8.69962222175 'h4/thm/logroot/LOG_EXP_'#@#variant 'mat/log_exp'#@#variant
7.87918570966 'h4/thm/divides/LEQ_DIVIDES_FACT_' 'mat/divides_fact'
7.01655644585 'h4/thm/arithmetic/DIV_DIV_DIV_MULT_' 'mat/eq_div_div_div_times'
7.01655644585 'h4/thm/divides/DIVIDES_LE_' 'mat/divides_to_le'
7.01655644585 'h4/thm/arithmetic/DIV_MULT_' 'mat/div_plus_times'
7.01655644585 'h4/thm/divides/LEQ_DIVIDES_FACT_'#@#variant 'mat/divides_fact'#@#variant
7.01655644585 'h4/thm/arithmetic/DIV_LESS_'#@#variant 'mat/lt_div'#@#variant
7.01655644585 'h4/thm/arithmetic/MOD_MULT_' 'mat/mod_plus_times'
7.01655644585 'h4/thm/gcd/PRIME_GCD_'#@#variant 'mat/prime_to_gcd_SO'#@#variant
7.01655644585 'h4/thm/arithmetic/MULT_DIV_' 'mat/lt_O_to_div_times'
6.09617022101 'h4/thm/gcd/P_EUCLIDES_' 'mat/divides_times_to_divides'
6.09617022101 'h4/thm/arithmetic/MULT_DIV_'#@#variant 'mat/lt_O_to_div_times'#@#variant
6.09617022101 'h4/thm/real/REAL_INV_MUL_'#@#variant 'mat/Qinv_Qtimes'
6.09617022101 'h4/thm/divides/DIVIDES_LE_'#@#variant 'mat/divides_to_le'#@#variant
6.09617022101 'h4/thm/divides/PRIME_POS_' 'mat/prime_to_lt_O'
6.09617022101 'h4/thm/arithmetic/X_LT_EXP_X_'#@#variant 'mat/lt_m_exp_nm'#@#variant
6.09617022101 'h4/thm/arithmetic/DIV_DIV_DIV_MULT_'#@#variant 'mat/eq_div_div_div_times'#@#variant
6.09617022101 'h4/thm/arithmetic/MOD_ONE_' 'mat/mod_SO'
6.09617022101 'h4/thm/arithmetic/MOD_LESS_' 'mat/lt_mod_m_m'
6.09617022101 'h4/thm/arithmetic/MOD_MOD_' 'mat/mod_mod'
6.09617022101 'h4/thm/arithmetic/MOD_LESS_'#@#variant 'mat/lt_mod_m_m'#@#variant
6.09617022101 'h4/thm/divides/INFINITE_PRIMES_' 'mat/lt_nth_prime_n_nth_prime_Sn'
6.09617022101 'h4/thm/arithmetic/LESS_EQ_ADD_SUB_' 'mat/eq_minus_plus_plus_minus'
5.56048942543 'h4/thm/arithmetic/MOD_TIMES2_' 'mat/mod_times'
5.56048942543 'h4/thm/logroot/LOG_1_'#@#variant 'mat/log_SO'#@#variant
5.56048942543 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_' 'mat/le_exp'
5.09007087279 'h4/thm/arithmetic/LESS_MONO_ADD_INV_' 'mat/lt_plus_to_lt_l'
5.09007087279 'h4/thm/arithmetic/MOD_MOD_'#@#variant 'mat/mod_mod'#@#variant
5.09007087279 'h4/thm/arithmetic/EVEN_OR_ODD_' 'mat/not_not_bertrand_to_bertrand'
5.09007087279 'h4/thm/prim_rec/SUC_LESS_' 'mat/lt_S_to_lt'
5.09007087279 'h4/thm/prim_rec/LESS_SUC_' 'mat/ltW'
5.09007087279 'h4/thm/seq/SEQ_SUBLE_' 'mat/le_n_fn'
4.83110059916 'h4/thm/arithmetic/NOT_SUC_LESS_EQ_0_' 'mat/not_le_Sn_O'
4.83110059916 'h4/thm/arithmetic/FACT_e1' 'mat/factS'
4.83110059916 'h4/thm/arithmetic/MOD_TIMES2_'#@#variant 'mat/mod_times'#@#variant
