nat.sup.mono'#@#variant
0. 'hl/thm/realarith/REAL_POLY_NEG_CLAUSES_0'#@#variant 'isa/minus_integer_code_2'#@#variant
0. 'hl/thm/Library/transc/COS_POS_PI2_'#@#variant 'isa/sin_gt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_0'#@#variant 'isa/Nat.intros_1'
0. 'hl/thm/Library/transc/SIN_BOUNDS_/1'#@#variant 'isa/sin_le_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_POS_PI2_'#@#variant 'isa/tan_gt_zero'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/one_complex.sel_2'#@#variant
0. 'hl/thm/realax/REAL_INV_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_9'#@#variant 'isa/real_sqrt_eq_0_iff'#@#variant
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LE_EQ_' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ABS_' 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/Library/poly/MONOIDAL_POLY_ADD_'#@#variant 'isa/gcd_nat.semilattice_axioms'#@#variant
0. 'hl/thm/Library/pocklington/PHI_1_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/nibble_of_nat_of_nibble'
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/uminus_complex.sel_1'#@#variant
0. 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/real/REAL_LT_POW2_'#@#variant 'isa/Nat_Rep_Nat'
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/Int.dup_code_3'
0. 'hl/thm/arith/FACT_LT_'#@#variant 'isa/exp_ge_zero'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LT_' 'isa/real_less_eq_code'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_AC_2' 'isa/gcd_ac_nat_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_'#@#variant 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/Rep_rat_inverse'#@#variant
0. 'hl/thm/calc_num/ARITH_20' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/explode_inverse'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_3'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INJ_' 'isa/nat_of_nibble_eq_iff'
0. 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant 'isa/Suc_Rep_not_Zero_Rep'
0. 'hl/thm/Library/transc/ATN_MONO_LE_EQ_' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/pow.simps_1'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LNEG_' 'isa/plus_nat.simps_2'#@#variant
0. 'hl/thm/calc_num/ARITH_0'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/int/int_lt_' 'isa/zless_int'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_NEG_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/calc_num/ARITH_16' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant 'isa/nat_mult_dvd_cancel1'#@#variant
0. 'hl/thm/Library/pocklington/PHI_1_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant 'isa/nat_of_nibble_eq_iff'
0. 'hl/thm/Multivariate/transcendentals/SIN_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/calc_num/ARITH_10' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_ADD_RCANCEL_' 'isa/nat_add_right_cancel'#@#variant
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/Real.positive_add'#@#variant
0. 'hl/thm/real/REAL_LE_MIN_' 'isa/gcd_semilattice_nat.le_inf_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CNJ_' 'isa/cnj.sel_1'
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_15'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_LE_'#@#variant 'isa/pi_half_gt_zero'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant 'isa/rel_simps_16'
0. 'hl/thm/Library/pocklington/PHI_1_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_9'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant 'isa/powr_less_mono'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/nat_int'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/realax/HREAL_LE_ADD2_' 'isa/lcm_semilattice_nat.sup.mono'#@#variant
0. 'hl/thm/real/REAL_LE_LCANCEL_IMP_'#@#variant 'isa/powr_less_cancel'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/Suc.rep_eq'
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/int_0'#@#variant
0. 'hl/thm/Complex/cpoly/POLY_DIVIDES_TRANS_'#@#variant 'isa/le_trans'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_4'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_ONE_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_left'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/Suc.abs_eq'
0. 'hl/thm/Multivariate/transcendentals/PI_POS_LE_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_7'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/uminus_complex.sel_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/Rep_int_inverse'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_INJ_' 'isa/complex_cnj_cancel_iff'
0. 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant 'isa/less_natural.abs_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant 'isa/exp_less_mono'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_ASSOC_' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_INV_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/int/INT_SUB_LE_'#@#variant 'isa/zero_less_binomial_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_' 'isa/real_sqrt_less_mono'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/nat_int'#@#variant
0. 'hl/thm/realax/HREAL_LE_ADD_' 'isa/lcm_dvd1_int'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_7'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_9'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_NEG_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_1' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant 'isa/lcm_0_nat'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GT_' 'isa/real_less_code'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_ASN_'#@#variant 'isa/cos_arccos'#@#variant
0. 'hl/thm/Library/pratt/PHI_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/arith/MULT_EXP_' 'isa/nat_add_max_left'#@#variant
0. 'hl/thm/real/REAL_MIN_MIN_/0' 'isa/gcd_dvd1_nat'#@#variant
0. 'hl/thm/int/INT_MIN_MIN_/0' 'isa/gcd_dvd1_nat'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_7'#@#variant 'isa/real_sqrt_le_1_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant 'isa/exp_inj_iff'#@#variant
0. 'hl/thm/real/REAL_EQ_MUL_RCANCEL_'#@#variant 'isa/mult_cancel2'#@#variant
0. 'hl/thm/arith/LT_0_'#@#variant 'isa/exp_gt_zero'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_'#@#variant 'isa/sin_gt_zero_02'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_POS_PI2_'#@#variant 'isa/sin_gt_zero2'#@#variant
0. 'hl/thm/arith/LE_0_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.bot.extremum'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_MONO_LT_'#@#variant 'isa/cos_monotone_0_pi'#@#variant
0. 'hl/thm/arith/LE_MULT_LCANCEL_'#@#variant 'isa/nat_mult_dvd_cancel_disj'#@#variant
0. 'hl/thm/Library/rstc/RSTC_RULES_/0' 'isa/r_into_rtranclp'
0. 'hl/thm/Multivariate/transcendentals/TAN_MONO_LE_'#@#variant 'isa/cos_monotone_minus_pi_0'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_EQ_' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/int/INT_MUL_RNEG_' 'isa/add_Suc_right'#@#variant
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/int/INT_SGN_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/Library/analysis/LESS_EQ_SUC_REFL_' 'isa/lessI'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/uminus_integer.abs_eq'#@#variant
0. 'hl/thm/calc_num/ARITH_95' 'isa/rel_simps_7'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ABS_NORM_' 'isa/sgn_cis'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/nat_of_natural_inverse'
0. 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant 'isa/fact_mono_nat'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/Rep_rat_inverse'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_BOUNDS_/0'#@#variant 'isa/exp_ge_zero'#@#variant
0. 'hl/thm/int/int_lt_' 'isa/less_natural.abs_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/zero_natural_def'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble_of_nat_simps_3'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_LT_' 'isa/less_eq_int_code_5'#@#variant
0. 'hl/thm/real/REAL_ABS_ZERO_'#@#variant 'isa/complex_cnj_zero_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_52' 'isa/real_sqrt_eq_0_iff'#@#variant
0. 'hl/thm/Library/poly/POLY_CMUL_POLY_DIFF_'#@#variant 'isa/real_root_minus'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant 'isa/Zero_neq_Suc'#@#variant
0. 'hl/thm/realax/REAL_ADD_LDISTRIB_' 'isa/nat_mult_min_right'#@#variant
0. 'hl/thm/calc_num/ARITH_50' 'isa/real_sqrt_eq_0_iff'#@#variant
0. 'hl/thm/nums/IND_SUC_0_' 'isa/num.simps_6'
0. 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant 'isa/powr_le_cancel_iff'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/pred_numeral_simps_1'#@#variant
0. 'hl/thm/Library/rstc/RSTC_INC_RSC_' 'isa/tranclp_into_rtranclp'
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LE_' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_LMUL_' 'isa/trans_less_add2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/Nat.add_0_right'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_25'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_5'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_1_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_6'#@#variant 'isa/real_sqrt_le_0_iff'#@#variant
0. 'hl/thm/Library/rstc/TC_RULES_/1' 'isa/transitive_closurep_trans\'_2'
0. 'hl/thm/arith/MULT_0'#@#variant 'isa/lcm_0_left_int'#@#variant
0. 'hl/thm/real/REAL_LE_ADD2_' 'isa/add_le_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_7'#@#variant
0. 'hl/thm/real/REAL_ABS_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/calc_num/ARITH_86' 'isa/rel_simps_7'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_INJ_' 'isa/exp_inj_iff'#@#variant
0. 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/arith/ADD_0_'#@#variant 'isa/plus_int_code_1'#@#variant
0. 'hl/thm/int/INT_ADD_AC_1' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/real/REAL_EQ_INV2_' 'isa/rel_simps_20'
0. 'hl/thm/realax/HREAL_ADD_RDISTRIB_' 'isa/nat_add_max_left'#@#variant
0. 'hl/thm/int/INT_LE_01_'#@#variant 'isa/less_eq_int_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_MUL_'#@#variant 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/calc_num/ARITH_89' 'isa/less_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/int/INT_LT_POW2_'#@#variant 'isa/two_realpow_ge_one'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_LT_' 'isa/transfer_int_nat_relations_2'#@#variant
0. 'hl/thm/arith/LT_MULT2_' 'isa/mult_le_mono'#@#variant
0. 'hl/thm/int/int_of_num_' 'isa/integer_of_natural_of_nat'#@#variant
0. 'hl/thm/lists/MAP_ID_' 'isa/filtermap_ident'
0. 'hl/thm/calc_num/ARITH_75' 'isa/rel_simps_7'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_7'#@#variant 'isa/arctan_less_zero_iff'#@#variant
0. 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant 'isa/pi_ge_two'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_16'#@#variant
0. 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/nibble_of_nat_of_nibble'
0. 'hl/thm/lists/FILTER_0' 'isa/dropWhile.simps_1'
0. 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant 'isa/num.simps_2'
0. 'hl/thm/arith/MULT_0_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_right'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/int/int_of_num_' 'isa/nat_code_3'
0. 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant 'isa/gcd_semilattice_nat.le_infI'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI2_'#@#variant 'isa/sin_ge_zero'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_INV_MUL_'#@#variant 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NEG_EQ_' 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_66' 'isa/rel_simps_7'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_2'#@#variant 'isa/lcm_ac_int_3'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/uminus_complex.sel_1'#@#variant
0. 'hl/thm/Library/transc/SIN_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/real/REAL_INV_SGN_' 'isa/abs_exp_cancel'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/sgn_integer.abs_eq'#@#variant
0. 'hl/thm/arith/SUB_0'#@#variant 'isa/nat_mult_1_right'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant 'isa/int_of_integer_inject'
0. 'hl/thm/Library/analysis/REAL_DIV_LZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_left'#@#variant
0. 'hl/thm/int/INT_LT_ADD_SUB_' 'isa/less_diff_conv'#@#variant
0. 'hl/thm/real/REAL_MIN_MIN_/1' 'isa/gcd_lcm_lattice_nat.inf_sup_ord_2'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/int/INT_LT_MIN_' 'isa/gcd_greatest_iff_nat'#@#variant
0. 'hl/thm/int/INT_ADD_AC_1' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant 'isa/gcd_0_left_nat'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_19'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_' 'isa/real_sqrt_eq_iff'
0. 'hl/thm/arith/MOD_1_'#@#variant 'isa/log_one'#@#variant
0. 'hl/thm/int/int_lt_' 'isa/zle_int'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/cnj.sel_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/uminus_complex.sel_1'#@#variant
0. 'hl/thm/realax/HREAL_MUL_ASSOC_' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant 'isa/less_int_code_5'#@#variant
0. 'hl/thm/real/REAL_LT_LADD_' 'isa/nat_add_left_cancel_less'#@#variant
0. 'hl/thm/Library/transc/SIN_NEG_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ROOT_NEG_' 'isa/complex_cnj_scaleR'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant 'isa/nat_of_natural_inject'
0. 'hl/thm/int/INT_MUL_AC_2' 'isa/gcd_ac_int_3'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/natural_of_nat_of_natural_inverse'
0. 'hl/thm/int/INT_OF_NUM_GE_' 'isa/less_eq_integer.abs_eq'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/cos_coeff_0'#@#variant
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2' 'isa/lcm_ac_int_3'#@#variant
0. 'hl/thm/nums/IND_SUC_0_' 'isa/num.simps_4'
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_23'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_0'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_7'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INJ_' 'isa/Rep_Nat_inject'
0. 'hl/thm/realax/NADD_EQ_REFL_' 'isa/dvd.order_refl'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_5'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nat_of_num.simps_1'#@#variant
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/Nat.add_0_right'#@#variant
0. 'hl/thm/Library/transc/TAN_NEG_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_LNEG_' 'isa/plus_nat.simps_2'#@#variant
0. 'hl/thm/int/int_le_' 'isa/less_eq_int_code_5'#@#variant
0. 'hl/thm/arith/FACT_MONO_' 'isa/real_sqrt_le_mono'#@#variant
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/nat_of_integer_integer_of_nat'
0. 'hl/thm/int/INT_LE_SUB_LADD_' 'isa/less_diff_conv'#@#variant
0. 'hl/thm/Library/transc/TAN_COT_'#@#variant 'isa/sin_periodic_pi2'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/uminus_integer.abs_eq'#@#variant
0. 'hl/thm/Library/poly/POLY_CMUL_LID_'#@#variant 'isa/real_root_Suc_0'#@#variant
0. 'hl/thm/int/INT_ABS_ZERO_'#@#variant 'isa/arctan_eq_zero_iff'#@#variant
0. 'hl/thm/Library/pocklington/PHI_1_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Library/prime/INDEX_1_'#@#variant 'isa/binomial_n_0'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GE_' 'isa/zless_int'#@#variant
0. 'hl/thm/real/REAL_SGN_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant 'isa/transfer_int_nat_relations_1'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_MUL_'#@#variant 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/arith/FACT_NZ_'#@#variant 'isa/rel_simps_16'
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_1'#@#variant 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/char_of_nat_of_char'
0. 'hl/thm/Multivariate/transcendentals/RPOW_ONE_'#@#variant 'isa/lcm_0_left_int'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/one_complex.sel_2'#@#variant
0. 'hl/thm/int/INT_ADD_LID_'#@#variant 'isa/gcd_nat.left_neutral'#@#variant
0. 'hl/thm/int/INT_NEG_EQ_0_'#@#variant 'isa/csqrt_eq_1'#@#variant
0. 'hl/thm/arith/LE_0_'#@#variant 'isa/dvd_1_left'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/Suc.abs_eq'
0. 'hl/thm/Library/floor/INTEGER_CLOSED_0' 'isa/Nat_Rep_Nat'
0. 'hl/thm/int/INT_ABS_MUL_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/arith/LEFT_ADD_DISTRIB_' 'isa/int_distrib_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant 'isa/inverse_sgn'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_NEG_' 'isa/inc.simps_3'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CX_' 'isa/cis.sel_2'#@#variant
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INJ_' 'isa/int_of_integer_inject'
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/Int.dup_code_2'
0. 'hl/thm/Library/transc/TAN_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/nums/NUM_REP_RULES_0' 'isa/pi_gt_zero'#@#variant
0. 'hl/thm/nums/BIT0_DEF_0'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_4' 'isa/gcd_nat.left_idem'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_DIV_' 'isa/int_distrib_3'#@#variant
0. 'hl/thm/lists/AND_ALL_' 'isa/eventually_frequently_simps_8'
0. 'hl/thm/int/INT_ABS_SGN_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/int/INT_MUL_AC_2' 'isa/lcm_ac_int_3'#@#variant
0. 'hl/thm/arith/LT_0_'#@#variant 'isa/exp_ge_zero'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_8'#@#variant 'isa/arctan_le_zero_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ROOT_MUL_' 'isa/real_root_divide'#@#variant
0. 'hl/thm/int/INT_MUL_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nat_of_nibble.simps_2'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RDISTRIB_' 'isa/nat_mult_min_left'#@#variant
0. 'hl/thm/arith/LE_ADD2_' 'isa/mult_le_mono'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble_of_nat_simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_' 'isa/Suc_mono'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/Suc.rep_eq'
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/cos_coeff_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_DIV_' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/int/INT_MUL_RZERO_'#@#variant 'isa/times_integer_code_1'#@#variant
0. 'hl/thm/nums/NUM_REP_RULES_0' 'isa/Nat_Transfer.transfer_int_nat_function_closures_5'#@#variant
0. 'hl/thm/real/REAL_LE_01_'#@#variant 'isa/pi_ge_zero'#@#variant
0. 'hl/thm/Library/transc/ATN_/1'#@#variant 'isa/arctan_bounded/1'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_2_'#@#variant 'isa/int_one_le_iff_zero_less'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant 'isa/nat_of_num_pos'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/ii.sel_1'#@#variant
0. 'hl/thm/int/INT_NEG_ADD_' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_SIN_'#@#variant 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ABS_NORM_' 'isa/abs_int_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_' 'isa/arctan_monotone'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_6'#@#variant
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/nat_mult_1_right'#@#variant
0. 'hl/thm/realax/REAL_ADD_LID_'#@#variant 'isa/max_0L'#@#variant
0. 'hl/thm/Library/rstc/RTC_RULES_/2' 'isa/transitive_closurep_trans\'_2'
0. 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_1' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/lists/BUTLAST_0' 'isa/remdups.simps_1'
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_21'#@#variant
0. 'hl/thm/arith/TWO_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_2'#@#variant 'isa/gcd_0_left_nat'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_1_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/arith/EXP_MULT_' 'isa/powr_powr'#@#variant
0. 'hl/thm/Library/transc/TAN_POS_PI2_'#@#variant 'isa/tan_gt_zero'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_3'#@#variant
0. 'hl/thm/int/INT_SUB_LDISTRIB_' 'isa/nat_add_max_right'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/pow.simps_1'
0. 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_STRONG_'#@#variant 'isa/Nat.intros_2'
0. 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/int/INT_LE_REFL_' 'isa/dvd.order_refl'#@#variant
0. 'hl/thm/calc_num/ARITH_6' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/nums/SUC_INJ_' 'isa/natural.simps_1'
0. 'hl/thm/Library/transc/ATN_1_'#@#variant 'isa/arctan_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RDISTRIB_' 'isa/nat_mult_min_left'#@#variant
0. 'hl/thm/Multivariate/vectors/REAL_LE_RSQRT_'#@#variant 'isa/real_less_rsqrt'#@#variant
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_POS_LE_'#@#variant 'isa/zero_less_Suc'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_' 'isa/fact_mono_nat'#@#variant
0. 'hl/thm/calc_num/ARITH_2' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/calc_num/ARITH_6' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_DIV_' 'isa/nat_add_max_left'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/one_real_code'#@#variant
0. 'hl/thm/real/REAL_ABS_SGN_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant 'isa/rel_simps_19'
0. 'hl/thm/Multivariate/transcendentals/TAN_MONO_LT_'#@#variant 'isa/sin_monotone_2pi_le'#@#variant
0. 'hl/thm/Library/transc/SQRT_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/uminus_integer.abs_eq'#@#variant
0. 'hl/thm/Library/prime/INDEX_0_'#@#variant 'isa/times_integer_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_2' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/calc_num/ARITH_97' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/Library/transc/COS_PERIODIC_PI_' 'isa/cos_minus_pi'#@#variant
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/calc_num/ARITH_94' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/realax/REAL_INV_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_LMUL2_EQ_'#@#variant 'isa/zdvd_mono'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_9'#@#variant 'isa/complex_cnj_zero_iff'#@#variant
0. 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant 'isa/nat_mult_dvd_cancel1'#@#variant
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Library/rstc/SC_INC_' 'isa/r_into_rtranclp'
0. 'hl/thm/nums/ZERO_DEF_' 'isa/int_0'#@#variant
0. 'hl/thm/real/REAL_EQ_NEG2_' 'isa/rel_simps_23'
0. 'hl/thm/arith/MULT_0'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_left'#@#variant
0. 'hl/thm/calc_num/ARITH_88' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_ADD_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/int/int_eq_' 'isa/quotient_of_inject_eq'#@#variant
0. 'hl/thm/calc_num/ARITH_87' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/nums/IND_SUC_0_' 'isa/natural.simps_2'#@#variant
0. 'hl/thm/calc_num/ARITH_84' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/uminus_integer.rep_eq'#@#variant
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Library/transc/ATN_NEG_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/int/INT_OF_NUM_EQ_' 'isa/nat_of_char_eq_iff'
0. 'hl/thm/real/REAL_ABS_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/Library/transc/ATN_BOUNDS_/1'#@#variant 'isa/cos_le_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/real/REAL_MIN_ASSOC_' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/int/INT_LE_REFL_' 'isa/dvd.order.refl'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_NEG_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/realax/TREAL_ADD_WELLDEF_'#@#variant 'isa/add_less_mono'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_LE_' 'isa/less_eq_integer_code_5'#@#variant
0. 'hl/thm/int/INT_ABS_ZERO_'#@#variant 'isa/csqrt_eq_0'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_25'#@#variant
0. 'hl/thm/realax/HREAL_LE_ADD_' 'isa/gcd_lcm_lattice_nat.inf_sup_ord_3'#@#variant
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/calc_num/ARITH_78' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_77' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/int/INT_MIN_ACI_4' 'isa/gcd_nat.left_idem'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_MUL_'#@#variant 'isa/ln_div'#@#variant
0. 'hl/thm/int/INT_MIN_ASSOC_' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_0' 'isa/Nat_Transfer.transfer_nat_int_function_closures_9'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI_'#@#variant 'isa/sin_gt_zero_02'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/one_integer_code'#@#variant
0. 'hl/thm/calc_num/ARITH_74' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/uminus_integer.rep_eq'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_LT_' 'isa/less_integer.abs_eq'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_1_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant 'isa/powr_less_cancel_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_'#@#variant 'isa/Nat.intros_2'
0. 'hl/thm/Library/integer/INT_DIVIDES_ADD_' 'isa/gcd_greatest_int'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/nat_mult_1_right'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_MUL_LCANCEL_'#@#variant 'isa/mult_cancel1'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant 'isa/exp_gt_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/Int.dup_code_3'
0. 'hl/thm/int/INT_OF_NUM_LE_' 'isa/real_less_eq_code'#@#variant
0. 'hl/thm/realarith/REAL_ENTIRE_'#@#variant 'isa/lcm_0_iff_nat'#@#variant
0. 'hl/thm/arith/ODD_EXP_'#@#variant 'isa/nat_zero_less_power_iff'#@#variant
0. 'hl/thm/Library/analysis/SUB_OLD_0'#@#variant 'isa/times_nat.simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PERIODIC_PI_' 'isa/cos_periodic'#@#variant
0. 'hl/thm/Library/rstc/RTC_INC_' 'isa/r_into_rtranclp'
0. 'hl/thm/nums/ZERO_DEF_' 'isa/zero_complex.sel_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Library/transc/ATN_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/lists/ALL_MP_' 'isa/eventually_mp'