4.7895448939 'h4/thm/arithmetic/DIV_LESS_EQ_' 'mat/le_div'
4.1612835555 'h4/thm/arithmetic/ADD1_'#@#variant 'mat/plus_n_SO'#@#variant
4.1612835555 'h4/thm/arithmetic/LESS_SUB_ADD_LESS_' 'mat/lt_minus_to_plus'
4.1612835555 'h4/thm/arithmetic/EXP_ADD_' 'mat/exp_plus_times'
4.1612835555 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_' 'mat/eq_div_O'
4.1612835555 'h4/thm/arithmetic/DIV_LESS_EQ_'#@#variant 'mat/le_div'#@#variant
4.1612835555 'h4/thm/arithmetic/DIV_ONE_' 'mat/div_SO'
4.1612835555 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_' 'mat/lt_to_div_O'
4.1612835555 'h4/thm/logroot/LOG_BASE_'#@#variant 'mat/log_n_n'#@#variant
4.03378572969 'h4/thm/arithmetic/LESS_SUC_NOT_' 'mat/lt_n_m_to_not_lt_m_Sn'
4.03378572969 'h4/thm/arithmetic/LESS_LESS_SUC_' 'mat/lt_n_m_to_not_lt_m_Sn'
3.93959285483 'h4/thm/prim_rec/SUC_ID_' 'mat/not_eq_n_Sn'
3.73784965763 'h4/thm/arithmetic/SUB_ADD_' 'mat/plus_minus_m_m'
3.47451390814 'h4/thm/arithmetic/LESS_MONO_REV_' 'mat/ltS\''
3.47451390814 'h4/thm/divides/ALL_DIVIDES_0_' 'mat/divides_n_O'
3.47451390814 'h4/thm/arithmetic/LESS_MONO_REV_' 'mat/lt_S_S_to_lt'
3.22073373277 'h4/thm/arithmetic/MULT_CLAUSES_e5' 'mat/times_n_Sm'
3.22073373277 'h4/thm/arithmetic/EXP_e1' 'mat/exp_S'
3.22073373277 'h4/thm/arithmetic/MULT_SUC_' 'mat/times_n_Sm'
3.12205347151 'h4/thm/integer/INT_SUB_REDUCE_1' 'mat/Zpred_Zplus_neg_O'
3.12205347151 'h4/thm/integer/INT_SUB_LZERO_' 'mat/Zpred_Zplus_neg_O'
3.12205347151 'h4/thm/HolSmt/r128_' 'mat/Zpred_Zplus_neg_O'
3.12096266663 'h4/thm/arithmetic/LESS_MOD_' 'mat/le_to_mod'
3.12096266663 'h4/thm/arithmetic/LESS_MOD_' 'mat/lt_to_eq_mod'
2.87372693634 'h4/thm/arithmetic/LESS_IMP_LESS_OR_EQ_' 'mat/lt_to_le'
2.87372693634 'h4/thm/arithmetic/LESS_LESS_EQ_TRANS_' 'mat/lt_to_le_to_lt'
2.87372693634 'h4/thm/arithmetic/ADD_SUB_' 'mat/minus_plus_m_m'
2.87372693634 'h4/thm/arithmetic/LESS_EQ_LESS_TRANS_' 'mat/le_to_lt_to_lt'
2.87372693634 'h4/thm/arithmetic/TIMES2_'#@#variant 'mat/times_SSO_n'#@#variant
2.79300251124 'h4/thm/toto/TO_qk_numOrd_' 'mat/symmetricb_eqb'
2.79300251124 'h4/thm/toto/TO_charOrd_' 'mat/symmetricb_same_atom'
2.68919048646 'h4/thm/divides/DIVIDES_SUB_' 'mat/divides_minus'
2.68919048646 'h4/thm/arithmetic/SUB_MONO_EQ_' 'mat/minus_S_S'
2.68919048646 'h4/thm/divides/DIVIDES_ADD_1_' 'mat/divides_plus'
2.54503543639 'h4/thm/arithmetic/LESS_EQ_ADD_' 'mat/le_plus_n_r'
2.42858100144 'h4/thm/divides/PRIME_POS_'#@#variant 'mat/prime_to_lt_O'#@#variant
2.42858100144 'h4/thm/divides/ONE_LT_PRIME_'#@#variant 'mat/prime_to_lt_SO'#@#variant
2.41555029958 'h4/thm/bit/SUC_SUB_'#@#variant 'mat/minus_Sn_n'#@#variant
2.41555029958 'h4/thm/num/INV_SUC_' 'mat/inj_S'
2.41555029958 'h4/thm/num/INV_SUC_' 'mat/not_eq_S'
2.33205114271 'h4/thm/arithmetic/SUB_LESS_EQ_' 'mat/le_minus_m'
2.25039214713 'h4/thm/arithmetic/LESS_EQ_ANTISYM_' 'mat/lt_to_not_le'
2.25039214713 'h4/thm/arithmetic/SUB_EQUAL_0_' 'mat/minus_n_n'
2.25039214713 'h4/thm/arithmetic/EXP_EXP_MULT_' 'mat/exp_exp_times'
2.25039214713 'h4/thm/logroot/EXP_MUL_' 'mat/exp_exp_times'
2.25039214713 'h4/thm/integral/LE_0_' 'mat/le_O_n'
2.25039214713 'h4/thm/arithmetic/LESS_CASES_' 'mat/not_lt_to_le'
2.25039214713 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant 'mat/divides_SO_n'#@#variant
2.25039214713 'h4/thm/arithmetic/SUB_RIGHT_SUB_' 'mat/eq_minus_minus_minus_plus'
2.25039214713 'h4/thm/arithmetic/ZERO_LESS_EQ_' 'mat/le_O_n'
2.25039214713 'h4/thm/arithmetic/SUB_PLUS_' 'mat/eq_minus_minus_minus_plus'
2.18016562189 'h4/thm/arithmetic/SUC_NOT_' 'mat/not_eq_O_S'
2.18016562189 'h4/thm/num/NOT_SUC_' 'mat/not_eq_O_S'
2.11894389269 'h4/thm/arithmetic/ADD_SUC_' 'mat/plus_n_Sm'
2.11894389269 'h4/thm/arithmetic/ADD_CLAUSES_e3' 'mat/plus_n_Sm'
2.11894389269 'h4/thm/numpair/invtri_le_' 'mat/le_prim_n'
2.11894389269 'h4/thm/numpair/nsnd_le_' 'mat/le_smallest_factor_n'
2.11894389269 'h4/thm/numpair/nfst_le_' 'mat/le_sqrt_n_n'
2.08136898101 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_' 'mat/le_to_le_to_eq'
2.08136898101 'h4/thm/arithmetic/LESS_EQUAL_ANTISYM_' 'mat/antisym_le'
2.05559517358 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant 'mat/exp_n_O0'#@#variant
2.05559517358 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant 'mat/le_exp'#@#variant
2.05559517358 'h4/thm/numeral/numeral_distrib_11'#@#variant 'mat/exp_n_O0'#@#variant
2.05559517358 'h4/thm/arithmetic/MOD_1_'#@#variant 'mat/mod_SO'#@#variant
2.05559517358 'h4/thm/arithmetic/EXP_0'#@#variant 'mat/exp_n_O0'#@#variant
2.05559517358 'h4/thm/arithmetic/MOD_ONE_'#@#variant 'mat/mod_SO'#@#variant
1.93244023966 'h4/thm/divides/ZERO_LT_PRIMES_' 'mat/lt_O_nth_prime_n'
1.93244023966 'h4/thm/integral/LT_0_' 'mat/lt_O_S'
1.93244023966 'h4/thm/arithmetic/FACT_LESS_' 'mat/lt_O_fact'
1.93244023966 'h4/thm/prim_rec/LESS_0_' 'mat/lt_O_S'
1.86666026881 'h4/thm/divides/NOT_PRIME_0_' 'mat/not_prime_O'
1.86666026881 'h4/thm/divides/NOT_PRIME_1_'#@#variant 'mat/not_prime_SO'#@#variant
1.71634398974 'h4/thm/divides/INDEX_LESS_PRIMES_' 'mat/lt_n_nth_prime_n'