0. 'hl/thm/Library/transc/LN_INV_'#@#variant 'isa/ln_inverse'#@#variant
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/Library/pratt/PHI_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/int/INT_EQ_MUL_LCANCEL_'#@#variant 'isa/nat_mult_eq_cancel_disj'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_MONO_LE_EQ_'#@#variant 'isa/tan_monotone\''#@#variant
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GT_' 'isa/less_eq_natural.abs_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PERIODIC_PI_' 'isa/sin_minus_pi'#@#variant
0. 'hl/thm/calc_num/ARITH_68' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/nums/BIT1_DEF_' 'isa/one_plus_BitM'#@#variant
0. 'hl/thm/int/int_le_' 'isa/zless_int'#@#variant
0. 'hl/thm/arith/MOD_0_'#@#variant 'isa/binomial.simps_1/1'#@#variant
0. 'hl/thm/calc_num/ARITH_67' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/Library/transc/ATN_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_' 'isa/dvd_antisym'#@#variant
0. 'hl/thm/Library/transc/ATN_BOUNDS_/1'#@#variant 'isa/sin_le_one'#@#variant
0. 'hl/thm/calc_num/ARITH_64' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/int/INT_NEG_ADD_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_POS_LT_'#@#variant 'isa/cos_ge_minus_one'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/Rep_rat_inverse'#@#variant
0. 'hl/thm/arith/RIGHT_ADD_DISTRIB_' 'isa/int_distrib_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nat_of_nibble.simps_4'#@#variant
0. 'hl/thm/calc_num/ARITH_3' 'isa/inverse_i'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/realax/REAL_ADD_LID_'#@#variant 'isa/gcd_0_left_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_POS_PI2_'#@#variant 'isa/sin_gt_zero'#@#variant
0. 'hl/thm/realax/NADD_EQ_TRANS_' 'isa/dvd.dual_order.trans'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/zero_integer.rep_eq'#@#variant
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/Int.dup_code_3'
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/calc_num/ARITH_58' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/Library/transc/SIN_NPI_'#@#variant 'isa/tan_npi'#@#variant
0. 'hl/thm/nums/IND_SUC_0_' 'isa/Suc_Rep_not_Zero_Rep'
0. 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant 'isa/Suc_neq_Zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant 'isa/pi_less_4'#@#variant
0. 'hl/thm/realax/TREAL_EQ_AP_'#@#variant 'isa/dvd.eq_refl'#@#variant
0. 'hl/thm/arith/ADD_0_'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/realax/NADD_LE_TOTAL_' 'isa/nat_le_linear'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/arith/MULT_ASSOC_' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/nat_of_num_inverse'
0. 'hl/thm/realax/HREAL_ADD_AC_2' 'isa/gcd_ac_nat_3'#@#variant
0. 'hl/thm/arith/EXP_MULT_' 'isa/Divides.div_mult2_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/arith/EXP_0'#@#variant 'isa/binomial_n_0'#@#variant
0. 'hl/thm/real/REAL_SUB_LDISTRIB_' 'isa/nat_distrib_2'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/real/REAL_MAX_MAX_/0' 'isa/lcm_semilattice_nat.sup.cobounded1'#@#variant
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/arith/LE_ADD2_' 'isa/lcm_semilattice_nat.sup_mono'#@#variant
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/Code_Numeral.dup_code_2'
0. 'hl/thm/int/INT_ENTIRE_'#@#variant 'isa/mult_is_0'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_1'#@#variant 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_2_'#@#variant 'isa/Nat.intros_1'
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nat_of_nibble.simps_1'#@#variant
0. 'hl/thm/int/INT_LE_LMUL_'#@#variant 'isa/powr_less_mono'#@#variant
0. 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GE_' 'isa/real_less_code'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_TRANS_' 'isa/le_trans'#@#variant
0. 'hl/thm/calc_num/ARITH_98' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant 'isa/le_imp_0_less'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_32'#@#variant
0. 'hl/thm/arith/FACT_NZ_'#@#variant 'isa/Suc_Rep_not_Zero_Rep'
0. 'hl/thm/realax/REAL_OF_NUM_EQ_' 'isa/nat_of_nibble_eq_iff'
0. 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_'#@#variant 'isa/powr_mono'#@#variant
0. 'hl/thm/Library/transc/SQRT_MONO_LE_'#@#variant 'isa/fact_less_mono_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/real_inverse_code'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NUM_' 'isa/less_int_code_2'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/Rep_int_inverse'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_1' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/int/INT_ABS_SGN_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/nat_mult_1_right'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NEG_' 'isa/inc.simps_3'
0. 'hl/thm/Library/pocklington/PHI_PRIME_'#@#variant 'isa/powr_half_sqrt'#@#variant
0. 'hl/thm/Library/transc/SQRT_1_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/real/REAL_INV_1_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/arith/DIV_1_'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/arith/RIGHT_ADD_DISTRIB_' 'isa/nat_add_max_left'#@#variant
0. 'hl/thm/real/REAL_LE_SUB_RADD_' 'isa/le_diff_conv'#@#variant
0. 'hl/thm/realax/HREAL_LE_EXISTS_' 'isa/le_Suc_ex'#@#variant
0. 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant 'isa/m2pi_less_pi'#@#variant
0. 'hl/thm/realax/HREAL_MUL_LZERO_'#@#variant 'isa/min_0L'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_9'#@#variant 'isa/csqrt_eq_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/choose_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/nat_of_natural_of_nat'#@#variant
0. 'hl/thm/Library/analysis/REAL_10_'#@#variant 'isa/complex_i_not_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_EQ_'#@#variant 'isa/powr_less_cancel_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant 'isa/ln_gt_zero'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_EQ_' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/MONOIDAL_COMPLEX_MUL_'#@#variant 'isa/lcm_semilattice_nat.Sup_fin.semilattice_set_axioms'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_RMUL_' 'isa/add_Suc_right'#@#variant
0. 'hl/thm/real/REAL_MAX_ASSOC_' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/int/INT_NEG_MINUS1_'#@#variant 'isa/minus_integer_code_2'#@#variant
0. 'hl/thm/arith/DIV_1_'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_ADD_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_NEG_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/real/REAL_ABS_1_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/Library/prime/DIVIDES_ADD_' 'isa/gcd_nat.boundedI'#@#variant
0. 'hl/thm/int/int_le_' 'isa/less_natural.abs_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_MUL_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/realax/REAL_MUL_ASSOC_' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Library/transc/TAN_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_0'#@#variant 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_0_'#@#variant 'isa/Real.positive_zero'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nat_of_nibble.simps_2'#@#variant
0. 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/lists/MAP_ID_' 'isa/option.map_ident'
0. 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_4'#@#variant 'isa/real_sqrt_eq_0_iff'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_'#@#variant 'isa/sin_ge_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_'#@#variant 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/int/INT_ABS_MUL_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_TOTAL_'#@#variant 'isa/exp_total'#@#variant
0. 'hl/thm/Library/transc/SQRT_POS_LT_'#@#variant 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble_of_nat_simps_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PERIODIC_NPI_' 'isa/tan_periodic_n'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GT_' 'isa/zle_int'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI2_'#@#variant 'isa/cos_gt_zero'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NEG_' 'isa/Nat.intros_2'
0. 'hl/thm/real/REAL_LE_LMUL_'#@#variant 'isa/powr_less_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/unit.size_1'#@#variant
0. 'hl/thm/int/INT_SUB_RDISTRIB_' 'isa/nat_mult_min_left'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI2_'#@#variant 'isa/tan_pos_pi2_le'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_LT_0_'#@#variant 'isa/Re_complex_div_le_0'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/real/REAL_LT_01_'#@#variant 'isa/pi_gt_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_8'#@#variant
0. 'hl/thm/int/int_eq_' 'isa/int_int_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/Library/analysis/SUB_OLD_0'#@#variant 'isa/lcm_0_left_nat'#@#variant
0. 'hl/thm/int/int_eq_' 'isa/explode_inject'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/minus_nat.simps_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/Int.dup_code_3'
0. 'hl/thm/Library/transc/LN_MONO_LE_'#@#variant 'isa/ln_less_cancel_iff'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/arith/LEFT_SUB_DISTRIB_' 'isa/nat_mult_max_right'#@#variant
0. 'hl/thm/realax/NADD_OF_NUM_LE_' 'isa/real_less_eq_code'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/Real.positive_add'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/abs_integer.rep_eq'#@#variant
0. 'hl/thm/calc_num/ARITH_7' 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/realax/REAL_ADD_LID_'#@#variant 'isa/nat_mult_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant 'isa/Nat_Rep_Nat'
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/int_Suc'#@#variant
0. 'hl/thm/Library/rstc/RSC_INC_SC_' 'isa/tranclp_into_rtranclp'
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_31'#@#variant
0. 'hl/thm/arith/SUB_EQ_0_'#@#variant 'isa/binomial_eq_0_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_' 'isa/Suc_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/zero_integer_def'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/calc_num/ARITH_1' 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/pow.simps_1'
0. 'hl/thm/int/int_sgn_th_' 'isa/cis_inverse'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_ASSOC_'#@#variant 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/Library/transc/MULT_DIV_2_'#@#variant 'isa/diff_Suc_1'#@#variant
0. 'hl/thm/real/REAL_MIN_MIN_/1' 'isa/gcd_dvd2_nat'#@#variant
0. 'hl/thm/Library/analysis/SUB_LEFT_GREATER_EQ_' 'isa/le_diff_conv'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/transfer_int_nat_numerals_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LT_' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/lists/MEM_1' 'isa/insert_iff'
0. 'hl/thm/Library/analysis/SUB_OLD_0'#@#variant 'isa/times_int_code_2'#@#variant
0. 'hl/thm/Library/analysis/LESS_MONO_ADD_' 'isa/div_le_mono'#@#variant
0. 'hl/thm/Library/pocklington/ORDER_1_'#@#variant 'isa/min_0R'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_28'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ABS_PI_' 'isa/BitM.simps_1'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/ii.sel_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_MONO_LT_'#@#variant 'isa/cos_monotone_minus_pi_0'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_DIV_'#@#variant 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_1_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/int/int_le_' 'isa/zle_int'#@#variant
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/calc_num/ARITH_97' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/int/INT_SUB_LE_'#@#variant 'isa/zero_less_diff'#@#variant
0. 'hl/thm/int/INT_LT_NEGTOTAL_'#@#variant 'isa/Rat.positive_minus'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_GT_0_'#@#variant 'isa/Im_complex_div_ge_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_'#@#variant 'isa/pos2'#@#variant
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/calc_num/ARITH_94' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_NEG_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/Library/floor/FLOOR_FRAC_/0' 'isa/sin_ge_minus_one'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_0'#@#variant 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/Library/analysis/DORDER_NGE_' 'isa/symp_ratrel'#@#variant
0. 'hl/thm/realax/REAL_MUL_LID_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_left'#@#variant
0. 'hl/thm/Library/transc/SQRT_1_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Library/rstc/TC_TRANS_L_' 'isa/tranclp.intros_2'
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/real_inverse_code'#@#variant
0. 'hl/thm/arith/MULT_0'#@#variant 'isa/diff_0_eq_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PERIODIC_'#@#variant 'isa/tan_periodic'#@#variant
0. 'hl/thm/realax/REAL_ADD_LID_'#@#variant 'isa/plus_nat.simps_1'#@#variant
0. 'hl/thm/int/INT_LT_01_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_5'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_POW_MUL_' 'isa/gcd_exp_int'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_POS_PI2_'#@#variant 'isa/sin_gt_zero_02'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant 'isa/inverse_sgn'#@#variant
0. 'hl/thm/Library/rstc/RSTC_RULES_/1' 'isa/rtranclp.intros_1'
0. 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant 'isa/gcd_greatest_int'#@#variant
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant 'isa/dvd.order.refl'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant 'isa/rel_simps_17'
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/uminus_integer.abs_eq'#@#variant
0. 'hl/thm/int/INT_ABS_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Library/transc/TAN_BOUND_PI2_'#@#variant 'isa/tan_bound_pi2'#@#variant
0. 'hl/thm/calc_num/ARITH_88' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/calc_num/ARITH_87' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/realax/NADD_INV_WELLDEF_' 'isa/exp_less_mono'#@#variant
0. 'hl/thm/calc_num/ARITH_84' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/real/REAL_SGN_MUL_' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/real/REAL_SUB_RDISTRIB_' 'isa/int_distrib_1'#@#variant
0. 'hl/thm/Library/prime/PRIME_2_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_5'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/arith/DIV_LT_'#@#variant 'isa/diff_is_0_eq\''#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_POW_DIV_'#@#variant 'isa/gcd_exp_int'#@#variant
0. 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant 'isa/powr_mono'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_MUL_R_' 'isa/div_le_mono'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RDISTRIB_' 'isa/nat_add_max_left'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/one_integer_def'#@#variant
0. 'hl/thm/realax/NADD_LDISTRIB_' 'isa/gcd_lcm_lattice_nat.distrib_sup_le'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_AC_1'#@#variant 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/Library/transc/SIN_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/real/REAL_LE_ADD2_' 'isa/lcm_semilattice_nat.sup_mono'#@#variant
0. 'hl/thm/calc_num/ARITH_30' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_6'#@#variant 'isa/sgn_le_0_iff'#@#variant
0. 'hl/thm/real/REAL_SGN_NEG_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/calc_num/ARITH_78' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/realarith/REAL_SUB_LE_'#@#variant 'isa/zero_less_diff'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/transfer_nat_int_numerals_3'#@#variant
0. 'hl/thm/calc_num/ARITH_77' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/transfer_int_nat_numerals_3'#@#variant
0. 'hl/thm/calc_num/ARITH_74' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_2'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_EQ_' 'isa/explode_inject'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/minus_int_code_1'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_1' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/arith/LEFT_SUB_DISTRIB_' 'isa/nat_mult_min_right'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_TOTAL_'#@#variant 'isa/gr0_implies_Suc'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_2' 'isa/lcm_ac_nat_3'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/real/REAL_LT_NEGTOTAL_'#@#variant 'isa/Real.positive_minus'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_SUB_' 'isa/gcd_greatest_int'#@#variant
0. 'hl/thm/int/INT_ABS_POS_'#@#variant 'isa/cos_ge_minus_one'#@#variant
0. 'hl/thm/arith/SUB_0'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_26'#@#variant
0. 'hl/thm/Library/transc/TAN_TOTAL_LEMMA_'#@#variant 'isa/lemma_tan_total'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/calc_num/ARITH_57' 'isa/complex_cnj_cancel_iff'
0. 'hl/thm/calc_num/ARITH_20' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/calc_num/ARITH_54' 'isa/complex_cnj_cancel_iff'
0. 'hl/thm/int/INT_OF_NUM_LT_' 'isa/less_integer_code_5'#@#variant
0. 'hl/thm/int/INT_MUL_RNEG_' 'isa/add_inc'#@#variant
0. 'hl/thm/arith/EXP_ONE_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_left'#@#variant
0. 'hl/thm/calc_num/ARITH_68' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/calc_num/ARITH_67' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/arith/LE_ADD2_' 'isa/lcm_semilattice_nat.sup.mono'#@#variant
0. 'hl/thm/calc_num/ARITH_104' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/Complex/cpoly/POLY_DIVIDES_REFL_'#@#variant 'isa/dvd.order_refl'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_26'#@#variant
0. 'hl/thm/realax/HREAL_MUL_ASSOC_' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RDISTRIB_' 'isa/nat_add_max_left'#@#variant
0. 'hl/thm/calc_num/ARITH_64' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/arith/ODD_1' 'isa/even_Suc'#@#variant
0. 'hl/thm/calc_num/ARITH_18' 'isa/arith_simps_8'#@#variant
0. 'hl/thm/Library/transc/ATN_TAN_' 'isa/ln_exp'#@#variant
0. 'hl/thm/int/INT_LT_TOTAL_' 'isa/linorder_neqE_nat'#@#variant
0. 'hl/thm/calc_num/ARITH_16' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/arith/FACT_LT_'#@#variant 'isa/cos_ge_minus_one'#@#variant
0. 'hl/thm/int/INT_ADD_LID_'#@#variant 'isa/gcd_0_left_nat'#@#variant
0. 'hl/thm/real/REAL_SGN_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_48' 'isa/complex_cnj_cancel_iff'
0. 'hl/thm/Library/pratt/PHI_1_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_10' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LZERO_'#@#variant 'isa/times_nat.simps_1'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_EQ_' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/int/int_gt_' 'isa/transfer_int_nat_relations_2'#@#variant
0. 'hl/thm/arith/FACT_LT_'#@#variant 'isa/zero_less_Suc'#@#variant
0. 'hl/thm/real/REAL_EQ_INV2_' 'isa/rel_simps_23'
0. 'hl/thm/calc_int/REAL_ADD_AC_1' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_MONO_LT_'#@#variant 'isa/ln_le_cancel_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_58' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_29'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_MUL2_' 'isa/lcm_semilattice_nat.sup_mono'#@#variant
0. 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/numerals_1'#@#variant
0. 'hl/thm/Library/transc/SQRT_POS_LT_'#@#variant 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_0'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_6'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble_of_nat_simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ABS_PI_' 'isa/sqr.simps_1'
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble_of_nat_simps_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/eval_nat_numeral_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant 'isa/num.simps_6'
0. 'hl/thm/real/REAL_LT_SUB_RADD_' 'isa/less_diff_conv'#@#variant
0. 'hl/thm/Multivariate/complexes/MONOIDAL_COMPLEX_MUL_'#@#variant 'isa/gcd_nat.semilattice_axioms'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/abs_integer.rep_eq'#@#variant
0. 'hl/thm/realax/REAL_MUL_ASSOC_' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/Library/transc/LN_MUL_'#@#variant 'isa/ln_div'#@#variant
0. 'hl/thm/int/INT_SGN_MUL_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/int_Suc'#@#variant
0. 'hl/thm/real/REAL_SUB_LDISTRIB_' 'isa/gcd_mult_distrib_nat'#@#variant
0. 'hl/thm/int/INT_MUL_AC_1' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_SUB_' 'isa/gcd_semilattice_nat.inf_greatest'#@#variant
0. 'hl/thm/real/REAL_SGN_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/realax/HREAL_ADD_AC_1' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/nat_of_natural_of_nat_inverse'
0. 'hl/thm/real/REAL_INV_EQ_0_'#@#variant 'isa/real_sqrt_eq_0_iff'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant 'isa/gcd_Suc_0'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LID_'#@#variant 'isa/gcd_nat.left_neutral'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_EQ_' 'isa/STR_inject\''#@#variant
0. 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_GE_0_'#@#variant 'isa/complex_div_gt_0/1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_EQ_' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/natural_of_nat_of_natural_inverse'
0. 'hl/thm/Library/integer/INT_PRIME_2_'#@#variant 'isa/pi_half_ge_zero'#@#variant
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/int_of_integer_integer_of_int'
0. 'hl/thm/real/REAL_SUB_ADD_' 'isa/diff_add_inverse2'#@#variant
0. 'hl/thm/Library/transc/pi_'#@#variant 'isa/pi_def'#@#variant
0. 'hl/thm/arith/ADD_EQ_0_'#@#variant 'isa/gcd_zero_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ARG_/1'#@#variant 'isa/less_eq_int_code_7'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/arith/LE_SUC_' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_LE_0_'#@#variant 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/Library/transc/SIN_ZERO_LEMMA_'#@#variant 'isa/sin_zero_lemma'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/zero_natural.rep_eq'#@#variant
0. 'hl/thm/real/REAL_ADD_RDISTRIB_' 'isa/nat_mult_min_left'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nat_of_nibble.simps_2'#@#variant
0. 'hl/thm/Library/pocklington/PHI_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/int/INT_MIN_ACI_2' 'isa/gcd_ac_nat_3'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/integer_of_int_int_of_integer'
0. 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant 'isa/rel_simps_10'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/integer_of_int_int_of_integer'
0. 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant 'isa/arctan_eq_iff'
0. 'hl/thm/Library/floor/FLOOR_FRAC_/0' 'isa/exp_ge_zero'#@#variant
0. 'hl/thm/int/INT_ABS_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/calc_int/REAL_NEG_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MUL_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_TRIANGLE_' 'isa/real_of_int_div4'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/one_complex.sel_1'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant 'isa/mult_less_mono2'#@#variant
0. 'hl/thm/Library/transc/TAN_NPI_'#@#variant 'isa/tan_npi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_POS_LE_'#@#variant 'isa/sin_ge_minus_one'#@#variant
0. 'hl/thm/realax/NADD_MUL_WELLDEF_' 'isa/mult_le_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/one_real_code'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/zero_complex.sel_1'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI_'#@#variant 'isa/sin_gt_zero2'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_INJ_' 'isa/num.simps_1'
0. 'hl/thm/Multivariate/transcendentals/ATN_ABS_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/arith/MULT_EQ_1_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_eq_bot_iff'#@#variant
0. 'hl/thm/real/REAL_ADD_SUB_' 'isa/diff_add_inverse'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_DIV_'#@#variant 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_POW_INV_' 'isa/real_sqrt_power'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LE_EQ_' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/realax/NADD_OF_NUM_LE_' 'isa/less_eq_integer.abs_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_INV_EQ_' 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/explode_inverse'#@#variant
0. 'hl/thm/Library/floor/FLOOR_MONO_' 'isa/exp_less_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/sgn_integer.abs_eq'#@#variant
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/integer_of_int_int_of_integer'
0. 'hl/thm/int/INT_SGN_INEQS_1'#@#variant 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/realax/HREAL_ADD_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_INJ_'#@#variant 'isa/arcsin_eq_iff'#@#variant
0. 'hl/thm/Library/floor/FLOOR_NUM_' 'isa/abs_int_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LZERO_'#@#variant 'isa/power_Suc_0'#@#variant
0. 'hl/thm/trivia/one_tydef_0' 'isa/Rep_unit_inverse'
0. 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_' 'isa/fact_mono_nat'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/pred_numeral_simps_1'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant 'isa/quotient_of_inject_eq'#@#variant
0. 'hl/thm/real/REAL_LT_IMP_NE_' 'isa/less_not_refl3'#@#variant
0. 'hl/thm/Library/transc/PI_POS_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_6'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GE_' 'isa/less_eq_natural.abs_eq'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_6'#@#variant 'isa/real_sqrt_le_0_iff'#@#variant
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/zero_integer.rep_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/Code_Numeral.dup_code_2'
0. 'hl/thm/arith/MULT_EXP_' 'isa/min_diff'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NUM_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_9'#@#variant
0. 'hl/thm/real/REAL_EQ_IMP_LE_' 'isa/dvd.eq_refl'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_LMUL_' 'isa/trans_le_add2'#@#variant
0. 'hl/thm/Library/transc/PI2_BOUNDS_0'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_6'#@#variant
0. 'hl/thm/realax/HREAL_ADD_AC_2' 'isa/lcm_ac_int_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Multivariate/vectors/VECTOR_MUL_RNEG_'#@#variant 'isa/drop_tl'
0. 'hl/thm/arith/DIV_1_'#@#variant 'isa/Nat.add_0_right'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_ADD_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_EQ_' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_POS_LE_'#@#variant 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_' 'isa/exp_less_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/Library/poly/POLY_ADD_ASSOC_'#@#variant 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LT_' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_GE_0_'#@#variant 'isa/complex_div_gt_0/0'#@#variant
0. 'hl/thm/int/INT_MIN_ASSOC_' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/Re_complex_of_real'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/sgn_integer.rep_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/nat_of_integer_of_nat'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/int_1'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_EQ_' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/real/REAL_ABS_LE_' 'isa/lessI'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_4'#@#variant
0. 'hl/thm/Multivariate/metric/EVENTUALLY_AND_' 'isa/eventually_frequently_simps_8'
0. 'hl/thm/real/REAL_SGN_DIV_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/trivia/I_DEF_' 'isa/Basic_BNF_LFPs.ctor_rec_def'
0. 'hl/thm/real/REAL_POW_MUL_' 'isa/gcd_exp_int'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/of_nat_of_natural'#@#variant
0. 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/nat_mult_1_right'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_6'#@#variant 'isa/real_sqrt_lt_0_iff'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/int_of_integer_inverse'
0. 'hl/thm/nums/ZERO_DEF_' 'isa/ii.sel_2'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/Library/rstc/STC_INC_' 'isa/r_into_rtranclp'
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/abs_integer.abs_eq'#@#variant
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/real/REAL_LE_MIN_' 'isa/gcd_greatest_iff_int'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/plus_int_code_1'#@#variant
0. 'hl/thm/arith/ADD1_'#@#variant 'isa/gcd_0_int'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/nat_of_natural_of_nat'#@#variant
0. 'hl/thm/nums/NUM_REP_RULES_0' 'isa/Nat_Transfer.transfer_nat_int_function_closures_5'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI2_'#@#variant 'isa/sin_gt_zero_02'#@#variant
0. 'hl/thm/arith/MULT_EQ_1_'#@#variant 'isa/add_is_0'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_3' 'isa/gcd_idem_nat'#@#variant
0. 'hl/thm/int/INT_EQ_NEG2_' 'isa/arctan_eq_iff'
0. 'hl/thm/arith/SUB_0'#@#variant 'isa/plus_int_code_1'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_NEG_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant 'isa/rel_simps_1'#@#variant
0. 'hl/thm/arith/EXP_MONO_LE_IMP_' 'isa/add_less_mono1'#@#variant
0. 'hl/thm/Library/transc/COS_ZERO_'#@#variant 'isa/cos_zero_iff'#@#variant
0. 'hl/thm/Library/rstc/RTC_RULES_/0' 'isa/r_into_rtranclp'
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/arith/FACT_NZ_'#@#variant 'isa/Zero_neq_Suc'#@#variant
0. 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant 'isa/ln_gt_zero'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_2' 'isa/lcm_ac_nat_3'#@#variant
0. 'hl/thm/Library/transc/COS_POS_PI2_'#@#variant 'isa/cot_gt_zero'#@#variant
0. 'hl/thm/Multivariate/metric/ALWAYS_EVENTUALLY_' 'isa/eventuallyI'
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/uminus_integer.rep_eq'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/nat_of_num_inc'
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/calc_num/ARITH_104' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/Multivariate/vectors/VECTOR_EQ_NEG2_'#@#variant 'isa/rev_is_rev_conv'
0. 'hl/thm/int/INT_ABS_POS_'#@#variant 'isa/sin_ge_minus_one'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/int_1'#@#variant
0. 'hl/thm/int/INT_MIN_MIN_/1' 'isa/gcd_dvd2_int'#@#variant
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/arith/ADD_AC_2' 'isa/lcm_ac_nat_3'#@#variant
0. 'hl/thm/Library/isum/MONOIDAL_INT_ADD_' 'isa/gcd_semilattice_nat.Inf_fin.semilattice_set_axioms'#@#variant
0. 'hl/thm/arith/LT_SUC_' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant 'isa/explode_inject'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/Suc.abs_eq'
0. 'hl/thm/Library/integer/INT_PRIME_1_'#@#variant 'isa/Real.positive_zero'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant 'isa/dvd.order_refl'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_1_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/calc_num/ARITH_96' 'isa/rel_simps_5'#@#variant
0. 'hl/thm/real/REAL_LT_MIN_' 'isa/gcd_semilattice_nat.le_inf_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_' 'isa/Suc_Rep_inject\''
0. 'hl/thm/int/int_sgn_th_' 'isa/sgn_integer.abs_eq'#@#variant
0. 'hl/thm/int/INT_LT_ADD_SUB_' 'isa/le_diff_conv'#@#variant
0. 'hl/thm/Library/analysis/LESS_SUC_REFL_' 'isa/fact_ge_self'#@#variant
0. 'hl/thm/Library/floor/FLOOR_MONO_' 'isa/real_sqrt_le_mono'#@#variant
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/Library/pocklington/PHI_LOWERBOUND_2_'#@#variant 'isa/exp_gt_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_' 'isa/rel_simps_20'
0. 'hl/thm/real/REAL_SGN_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_AC_2' 'isa/lcm_ac_nat_3'#@#variant
0. 'hl/thm/realax/TREAL_ADD_WELLDEF_'#@#variant 'isa/lcm_semilattice_nat.sup.mono'#@#variant
0. 'hl/thm/real/REAL_INV_MUL_' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/sgn_integer.abs_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/arith/LEFT_ADD_DISTRIB_' 'isa/nat_mult_min_right'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_POS_LT_'#@#variant 'isa/ln_ge_zero'#@#variant
0. 'hl/thm/real/REAL_SGN_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/Code_Numeral.dup_code_2'
0. 'hl/thm/int/int_gt_' 'isa/transfer_int_nat_relations_3'#@#variant
0. 'hl/thm/arith/ADD_ASSOC_' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/calc_num/ARITH_85' 'isa/rel_simps_5'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_3' 'isa/lcm_semilattice_nat.sup_idem'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GE_' 'isa/zle_int'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_INV_MUL_'#@#variant 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/Suc.rep_eq'
0. 'hl/thm/Library/poly/POLYDIFF_ADD_'#@#variant 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/real/REAL_LT_ADD_SUB_' 'isa/less_diff_conv'#@#variant
0. 'hl/thm/real/REAL_INV_NEG_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_ADD_' 'isa/gcd_semilattice_nat.inf_greatest'#@#variant
0. 'hl/thm/Multivariate/metric/ALWAYS_EVENTUALLY_' 'isa/not_eventuallyD'
0. 'hl/thm/real/REAL_INV_1_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Multivariate/vectors/VECTOR_MUL_ASSOC_'#@#variant 'isa/drop_drop'#@#variant
0. 'hl/thm/realax/HREAL_ADD_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/int/int_sgn_th_' 'isa/uminus_complex.sel_2'#@#variant
0. 'hl/thm/real/REAL_LE_01_'#@#variant 'isa/pi_gt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/real/REAL_ABS_POW_' 'isa/real_sqrt_power'#@#variant
0. 'hl/thm/calc_num/ARITH_76' 'isa/rel_simps_5'#@#variant
0. 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/minus_int_code_1'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_INV_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/int/int_lt_' 'isa/real_less_eq_code'#@#variant
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_' 'isa/Suc_mono'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/unit.size_1'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LT_' 'isa/transfer_int_nat_relations_3'#@#variant
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/real/REAL_LE_ADD2_' 'isa/gcd_nat.mono'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_NEG_' 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/int/INT_ADD_LDISTRIB_' 'isa/nat_mult_min_right'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/one_complex.sel_1'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/Re_complex_of_real'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/arith/MULT_CLAUSES_2'#@#variant 'isa/lcm_nat.left_neutral'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_RNEG_' 'isa/add_Suc_right'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/integer_of_nat_0'#@#variant
0. 'hl/thm/calc_num/ARITH_65' 'isa/rel_simps_5'#@#variant
0. 'hl/thm/int/INT_ADD_ASSOC_' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_2_'#@#variant 'isa/pi_half_gt_zero'#@#variant
0. 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_right'#@#variant
0. 'hl/thm/calc_num/ARITH_44' 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/arith/ADD_ASSOC_' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_MUL_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_9'#@#variant 'isa/csqrt_eq_1'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_INJ_' 'isa/natural.simps_1'
0. 'hl/thm/calc_num/ARITH_40' 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/Library/analysis/REAL_LT_LMUL_IMP_'#@#variant 'isa/powr_less_mono'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/int/INT_SUB_LDISTRIB_' 'isa/gcd_mult_distrib_nat'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_6'#@#variant 'isa/real_sqrt_le_1_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LE_EQ_' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/real/REAL_INV_1_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Library/transc/TAN_COT_'#@#variant 'isa/cos_pi_minus'#@#variant
0. 'hl/thm/realax/NADD_MUL_WELLDEF_' 'isa/gcd_nat.mono'#@#variant
0. 'hl/thm/int/INT_SGN_NEG_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/int/INT_ABS_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_LE_' 'isa/less_integer.abs_eq'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/real/REAL_ABS_DIV_' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LE_EQ_' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_NEG_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/Real.positive_add'#@#variant
0. 'hl/thm/Library/analysis/POW_2_LT_'#@#variant 'isa/complex_Re_le_cmod'#@#variant
0. 'hl/thm/arith/MULT_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_7'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_ADD_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/Library/transc/LN_MONO_LT_'#@#variant 'isa/ln_le_cancel_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MUL_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/calc_num/ARITH_52' 'isa/arctan_eq_zero_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/minus_nat.simps_1'#@#variant
0. 'hl/thm/real/REAL_SUB_LDISTRIB_' 'isa/int_distrib_2'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_NEG_' 'isa/BitM.simps_3'
0. 'hl/thm/calc_num/ARITH_50' 'isa/arctan_eq_zero_iff'#@#variant
0. 'hl/thm/real/REAL_LT_LNEG_'#@#variant 'isa/real_0_le_add_iff'#@#variant
0. 'hl/thm/real/REAL_LT_01_'#@#variant 'isa/less_eq_int_code_1'#@#variant
0. 'hl/thm/Multivariate/metric/EVENTUALLY_MP_' 'isa/not_eventually_impI'
0. 'hl/thm/int/int_of_num_th_' 'isa/nat_numeral'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/one_integer_def'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/int/INT_ADD_AC_2' 'isa/gcd_ac_int_3'#@#variant
0. 'hl/thm/arith/EXP_MONO_LE_IMP_' 'isa/div_le_mono'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI_LE_'#@#variant 'isa/sin_ge_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_20'#@#variant
0. 'hl/thm/real/REAL_MIN_MIN_/1' 'isa/gcd_dvd2_int'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_' 'isa/old.nat.inject'
0. 'hl/thm/Multivariate/transcendentals/SIN_BOUNDS_/0'#@#variant 'isa/cos_ge_minus_one'#@#variant
0. 'hl/thm/int/INT_LTE_ADD_'#@#variant 'isa/ge_one_powr_ge_zero'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_2'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/real_uminus_code'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI2_'#@#variant 'isa/sin_gt_zero'#@#variant
0. 'hl/thm/calc_num/ARITH_52' 'isa/csqrt_eq_0'#@#variant
0. 'hl/thm/calc_num/ARITH_50' 'isa/csqrt_eq_0'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_2'#@#variant 'isa/arith_simps_11'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/explode_inverse'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_5'#@#variant 'isa/real_sqrt_le_0_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_MONO_LE_IMP_'#@#variant 'isa/fact_less_mono_nat'#@#variant
0. 'hl/thm/arith/SUB_0'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant 'isa/Rep_rat_inject'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/int/INT_NEG_MUL2_' 'isa/diff_Suc_Suc'#@#variant
0. 'hl/thm/Library/transc/ATN_/2' 'isa/ln_exp'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_LE_0_'#@#variant 'isa/Re_complex_div_lt_0'#@#variant
0. 'hl/thm/Complex/complex_transc/COMPLEX_II_NZ_'#@#variant 'isa/complex_i_not_zero'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_'#@#variant 'isa/sin_gt_zero_02'#@#variant
0. 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_ADD_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant 'isa/arctan_eq_iff'
0. 'hl/thm/arith/FACT_LT_'#@#variant 'isa/sin_ge_minus_one'#@#variant
0. 'hl/thm/Multivariate/complexes/MONOIDAL_COMPLEX_MUL_'#@#variant 'isa/lcm_nat.semilattice_axioms'#@#variant
0. 'hl/thm/int/INT_LE_REFL_' 'isa/le_refl'#@#variant
0. 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant 'isa/powr_less_cancel_iff'#@#variant
0. 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/Real.positive_add'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_5'#@#variant
0. 'hl/thm/Library/rstc/RSC_INC_RC_' 'isa/tranclp_into_rtranclp'
0. 'hl/thm/real/REAL_OF_NUM_SUC_'#@#variant 'isa/num.size_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_NEG_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_LE_'#@#variant 'isa/cos_gt_zero'#@#variant
0. 'hl/thm/int/INT_OF_NUM_LE_' 'isa/less_integer_code_5'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_INJ_' 'isa/natural.simps_1'
0. 'hl/thm/int/int_abstr_' 'isa/integer_of_int_int_of_integer'
0. 'hl/thm/int/INT_SGN_INEQS_6'#@#variant 'isa/arctan_less_zero_iff'#@#variant
0. 'hl/thm/int/INT_ADD_AC_2' 'isa/lcm_ac_int_3'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_ONE_'#@#variant 'isa/le_0_eq'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/real_uminus_code'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_EQ_' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/int/INT_OF_NUM_SUB_' 'isa/real_of_nat_div'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/one_integer_code'#@#variant
0. 'hl/thm/Library/transc/ATN_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_LOG_'#@#variant 'isa/num_of_nat.simps_2/0'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/one_real_code'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MUL_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/int/INT_SUB_RDISTRIB_' 'isa/nat_add_max_left'#@#variant
0. 'hl/thm/realax/TREAL_MUL_WELLDEF_'#@#variant 'isa/lcm_semilattice_nat.sup_mono'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_9'#@#variant 'isa/real_sqrt_eq_1_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/choose_one'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_BOUNDS_/1'#@#variant 'isa/arctan_bounded/1'#@#variant
0. 'hl/thm/real/REAL_MIN_ASSOC_' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/realax/NADD_LE_LMUL_' 'isa/mult_le_mono2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/uminus_complex.sel_1'#@#variant
0. 'hl/thm/Multivariate/vectors/VECTOR_MUL_RNEG_'#@#variant 'isa/rotate1_rotate_swap'
0. 'hl/thm/Library/analysis/SUB_LESS_EQ_' 'isa/Divides.mod_less_eq_dividend'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_8'#@#variant
0. 'hl/thm/int/int_mul_' 'isa/nat_int_add'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_ADD_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/int/int_ge_' 'isa/transfer_int_nat_relations_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant 'isa/Zero_not_Suc'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_LZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_left'#@#variant
0. 'hl/thm/calc_num/ARITH_57' 'isa/Suc_Rep_inject\''
0. 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/arith/FACT_MONO_' 'isa/arctan_monotone'#@#variant
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_STRONG_'#@#variant 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/Library/prime/INDEX_0_'#@#variant 'isa/lcm_0_int'#@#variant
0. 'hl/thm/calc_num/ARITH_54' 'isa/Suc_Rep_inject\''
0. 'hl/thm/real/REAL_LE_LMUL_'#@#variant 'isa/powr_mono'#@#variant
0. 'hl/thm/realax/HREAL_MUL_ASSOC_' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Library/pratt/PHI_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_ASSOC_' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_1' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant 'isa/dvd_diff_nat'#@#variant
0. 'hl/thm/Library/transc/COS_SIN_SQRT_'#@#variant 'isa/sin_cos_sqrt'#@#variant
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_POW_'#@#variant 'isa/real_sqrt_power'#@#variant
0. 'hl/thm/real/REAL_ABS_ZERO_'#@#variant 'isa/csqrt_eq_0'#@#variant
0. 'hl/thm/arith/PRE_0'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_SUB_' 'isa/gcd_greatest_nat'#@#variant
0. 'hl/thm/Library/transc/TAN_POS_PI2_'#@#variant 'isa/sin_ge_zero'#@#variant
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/choose_one'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI_LE_'#@#variant 'isa/tan_pos_pi2_le'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/Code_Numeral.dup_code_2'
0. 'hl/thm/arith/LE_SUC_' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_1'#@#variant
0. 'hl/thm/real/REAL_ADD_RDISTRIB_' 'isa/nat_add_max_left'#@#variant
0. 'hl/thm/real/REAL_ABS_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Library/rstc/RSTC_TRANS_L_' 'isa/rtranclp.intros_2'
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/calc_num/ARITH_48' 'isa/Suc_Rep_inject\''
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_11'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/natural_of_nat_of_natural_inverse'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LDISTRIB_' 'isa/nat_add_max_right'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_2_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_6'#@#variant
0. 'hl/thm/real/REAL_ABS_POS_'#@#variant 'isa/exp_ge_zero'#@#variant
0. 'hl/thm/lists/MAP_EQ_NIL_' 'isa/None_eq_map_option_iff'
0. 'hl/thm/nums/NUM_REP_RULES_0' 'isa/Nat.intros_1'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/uminus_complex.sel_1'#@#variant
0. 'hl/thm/arith/LE_ADD_' 'isa/lcm_semilattice_nat.sup.cobounded1'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_9'#@#variant
0. 'hl/thm/arith/MULT_EQ_1_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_eq_top_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/VECTOR_MUL_LID_'#@#variant 'isa/drop_0'#@#variant
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant 'isa/gcd_nat.boundedI'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/real_uminus_code'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_ADD_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_MONO_LE_'#@#variant 'isa/tan_monotone'#@#variant
0. 'hl/thm/int/INT_ABS_1_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_27'#@#variant
0. 'hl/thm/Library/transc/SIN_NEG_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nat_code_2'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_14'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_' 'isa/rel_simps_20'
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/nat_int'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/int/INT_ADD_ASSOC_' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/arith/RIGHT_SUB_DISTRIB_' 'isa/int_distrib_3'#@#variant
0. 'hl/thm/int/INT_MIN_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/arith/ADD_EQ_0_'#@#variant 'isa/gcd_zero_int'#@#variant
0. 'hl/thm/realax/NADD_LE_LADD_' 'isa/nat_add_left_cancel_less'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_1_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_MUL_L_' 'isa/mult_le_mono2'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble_of_nat_simps_4'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GT_' 'isa/less_integer.abs_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_7'#@#variant 'isa/arctan_le_zero_iff'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/int/INT_LT_SUB_LADD_' 'isa/less_diff_conv'#@#variant
0. 'hl/thm/Library/transc/SIN_PERIODIC_PI_' 'isa/sin_periodic_pi'#@#variant
0. 'hl/thm/real/REAL_SGN_NEG_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/calc_num/ARITH_7' 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/nat_mult_1_right'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_EQ_' 'isa/int_int_eq'#@#variant
0. 'hl/thm/real/REAL_ABS_DIV_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_LE_' 'isa/less_eq_integer.abs_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_NEG_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/int/INT_OF_NUM_SUC_'#@#variant 'isa/natural.size_2'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/calc_num/ARITH_1' 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_LT_0_'#@#variant 'isa/Im_complex_div_le_0'#@#variant
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/explode_inverse'#@#variant
0. 'hl/thm/Library/rstc/RTC_TRANS_L_' 'isa/rtranclp.intros_2'
0. 'hl/thm/Library/transc/ATN_/1'#@#variant 'isa/arctan/1'#@#variant
0. 'hl/thm/int/INT_NEG_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_2' 'isa/lcm_ac_int_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/Code_Numeral.dup_code_3'
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/uminus_complex.sel_1'#@#variant
0. 'hl/thm/nums/IND_SUC_INJ_' 'isa/old.nat.inject'
0. 'hl/thm/Multivariate/transcendentals/SIN_PERIODIC_'#@#variant 'isa/tan_periodic'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LE_' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_POW_' 'isa/complex_cnj_power'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_EQ_' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/Library/transc/COS_2_'#@#variant 'isa/cos_two_le_zero'#@#variant
0. 'hl/thm/calc_num/ARITH_93' 'isa/arctan_bounded/1'#@#variant
0. 'hl/thm/int/INT_MIN_ACI_3' 'isa/lcm_nat.idem'#@#variant
0. 'hl/thm/Library/isum/MONOIDAL_INT_ADD_' 'isa/lcm_semilattice_nat.Sup_fin.semilattice_set_axioms'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_LE_'#@#variant 'isa/sin_gt_zero2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_' 'isa/nat.simps_1'
0. 'hl/thm/Library/integer/INT_PRIME_NEG_' 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/realarith/REAL_POS_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_9'#@#variant
0. 'hl/thm/int/int_of_num_th_' 'isa/integer_of_nat_numeral'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/of_nat_of_natural'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant 'isa/arctan_minus'#@#variant
0. 'hl/thm/int/INT_SGN_NEG_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/int/INT_MUL_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_7'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_ADD_' 'isa/gcd_semilattice_nat.le_infI'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LE_EQ_' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/Library/transc/ATN_INJ_' 'isa/rel_simps_23'
0. 'hl/thm/arith/EXP_ONE_'#@#variant 'isa/times_int_code_2'#@#variant
0. 'hl/thm/int/INT_SGN_NEG_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/real/REAL_EQ_NEG2_' 'isa/complex_cnj_cancel_iff'
0. 'hl/thm/calc_num/ARITH_83' 'isa/arctan_bounded/1'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_INV_'#@#variant 'isa/Nat.intros_2'
0. 'hl/thm/calc_num/ARITH_82' 'isa/arctan_bounded/1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/uminus_integer.rep_eq'#@#variant
0. 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant 'isa/int_int_eq'#@#variant
0. 'hl/thm/Multivariate/vectors/VECTOR_MUL_RNEG_'#@#variant 'isa/butlast_drop'
0. 'hl/thm/Library/prime/DIVIDES_EXP_' 'isa/diff_le_mono'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/int/INT_MAX_MAX_/1' 'isa/lcm_dvd2_nat'#@#variant
0. 'hl/thm/Library/rstc/TC_IDEMP_' 'isa/rtranclp_idemp'
0. 'hl/thm/Library/transc/REAL_EXP_N_' 'isa/exp_real_of_nat_mult'#@#variant
0. 'hl/thm/int/INT_MUL_LID_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_left'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_31'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_3' 'isa/lcm_semilattice_nat.sup_idem'#@#variant
0. 'hl/thm/Library/poly/POLYDIFF_ADD_'#@#variant 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/one_real_code'#@#variant
0. 'hl/thm/arith/SUB_0_/0'#@#variant 'isa/min_0L'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_ACS_'#@#variant 'isa/arccos_cos'#@#variant
0. 'hl/thm/arith/ADD_EQ_0_'#@#variant 'isa/nat_1_eq_mult_iff'#@#variant
0. 'hl/thm/Library/transc/SQRT_MONO_LT_EQ_'#@#variant 'isa/ln_le_cancel_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_22'#@#variant
0. 'hl/thm/arith/LE_0'#@#variant 'isa/dvd_1_iff_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/integer_of_num_1'#@#variant
0. 'hl/thm/Library/transc/SIN_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/nat_of_integer_integer_of_nat'
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/choose_one'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_4' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_8'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_INV_' 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/int/INT_OF_NUM_EQ_' 'isa/Rep_Nat_inject'
0. 'hl/thm/Multivariate/transcendentals/ASN_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Library/transc/LN_EXP_' 'isa/tan_arctan'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/Suc.rep_eq'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant 'isa/gcd_0_left_nat'#@#variant
0. 'hl/thm/Library/prime/LESS_MONO_ADD_' 'isa/add_le_mono1'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_DIV_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_EQ_' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_1_'#@#variant 'isa/le0'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/Code_Numeral.dup_code_2'
0. 'hl/thm/Library/transc/ATN_MONO_LT_' 'isa/arctan_monotone\''#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/one_natural.rep_eq'#@#variant
0. 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/realarith/REAL_SUB_LT_'#@#variant 'isa/zero_less_binomial_iff'#@#variant
0. 'hl/thm/arith/ADD_EQ_0_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_eq_top_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_IMP_' 'isa/fact_mono_nat'#@#variant
0. 'hl/thm/Library/transc/TAN_POS_PI2_'#@#variant 'isa/sin_gt_zero'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_ABS_' 'isa/Nat.intros_2'
0. 'hl/thm/Multivariate/transcendentals/ARG_/1'#@#variant 'isa/arg_bounded/1'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_EQ_' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant 'isa/le_refl'#@#variant
0. 'hl/thm/arith/EXP_MONO_LE_IMP_' 'isa/mult_le_mono1'#@#variant
0. 'hl/thm/int/INT_MIN_ACI_4' 'isa/lcm_nat.left_idem'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/Int.dup_code_2'
0. 'hl/thm/calc_int/REAL_MUL_LZERO_'#@#variant 'isa/min_0L'#@#variant
0. 'hl/thm/realax/NADD_INV_WELLDEF_' 'isa/fact_mono_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_LE_'#@#variant 'isa/sin_gt_zero_02'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_ACS_'#@#variant 'isa/sin_arcsin'#@#variant
0. 'hl/thm/real/REAL_ABS_SGN_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/real/REAL_ABS_1_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/realax/NADD_LE_TRANS_' 'isa/dvd.order_trans'#@#variant
0. 'hl/thm/lists/REVERSE_0' 'isa/rotate1.simps_1'
0. 'hl/thm/calc_int/REAL_EQ_ADD_LCANCEL_' 'isa/nat_add_left_cancel'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_MUL_R_' 'isa/diff_le_mono'#@#variant
0. 'hl/thm/realax/NADD_EQ_TRANS_' 'isa/le_trans'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/one_natural.rep_eq'#@#variant
0. 'hl/thm/int/INT_LE_01_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_7'#@#variant
0. 'hl/thm/int/int_ge_' 'isa/transfer_int_nat_relations_3'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_INV_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/Library/pocklington/ORDER_1_'#@#variant 'isa/gcd_1_int'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_INV_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/int/INT_OF_NUM_OF_INT_'#@#variant 'isa/Nat_Abs_Nat_inverse'
0. 'hl/thm/calc_num/ARITH_57' 'isa/nat.simps_1'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_MUL_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/calc_num/ARITH_54' 'isa/nat.simps_1'
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/int_Suc'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/uminus_complex.sel_1'#@#variant
0. 'hl/thm/realax/HREAL_LE_ADD_LCANCEL_' 'isa/nat_add_left_cancel_le'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_NEG_' 'isa/BitM.simps_3'
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/Rep_Nat_inverse'
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant 'isa/real_sqrt_eq_iff'
0. 'hl/thm/Multivariate/transcendentals/RPOW_ONE_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_left'#@#variant
0. 'hl/thm/int/INT_NEG_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Library/prime/PRIME_2_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_6'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_6'#@#variant
0. 'hl/thm/arith/EVEN_DOUBLE_'#@#variant 'isa/cos_ge_minus_one'#@#variant
0. 'hl/thm/int/int_le_' 'isa/real_less_eq_code'#@#variant
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/integer_of_nat_1'#@#variant
0. 'hl/thm/calc_num/ARITH_48' 'isa/nat.simps_1'
0. 'hl/thm/nums/BIT0_DEF_0'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/arith/EVEN_MULT_' 'isa/add_gr_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/Rep_rat_inverse'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_3' 'isa/gcd_nat.idem'#@#variant
0. 'hl/thm/Library/transc/SQRT_1_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/uminus_integer.rep_eq'#@#variant
0. 'hl/thm/Library/transc/ACS_COS_'#@#variant 'isa/sin_arcsin'#@#variant
0. 'hl/thm/arith/DIV_1_'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_INV_' 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_' 'isa/arctan_monotone'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/nat_of_natural_inverse'
0. 'hl/thm/Multivariate/transcendentals/REAL_COS_'#@#variant 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_MUL2_' 'isa/mult_le_mono'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_0'#@#variant 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/arith/FACT_NZ_'#@#variant 'isa/num.simps_4'
0. 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant 'isa/mult_0_right'#@#variant
0. 'hl/thm/int/int_sgn_th_' 'isa/abs_integer.abs_eq'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_9'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_EXP_' 'isa/tan_arctan'#@#variant
0. 'hl/thm/real/REAL_MUL_AC_2' 'isa/gcd_ac_nat_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_INJ_' 'isa/exp_inj_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/Rep_int_inverse'#@#variant
0. 'hl/thm/int/INT_NOT_EQ_' 'isa/nat_neq_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_'#@#variant 'isa/sin_gt_zero2'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_4'#@#variant 'isa/csqrt_eq_1'#@#variant
0. 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant 'isa/div_le_mono'#@#variant
0. 'hl/thm/arith/PRE_0'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/Library/analysis/REAL_MIDDLE1_'#@#variant 'isa/real_less_half_sum'#@#variant
0. 'hl/thm/int/INT_MUL_RZERO_'#@#variant 'isa/gcd_1_nat'#@#variant
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_INJ_' 'isa/num.simps_2'
0. 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant 'isa/rel_simps_20'
0. 'hl/thm/arith/ADD_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant 'isa/natural.simps_1'
0. 'hl/thm/calc_num/ARITH_104' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/int/INT_MUL_LID_'#@#variant 'isa/plus_nat.simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_POS_PI_LE_'#@#variant 'isa/cos_gt_zero_pi'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_4'#@#variant 'isa/real_sqrt_eq_1_iff'#@#variant
0. 'hl/thm/Library/floor/FLOOR_FRAC_/2'#@#variant 'isa/arctan_ubound'#@#variant
0. 'hl/thm/Library/analysis/SUB_LESS_EQ_' 'isa/gcd_dvd1_int'#@#variant
0. 'hl/thm/real/REAL_SGN_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_SUB_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant 'isa/less_eq_int_code_5'#@#variant
0. 'hl/thm/real/REAL_EQ_NEG2_' 'isa/num.simps_2'
0. 'hl/thm/real/REAL_LE_01_'#@#variant 'isa/less_eq_int_code_1'#@#variant
0. 'hl/thm/Library/rstc/RTC_TRANS_' 'isa/transitive_closurep_trans\'_1'
0. 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant 'isa/natural.simps_3'#@#variant
0. 'hl/thm/real/REAL_ABS_INV_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/int/INT_ADD_ASSOC_' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/realax/REAL_INV_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Library/transc/SIN_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/pred_numeral_simps_1'#@#variant
0. 'hl/thm/Library/floor/REAL_OF_INT_OF_REAL_' 'isa/num_of_nat_inverse'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_24'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/ii.sel_2'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_MUL2_' 'isa/add_less_mono'#@#variant
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/int/INT_SUB_ADD_' 'isa/diff_add_inverse2'#@#variant
0. 'hl/thm/Library/transc/LN_POW_'#@#variant 'isa/ln_realpow'#@#variant
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/int/INT_NEG_MINUS1_'#@#variant 'isa/minus_int_code_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/real/REAL_LE_POW2_'#@#variant 'isa/less_int_code_2'#@#variant
0. 'hl/thm/Library/rstc/RTC_RULES_/2' 'isa/transitive_closurep_trans\'_1'
0. 'hl/thm/Multivariate/transcendentals/PI_POS_'#@#variant 'isa/pi_ge_zero'#@#variant
0. 'hl/thm/int/int_eq_' 'isa/Rep_rat_inject'#@#variant
0. 'hl/thm/arith/RIGHT_ADD_DISTRIB_' 'isa/nat_distrib_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_REFL_' 'isa/dvd.order_refl'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/zero_integer.rep_eq'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/real/REAL_LT_SUB_RADD_' 'isa/le_diff_conv'#@#variant
0. 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/norm_ii'#@#variant
0. 'hl/thm/Multivariate/misc/GE_REFL_' 'isa/dvd.order_refl'#@#variant
0. 'hl/thm/real/REAL_SGN_MUL_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/int/INT_LT_REFL_' 'isa/less_irrefl_nat'#@#variant
0. 'hl/thm/Library/transc/SQRT_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/realax/HREAL_ADD_AC_1' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/int/int_of_num_th_' 'isa/int_of_integer_integer_of_nat'#@#variant
0. 'hl/thm/Library/analysis/LESS_MONO_ADD_' 'isa/diff_le_mono'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/natural_of_nat_of_natural_inverse'
0. 'hl/thm/real/REAL_INV_1_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/arith/PRE_0'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/realax/NADD_LE_LADD_' 'isa/nat_add_left_cancel_le'#@#variant
0. 'hl/thm/arith/ADD_CLAUSES_0'#@#variant 'isa/gcd_nat.left_neutral'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/realarith/REAL_POS_'#@#variant 'isa/less_eq_int_code_2'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LID_'#@#variant 'isa/max_0L'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RNEG_' 'isa/add_Suc_right'#@#variant
0. 'hl/thm/Library/pocklington/PHI_1_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant 'isa/real_sqrt_le_mono'#@#variant
0. 'hl/thm/real/REAL_INV_1_LE_'#@#variant 'isa/arccos_lbound'#@#variant
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/nat_of_num_inverse'
0. 'hl/thm/Library/transc/SIN_POS_PI2_'#@#variant 'isa/cot_gt_zero'#@#variant
0. 'hl/thm/nums/NUM_REP_RULES_0' 'isa/pos2'#@#variant
0. 'hl/thm/int/INT_MIN_MIN_/0' 'isa/gcd_dvd1_int'#@#variant
0. 'hl/thm/real/REAL_MAX_ASSOC_' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/calc_num/ARITH_17' 'isa/arith_simps_6'#@#variant
0. 'hl/thm/real/REAL_SGN_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/real/REAL_INV_NEG_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/Library/floor/INTEGER_NEG_' 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant 'isa/mod_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_EQ_' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_POS_LE_'#@#variant 'isa/exp_gt_zero'#@#variant
0. 'hl/thm/int/INT_SGN_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/arith/MULT_EQ_1_'#@#variant 'isa/lcm_1_iff_nat'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MUL_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LT_' 'isa/Suc_mono'#@#variant
0. 'hl/thm/arith/ADD_0_'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/arith/ADD_0_'#@#variant 'isa/pow.simps_1'
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/arith/TWO_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/int/INT_MAX_ASSOC_' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant 'isa/Suc_Rep_inject\''
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/binomial_1'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/real/REAL_ABS_1_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant 'isa/rel_simps_23'
0. 'hl/thm/int/INT_MUL_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/Zero_nat_def'#@#variant
0. 'hl/thm/arith/ADD_CLAUSES_0'#@#variant 'isa/plus_integer_code_2'#@#variant
0. 'hl/thm/int/INT_ADD_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/realax/REAL_ADD_LDISTRIB_' 'isa/gcd_mult_distrib_nat'#@#variant
0. 'hl/thm/Library/transc/COS_2_'#@#variant 'isa/exp_le'#@#variant
0. 'hl/thm/Library/floor/FLOOR_MONO_' 'isa/real_sqrt_less_mono'#@#variant
0. 'hl/thm/Library/analysis/REAL_DIV_LZERO_'#@#variant 'isa/min_0L'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_2_'#@#variant 'isa/pos2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/minus_int_code_1'#@#variant
0. 'hl/thm/int/INT_ABS_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_24'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/nat_of_natural_of_nat_inverse'
0. 'hl/thm/nums/BIT0_DEF_0'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/real/REAL_SGN_DIV_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/arith/MULT_AC_1' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/cis_inverse'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_SUC_'#@#variant 'isa/num.size_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PERIODIC_NPI_' 'isa/tan_periodic_int'#@#variant
0. 'hl/thm/Library/transc/PI_POS_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_7'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_REFL_'#@#variant 'isa/diff_self_eq_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_'#@#variant 'isa/cot_gt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/nat_of_num_inc'
0. 'hl/thm/Library/transc/TAN_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_NEG_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/int/INT_ADD_AC_1' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant 'isa/Rep_int_inject'#@#variant
0. 'hl/thm/int/INT_NEG_EQ_0_'#@#variant 'isa/complex_cnj_zero_iff'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Library/floor/FLOOR_/0' 'isa/cos_ge_minus_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/minus_nat.simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_DIV_' 'isa/nat_mult_min_left'#@#variant
0. 'hl/thm/Library/transc/SIN_PERIODIC_PI_' 'isa/sin_minus_pi'#@#variant
0. 'hl/thm/realax/NADD_LE_0_'#@#variant 'isa/dvd_1_left'#@#variant
0. 'hl/thm/Library/analysis/REAL_10_'#@#variant 'isa/sumbool.simps_2'
0. 'hl/thm/Library/floor/RATIONAL_CLOSED_6' 'isa/Nat_Transfer.transfer_int_nat_function_closures_4'#@#variant
0. 'hl/thm/arith/MULT_EXP_' 'isa/int_distrib_1'#@#variant
0. 'hl/thm/calc_num/ARITH_97' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_EQ_0_'#@#variant 'isa/csqrt_eq_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nat_of_num_code_1'#@#variant
0. 'hl/thm/Library/rstc/STC_TRANS_L_' 'isa/tranclp.intros_2'
0. 'hl/thm/real/REAL_SGN_INEQS_9'#@#variant 'isa/csqrt_eq_0'#@#variant
0. 'hl/thm/calc_num/ARITH_94' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/Code_Numeral.dup_code_3'
0. 'hl/thm/Library/poly/POLYDIFF_ADD_'#@#variant 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/lists/MAP_1' 'isa/image_insert'
0. 'hl/thm/int/INT_MIN_ACI_1' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LDISTRIB_' 'isa/nat_mult_min_right'#@#variant
0. 'hl/thm/wf/WF_num_' 'isa/symp_ratrel'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/Int.dup_code_3'
0. 'hl/thm/nums/NUM_REP_RULES_0' 'isa/less_eq_int_code_1'#@#variant
0. 'hl/thm/int/INT_POW_LT_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_4'#@#variant
0. 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/nat_mult_1_right'#@#variant
0. 'hl/thm/calc_num/ARITH_7' 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_2_'#@#variant 'isa/pi_gt_zero'#@#variant
0. 'hl/thm/int/INT_MUL_RZERO_'#@#variant 'isa/mult_0_right'#@#variant
0. 'hl/thm/int/INT_ABS_POS_'#@#variant 'isa/zero_less_Suc'#@#variant
0. 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/int/INT_LT_01_'#@#variant 'isa/pi_half_gt_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RID_'#@#variant 'isa/choose_one'#@#variant
0. 'hl/thm/calc_num/ARITH_88' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_87' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ROOT_POS_LT_'#@#variant 'isa/real_root_ge_zero'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GE_' 'isa/less_integer.abs_eq'#@#variant
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/Rep_Nat_inverse'
0. 'hl/thm/arith/ONE_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/Library/rstc/RTC_RULES_/1' 'isa/rtranclp.intros_1'
0. 'hl/thm/calc_num/ARITH_1' 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/calc_num/ARITH_84' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_SUB_' 'isa/gcd_nat.boundedI'#@#variant
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/realax/TREAL_MUL_WELLDEF_'#@#variant 'isa/add_less_mono'#@#variant
0. 'hl/thm/int/INT_SGN_POW_' 'isa/real_sqrt_power'#@#variant
0. 'hl/thm/realax/NADD_ADD_WELLDEF_' 'isa/mult_le_mono'#@#variant
0. 'hl/thm/real/REAL_LT_ADD2_' 'isa/mult_le_mono'#@#variant
0. 'hl/thm/real/REAL_ABS_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/arith/MULT_AC_1' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/Suc.rep_eq'
0. 'hl/thm/lists/BUTLAST_0' 'isa/list.sel_2'
0. 'hl/thm/real/REAL_EQ_INV2_' 'isa/complex_cnj_cancel_iff'
0. 'hl/thm/Library/transc/TAN_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/arith/ADD_0_'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/real/REAL_INV_EQ_0_'#@#variant 'isa/real_sqrt_eq_1_iff'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_ADD_REVL_' 'isa/zdvd_zdiffD'#@#variant
0. 'hl/thm/calc_num/ARITH_0'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_LE_' 'isa/zle_int'#@#variant
0. 'hl/thm/calc_num/ARITH_78' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/real/REAL_LE_INV_'#@#variant 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/arith/LE_0'#@#variant 'isa/gcd_lcm_complete_lattice_nat.bot.extremum_unique'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/num_of_nat.simps_1'#@#variant
0. 'hl/thm/calc_num/ARITH_77' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/Library/prime/INDEX_0_'#@#variant 'isa/mult_0_right'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_LT_1_'#@#variant 'isa/ln_gt_zero'#@#variant
0. 'hl/thm/realax/NADD_INV_WELLDEF_' 'isa/arctan_monotone\''#@#variant
0. 'hl/thm/real/REAL_ABS_ZERO_'#@#variant 'isa/csqrt_eq_1'#@#variant
0. 'hl/thm/calc_num/ARITH_74' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/Suc.rep_eq'
0. 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_'#@#variant 'isa/cot_gt_zero'#@#variant
0. 'hl/thm/Library/calc_real/REAL_EXP_13_'#@#variant 'isa/exp_half_le2'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/calc_num/ARITH_6' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/Library/pratt/PHI_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/int/INT_MUL_LID_'#@#variant 'isa/max_0L'#@#variant
0. 'hl/thm/arith/LT_SUC_' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_2' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/Library/prime/INDEX_0_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_right'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_0'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_7'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_MUL_'#@#variant 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/arith/FACT_NZ_'#@#variant 'isa/nat.simps_3'#@#variant
0. 'hl/thm/real/REAL_ABS_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/arith/LT_SUC_' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/Library/analysis/REAL_DOUBLE_'#@#variant 'isa/gcd_idem_int'#@#variant
0. 'hl/thm/calc_num/ARITH_68' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/calc_num/ARITH_67' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_21'#@#variant
0. 'hl/thm/realax/NADD_LE_0_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.bot.extremum'#@#variant
0. 'hl/thm/nums/SUC_INJ_' 'isa/num.simps_2'
0. 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/calc_num/ARITH_92' 'isa/real_sqrt_le_0_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_64' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/int/INT_ABS_1_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/realax/HREAL_INV_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/realax/REAL_MUL_ASSOC_' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/int/INT_POS_'#@#variant 'isa/less_eq_int_code_2'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_' 'isa/Suc_mono'#@#variant
0. 'hl/thm/arith/PRE_0'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_COT_'#@#variant 'isa/cos_pi_minus'#@#variant
0. 'hl/thm/Library/prime/PRIME_0_'#@#variant 'isa/less_int_code_1'#@#variant
0. 'hl/thm/Library/floor/FLOOR_FRAC_/0' 'isa/cos_ge_minus_one'#@#variant
0. 'hl/thm/int/INT_ABS_NUM_' 'isa/complex_cnj_complex_of_real'#@#variant
0. 'hl/thm/real/REAL_MUL_AC_2' 'isa/lcm_ac_nat_3'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_MUL2_' 'isa/add_le_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/int_of_integer_inverse'
0. 'hl/thm/calc_num/ARITH_58' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NEG_' 'isa/BitM.simps_2'
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/num_of_nat.simps_1'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/char_of_nat_of_char'
0. 'hl/thm/int/INT_ADD_RDISTRIB_' 'isa/nat_mult_max_left'#@#variant
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/Library/rstc/RSTC_TRANS_R_' 'isa/transitive_closurep_trans\'_6'
0. 'hl/thm/realax/HREAL_MUL_LZERO_'#@#variant 'isa/lcm_0_left_nat'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_24'#@#variant
0. 'hl/thm/int/INT_SUB_LZERO_'#@#variant 'isa/gcd_0_left_int'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_1' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/realax/REAL_INV_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/Library/rstc/RSC_INC_' 'isa/tranclp.intros_1'
0. 'hl/thm/realax/NADD_OF_NUM_LE_' 'isa/less_integer.abs_eq'#@#variant
0. 'hl/thm/Library/pocklington/PHI_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/Int.dup_code_3'
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/zero_natural.rep_eq'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/minus_nat.simps_1'#@#variant
0. 'hl/thm/arith/SUB_0'#@#variant 'isa/choose_one'#@#variant
0. 'hl/thm/Library/transc/LN_LT_X_'#@#variant 'isa/ln_less_self'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant 'isa/arith_simps_11'#@#variant
0. 'hl/thm/realax/TREAL_ADD_WELLDEF_'#@#variant 'isa/add_le_mono'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_LT_' 'isa/less_integer_code_5'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Library/analysis/LESS_MONO_ADD_' 'isa/mult_le_mono1'#@#variant
0. 'hl/thm/realax/REAL_ADD_LID_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_left'#@#variant
0. 'hl/thm/realax/NADD_OF_NUM_LE_' 'isa/less_natural.abs_eq'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_POS_LT_'#@#variant 'isa/exp_ge_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/calc_num/ARITH_97' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI_LE_'#@#variant 'isa/sin_gt_zero_02'#@#variant
0. 'hl/thm/Library/pocklington/PHI_1_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_NEG_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_BOUNDS_/1'#@#variant 'isa/arctan_bounded/1'#@#variant
0. 'hl/thm/calc_num/ARITH_94' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/arith/ADD_AC_2' 'isa/gcd_ac_nat_3'#@#variant
0. 'hl/thm/Library/floor/FLOOR_FRAC_/2'#@#variant 'isa/cos_le_one'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LDISTRIB_' 'isa/nat_distrib_2'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_' 'isa/real_sqrt_le_mono'#@#variant
0. 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/int_Suc'#@#variant
0. 'hl/thm/real/REAL_ABS_ZERO_'#@#variant 'isa/real_sqrt_eq_1_iff'#@#variant
0. 'hl/thm/real/REAL_LE_INV_'#@#variant 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_LMUL_' 'isa/lcm_semilattice_nat.sup.coboundedI2'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_21'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_LE_'#@#variant 'isa/tan_gt_zero'#@#variant
0. 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant 'isa/arctan_monotone'#@#variant
0. 'hl/thm/Library/transc/LN_POS_LT_'#@#variant 'isa/ln_gt_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_60' 'isa/real_sqrt_le_0_iff'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_0'#@#variant 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_88' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/calc_num/ARITH_87' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/Code_Numeral.dup_code_3'
0. 'hl/thm/Multivariate/misc/SQRT_1_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/Library/transc/PI2_BOUNDS_0'#@#variant 'isa/pi_half_ge_zero'#@#variant
0. 'hl/thm/Library/analysis/REAL_DIV_LZERO_'#@#variant 'isa/times_int_code_2'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_5'#@#variant 'isa/real_sqrt_le_0_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_84' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/int/int_of_num_th_' 'isa/integer_of_nat.rep_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_MUL_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LID_'#@#variant 'isa/nat_mult_1'#@#variant
0. 'hl/thm/int/int_gt_' 'isa/less_eq_integer.abs_eq'#@#variant
0. 'hl/thm/real/REAL_ABS_DIV_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/Library/transc/TAN_PERIODIC_PI_' 'isa/tan_periodic'#@#variant
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_ABS_' 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/realax/HREAL_MUL_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/real/REAL_INV_1_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/realax/TREAL_INV_WELLDEF_'#@#variant 'isa/fact_mono_nat'#@#variant
0. 'hl/thm/realax/TREAL_ADD_WELLDEF_'#@#variant 'isa/mult_le_mono'#@#variant
0. 'hl/thm/nums/BIT0_DEF_0'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/calc_num/ARITH_92' 'isa/real_sqrt_lt_1_iff'#@#variant
0. 'hl/thm/real/REAL_ABS_MUL_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/cis_inverse'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_1_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/arg_zero'#@#variant
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_NZ_'#@#variant 'isa/complex_i_not_zero'#@#variant
0. 'hl/thm/calc_num/ARITH_78' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/calc_num/ARITH_77' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/calc_num/ARITH_74' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/real/REAL_INV_MUL_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/Library/transc/TAN_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/zero_complex.sel_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_INV_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/int/int_sgn_th_' 'isa/uminus_integer.rep_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_0'#@#variant 'isa/pi_half_ge_zero'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/nums/IND_SUC_INJ_' 'isa/exp_inj_iff'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_5'#@#variant 'isa/real_sqrt_lt_0_iff'#@#variant
0. 'hl/thm/int/int_gt_' 'isa/less_int_code_5'#@#variant
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/arith/MOD_LT_' 'isa/gcd_nat.absorb1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_26'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_10'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_9'#@#variant
0. 'hl/thm/real/REAL_EQ_INV2_' 'isa/num.simps_2'
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_LT_' 'isa/transfer_int_nat_relations_3'#@#variant
0. 'hl/thm/int/INT_MUL_ASSOC_' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/calc_num/ARITH_68' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/Library/transc/PI2_BOUNDS_1'#@#variant 'isa/pi_half_less_two'#@#variant
0. 'hl/thm/real/REAL_LT_LADD_' 'isa/nat_add_left_cancel_le'#@#variant
0. 'hl/thm/calc_num/ARITH_67' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/arith/LE_ADD_' 'isa/lcm_dvd1_int'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NUM_' 'isa/less_eq_int_code_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_INJ_' 'isa/num.simps_1'
0. 'hl/thm/arith/LE_ADDR_' 'isa/gcd_lcm_lattice_nat.inf_sup_ord_4'#@#variant
0. 'hl/thm/calc_num/ARITH_64' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/one_int_code'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_' 'isa/arctan_monotone'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GT_' 'isa/less_natural.abs_eq'#@#variant
0. 'hl/thm/realax/HREAL_LE_ADD_' 'isa/lcm_semilattice_nat.sup.cobounded1'#@#variant
0. 'hl/thm/Multivariate/metric/topology_tybij_0' 'isa/Rep_filter_inverse'
0. 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_EQ_0_'#@#variant 'isa/Im_complex_div_eq_0'#@#variant
0. 'hl/thm/arith/EXP_0'#@#variant 'isa/mod_1'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_INV_EQ_' 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/Nat.add_0_right'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RDISTRIB_' 'isa/nat_distrib_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_MUL_' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_MUL_RCANCEL_'#@#variant 'isa/mult_cancel2'#@#variant
0. 'hl/thm/realax/NADD_ADD_WELLDEF_' 'isa/gcd_nat.mono'#@#variant
0. 'hl/thm/calc_num/ARITH_58' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/arith/FACT_NZ_'#@#variant 'isa/Suc_neq_Zero'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LID_'#@#variant 'isa/plus_nat.simps_1'#@#variant
0. 'hl/thm/real/REAL_ABS_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/iterate/MONOIDAL_REAL_ADD_' 'isa/gcd_semilattice_nat.Inf_fin.semilattice_set_axioms'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/Multivariate/metric/ALWAYS_EVENTUALLY_' 'isa/always_eventually'
0. 'hl/thm/int/INT_SGN_INEQS_4'#@#variant 'isa/arctan_eq_zero_iff'#@#variant
0. 'hl/thm/int/int_gt_' 'isa/less_integer_code_5'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/int/INT_LT_ADD2_' 'isa/lcm_semilattice_nat.sup_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_GT_0_'#@#variant 'isa/Re_complex_div_ge_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/Rep_Nat_inverse'
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/real/REAL_ABS_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_INV_MUL_'#@#variant 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/calc_num/ARITH_60' 'isa/real_sqrt_lt_1_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_INJ_' 'isa/rel_simps_23'
0. 'hl/thm/int/INT_OF_NUM_GT_' 'isa/less_eq_integer_code_5'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/abs_integer.abs_eq'#@#variant
0. 'hl/thm/arith/MULT_0'#@#variant 'isa/lcm_0_left_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant 'isa/rel_simps_9'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/unit.size_1'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/Library/rstc/TC_RULES_/0' 'isa/r_into_rtranclp'
0. 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant 'isa/times_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/int/INT_ENTIRE_'#@#variant 'isa/lcm_0_iff_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/transfer_nat_int_numerals_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RDISTRIB_' 'isa/nat_distrib_1'#@#variant
0. 'hl/thm/Library/transc/PI2_BOUNDS_0'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_5'#@#variant
0. 'hl/thm/calc_num/ARITH_0'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/realax/HREAL_LE_TOTAL_' 'isa/nat_le_linear'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_INJ_' 'isa/nat.simps_1'
0. 'hl/thm/Multivariate/vectors/SQRT_INV_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MUL_' 'isa/nat_distrib_1'#@#variant
0. 'hl/thm/real/REAL_MUL_AC_2' 'isa/gcd_ac_int_3'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/zero_real_code'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/Code_Numeral.dup_code_3'
0. 'hl/thm/Multivariate/transcendentals/RPOW_NEG_' 'isa/pow.simps_2'
0. 'hl/thm/int/int_abs_th_' 'isa/sgn_integer.abs_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/zero_natural.rep_eq'#@#variant
0. 'hl/thm/int/INT_LT_ADD2_' 'isa/add_le_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_LE_'#@#variant 'isa/sin_gt_zero'#@#variant
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/real/REAL_LT_LCANCEL_IMP_'#@#variant 'isa/nat_power_less_imp_less'#@#variant
0. 'hl/thm/int/int_eq_' 'isa/nat_of_nibble_eq_iff'
0. 'hl/thm/Library/integer/INT_DIVIDES_LMUL_' 'isa/dvd_lcm_I2_nat'#@#variant
0. 'hl/thm/int/INT_LT_TRANS_' 'isa/dvd.order.trans'#@#variant
0. 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant 'isa/le_imp_0_less'#@#variant
0. 'hl/thm/arith/MULT_AC_1' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/int/INT_NEG_ADD_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/uminus_integer.abs_eq'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/zero_integer_def'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_18'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ROOT_1_'#@#variant 'isa/real_root_zero'#@#variant
0. 'hl/thm/real/REAL_POW_INV_' 'isa/complex_cnj_power'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/transfer_nat_int_numerals_3'#@#variant
0. 'hl/thm/Library/prime/PRIME_2_'#@#variant 'isa/Nat.intros_1'
0. 'hl/thm/realax/NADD_INV_WELLDEF_' 'isa/real_sqrt_le_mono'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/abs_integer.rep_eq'#@#variant
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_ONE_'#@#variant 'isa/min_0L'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/cis_inverse'#@#variant
0. 'hl/thm/arith/MULT_EQ_0_'#@#variant 'isa/lcm_0_iff_nat'#@#variant
0. 'hl/thm/trivia/I_DEF_' 'isa/Basic_BNF_LFPs.xtor_def'
0. 'hl/thm/int/int_sgn_th_' 'isa/sgn_integer.rep_eq'#@#variant
0. 'hl/thm/int/INT_LT_ADD2_' 'isa/lcm_semilattice_nat.sup.mono'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_POS_LE_'#@#variant 'isa/sin_ge_minus_one'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_INJ_' 'isa/num.simps_2'
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/nibble_of_nat_of_nibble'
0. 'hl/thm/Library/pratt/PHI_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/cis_inverse'#@#variant
0. 'hl/thm/Library/analysis/SUB_LESS_EQ_' 'isa/gcd_dvd1_nat'#@#variant
0. 'hl/thm/arith/LE_SUC_' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/Library/pocklington/ORDER_1_'#@#variant 'isa/lcm_0_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant 'isa/rel_simps_16'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant 'isa/min_0R'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_INJ_' 'isa/complex_cnj_cancel_iff'
0. 'hl/thm/Complex/complexnumbers/CNJ_INJ_' 'isa/rel_simps_23'
0. 'hl/thm/int/INT_ABS_1_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/real/REAL_LT_INV_'#@#variant 'isa/Nat.intros_2'
0. 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/binomial_1'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/Library/poly/POLY_DIVIDES_ADD_'#@#variant 'isa/gcd_greatest_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_TAN_'#@#variant 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/zero_natural.rep_eq'#@#variant
0. 'hl/thm/Library/transc/LN_POS_'#@#variant 'isa/exp_gt_one'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/int/INT_LT_RMUL_EQ_'#@#variant 'isa/real_mult_less_iff1'#@#variant
0. 'hl/thm/arith/SUB_0'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/0'#@#variant 'isa/fact_ge_Suc_0_nat'#@#variant
0. 'hl/thm/Library/pratt/PHI_1_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/int/INT_MAX_LT_' 'isa/lcm_semilattice_nat.sup.bounded_iff'#@#variant
0. 'hl/thm/int/INT_ABS_SGN_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/int/INT_OF_NUM_EQ_' 'isa/Rep_int_inject'#@#variant
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/arith/MULT_EXP_' 'isa/nat_distrib_3'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/of_nat_of_natural'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_5'#@#variant 'isa/real_sqrt_le_1_iff'#@#variant
0. 'hl/thm/Library/transc/LN_POS_LT_'#@#variant 'isa/exp_gt_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_BOUNDS_/1'#@#variant 'isa/cos_le_one'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_'#@#variant 'isa/sin_gt_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CCOS_'#@#variant 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/nums/IND_SUC_0_' 'isa/Suc_neq_Zero'#@#variant
0. 'hl/thm/int/INT_ABS_SGN_' 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_LE_'#@#variant 'isa/pi_half_ge_zero'#@#variant
0. 'hl/thm/Library/pratt/PHI_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/cis_zero'#@#variant
0. 'hl/thm/Library/floor/REAL_OF_INT_OF_REAL_' 'isa/Nat_Abs_Nat_inverse'
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/eval_nat_numeral_1'#@#variant
0. 'hl/thm/int/INT_LE_RMUL_'#@#variant 'isa/mult_less_mono1'#@#variant
0. 'hl/thm/arith/MULT_AC_1' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/uminus_integer.rep_eq'#@#variant
0. 'hl/thm/int/INT_MUL_LID_'#@#variant 'isa/nat_mult_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RDISTRIB_' 'isa/gcd_exp_nat'#@#variant
0. 'hl/thm/int/INT_NEG_EQ_0_'#@#variant 'isa/real_sqrt_eq_1_iff'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/arith/ADD_0_'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/Real.positive_add'#@#variant
0. 'hl/thm/real/REAL_SUB_LDISTRIB_' 'isa/int_distrib_4'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/arith/PRE_0'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/arith/EXP_0'#@#variant 'isa/log_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_ADD_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/Library/transc/SQRT_1_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/integer_of_nat_1'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_LE_X_'#@#variant 'isa/sin_x_ge_neg_x'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_NEG_' 'isa/BitM.simps_2'
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/integer_of_nat_0'#@#variant
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/abs_integer.abs_eq'#@#variant
0. 'hl/thm/int/INT_ABS_1_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/real/REAL_SGN_NEG_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/sgn_integer.rep_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_DIV_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/arith/TWO_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/explode_inverse'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_7'#@#variant
0. 'hl/thm/realax/HREAL_MUL_LZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_left'#@#variant
0. 'hl/thm/int/INT_ABS_MUL_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant 'isa/nat_mult_le_cancel1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_0_'#@#variant 'isa/real_sqrt_eq_0_iff'#@#variant
0. 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant 'isa/nat_mult_dvd_cancel1'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RDISTRIB_' 'isa/nat_mult_min_left'#@#variant
0. 'hl/thm/Library/analysis/REAL_LT_LMUL_EQ_'#@#variant 'isa/powr_le_cancel_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/sgn_integer.rep_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/nat_mult_1_right'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_3' 'isa/gcd_idem_nat'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_92' 'isa/arctan_le_zero_iff'#@#variant
0. 'hl/thm/int/INT_LE_01_'#@#variant 'isa/pi_half_gt_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_POS_'#@#variant 'isa/less_eq_int_code_2'#@#variant
0. 'hl/thm/realax/HREAL_INV_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/Suc.abs_eq'
0. 'hl/thm/nums/BIT0_DEF_0'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/arith/SUB_0_/0'#@#variant 'isa/power_Suc_0'#@#variant
0. 'hl/thm/arith/LE_SUC_' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/nums/IND_SUC_INJ_' 'isa/num.simps_2'
0. 'hl/thm/int/int_sgn_th_' 'isa/int_Suc'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_5'#@#variant 'isa/arctan_less_zero_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/int/INT_ABS_ZERO_'#@#variant 'isa/real_sqrt_eq_0_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_' 'isa/num.simps_2'
0. 'hl/thm/Library/integer/INT_PRIME_ABS_' 'isa/real_sqrt_gt_1_iff'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_0'#@#variant 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/Int.dup_code_3'
0. 'hl/thm/Multivariate/transcendentals/SIN_NEG_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/int/INT_EQ_SUB_RADD_' 'isa/eq_diff_eq\''#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_' 'isa/arctan_monotone'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_CNJ_' 'isa/complex_cnj_cnj'
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/nibble_of_nat_of_nibble'
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/eval_nat_numeral_1'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/Library/transc/ATN_INJ_' 'isa/nat.simps_1'
0. 'hl/thm/nums/NOT_SUC_'#@#variant 'isa/rel_simps_17'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_28'#@#variant
0. 'hl/thm/int/INT_ABS_NUM_' 'isa/complex_cnj_numeral'#@#variant
0. 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant 'isa/ln_ge_zero'#@#variant
0. 'hl/thm/Library/prime/PRIME_0_'#@#variant 'isa/Rat.positive_zero'#@#variant
0. 'hl/thm/int/INT_MAX_MAX_/0' 'isa/gcd_lcm_lattice_nat.inf_sup_ord_3'#@#variant
0. 'hl/thm/nums/IND_SUC_INJ_' 'isa/rel_simps_23'
0. 'hl/thm/real/REAL_INV_EQ_0_'#@#variant 'isa/arctan_eq_zero_iff'#@#variant
0. 'hl/thm/Library/poly/POLY_ADD_ASSOC_'#@#variant 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/arith/DIV_1_'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Complex/complexnumbers/CNJ_CX_' 'isa/sgn_cis'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant 'isa/nat_of_nibble_eq_iff'
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LT_' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/uminus_complex.sel_2'#@#variant
0. 'hl/thm/iterate/MONOIDAL_ADD_' 'isa/lcm_nat.semilattice_axioms'#@#variant
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/calc_num/ARITH_5' 'isa/inc.simps_3'
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/one_integer.rep_eq'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/Nat.add_0_right'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_MUL_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/cnj.sel_2'#@#variant
0. 'hl/thm/Complex/cpoly/POLY_DIVIDES_ADD_'#@#variant 'isa/dvd_diff_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/int/INT_ABS_1_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_1' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_13'#@#variant
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/int/INT_ADD_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_7'#@#variant
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_17'#@#variant
0. 'hl/thm/realax/HREAL_ADD_ASSOC_' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/calc_num/ARITH_60' 'isa/arctan_le_zero_iff'#@#variant
0. 'hl/thm/arith/FACT_MONO_' 'isa/Suc_mono'#@#variant
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/sgn_integer.abs_eq'#@#variant
0. 'hl/thm/real/REAL_MIN_ASSOC_' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/iterate/MONOIDAL_ADD_' 'isa/gcd_nat.semilattice_axioms'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INV_'#@#variant 'isa/sgn_integer.rep_eq'#@#variant
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/Library/prime/PRIME_2_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_7'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/arg_zero'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/natural.size_1'#@#variant
0. 'hl/thm/Library/prime/PRIME_2_'#@#variant 'isa/less_eq_int_code_1'#@#variant
0. 'hl/thm/real/REAL_LT_RMUL_'#@#variant 'isa/mult_less_mono1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/transfer_nat_int_numerals_2'#@#variant
0. 'hl/thm/realax/REAL_LE_MUL_'#@#variant 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/Library/transc/SIN_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_1_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RDISTRIB_' 'isa/nat_distrib_3'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/Nat.add_0_right'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_LE_' 'isa/less_natural.abs_eq'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant 'isa/Suc_Rep_inject\''
0. 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CCOS_CACS_'#@#variant 'isa/arctan/2'#@#variant
0. 'hl/thm/int/INT_SGN_MUL_' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/calc_num/ARITH_98' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/uminus_complex.sel_2'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_NEG_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/int/INT_MUL_LNEG_' 'isa/plus_nat.simps_2'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_6'#@#variant 'isa/arctan_le_zero_iff'#@#variant
0. 'hl/thm/Library/pocklington/EVEN_PHI_'#@#variant 'isa/exp_gt_one'#@#variant
0. 'hl/thm/Library/floor/FLOOR_NUM_' 'isa/sgn_cis'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI_'#@#variant 'isa/tan_gt_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_SUB_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/realax/TREAL_MUL_WELLDEF_'#@#variant 'isa/gcd_nat.mono'#@#variant
0. 'hl/thm/realax/NADD_EQ_REFL_' 'isa/dvd.order.refl'#@#variant
0. 'hl/thm/real/REAL_MUL_2_'#@#variant 'isa/gcd_idem_int'#@#variant
0. 'hl/thm/arith/SUB_0_/0'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_left'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/int_of_integer_integer_of_int'
0. 'hl/thm/Library/pratt/PHI_1_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_0'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_6'#@#variant
0. 'hl/thm/int/INT_SUB_RDISTRIB_' 'isa/int_distrib_1'#@#variant
0. 'hl/thm/calc_num/ARITH_57' 'isa/arctan_eq_iff'
0. 'hl/thm/Library/floor/RATIONAL_INV_EQ_' 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/Rep_rat_inverse'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_LMUL_' 'isa/plus_nat.simps_2'#@#variant
0. 'hl/thm/nums/BIT1_DEF_' 'isa/arith_simps_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_54' 'isa/arctan_eq_iff'
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/zero_integer.rep_eq'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LT_EQ_' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_98' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/realax/TREAL_MUL_WELLDEF_'#@#variant 'isa/lcm_semilattice_nat.sup.mono'#@#variant
0. 'hl/thm/real/REAL_ADD_RDISTRIB_' 'isa/min_diff'#@#variant
0. 'hl/thm/realax/HREAL_INV_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/int/int_ge_' 'isa/less_eq_integer.abs_eq'#@#variant
0. 'hl/thm/int/INT_LT_NEGTOTAL_'#@#variant 'isa/Real.positive_minus'#@#variant
0. 'hl/thm/Library/pocklington/PHI_EQ_0_'#@#variant 'isa/csqrt_eq_1'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_2' 'isa/gcd_ac_int_3'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_RMUL2_EQ_'#@#variant 'isa/pow_divides_eq_nat'#@#variant
0. 'hl/thm/Library/pocklington/PHI_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_31'#@#variant
0. 'hl/thm/realax/NADD_LE_TRANS_' 'isa/dvd.dual_order.trans'#@#variant
0. 'hl/thm/arith/PRE_0'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_48' 'isa/arctan_eq_iff'
0. 'hl/thm/nums/NUM_REP_RULES_0' 'isa/pi_half_gt_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_ADD_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/int/INT_NEG_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Library/floor/FLOOR_/0' 'isa/zero_less_Suc'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CTAN_'#@#variant 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_15'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/nat_of_natural_of_nat_inverse'
0. 'hl/thm/int/INT_LE_SUB_RADD_' 'isa/le_diff_conv'#@#variant
0. 'hl/thm/calc_rat/DECIMAL_' 'isa/minus_int_code_3'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_ADD_' 'isa/dvd_diff_nat'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_1_'#@#variant 'isa/rel_simps_1'#@#variant
0. 'hl/thm/arith/MULT_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PERIODIC_PI_' 'isa/cos_minus_pi'#@#variant
0. 'hl/thm/int/int_ge_' 'isa/less_int_code_5'#@#variant
0. 'hl/thm/Library/analysis/SUC_SUB1_'#@#variant 'isa/Suc_natural_minus_one'#@#variant
0. 'hl/thm/Library/prime/INDEX_TRIVIAL_BOUND_' 'isa/gcd_lcm_lattice_nat.inf_sup_ord_2'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_NEG_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/Library/transc/ATN_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_LE_'#@#variant 'isa/sin_ge_zero'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_1'#@#variant 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_1_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/ii.sel_1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nat_of_nibble.simps_3'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/arith/LT_ADD2_' 'isa/mult_le_mono'#@#variant
0. 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant 'isa/less_eq_integer.abs_eq'#@#variant
0. 'hl/thm/int/INT_SGN_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/arith/SUB_0'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/realax/NADD_LE_0_'#@#variant 'isa/le0'#@#variant
0. 'hl/thm/calc_num/ARITH_93' 'isa/sin_le_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_EQ_' 'isa/rel_simps_4'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GE_' 'isa/less_natural.abs_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/real/REAL_SUB_LZERO_'#@#variant 'isa/gcd_0_left_int'#@#variant
0. 'hl/thm/real/REAL_MAX_MAX_/0' 'isa/le_add1'#@#variant
0. 'hl/thm/realax/NADD_LE_RMUL_' 'isa/div_le_mono'#@#variant
0. 'hl/thm/real/REAL_ABS_INV_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2' 'isa/gcd_ac_int_3'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/minus_int_code_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/Re_complex_of_real'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_1'#@#variant 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/Library/rstc/RSTC_TRANS_R_' 'isa/transitive_closurep_trans\'_4'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_NEG_' 'isa/cnj.sel_1'
0. 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant 'isa/Rep_rat_inject'#@#variant
0. 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/real/REAL_LE_POW2_'#@#variant 'isa/nat_of_num_pos'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_LT_' 'isa/less_eq_natural.abs_eq'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_2'#@#variant 'isa/plus_integer_code_2'#@#variant
0. 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_2_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_5'#@#variant
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant 'isa/less_int_code_2'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GT_' 'isa/less_eq_integer.abs_eq'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/Rep_Nat_inverse'
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/real/REAL_MAX_ASSOC_' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_MUL_' 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_3'#@#variant
0. 'hl/thm/calc_num/ARITH_83' 'isa/sin_le_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/Code_Numeral.dup_code_2'
0. 'hl/thm/calc_num/ARITH_82' 'isa/sin_le_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_1_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/Library/rstc/RSC_REFL_' 'isa/rtranclp.intros_1'
0. 'hl/thm/Library/rstc/TC_TRANS_' 'isa/transitive_closurep_trans\'_1'
0. 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant 'isa/dvd.order.refl'#@#variant
0. 'hl/thm/Library/transc/SQRT_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/int/int_ge_' 'isa/less_integer_code_5'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_INV_EQ_'#@#variant 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/Library/analysis/POW_ABS_' 'isa/real_sqrt_power'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/Code_Numeral.dup_code_2'
0. 'hl/thm/int/INT_MIN_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_0_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/int/INT_MUL_ASSOC_' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/real/REAL_LT_LMUL_'#@#variant 'isa/zmult_zless_mono2'#@#variant
0. 'hl/thm/Library/transc/ATN_INJ_' 'isa/exp_inj_iff'#@#variant
0. 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_right'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/uminus_integer.abs_eq'#@#variant
0. 'hl/thm/int/INT_SGN_MUL_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/arith/ADD_AC_2' 'isa/lcm_ac_int_3'#@#variant
0. 'hl/thm/Multivariate/metric/EVENTUALLY_MP_' 'isa/eventually_rev_mp'
0. 'hl/thm/int/INT_OF_NUM_GE_' 'isa/less_eq_integer_code_5'#@#variant
0. 'hl/thm/int/num_divides_' 'isa/less_integer_code_5'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/int_of_integer_integer_of_int'
0. 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_'#@#variant 'isa/le_imp_0_less'#@#variant
0. 'hl/thm/Library/transc/COS_BOUNDS_/0'#@#variant 'isa/sin_ge_minus_one'#@#variant
0. 'hl/thm/real/REAL_LT_LMUL_'#@#variant 'isa/mult_less_mono2'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_MUL_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Library/analysis/SUB_OLD_0'#@#variant 'isa/min_0L'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_13'#@#variant
0. 'hl/thm/real/REAL_INV_NEG_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/real/REAL_SGN_DIV_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/choose_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Library/pocklington/PHI_1_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/num_of_nat.simps_1'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant 'isa/times_int_code_1'#@#variant
0. 'hl/thm/int/INT_LE_TRANS_' 'isa/dvd.order_trans'#@#variant
0. 'hl/thm/arith/ADD_EQ_0_'#@#variant 'isa/nat_mult_eq_1_iff'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant 'isa/rel_simps_19'
0. 'hl/thm/Library/floor/INTEGER_ABS_' 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_LT_1_'#@#variant 'isa/ln_gt_zero'#@#variant
0. 'hl/thm/Library/pratt/PHI_LOWERBOUND_2_'#@#variant 'isa/ln_gt_zero'#@#variant
0. 'hl/thm/real/REAL_LT_01_'#@#variant 'isa/pos2'#@#variant
0. 'hl/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant 'isa/diff_le_mono'#@#variant
0. 'hl/thm/Library/transc/PI_POS_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_5'#@#variant
0. 'hl/thm/int/INT_LE_MIN_' 'isa/gcd_nat.bounded_iff'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_RMUL2_EQ_'#@#variant 'isa/pow_divides_eq_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/nat_of_integer_integer_of_nat'
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/nat_of_integer_of_nat'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_' 'isa/arctan_eq_iff'
0. 'hl/thm/int/INT_ENTIRE_'#@#variant 'isa/lcm_0_iff_int'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/lcm_nat.comm_neutral'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_ONE_'#@#variant 'isa/diff_0_eq_0'#@#variant
0. 'hl/thm/Library/transc/SIN_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/Rep_Nat_inverse'
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/int/int_of_num_th_' 'isa/real_floor_code'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant 'isa/plus_integer_code_2'#@#variant
0. 'hl/thm/calc_num/ARITH_30' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant 'isa/lcm_0_iff_nat'#@#variant
0. 'hl/thm/calc_num/ARITH_9' 'isa/arith_simps_2'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_3'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/sgn_integer.abs_eq'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_1' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/Library/analysis/POW_ABS_' 'isa/complex_cnj_power'#@#variant
0. 'hl/thm/calc_num/ARITH_4' 'isa/arith_simps_2'#@#variant
0. 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/nat_mult_1_right'#@#variant
0. 'hl/thm/real/REAL_LT_ADD2_' 'isa/add_less_mono'#@#variant
0. 'hl/thm/int/INT_LE_MIN_' 'isa/gcd_semilattice_nat.le_inf_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_POS_LE_'#@#variant 'isa/exp_gt_zero'#@#variant
0. 'hl/thm/int/INT_MAX_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_POS_LE_'#@#variant 'isa/cos_ge_minus_one'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_LT_0_'#@#variant 'isa/Im_complex_div_lt_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/Re_complex_of_real'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_INV_EQ_' 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_ADD_' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/minus_int_code_1'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_LZERO_'#@#variant 'isa/times_integer_code_2'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_EQ_' 'isa/int_of_integer_inject'
0. 'hl/thm/calc_num/ARITH_30' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/real/REAL_SUB_REFL_'#@#variant 'isa/binomial_n_n'#@#variant
0. 'hl/thm/calc_num/ARITH_20' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_LN_'#@#variant 'isa/exp_ln_iff'#@#variant
0. 'hl/thm/Library/floor/FLOOR_NUM_' 'isa/complex_cnj_complex_of_real'#@#variant
0. 'hl/thm/Library/rstc/RSTC_RULES_/0' 'isa/tranclp.intros_1'
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/nat_of_num_inc'
0. 'hl/thm/real/REAL_SGN_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/one_integer.rep_eq'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_17'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_POS_PI_'#@#variant 'isa/cos_ge_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/Int.dup_code_3'
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/arith/MULT_AC_2' 'isa/lcm_ac_nat_3'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/one_int_code'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/Real.positive_add'#@#variant
0. 'hl/thm/int/INT_MAX_LE_' 'isa/lcm_semilattice_nat.sup.bounded_iff'#@#variant
0. 'hl/thm/arith/TWO_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/Real.positive_add'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI_LE_'#@#variant 'isa/sin_gt_zero2'#@#variant
0. 'hl/thm/int/INT_NEG_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/wf/WF_FALSE_' 'isa/wfP_empty'
0. 'hl/thm/sets/UNIV_' 'isa/Quot_True_def'
0. 'hl/thm/int/int_of_num_th_' 'isa/integer_of_natural_of_nat'#@#variant
0. 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/real/REAL_ABS_0_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/calc_num/ARITH_16' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/Library/floor/FLOOR_FRAC_/2'#@#variant 'isa/arctan/1'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_2' 'isa/gcd_ac_nat_3'#@#variant
0. 'hl/thm/int/INT_ADD_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/nums/NUM_REP_RULES_0' 'isa/Nat_Transfer.transfer_int_nat_function_closures_7'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/transfer_nat_int_numerals_2'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_CX_'#@#variant 'isa/sgn_cis'#@#variant
0. 'hl/thm/realax/treal_eq_'#@#variant 'isa/intrel_iff'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/char_of_nat_of_char'
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/int_0'#@#variant
0. 'hl/thm/int/INT_SGN_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/calc_num/ARITH_20' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_ASSOC_'#@#variant 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/arith/FACT_MONO_' 'isa/exp_less_mono'#@#variant
0. 'hl/thm/calc_num/ARITH_10' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/int/int_lt_' 'isa/less_integer.abs_eq'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/num_of_nat.simps_1'#@#variant
0. 'hl/thm/Library/transc/ATN_0_'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_GE_0_'#@#variant 'isa/Re_complex_div_gt_0'#@#variant
0. 'hl/thm/Complex/complex_transc/COMPLEX_II_NZ_'#@#variant 'isa/sumbool.simps_2'
0. 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_0'#@#variant 'isa/pi_ge_zero'#@#variant
0. 'hl/thm/int/INT_LE_LMUL_'#@#variant 'isa/powr_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_10'#@#variant
0. 'hl/thm/arith/ADD_ASSOC_' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/calc_num/ARITH_57' 'isa/natural.simps_1'
0. 'hl/thm/Library/analysis/REAL_DIV_LZERO_'#@#variant 'isa/lcm_0_left_nat'#@#variant
0. 'hl/thm/realax/NADD_LE_0_'#@#variant 'isa/rel_simps_1'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_POS_LE_'#@#variant 'isa/Nat.intros_2'
0. 'hl/thm/int/int_abs_th_' 'isa/abs_integer.abs_eq'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_POS_LT_'#@#variant 'isa/zero_less_Suc'#@#variant
0. 'hl/thm/arith/MULT_EXP_' 'isa/int_distrib_3'#@#variant
0. 'hl/thm/calc_num/ARITH_54' 'isa/natural.simps_1'
0. 'hl/thm/arith/PRE_0'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/nibble_of_nat_of_nibble'
0. 'hl/thm/calc_num/ARITH_16' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_TRIANGLE_' 'isa/real_of_nat_div4'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/Code_Numeral.dup_code_3'
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Library/pratt/PHI_PRIME_'#@#variant 'isa/powr_neg_one'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_ADD_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/Library/transc/COS_POS_PI2_'#@#variant 'isa/sin_gt_zero2'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_NEG_' 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/int/INT_ADD_LID_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_left'#@#variant
0. 'hl/thm/int/int_gt_' 'isa/less_eq_int_code_5'#@#variant
0. 'hl/thm/calc_num/ARITH_10' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_ADD_REVL_' 'isa/zdvd_zdiffD'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_RNEG_' 'isa/add_inc'#@#variant
0. 'hl/thm/Complex/complex_transc/COMPLEX_II_NZ_'#@#variant 'isa/pi_neq_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/realax/NADD_MUL_WELLDEF_LEMMA_' 'isa/mult_le_mono2'#@#variant
0. 'hl/thm/arith/SUB_0_/0'#@#variant 'isa/times_nat.simps_1'#@#variant
0. 'hl/thm/realax/TREAL_EQ_REFL_'#@#variant 'isa/le_refl'#@#variant
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/int_of_integer_inverse'
0. 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_9'#@#variant
0. 'hl/thm/Library/pratt/PHI_LOWERBOUND_1_'#@#variant 'isa/exp_gt_one'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NEG_EQ_' 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GT_' 'isa/less_natural.abs_eq'#@#variant
0. 'hl/thm/calc_num/ARITH_48' 'isa/natural.simps_1'
0. 'hl/thm/Library/prime/DIVIDES_RMUL_' 'isa/lcm_semilattice_nat.sup.coboundedI1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_4'#@#variant
0. 'hl/thm/arith/LE_ADDR_' 'isa/lcm_semilattice_nat.sup.cobounded2'#@#variant
0. 'hl/thm/calc_num/ARITH_44' 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LID_'#@#variant 'isa/arith_simps_11'#@#variant
0. 'hl/thm/int/int_sgn_th_' 'isa/abs_integer.rep_eq'#@#variant
0. 'hl/thm/int/INT_SGN_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/arith/LT_ADD2_' 'isa/lcm_semilattice_nat.sup_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_POW_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_4'#@#variant
0. 'hl/thm/calc_num/ARITH_40' 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/int/INT_ADD_LDISTRIB_' 'isa/int_distrib_4'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_28'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/binomial_1'#@#variant
0. 'hl/thm/int/int_sgn_th_' 'isa/Int.dup_code_2'
0. 'hl/thm/arith/SUB_1' 'isa/powr_minus'#@#variant
0. 'hl/thm/arith/MULT_AC_2' 'isa/gcd_ac_nat_3'#@#variant
0. 'hl/thm/arith/LE_ADDR_' 'isa/lcm_dvd2_int'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LT_' 'isa/arctan_monotone'#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/real_uminus_code'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_MONO_LT_EQ_'#@#variant 'isa/tan_mono_le_eq'#@#variant
0. 'hl/thm/Library/rstc/STC_TRANS_' 'isa/transitive_closurep_trans\'_2'
0. 'hl/thm/real/REAL_ABS_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/one_int_code'#@#variant
0. 'hl/thm/Library/primitive/INT_PRIME_' 'isa/zero_less_nat_eq'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nat_of_nibble.simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NEG_' 'isa/BitM.simps_3'
0. 'hl/thm/realax/REAL_ADD_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/int/INT_ABS_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_3' 'isa/lcm_nat.idem'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_MUL_'#@#variant 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/arith/LE_0_'#@#variant 'isa/rel_simps_1'#@#variant
0. 'hl/thm/Library/rstc/TC_RULES_/0' 'isa/tranclp.intros_1'
0. 'hl/thm/Library/rstc/RSTC_TRANS_' 'isa/transitive_closurep_trans\'_2'
0. 'hl/thm/realax/NADD_EQ_IMP_LE_' 'isa/le_simps_1'#@#variant
0. 'hl/thm/Library/transc/ATN_INJ_' 'isa/arctan_eq_iff'
0. 'hl/thm/Multivariate/transcendentals/CX_EXP_'#@#variant 'isa/cnj.sel_2'#@#variant
0. 'hl/thm/arith/ADD_ASSOC_' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/real/REAL_LE_INV_EQ_'#@#variant 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_DIV_'#@#variant 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/natural_of_nat_of_natural_inverse'
0. 'hl/thm/arith/MOD_LT_' 'isa/gcd_nat.orderE'#@#variant
0. 'hl/thm/arith/EVEN_DOUBLE_'#@#variant 'isa/zero_less_Suc'#@#variant
0. 'hl/thm/real/REAL_ABS_1_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/arith/LT_POW2_REFL_'#@#variant 'isa/fact_ge_self'#@#variant
0. 'hl/thm/calc_num/ARITH_104' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/realax/HREAL_ADD_AC_2' 'isa/gcd_ac_int_3'#@#variant
0. 'hl/thm/real/REAL_MIN_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/arith/RIGHT_SUB_DISTRIB_' 'isa/nat_mult_max_left'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/num.size_1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble_of_nat_simps_3'#@#variant
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/int/INT_MUL_LZERO_'#@#variant 'isa/power_Suc_0'#@#variant
0. 'hl/thm/real/REAL_LT_MUL_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_LT_0_'#@#variant 'isa/Re_complex_div_le_0'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_NEG_' 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/abs_integer.abs_eq'#@#variant
0. 'hl/thm/Library/transc/TAN_COT_'#@#variant 'isa/tan_cot'#@#variant
0. 'hl/thm/real/REAL_LE_LMUL_EQ_'#@#variant 'isa/nat_mult_less_cancel1'#@#variant
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/pow.simps_1'
0. 'hl/thm/Library/transc/ATN_INJ_' 'isa/num.simps_1'
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LE_' 'isa/Suc_le_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant 'isa/Zero_neq_Suc'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/Code_Numeral.dup_code_2'
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_EQ_' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/real/REAL_NOT_EQ_' 'isa/nat_neq_iff'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_0' 'isa/nat_of_num_pos'#@#variant
0. 'hl/thm/lists/BUTLAST_0' 'isa/remdups_adj.simps_1'
0. 'hl/thm/int/INT_LE_RMUL_'#@#variant 'isa/zdiv_mono1'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CCOS_' 'isa/nat_of_num_inc'
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/nat_of_natural_inverse'
0. 'hl/thm/realax/TREAL_EQ_TRANS_'#@#variant 'isa/dvd.dual_order.trans'#@#variant
0. 'hl/thm/int/INT_MUL_RID_'#@#variant 'isa/minus_int_code_1'#@#variant
0. 'hl/thm/arith/SUB_0'#@#variant 'isa/binomial_1'#@#variant
0. 'hl/thm/int/INT_MUL_LZERO_'#@#variant 'isa/times_nat.simps_1'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant 'isa/natural.simps_2'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/one_natural.rep_eq'#@#variant
0. 'hl/thm/Library/analysis/REAL_DIV_LZERO_'#@#variant 'isa/times_nat.simps_1'#@#variant
0. 'hl/thm/real/REAL_ABS_1_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_LE_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_5'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MUL_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nat_code_2'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nat_code_2'#@#variant
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/Library/transc/ACS_COS_'#@#variant 'isa/cos_arccos'#@#variant
0. 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Library/transc/COS_BOUNDS_/0'#@#variant 'isa/exp_gt_zero'#@#variant
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nat_of_nibble.simps_4'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_TRANS_' 'isa/dvd.order.trans'#@#variant
0. 'hl/thm/Library/poly/POLYDIFF_ADD_'#@#variant 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/Library/isum/MONOIDAL_INT_ADD_' 'isa/lcm_nat.semilattice_axioms'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LT_' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_ABS_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/one_natural_def'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_NEG_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_NEG_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_DIV_'#@#variant 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/nums/NUM_REP_RULES_0' 'isa/Nat_Transfer.transfer_nat_int_function_closures_6'#@#variant
0. 'hl/thm/int/INT_OF_NUM_EQ_' 'isa/explode_inject'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_GT_0_'#@#variant 'isa/Im_complex_div_ge_0'#@#variant
0. 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/Real.positive_add'#@#variant
0. 'hl/thm/int/INT_LE_MIN_' 'isa/gcd_greatest_iff_int'#@#variant
0. 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/pow.simps_1'
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/zero_complex.sel_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_right'#@#variant
0. 'hl/thm/real/REAL_SUB_LZERO_'#@#variant 'isa/minus_integer_code_2'#@#variant
0. 'hl/thm/int/INT_ABS_LE_' 'isa/fact_ge_self'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/transfer_nat_int_numerals_3'#@#variant
0. 'hl/thm/real/REAL_LE_DIV_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/cis_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LDISTRIB_' 'isa/nat_distrib_2'#@#variant
0. 'hl/thm/realax/HREAL_ADD_ASSOC_' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/Library/analysis/REAL_DIV_LZERO_'#@#variant 'isa/power_Suc_0'#@#variant
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LT_EQ_'#@#variant 'isa/nat_mult_le_cancel1'#@#variant
0. 'hl/thm/Library/transc/LN_POS_'#@#variant 'isa/ln_ge_zero'#@#variant
0. 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_TRANS_' 'isa/le_trans'#@#variant
0. 'hl/thm/Library/transc/TAN_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/realarith/REAL_ENTIRE_'#@#variant 'isa/lcm_0_iff_int'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_9'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/Suc.abs_eq'
0. 'hl/thm/arith/FACT_NZ_'#@#variant 'isa/rel_simps_18'
0. 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/Real.positive_mult'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/int_0'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_CX_'#@#variant 'isa/abs_int_eq'#@#variant
0. 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LT_' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_0_'#@#variant 'isa/binomial_n_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_ADD_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/plus_integer_code_1'#@#variant
0. 'hl/thm/Library/transc/COS_SIN_'#@#variant 'isa/tan_cot\''#@#variant
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/arith/LE_SUC_' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/arith/MULT_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_3'#@#variant
0. 'hl/thm/int/INT_ADD_RDISTRIB_' 'isa/nat_distrib_1'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_LE_X_'#@#variant 'isa/exp_ge_add_one_self_aux'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GT_' 'isa/real_less_eq_code'#@#variant
0. 'hl/thm/int/int_sgn_th_' 'isa/Code_Numeral.dup_code_3'
0. 'hl/thm/Library/floor/RATIONAL_NEG_' 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/one_complex.sel_1'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_LT_' 'isa/zless_int'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LDISTRIB_' 'isa/gcd_mult_distrib_nat'#@#variant
0. 'hl/thm/Library/transc/LN_POS_'#@#variant 'isa/ln_gt_zero'#@#variant
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/int/int_gt_' 'isa/zless_int'#@#variant
0. 'hl/thm/Library/floor/REAL_OF_INT_OF_REAL_' 'isa/nat_0_le'#@#variant
0. 'hl/thm/real/REAL_POW_LE_1_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_4'#@#variant
0. 'hl/thm/Library/transc/SIN_PI_'#@#variant 'isa/tan_pi'#@#variant
0. 'hl/thm/Library/transc/TAN_NEG_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_LE_' 'isa/less_integer_code_5'#@#variant
0. 'hl/thm/real/REAL_LT_ADD2_' 'isa/lcm_semilattice_nat.sup_mono'#@#variant
0. 'hl/thm/arith/PRE_0'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Library/pratt/PHI_1_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/int/INT_SGN_NEG_' 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/arith/PRE_0'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Library/floor/INTEGER_ADD_' 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/int/INT_SUB_RZERO_'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/Library/rstc/TC_INC_' 'isa/tranclp.intros_1'
0. 'hl/thm/Library/rstc/RC_INC_' 'isa/r_into_rtranclp'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant 'isa/lcm_0_nat'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_IMP_' 'isa/exp_less_mono'#@#variant
0. 'hl/thm/calc_num/ARITH_44' 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/abs_integer.abs_eq'#@#variant
0. 'hl/thm/Library/pratt/PHI_1_'#@#variant 'isa/real_sqrt_zero'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_LT_' 'isa/real_less_eq_code'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_6'#@#variant
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/calc_num/ARITH_40' 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_1' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/int/INT_SUB_RDISTRIB_' 'isa/nat_distrib_1'#@#variant
0. 'hl/thm/Library/transc/LN_1_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_4' 'isa/lcm_nat.left_idem'#@#variant
0. 'hl/thm/lists/ITLIST_0' 'isa/fold_simps_1'
0. 'hl/thm/int/int_of_num_' 'isa/complex_Re_of_nat'#@#variant
0. 'hl/thm/Library/transc/SQRT_POS_LE_'#@#variant 'isa/real_sqrt_gt_zero'#@#variant
0. 'hl/thm/arith/SUC_SUB1_'#@#variant 'isa/Suc_natural_minus_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LDISTRIB_' 'isa/gcd_mult_distrib_nat'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/nat_of_natural_of_nat_inverse'
0. 'hl/thm/arith/PRE_0'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_BOUNDS_/0'#@#variant 'isa/exp_ge_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/unit.size_1'#@#variant
0. 'hl/thm/real/REAL_MAX_MAX_/0' 'isa/lcm_dvd1_nat'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nat_of_num.simps_1'#@#variant
0. 'hl/thm/realax/REAL_LE_TRANS_' 'isa/dvd.order.trans'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_14'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_MUL2_' 'isa/mult_le_mono'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant 'isa/rel_simps_17'
0. 'hl/thm/realax/NADD_LE_ADD_' 'isa/gcd_lcm_lattice_nat.inf_sup_ord_3'#@#variant
0. 'hl/thm/Library/transc/SQRT_1_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/calc_num/ARITH_97' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/Library/transc/TAN_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_94' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/real_uminus_code'#@#variant
0. 'hl/thm/Library/transc/SIN_PERIODIC_PI_' 'isa/cos_minus_pi'#@#variant
0. 'hl/thm/calc_num/ARITH_0'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Library/transc/SIN_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_LT_' 'isa/less_int_code_5'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/pred_numeral_simps_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nat_of_num.simps_1'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GE_' 'isa/less_eq_integer.abs_eq'#@#variant
0. 'hl/thm/real/REAL_LE_MUL_EQ_1'#@#variant 'isa/pos_imp_zdiv_nonneg_iff'#@#variant
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/Real.positive_add'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/uminus_integer.abs_eq'#@#variant
0. 'hl/thm/Library/transc/SQRT_1_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Library/rstc/RSC_INC_' 'isa/r_into_rtranclp'
0. 'hl/thm/calc_num/ARITH_52' 'isa/complex_cnj_zero_iff'#@#variant
0. 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant 'isa/add_less_mono1'#@#variant
0. 'hl/thm/Library/transc/TAN_NEG_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_0'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_5'#@#variant
0. 'hl/thm/calc_num/ARITH_50' 'isa/complex_cnj_zero_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/int_of_integer_inverse'
0. 'hl/thm/Library/analysis/REAL_10_'#@#variant 'isa/pi_half_neq_zero'#@#variant
0. 'hl/thm/calc_num/ARITH_88' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant 'isa/inverse_sgn'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_POS_PI2_'#@#variant 'isa/cos_gt_zero'#@#variant
0. 'hl/thm/calc_num/ARITH_87' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant 'isa/powr_less_cancel_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_18'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/real_uminus_code'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/calc_num/ARITH_84' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/nat_of_integer_of_nat'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_ADD_' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/calc_num/ARITH_5' 'isa/BitM.simps_2'
0. 'hl/thm/Complex/complex_transc/CSQRT_'#@#variant 'isa/power2_csqrt'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_0' 'isa/less_eq_int_code_2'#@#variant
0. 'hl/thm/Library/transc/SQRT_1_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_INV_' 'isa/nat_of_num_inc'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nat_of_nibble.simps_3'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/one_integer_def'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RE_CACS_BOUNDS_/0'#@#variant 'isa/Re_csqrt'#@#variant
0. 'hl/thm/int/num_divides_' 'isa/less_eq_integer.abs_eq'#@#variant
0. 'hl/thm/int/int_gt_' 'isa/less_natural.abs_eq'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_8'#@#variant 'isa/sgn_le_0_iff'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GT_' 'isa/less_eq_int_code_5'#@#variant
0. 'hl/thm/Library/analysis/SUB_OLD_0'#@#variant 'isa/power_Suc_0'#@#variant
0. 'hl/thm/arith/MULT_AC_2' 'isa/lcm_ac_int_3'#@#variant
0. 'hl/thm/calc_num/ARITH_78' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_77' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RDISTRIB_' 'isa/nat_distrib_1'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_RMUL_' 'isa/lcm_semilattice_nat.le_supI1'#@#variant
0. 'hl/thm/calc_num/ARITH_97' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/Library/pocklington/PHI_EQ_0_'#@#variant 'isa/complex_cnj_zero_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_74' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant 'isa/natural.simps_3'#@#variant
0. 'hl/thm/arith/ADD_EQ_0_'#@#variant 'isa/lcm_1_iff_nat'#@#variant
0. 'hl/thm/calc_num/ARITH_94' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/realax/HREAL_LE_REFL_' 'isa/dvd.order.refl'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_4'#@#variant
0. 'hl/thm/int/int_of_num_' 'isa/integer_of_nat_numeral'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_LZERO_'#@#variant 'isa/lcm_0_left_int'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant 'isa/real_sqrt_inverse'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/integer_of_nat_0'#@#variant
0. 'hl/thm/real/REAL_SGN_POW_' 'isa/real_sqrt_power'#@#variant
0. 'hl/thm/nums/IND_SUC_0_' 'isa/Zero_not_Suc'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble_of_nat_simps_2'#@#variant
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/Library/transc/PI2_BOUNDS_0'#@#variant 'isa/pi_ge_zero'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_1' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/Library/rstc/RTC_REFL_' 'isa/rtranclp.intros_1'
0. 'hl/thm/real/REAL_LE_01_'#@#variant 'isa/pos2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CEXP_'#@#variant 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_4' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_8'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_INJ_' 'isa/nat.simps_1'
0. 'hl/thm/calc_num/ARITH_68' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/EXISTS_REAL_'#@#variant 'isa/transfer_int_nat_quantifiers_2'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_LZERO_'#@#variant 'isa/lcm_0_left_nat'#@#variant
0. 'hl/thm/Library/pratt/PHI_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI2_'#@#variant 'isa/tan_gt_zero'#@#variant
0. 'hl/thm/Library/transc/TAN_NEG_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/calc_num/ARITH_88' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/Rep_Nat_inverse'
0. 'hl/thm/calc_num/ARITH_67' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/Library/pocklington/PHI_0_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/calc_num/ARITH_87' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/iterate/MONOIDAL_ADD_' 'isa/lcm_semilattice_nat.Sup_fin.semilattice_set_axioms'#@#variant
0. 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_64' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/real/REAL_SUB_RZERO_'#@#variant 'isa/plus_int_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_84' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/Library/rstc/TC_RULES_/1' 'isa/transitive_closurep_trans\'_1'
0. 'hl/thm/Library/transc/ATN_MONO_LT_EQ_' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/minus_nat.simps_1'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_2_'#@#variant 'isa/less_eq_int_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_INJ_' 'isa/real_sqrt_eq_iff'
0. 'hl/thm/int/INT_POS_'#@#variant 'isa/nat_of_num_pos'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_ONE_'#@#variant 'isa/power_Suc_0'#@#variant
0. 'hl/thm/Library/transc/TAN_PERIODIC_NPI_' 'isa/tan_periodic_int'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GT_' 'isa/transfer_int_nat_relations_2'#@#variant
0. 'hl/thm/int/INT_MIN_MIN_/0' 'isa/Divides.mod_less_eq_dividend'#@#variant
0. 'hl/thm/realax/HREAL_INV_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INJ_' 'isa/STR_inject\''#@#variant
0. 'hl/thm/int/INT_NEG_MINUS1_'#@#variant 'isa/gcd_0_left_int'#@#variant
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/Rep_int_inverse'#@#variant
0. 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant 'isa/less_integer.abs_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/real/REAL_INV_INV_' 'isa/complex_cnj_cnj'
0. 'hl/thm/Multivariate/transcendentals/CX_COS_'#@#variant 'isa/Suc.rep_eq'
0. 'hl/thm/realax/NADD_EQ_TRANS_' 'isa/dvd.order_trans'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/realarith/REAL_LE_ADD_'#@#variant 'isa/lcm_pos_nat'#@#variant
0. 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant 'isa/transfer_int_nat_relations_2'#@#variant
0. 'hl/thm/realax/HREAL_LE_TRANS_' 'isa/dvd.dual_order.trans'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_INJ_'#@#variant 'isa/num.simps_1'
0. 'hl/thm/calc_num/ARITH_58' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/int/int_sub_' 'isa/nat_int_add'#@#variant
0. 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant 'isa/complex_cnj_cancel_iff'
0. 'hl/thm/calc_num/ARITH_78' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/int/INT_OF_NUM_EQ_' 'isa/STR_inject\''#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/nat_of_natural_inverse'
0. 'hl/thm/calc_num/ARITH_77' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/Library/pocklington/PHI_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/Library/transc/TAN_PI_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/Suc.rep_eq'
0. 'hl/thm/Library/transc/SIN_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/calc_num/ARITH_74' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_SIN_'#@#variant 'isa/cnj.sel_2'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/real/REAL_SGN_DIV_' 'isa/real_sqrt_divide'#@#variant
0. 'hl/thm/int/int_of_num_' 'isa/complex_Re_numeral'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MUL_' 'isa/int_distrib_1'#@#variant
0. 'hl/thm/Library/transc/ATN_/1'#@#variant 'isa/arctan_ubound'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_ADD_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/int/INT_ADD_LID_'#@#variant 'isa/max_0L'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/real/REAL_ABS_MUL_' 'isa/complex_cnj_mult'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/zero_natural_def'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_GE_0_'#@#variant 'isa/complex_div_gt_0/0'#@#variant
0. 'hl/thm/nums/SUC_INJ_' 'isa/rel_simps_20'
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/lists/ALL_MP_' 'isa/not_eventually_impI'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant 'isa/plus_int_code_2'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_EQ_' 'isa/quotient_of_inject_eq'#@#variant
0. 'hl/thm/Library/prime/EQ_PRIMEPOW_' 'isa/nat_mult_eq_cancel1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CSIN_CASN_'#@#variant 'isa/tan_arctan'#@#variant
0. 'hl/thm/realarith/REAL_LTE_ADD_'#@#variant 'isa/ge_one_powr_ge_zero'#@#variant
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_EXP_' 'isa/mult_le_mono1'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_INJ_' 'isa/old.nat.inject'
0. 'hl/thm/calc_num/ARITH_68' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/Library/floor/FLOOR_MONO_' 'isa/arctan_monotone\''#@#variant
0. 'hl/thm/calc_num/ARITH_67' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/int/int_le_' 'isa/less_integer.abs_eq'#@#variant
0. 'hl/thm/int/int_gt_' 'isa/zle_int'#@#variant
0. 'hl/thm/calc_num/ARITH_64' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/real/REAL_ABS_DIV_' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RZERO_'#@#variant 'isa/gcd_Suc_0'#@#variant
0. 'hl/thm/int/INT_MUL_LZERO_'#@#variant 'isa/diff_0_eq_0'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nat_1'#@#variant
0. 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant 'isa/exp_inj_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/Code_Numeral.dup_code_2'
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_20'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_RID_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_right'#@#variant
0. 'hl/thm/real/REAL_MAX_LT_' 'isa/lcm_semilattice_nat.le_sup_iff'#@#variant
0. 'hl/thm/realax/HREAL_MUL_LZERO_'#@#variant 'isa/diff_0_eq_0'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_ADD_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/Library/transc/LN_INJ_'#@#variant 'isa/ln_inj_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_2'#@#variant
0. 'hl/thm/Library/transc/LN_EXP_' 'isa/ln_exp'#@#variant
0. 'hl/thm/Library/pocklington/PHI_0_'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_AC_1' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/arith/LT_POW2_REFL_'#@#variant 'isa/lessI'#@#variant
0. 'hl/thm/int/int_ge_' 'isa/less_eq_int_code_5'#@#variant
0. 'hl/thm/calc_num/ARITH_58' 'isa/rel_simps_6'#@#variant
0. 'hl/thm/Library/prime/PRIME_2_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_5'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/sin_coeff_0'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nat_of_num_code_1'#@#variant
0. 'hl/thm/Library/prime/PRIME_1_'#@#variant 'isa/Real.positive_zero'#@#variant
0. 'hl/thm/int/int_eq_' 'isa/nat_of_natural_inject'
0. 'hl/thm/Complex/complexnumbers/CNJ_INV_' 'isa/complex_cnj_inverse'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Library/rstc/SC_RULES_/0' 'isa/r_into_rtranclp'
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/uminus_complex.sel_1'#@#variant
0. 'hl/thm/Library/analysis/REAL_10_'#@#variant 'isa/complex_i_not_zero'#@#variant
0. 'hl/thm/nums/IND_SUC_INJ_' 'isa/complex_cnj_cancel_iff'
0. 'hl/thm/real/REAL_OF_NUM_GE_' 'isa/less_natural.abs_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_1'#@#variant 'isa/pi_ge_two'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ABS_PI_' 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant 'isa/max_0L'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_NEG_' 'isa/inc.simps_3'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_0_'#@#variant 'isa/complex_cnj_zero_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/numerals_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/div_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/one_integer.rep_eq'#@#variant
0. 'hl/thm/arith/EXP_MONO_LE_IMP_' 'isa/add_le_mono1'#@#variant
0. 'hl/thm/realax/TREAL_OF_NUM_LE_'#@#variant 'isa/less_eq_integer_code_5'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MUL_' 'isa/min_diff'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_LID_'#@#variant 'isa/arith_simps_11'#@#variant
0. 'hl/thm/real/REAL_POW_LT_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_4'#@#variant
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_NEG2_' 'isa/real_sqrt_eq_iff'
0. 'hl/thm/realax/HREAL_ADD_RID_'#@#variant 'isa/Nat.add_0_right'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant 'isa/int_of_integer_inject'
0. 'hl/thm/Library/transc/ATN_MONO_LT_EQ_' 'isa/exp_le_cancel_iff'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_7'#@#variant
0. 'hl/thm/int/INT_LE_LMUL_'#@#variant 'isa/mult_less_mono2'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/zero_complex.sel_2'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/realax/REAL_INV_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/Multivariate/transcendentals/RPOW_ONE_'#@#variant 'isa/times_integer_code_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RDISTRIB_' 'isa/int_distrib_1'#@#variant
0. 'hl/thm/arith/LEFT_SUB_DISTRIB_' 'isa/gcd_mult_distrib_nat'#@#variant
0. 'hl/thm/Complex/complex_transc/CCOS_0_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/arith/RIGHT_ADD_DISTRIB_' 'isa/nat_mult_min_left'#@#variant
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_raw_0'#@#variant 'isa/int_of_integer_inverse'
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/arith/LE_ADD_' 'isa/lcm_dvd1_nat'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_0_'#@#variant 'isa/csqrt_eq_1'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_EQ_'#@#variant 'isa/int_int_eq'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_BOUND_'#@#variant 'isa/abs_cos_le_one'#@#variant
0. 'hl/thm/calc_num/ARITH_98' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ABS_PI_' 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/Real.positive_add'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_MUL2_' 'isa/add_le_mono'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/num.size_1'#@#variant
0. 'hl/thm/realax/TREAL_LE_REFL_'#@#variant 'isa/dvd.order_refl'#@#variant
0. 'hl/thm/real/REAL_SUB_LDISTRIB_' 'isa/nat_mult_max_right'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_ASSOC_' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/realax/REAL_ADD_ASSOC_' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/calc_num/ARITH_31'#@#variant 'isa/nat_1_add_1'#@#variant
0. 'hl/thm/Multivariate/misc/FROM_0_'#@#variant 'isa/is_nat_def'#@#variant
0. 'hl/thm/arith/LE_SUC_' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_LMUL_' 'isa/trans_less_add2'#@#variant
0. 'hl/thm/real/REAL_DIV_1_'#@#variant 'isa/pow.simps_1'
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_' 'isa/Suc_mono'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_LE_' 'isa/less_eq_natural.abs_eq'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/Real.positive_add'#@#variant
0. 'hl/thm/Library/rstc/RSTC_TRANS_L_' 'isa/tranclp.intros_2'
0. 'hl/thm/Library/floor/REAL_OF_INT_OF_REAL_' 'isa/int_nat_eq/0'#@#variant
0. 'hl/thm/Library/prime/LESS_EQ_0_'#@#variant 'isa/dvd_1_iff_1'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LE_EQ_' 'isa/rel_simps_13'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LT_' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/Library/pocklington/PHI_LOWERBOUND_1_STRONG_'#@#variant 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LT_EQ_' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/natural_of_integer_of_natural'
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nat_of_nibble.simps_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_NEG_' 'isa/Int.dup_code_3'
0. 'hl/thm/int/INT_LT_01_'#@#variant 'isa/less_eq_int_code_1'#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/sgn_integer.rep_eq'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/int/INT_LE_01_'#@#variant 'isa/pos2'#@#variant
0. 'hl/thm/Library/pocklington/ORDER_1_'#@#variant 'isa/times_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/nat_of_num_inverse'
0. 'hl/thm/Library/analysis/REAL_LE_LMUL_LOCAL_'#@#variant 'isa/powr_less_cancel_iff'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_13'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_14'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_0_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.top_greatest'#@#variant
0. 'hl/thm/arith/ONE_'#@#variant 'isa/cos_pi'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CEXP_' 'isa/Int.dup_code_2'
0. 'hl/thm/Library/transc/SIN_BOUNDS_/0'#@#variant 'isa/sin_ge_minus_one'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/Suc.abs_eq'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/numerals_1'#@#variant
0. 'hl/thm/calc_num/ARITH_3'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/int/INT_MIN_MIN_/1' 'isa/gcd_lcm_lattice_nat.inf_sup_ord_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_ADD_' 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/Library/floor/INTEGER_MUL_' 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/int/int_abstr_' 'isa/Rep_int_inverse'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_8' 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Library/transc/COS_POS_PI2_'#@#variant 'isa/tan_pos_pi2_le'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RZERO_'#@#variant 'isa/pow.simps_1'
0. 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_7' 'isa/Nat_Transfer.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LE_' 'isa/Suc_less_eq'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nibble.size_16'#@#variant
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_1_'#@#variant 'isa/le0'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_8'#@#variant 'isa/arctan_le_zero_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_LT_0_'#@#variant 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_AC_2' 'isa/gcd_ac_int_3'#@#variant
0. 'hl/thm/real/REAL_LT_ADD2_' 'isa/gcd_nat.mono'#@#variant
0. 'hl/thm/Library/pratt/PHI_1_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/int/INT_MAX_ACI_4' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_4'#@#variant
0. 'hl/thm/int/INT_LT_TRANS_' 'isa/dvd.order_trans'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/sin_coeff_0'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_POW_INV_'#@#variant 'isa/complex_cnj_power'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_NEG_' 'isa/complex_cnj_cnj'
0. 'hl/thm/int/INT_LT_MUL_'#@#variant 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_14'#@#variant
0. 'hl/thm/arith/DIV_LT_'#@#variant 'isa/Divides.div_less'#@#variant
0. 'hl/thm/Library/transc/SQRT_1_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CX_'#@#variant 'isa/norm_cis'#@#variant
0. 'hl/thm/realax/TREAL_MUL_WELLDEF_'#@#variant 'isa/add_le_mono'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_CX_'#@#variant 'isa/less_eq_int_code_2'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/one_natural_def'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/zero_natural_def'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_NEG_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_GT_0_'#@#variant 'isa/Re_complex_div_gt_0'#@#variant
0. 'hl/thm/Library/floor/FLOOR_FRAC_/1'#@#variant 'isa/cos_ge_minus_one'#@#variant
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/arith/LE_MULT2_' 'isa/add_le_mono'#@#variant
0. 'hl/thm/lists/MEM_MAP_' 'isa/image_iff'
0. 'hl/thm/Library/transc/SIN_COS_SQRT_'#@#variant 'isa/sin_cos_sqrt'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LT_' 'isa/rel_simps_11'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_NEG_' 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_MONO_LE_' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_INV_EQ_' 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_PI_LE_'#@#variant 'isa/cot_gt_zero'#@#variant
0. 'hl/thm/Library/rstc/TC_TRANS_L_' 'isa/rtranclp.intros_2'
0. 'hl/thm/Complex/complexnumbers/CX_INV_' 'isa/Code_Numeral.dup_code_3'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_LZERO_'#@#variant 'isa/minus_int_code_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/arcsin_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_LE_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_7'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_LE_0_'#@#variant 'isa/Im_complex_div_lt_0'#@#variant
0. 'hl/thm/arith/SUB_0_/1'#@#variant 'isa/pow.simps_1'
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/nat_mult_1_right'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GT_' 'isa/less_integer.abs_eq'#@#variant
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/gcd_nat.comm_neutral'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_CNJ_' 'isa/complex_mod_cnj'#@#variant
0. 'hl/thm/realax/TREAL_NEG_WELLDEF_'#@#variant 'isa/real_sqrt_le_mono'#@#variant
0. 'hl/thm/int/int_of_num_th_' 'isa/int_numeral'#@#variant
0. 'hl/thm/Library/transc/PI2_BOUNDS_0'#@#variant 'isa/less_eq_int_code_1'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/nat_of_num.simps_1'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GE_' 'isa/real_less_eq_code'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_EXP_' 'isa/add_le_mono1'#@#variant
0. 'hl/thm/nums/IND_SUC_0_' 'isa/Zero_neq_Suc'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_INJ_' 'isa/old.nat.inject'
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/calc_num/ARITH_92' 'isa/arctan_less_zero_iff'#@#variant
0. 'hl/thm/Library/floor/INTEGER_POW_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_4'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_0' 'isa/Nat_Transfer.transfer_int_nat_function_closures_9'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ROTATE2D_ZERO_'#@#variant 'isa/real_root_Suc_0'#@#variant
0. 'hl/thm/real/REAL_ABS_1_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/int/INT_ABS_ZERO_'#@#variant 'isa/csqrt_eq_1'#@#variant
0. 'hl/thm/Library/pocklington/PHI_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_NONZERO_'#@#variant 'isa/rel_simps_19'
0. 'hl/thm/Multivariate/transcendentals/ASN_NEG_1_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/Multivariate/metric/ISTOPOLOGY_OPEN_IN_' 'isa/is_filter_Rep_filter'
0. 'hl/thm/real/REAL_ABS_INV_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/Multivariate/misc/GE_REFL_' 'isa/dvd.order.refl'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_ABS_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/int/int_ge_' 'isa/zless_int'#@#variant
0. 'hl/thm/int/int_abs_th_' 'isa/int_Suc'#@#variant
0. 'hl/thm/Library/transc/COS_ATN_NZ_'#@#variant 'isa/cos_arctan_not_zero'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_LMUL_' 'isa/lcm_semilattice_nat.sup.coboundedI2'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/sin_coeff_0'#@#variant
0. 'hl/thm/real/REAL_INV_POW_' 'isa/real_sqrt_power'#@#variant
0. 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nat_of_nibble.simps_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/num_of_nat.simps_1'#@#variant
0. 'hl/thm/calc_num/ARITH_30' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/realax/TREAL_ADD_WELLDEF_'#@#variant 'isa/lcm_semilattice_nat.sup_mono'#@#variant
0. 'hl/thm/int/INT_SGN_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/arith_simps_1'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/choose_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MUL_' 'isa/nat_distrib_3'#@#variant
0. 'hl/thm/Complex/complexnumbers/ii_'#@#variant 'isa/Frct_code_post_3'#@#variant
0. 'hl/thm/int/INT_ABS_POW_' 'isa/real_sqrt_power'#@#variant
0. 'hl/thm/realax/TREAL_LE_LADD_IMP_'#@#variant 'isa/mult_le_mono2'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/int_1'#@#variant
0. 'hl/thm/realax/HREAL_ADD_ASSOC_' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LZERO_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.inf_bot_left'#@#variant
0. 'hl/thm/Multivariate/complexes/CX_INJ_'#@#variant 'isa/explode_inject'#@#variant
0. 'hl/thm/realax/HREAL_INV_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CNJ_CSIN_'#@#variant 'isa/real_sqrt_minus'#@#variant
0. 'hl/thm/real/REAL_NEG_RMUL_' 'isa/add_inc'#@#variant
0. 'hl/thm/Library/transc/LN_DIV_'#@#variant 'isa/ln_div'#@#variant
0. 'hl/thm/Library/transc/LN_MONO_LT_'#@#variant 'isa/ln_less_cancel_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant 'isa/rel_simps_18'
0. 'hl/thm/realax/HREAL_MUL_RZERO_'#@#variant 'isa/times_int_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_12'#@#variant
0. 'hl/thm/Library/transc/SIN_POS_'#@#variant 'isa/tan_gt_zero'#@#variant
0. 'hl/thm/arith/MULT_0_'#@#variant 'isa/times_int_code_1'#@#variant
0. 'hl/thm/Library/transc/MULT_DIV_2_'#@#variant 'isa/Suc_natural_minus_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LZERO_'#@#variant 'isa/min_0L'#@#variant
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/of_nat_of_natural'#@#variant
0. 'hl/thm/Library/transc/PI_POS_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_6'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_CNJ_'#@#variant 'isa/abs_integer.rep_eq'#@#variant
0. 'hl/thm/Library/transc/SIN_NPI_'#@#variant 'isa/cot_npi'#@#variant
0. 'hl/thm/calc_num/ARITH_37' 'isa/binomial_0_Suc'#@#variant
0. 'hl/thm/Complex/complexnumbers/CX_INJ_' 'isa/Rep_int_inject'#@#variant
0. 'hl/thm/calc_num/ARITH_20' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/calc_int/REAL_NEG_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/Complex/complex_transc/CSIN_NEG_' 'isa/inverse_sgn'#@#variant
0. 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant 'isa/diff_le_mono'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_'#@#variant 'isa/tan_pos_pi2_le'#@#variant
0. 'hl/thm/Library/pocklington/PHI_2_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/Library/transc/ATN_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_6' 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/Library/primitive/INT_PRIME_' 'isa/zero_less_int_conv'#@#variant
0. 'hl/thm/Library/floor/INTEGER_CLOSED_5' 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_RMUL_' 'isa/dvd_lcm_I1_nat'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_MUL_'#@#variant 'isa/max_Suc_Suc'#@#variant
0. 'hl/thm/calc_num/ARITH_16' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_LMUL_' 'isa/dvd_lcm_I2_int'#@#variant
0. 'hl/thm/calc_num/ARITH_93' 'isa/arctan_ubound'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/of_nat_of_natural'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_MUL2_' 'isa/add_less_mono'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_0_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MUL_' 'isa/nat_mult_max_left'#@#variant
0. 'hl/thm/Library/analysis/SUB_OLD_0'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_top_left'#@#variant
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/Library/rstc/TC_TRANS_R_' 'isa/transitive_closurep_trans\'_4'
0. 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/calc_num/ARITH_60' 'isa/arctan_less_zero_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_10' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_EQ_' 'isa/exp_less_cancel_iff'#@#variant
0. 'hl/thm/Library/transc/SIN_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LDISTRIB_' 'isa/gcd_mult_distrib_nat'#@#variant
0. 'hl/thm/calc_num/ARITH_23' 'isa/binomial_0_Suc'#@#variant
0. 'hl/thm/calc_num/ARITH_22' 'isa/binomial_0_Suc'#@#variant
0. 'hl/thm/int/INT_ADD_LID_'#@#variant 'isa/nat_mult_1'#@#variant
0. 'hl/thm/int/INT_POS_'#@#variant 'isa/less_int_code_2'#@#variant
0. 'hl/thm/real/REAL_MUL_AC_1' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/int/INT_SUB_LT_'#@#variant 'isa/zero_less_diff'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_LE_' 'isa/transfer_int_nat_relations_3'#@#variant
0. 'hl/thm/arith/TWO_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/Multivariate/complexes/COMPLEX_MUL_ASSOC_'#@#variant 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/calc_num/ARITH_57' 'isa/rel_simps_23'
0. 'hl/thm/int/INT_SGN_INEQS_5'#@#variant 'isa/arctan_le_zero_iff'#@#variant
0. 'hl/thm/Complex/cpoly/POLY_DIVIDES_TRANS_'#@#variant 'isa/dvd.order.trans'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/Suc_1'#@#variant
0. 'hl/thm/arith/MULT_CLAUSES_3'#@#variant 'isa/arith_simps_10'#@#variant
0. 'hl/thm/calc_num/ARITH_54' 'isa/rel_simps_23'
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_27'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_1_'#@#variant 'isa/arctan_zero_zero'#@#variant
0. 'hl/thm/Library/transc/TAN_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/cis_zero'#@#variant
0. 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant 'isa/zero_le_arctan_iff'#@#variant
0. 'hl/thm/Library/analysis/SUB_OLD_0'#@#variant 'isa/times_integer_code_2'#@#variant
0. 'hl/thm/Library/poly/POLY_DIFF_AUX_ADD_LEMMA_'#@#variant 'isa/real_root_mult'#@#variant
0. 'hl/thm/nums/num_CASES_'#@#variant 'isa/natural.exhaust'#@#variant
0. 'hl/thm/calc_num/ARITH_83' 'isa/arctan_ubound'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_9'#@#variant
0. 'hl/thm/realax/NADD_LE_TRANS_' 'isa/le_trans'#@#variant
0. 'hl/thm/calc_int/REAL_MUL_RZERO_'#@#variant 'isa/gcd_1_int'#@#variant
0. 'hl/thm/calc_num/ARITH_82' 'isa/arctan_ubound'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_RDISTRIB_' 'isa/int_distrib_3'#@#variant
0. 'hl/thm/int/int_ge_' 'isa/less_natural.abs_eq'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GE_' 'isa/less_eq_int_code_5'#@#variant
0. 'hl/thm/int/INT_OF_NUM_SUB_' 'isa/real_of_int_div'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_1_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ASN_1_'#@#variant 'isa/inc.simps_1'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_SUB_' 'isa/real_of_nat_div'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_EQ_SUB_RADD_' 'isa/eq_diff_eq\''#@#variant
0. 'hl/thm/iterate/MONOIDAL_REAL_MUL_' 'isa/gcd_semilattice_nat.Inf_fin.semilattice_set_axioms'#@#variant
0. 'hl/thm/int/INT_EQ_NEG2_' 'isa/num.simps_2'
0. 'hl/thm/Library/prime/INDEX_0_'#@#variant 'isa/gcd_Suc_0'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_1'#@#variant 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/arg_zero'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_EQ_0_'#@#variant 'isa/csqrt_eq_0'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/sgn_integer.rep_eq'#@#variant
0. 'hl/thm/calc_num/ARITH_48' 'isa/rel_simps_23'
0. 'hl/thm/int/INT_NEG_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_AC_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_7'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_COMPLEX_DIV_LE_0_'#@#variant 'isa/Re_complex_div_le_0'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_EQ_0_'#@#variant 'isa/real_sqrt_eq_1_iff'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/zero_complex.sel_2'#@#variant
0. 'hl/thm/arith/EXP_MONO_EQ_'#@#variant 'isa/mult_cancel2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_11'#@#variant
0. 'hl/thm/real/REAL_ABS_POS_'#@#variant 'isa/exp_gt_zero'#@#variant
0. 'hl/thm/Library/transc/REAL_EXP_NZ_'#@#variant 'isa/num.simps_6'
0. 'hl/thm/realax/HREAL_INV_0_'#@#variant 'isa/sqr.simps_1'
0. 'hl/thm/Complex/complexnumbers/CNJ_INJ_' 'isa/rel_simps_20'
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/nibble.size_8'#@#variant
0. 'hl/thm/calc_num/ARITH_0'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/arith/LEFT_SUB_DISTRIB_' 'isa/int_distrib_2'#@#variant
0. 'hl/thm/real/REAL_LT_POW2_'#@#variant 'isa/zero_zle_int'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_10'#@#variant
0. 'hl/thm/Library/floor/FLOOR_NUM_' 'isa/complex_cnj_numeral'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ABS_PI_' 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Multivariate/complexes/ii_'#@#variant 'isa/one_rat_def'#@#variant
0. 'hl/thm/Library/analysis/REAL_DIV_LZERO_'#@#variant 'isa/lcm_0_left_int'#@#variant
0. 'hl/thm/realarith/REAL_SUB_LT_'#@#variant 'isa/zero_less_diff'#@#variant
0. 'hl/thm/lists/MAP_EQ_NIL_' 'isa/option.map_disc_iff'
0. 'hl/thm/Library/transc/ATN_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_1'#@#variant 'isa/nat_int'#@#variant
0. 'hl/thm/real/REAL_LT_01_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_5'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/arith/LE_REFL_' 'isa/dvd.order.refl'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_1_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Library/transc/SIN_BOUNDS_/0'#@#variant 'isa/exp_gt_zero'#@#variant
0. 'hl/thm/realax/HREAL_ADD_LDISTRIB_' 'isa/nat_distrib_4'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_SUB_RDISTRIB_' 'isa/int_distrib_3'#@#variant
0. 'hl/thm/Library/prime/INDEX_0_'#@#variant 'isa/gcd_1_nat'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_1_'#@#variant 'isa/zero_integer_def'#@#variant
0. 'hl/thm/Library/poly/MONOIDAL_POLY_ADD_'#@#variant 'isa/lcm_semilattice_nat.Sup_fin.semilattice_set_axioms'#@#variant
0. 'hl/thm/arith/DIV_1_'#@#variant 'isa/max_0R'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/nibble.size_16'#@#variant
0. 'hl/thm/real/REAL_OF_NUM_GE_' 'isa/transfer_int_nat_relations_2'#@#variant
0. 'hl/thm/arith/DIV_1_'#@#variant 'isa/pow.simps_1'
0. 'hl/thm/arith/LE_ADD_' 'isa/gcd_lcm_lattice_nat.inf_sup_ord_3'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_8'#@#variant 'isa/real_sqrt_lt_0_iff'#@#variant
0. 'hl/thm/real/REAL_INV_EQ_1_'#@#variant 'isa/csqrt_eq_1'#@#variant
0. 'hl/thm/real/REAL_MAX_MAX_/1' 'isa/lcm_dvd2_nat'#@#variant
0. 'hl/thm/Library/transc/COS_PI_'#@#variant 'isa/sin_pi_half'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_BOUNDS_/1'#@#variant 'isa/arctan_ubound'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_AC_1' 'isa/gcd_ac_int_1'#@#variant
0. 'hl/thm/Library/analysis/LESS_MONO_ADD_' 'isa/add_le_mono1'#@#variant
0. 'hl/thm/lists/ALL2_DEF_0' 'isa/rel_option_None1'
0. 'hl/thm/Multivariate/vectors/SQRT_INJ_' 'isa/natural.simps_1'
0. 'hl/thm/int/INT_SGN_INEQS_0'#@#variant 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_TAN_'#@#variant 'isa/abs_integer.abs_eq'#@#variant
0. 'hl/thm/Library/transc/COS_2_'#@#variant 'isa/exp_half_le2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ARG_/0'#@#variant 'isa/Nat_Rep_Nat'
0. 'hl/thm/lists/MAP_0' 'isa/option.map_1'
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/one_integer_code'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PERIODIC_PI_' 'isa/cos_periodic_pi'#@#variant
0. 'hl/thm/int/INT_MIN_ACI_2' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_7'#@#variant
0. 'hl/thm/Library/floor/INTEGER_SUB_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/Multivariate/transcendentals/TAN_PERIODIC_PI_' 'isa/cot_periodic'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_0_'#@#variant 'isa/csqrt_0'#@#variant
0. 'hl/thm/Library/floor/REAL_OF_INT_OF_REAL_' 'isa/transfer_nat_int_list_return_embed'#@#variant
0. 'hl/thm/real/REAL_LT_LMUL_EQ_'#@#variant 'isa/nat_mult_less_cancel1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/cot_pi'#@#variant
0. 'hl/thm/Library/analysis/LESS_EQUAL_ANTISYM_' 'isa/dvd.order.antisym'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LT_' 'isa/real_sqrt_le_mono'#@#variant
0. 'hl/thm/Library/transc/ATN_POS_LT_'#@#variant 'isa/zero_le_sgn_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_0'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_57' 'isa/real_sqrt_eq_iff'
0. 'hl/thm/Multivariate/complexes/CNJ_INV_'#@#variant 'isa/complex_cnj_minus'#@#variant
0. 'hl/thm/Library/transc/ATN_POS_LE_'#@#variant 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/calc_num/ARITH_54' 'isa/real_sqrt_eq_iff'
0. 'hl/thm/realax/REAL_MUL_LID_'#@#variant 'isa/lcm_nat.left_neutral'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_MUL_' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/arith/ADD_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_25'#@#variant
0. 'hl/thm/Library/pocklington/PHI_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Library/integer/INT_PRIME_ABS_' 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/real/REAL_MIN_ACI_1' 'isa/lcm_ac_int_1'#@#variant
0. 'hl/thm/nums/ZERO_DEF_' 'isa/nibble.size_30'#@#variant
0. 'hl/thm/real/REAL_ADD_RDISTRIB_' 'isa/nat_distrib_1'#@#variant
0. 'hl/thm/int/INT_LT_SUB_RADD_' 'isa/le_diff_conv'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_7'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_EQ_' 'isa/Rep_int_inject'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/Divides.transfer_nat_int_function_closures_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_0_'#@#variant 'isa/arcsin_0'#@#variant
0. 'hl/thm/int/int_ge_' 'isa/zle_int'#@#variant
0. 'hl/thm/real/REAL_SGN_0_'#@#variant 'isa/fact_Suc_0'#@#variant
0. 'hl/thm/Library/transc/SQRT_1_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/calc_num/ARITH_48' 'isa/real_sqrt_eq_iff'
0. 'hl/thm/int/INT_ADD_RID_'#@#variant 'isa/Nat.add_0_right'#@#variant
0. 'hl/thm/Multivariate/transcendentals/TAN_PI_'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/real/REAL_MAX_LE_' 'isa/lcm_semilattice_nat.le_sup_iff'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/Nat_Transfer.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Library/floor/FLOOR_MONO_' 'isa/fact_mono_nat'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ENTIRE_'#@#variant 'isa/lcm_0_iff_int'#@#variant
0. 'hl/thm/Library/transc/COS_PI2_'#@#variant 'isa/arccos_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_SUB_' 'isa/diff_add_inverse'#@#variant
0. 'hl/thm/Library/prime/EXP_0_'#@#variant 'isa/binomial_0_Suc'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/zero_real_code'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_NZ_'#@#variant 'isa/natural.simps_2'#@#variant
0. 'hl/thm/realax/REAL_OF_NUM_LE_' 'isa/transfer_int_nat_relations_3'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_ABS_' 'isa/arctan_minus'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_EXP_' 'isa/add_less_mono1'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_RMUL_' 'isa/trans_le_add1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RE_CASN_BOUND_'#@#variant 'isa/negative_zless_0'#@#variant
0. 'hl/thm/Library/calc_real/REAL_MONO_POW2_'#@#variant 'isa/nat_mono'#@#variant
0. 'hl/thm/arith/FACT_LE_'#@#variant 'isa/exp_gt_zero'#@#variant
0. 'hl/thm/realax/HREAL_ADD_AC_2' 'isa/lcm_ac_nat_3'#@#variant
0. 'hl/thm/Library/floor/FLOOR_/0' 'isa/exp_ge_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LT_' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/Multivariate/vectors/LIFT_DROP_0'#@#variant 'isa/int_of_integer_integer_of_int'
0. 'hl/thm/Multivariate/transcendentals/SIN_BOUND_'#@#variant 'isa/abs_cos_le_one'#@#variant
0. 'hl/thm/calc_num/ARITH_6' 'isa/arctan_minus'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/cos_pi_half'#@#variant
0. 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant 'isa/nat.simps_1'
0. 'hl/thm/Multivariate/complexes/RE_CX_'#@#variant 'isa/int_of_integer_integer_of_int'
0. 'hl/thm/calc_num/ARITH_2' 'isa/arctan_minus'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_MUL_' 'isa/complex_cnj_diff'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LT_' 'isa/exp_less_mono'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_MONO_LE_EQ_' 'isa/arctan_less_iff'#@#variant
0. 'hl/thm/realax/HREAL_OF_NUM_LE_' 'isa/real_less_eq_code'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_ADD_' 'isa/transfer_nat_int_gcd_closures_1'#@#variant
0. 'hl/thm/real/REAL_MAX_ACI_4' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_4'#@#variant
0. 'hl/thm/real/REAL_SUB_RDISTRIB_' 'isa/nat_distrib_1'#@#variant
0. 'hl/thm/Library/transc/ATN_0_'#@#variant 'isa/uminus_integer_code_1'#@#variant
0. 'hl/thm/Library/floor/INTEGER_POW_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_4'#@#variant
0. 'hl/thm/arith/SUB_0'#@#variant 'isa/minus_integer_code_1'#@#variant
0. 'hl/thm/arith/MULT_ASSOC_' 'isa/gcd_ac_nat_1'#@#variant
0. 'hl/thm/int/int_neg_th_' 'isa/int_Suc'#@#variant
0. 'hl/thm/realarith/REAL_SUB_LE_'#@#variant 'isa/zero_less_binomial_iff'#@#variant
0. 'hl/thm/arith/LT_ADD_LCANCEL_' 'isa/nat_add_left_cancel_le'#@#variant
0. 'hl/thm/Complex/complexnumbers/CNJ_MUL_' 'isa/min_Suc_Suc'#@#variant
0. 'hl/thm/real/REAL_POW_INV_' 'isa/real_sqrt_power'#@#variant
0. 'hl/thm/realax/REAL_MUL_LID_'#@#variant 'isa/arith_simps_11'#@#variant
0. 'hl/thm/int/INT_LE_ADD_'#@#variant 'isa/Divides.transfer_int_nat_function_closures_2'#@#variant
0. 'hl/thm/Multivariate/vectors/DROP_EQ_'#@#variant 'isa/nat_of_char_eq_iff'
0. 'hl/thm/Library/transc/COS_0_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_ADD_' 'isa/complex_cnj_add'#@#variant
0. 'hl/thm/realax/REAL_MUL_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_BOUND_'#@#variant 'isa/abs_sin_le_one'#@#variant
0. 'hl/thm/calc_int/REAL_ADD_RID_'#@#variant 'isa/choose_one'#@#variant
0. 'hl/thm/wf/WF_num_' 'isa/int_equivp'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/arith/EXP_ONE_'#@#variant 'isa/diff_0_eq_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_POS_LT_'#@#variant 'isa/real_sqrt_ge_1_iff'#@#variant
0. 'hl/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant 'isa/mult_le_mono1'#@#variant
0. 'hl/thm/real/REAL_MAX_ASSOC_' 'isa/lcm_ac_nat_1'#@#variant
0. 'hl/thm/realarith/REAL_LT_ADD_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_3'#@#variant
0. 'hl/thm/arith/DIV_1_'#@#variant 'isa/gcd_0_nat'#@#variant
0. 'hl/thm/nums/IND_SUC_INJ_' 'isa/Suc_Rep_inject\''
0. 'hl/thm/real/REAL_SGN_INEQS_8'#@#variant 'isa/real_sqrt_le_1_iff'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/Rat.positive_add'#@#variant
0. 'hl/thm/lists/ALL_1' 'isa/listsp_simps_2'
0. 'hl/thm/Library/floor/RATIONAL_ABS_' 'isa/real_sqrt_ge_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI2_BOUNDS_0'#@#variant 'isa/pi_gt_zero'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_COMPLEX_DIV_GT_0_'#@#variant 'isa/complex_div_gt_0/1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_ROOT_INV_' 'isa/complex_cnj_scaleR'#@#variant
0. 'hl/thm/Library/transc/SQRT_0_'#@#variant 'isa/complex_cnj_one'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_0_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/one_complex.sel_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_ADD_' 'isa/real_sqrt_mult'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/one_integer_code'#@#variant
0. 'hl/thm/int/INT_LT_ADD_'#@#variant 'isa/transfer_nat_int_gcd_closures_2'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_INV_MUL_' 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/real/REAL_ABS_0_'#@#variant 'isa/real_sqrt_one'#@#variant
0. 'hl/thm/Library/floor/FLOOR_POS_LE_'#@#variant 'isa/zero_less_arctan_iff'#@#variant
0. 'hl/thm/Library/transc/SIN_COS_'#@#variant 'isa/tan_cot\''#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NEG_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/cos_coeff_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/RPOW_MONO_LE_'#@#variant 'isa/zmult_zless_mono2'#@#variant
0. 'hl/thm/real/REAL_LT_INV_EQ_'#@#variant 'isa/real_sqrt_ge_0_iff'#@#variant
0. 'hl/thm/Library/multiplicative/MOBIUS_0_'#@#variant 'isa/numerals_1'#@#variant
0. 'hl/thm/real/REAL_ABS_1_'#@#variant 'isa/Code_Numeral.dup_code_1'#@#variant
0. 'hl/thm/int/INT_OF_NUM_GT_' 'isa/less_integer_code_5'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/nibble.size_23'#@#variant
0. 'hl/thm/int/INT_NEG_0_'#@#variant 'isa/BitM.simps_1'
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_POS_LT_'#@#variant 'isa/sin_ge_minus_one'#@#variant
0. 'hl/thm/Multivariate/complexes/RE_II_'#@#variant 'isa/num.size_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_NORM_0_'#@#variant 'isa/arg_zero'#@#variant
0. 'hl/thm/Complex/complex_transc/CEXP_0_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/Complex/complex_transc/CX_CSIN_' 'isa/cnj.sel_2'#@#variant
0. 'hl/thm/realax/HREAL_ADD_RDISTRIB_' 'isa/min_diff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_PI2_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/Library/prime/DIVIDES_RMUL2_' 'isa/add_leD1'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_POS_LE_'#@#variant 'isa/real_sqrt_gt_0_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_MONO_LE_' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/Rat.positive_mult'#@#variant
0. 'hl/thm/int/INT_LE_MUL_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_bot_left'#@#variant
0. 'hl/thm/int/INT_LT_LMUL_EQ_'#@#variant 'isa/nat_mult_dvd_cancel1'#@#variant
0. 'hl/thm/realax/TREAL_EQ_TRANS_'#@#variant 'isa/dvd.order.trans'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/cis_zero'#@#variant
0. 'hl/thm/Multivariate/complexes/REAL_DIV_'#@#variant 'isa/Divides.transfer_nat_int_function_closures_1'#@#variant
0. 'hl/thm/Library/integer/INT_DIVIDES_SUB_' 'isa/gcd_greatest_int'#@#variant
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/real_inverse_code'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ROTATE2D_2PI_'#@#variant 'isa/real_root_Suc_0'#@#variant
0. 'hl/thm/arith/ADD_EQ_0_'#@#variant 'isa/gcd_lcm_complete_lattice_nat.sup_eq_bot_iff'#@#variant
0. 'hl/thm/real/REAL_SGN_INEQS_8'#@#variant 'isa/real_sqrt_lt_1_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_POS_PI_LE_'#@#variant 'isa/sin_gt_zero2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/LOG_MONO_LT_IMP_'#@#variant 'isa/fact_less_mono_nat'#@#variant
0. 'hl/thm/real/REAL_LE_LCANCEL_IMP_'#@#variant 'isa/dvd_mult_cancel'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ATN_MONO_LT_' 'isa/real_sqrt_le_mono'#@#variant
0. 'hl/thm/int/INT_LE_01_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_7'#@#variant
0. 'hl/thm/Library/integer/INT_PRIME_2_'#@#variant 'isa/Nat_Transfer.transfer_nat_int_function_closures_7'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_ADD_ASSOC_' 'isa/gcd_lcm_lattice_nat.inf_sup_aci_6'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LT_EQ_' 'isa/real_sqrt_le_iff'#@#variant
0. 'hl/thm/arith/RIGHT_SUB_DISTRIB_' 'isa/int_distrib_1'#@#variant
0. 'hl/thm/Library/prime/CANCEL_TIMES2_'#@#variant 'isa/rel_simps_23'
0. 'hl/thm/Multivariate/vectors/REAL_LT_RSQRT_'#@#variant 'isa/real_le_rsqrt'#@#variant
0. 'hl/thm/int/int_of_num_th_' 'isa/complex_Re_of_nat'#@#variant
0. 'hl/thm/calc_num/ARITH_104' 'isa/arith_simps_5'#@#variant
0. 'hl/thm/Multivariate/transcendentals/ACS_NEG_1_'#@#variant 'isa/sin_pi'#@#variant
0. 'hl/thm/arith/EXP_1_'#@#variant 'isa/Nat.add_0_right'#@#variant
0. 'hl/thm/real/REAL_LT_DIV_'#@#variant 'isa/Nat_Transfer.transfer_int_nat_function_closures_3'
0. 'hl/thm/Multivariate/transcendentals/RPOW_INV_' 'isa/plus_nat.simps_2'#@#variant
0. 'hl/thm/Library/poly/POLY_DIVIDES_REFL_'#@#variant 'isa/dvd.order.refl'#@#variant
0. 'hl/thm/Library/floor/INT_OF_REAL_OF_INT_' 'isa/nibble_of_nat_of_nibble'
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/cos_two_pi'#@#variant
0. 'hl/thm/arith/FACT_0'#@#variant 'isa/arccos_0'#@#variant
0. 'hl/thm/Multivariate/complexes/CNJ_MUL_'#@#variant 'isa/complex_cnj_divide'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_0_'#@#variant 'isa/real_sqrt_four'#@#variant
0. 'hl/thm/int/INT_ABS_0_'#@#variant 'isa/uminus_int_code_1'#@#variant
0. 'hl/thm/calc_num/ARITH_7' 'isa/arcsin_0'#@#variant
0. 'hl/thm/Multivariate/transcendentals/REAL_EXP_0_'#@#variant 'isa/arccos_minus_1'#@#variant
0. 'hl/thm/iterate/MONOIDAL_MUL_' 'isa/lcm_nat.semilattice_axioms'#@#variant
0. 'hl/thm/arith/LE_SUC_' 'isa/arctan_le_iff'#@#variant
0. 'hl/thm/Multivariate/transcendentals/SIN_PI2_'#@#variant 'isa/sin_two_pi'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_POW_II_2_'#@#variant 'isa/power2_i'#@#variant
0. 'hl/thm/Multivariate/complexes/IM_II_'#@#variant 'isa/nibble.size_19'#@#variant
0. 'hl/thm/Library/transc/ASN_SIN_'#@#variant 'isa/sin_arcsin'#@#variant
0. 'hl/thm/Complex/complexnumbers/COMPLEX_MUL_LID_'#@#variant 'isa/gcd_nat.left_neutral'#@#variant
0. 'hl/thm/calc_num/ARITH_1' 'isa/arcsin_0'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_DIV_' 'isa/Real.positive_add'#@#variant
0. 'hl/thm/int/INT_MUL_LID_'#@#variant 'isa/plus_integer_code_2'#@#variant
0. 'hl/thm/Library/rstc/STC_TRANS_R_' 'isa/transitive_closurep_trans\'_4'
0. 'hl/thm/Multivariate/transcendentals/CX_ATN_'#@#variant 'isa/Int.dup_code_2'
0. 'hl/thm/Complex/complexnumbers/CX_INJ_' 'isa/nat_of_natural_inject'
0. 'hl/thm/int/NUM_OF_INT_OF_NUM_' 'isa/natural_of_nat_of_natural_inverse'
0. 'hl/thm/Library/transc/SIN_PI2_'#@#variant 'isa/arcsin_minus_1'#@#variant
0. 'hl/thm/Library/floor/RATIONAL_SUB_' 'isa/Nat_Transfer.transfer_int_nat_function_closures_1'#@#variant
0. 'hl/thm/calc_num/ARITH_0'#@#variant 'isa/csqrt_1'#@#variant
0. 'hl/thm/Multivariate/vectors/SQRT_INJ_' 'isa/old.nat.inject'
0. 'hl/thm/arith/MULT_0_'#@#variant 'isa/lcm_0_int'#@#variant
0. 'hl/thm/int/INT_SUB_REFL_'#@#variant 'isa/diff_self_eq_0'#@#variant
0. 'hl/thm/Library/transc/ATN_MONO_LT_EQ_' 'isa/real_sqrt_less_iff'#@#variant
0. 'hl/thm/Library/transc/ATN_/1'#@#variant 'isa/sin_le_one'#@#variant
0. 'hl/thm/lists/REVERSE_0' 'isa/list.sel_2'
0. 'hl/thm/int/INT_MUL_RZERO_'#@#variant 'isa/lcm_0_int'#@#variant
0. 'hl/thm/real/REAL_NEG_LMUL_' 'isa/plus_nat.simps_2'#@#variant
0. 'hl/thm/Multivariate/transcendentals/PI_POS_LE_'#@#variant 'isa/Nat.intros_1'
0. 'hl/thm/Library/floor/RATIONAL_ABS_' 'isa/real_sqrt_ge_zero'#@#variant
0. 'hl/thm/Multivariate/transcendentals/COS_POS_PI2_'#@#variant 'isa/cot_gt_zero'#@#variant
0. 'hl/thm/calc_num/ARITH_0'#@#variant 'isa/Int.dup_code_1'#@#variant
0. 'hl/thm/Complex/complexnumbers/complex_tybij_1'#@#variant 'isa/int_of_integer_integer_of_int'
0. 'hl/thm/iterate/MONOIDAL_MUL_' 'isa/gcd_nat.semilattice_axioms'#@#variant
0. 'hl/thm/int/INT_SGN_INEQS_9'#@#variant 'isa/real_sqrt_eq_0_iff'#@#variant
0. 'hl/thm/Multivariate/misc/SQRT_0_'#@#variant 'isa/complex_cnj_zero'#@#variant
0. 'hl/thm/realarith/REAL_MUL_RID_'#@#variant 'isa/pow.simps_1'