1.71634398974 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_' 'mat/le_n_Sn'
1.68739593633 'h4/thm/prim_rec/LESS_REFL_' 'mat/Not_lt_n_n'
1.66068403056 'h4/thm/arithmetic/LESS_MONO_MULT_' 'mat/le_times_l'
1.66068403056 'h4/thm/arithmetic/LESS_MONO_ADD_' 'mat/lt_plus_l'
1.64001178531 'h4/thm/divides/DIVIDES_REFL_' 'mat/divides_n_n'
1.56102673575 'h4/thm/gcd/GCD_REF_' 'mat/gcd_n_n'
1.49741468752 'h4/thm/prim_rec/NOT_LESS_EQ_' 'mat/eq_to_not_lt'
1.49741468752 'h4/thm/prim_rec/LESS_NOT_EQ_' 'mat/eq_to_not_lt'
1.49741468752 'h4/thm/prim_rec/NOT_LESS_EQ_' 'mat/lt_to_not_eq'
1.49741468752 'h4/thm/prim_rec/LESS_NOT_EQ_' 'mat/lt_to_not_eq'
1.46071429073 'h4/thm/float/egtff_'#@#variant 'mat/B_SSSSO'#@#variant
1.44451667461 'h4/thm/toto/all_cpn_distinct_tRRL' 'mat/not_eq_true_false'
1.44451667461 'h4/thm/toto/cpn_distinct_e2' 'mat/not_eq_true_false'
1.39915262177 'h4/thm/real/REAL_MUL_' 'mat/times_Qtimes'
1.39915262177 'h4/thm/real/REAL_OF_NUM_MUL_' 'mat/times_Qtimes'
1.39915262177 'h4/thm/real/mult_ints_0' 'mat/times_Qtimes'
1.38311736374 'h4/thm/prim_rec/LESS_MONO_' 'mat/lt_to_lt_S_S'
1.38311736374 'h4/thm/bit/TWOEXP_MONO2_'#@#variant 'mat/le_to_le_pred'
1.38311736374 'h4/thm/prim_rec/LESS_MONO_' 'mat/ltS'
1.38311736374 'h4/thm/bit/TWOEXP_MONO2_'#@#variant 'mat/le_pred'
1.33960125151 'h4/thm/arithmetic/RIGHT_SUB_DISTRIB_' 'mat/times_minus_l'
1.33960125151 'h4/thm/arithmetic/EXP_BASE_MULT_' 'mat/times_exp'
1.33960125151 'h4/thm/arithmetic/RIGHT_ADD_DISTRIB_' 'mat/times_plus_l'
1.31623412348 'h4/thm/arithmetic/LEFT_ADD_DISTRIB_' 'mat/distr_times_plus'
1.31623412348 'h4/thm/gcd/GCD_COMMON_FACTOR_' 'mat/eq_gcd_times_times_times_gcd'
1.31623412348 'h4/thm/arithmetic/LEFT_SUB_DISTRIB_' 'mat/distr_times_minus'
1.28735379879 'h4/thm/numRing/num_rewrites_tLRLRRRRR' 'mat/times_n_O'
1.28735379879 'h4/thm/numeral/numeral_mult_1' 'mat/times_n_O'
1.28735379879 'h4/thm/real/REAL_MUL_RZERO_'#@#variant 'mat/Qtimes_q_OQ'
1.28735379879 'h4/thm/numeral/enumeral_mult_1' 'mat/times_n_O'
1.28735379879 'h4/thm/numeral/numeral_distrib_4' 'mat/times_n_O'
1.28735379879 'h4/thm/arithmetic/MULT_0_' 'mat/times_n_O'
1.28735379879 'h4/thm/numRing/num_rewrites_tLRRRRL' 'mat/times_n_O'
1.28735379879 'h4/thm/numeral/internal_mult_characterisation_1' 'mat/times_n_O'
1.28735379879 'h4/thm/arithmetic/MULT_CLAUSES_1' 'mat/times_n_O'
1.23668197125 'h4/thm/arithmetic/EXP_1_0'#@#variant 'mat/exp_SO_n'#@#variant
1.23668197125 'h4/thm/gcd/GCD_1_0'#@#variant 'mat/gcd_SO_n'#@#variant
1.17425664993 'h4/thm/bit/LESS_MULT_MONO2_' 'mat/lt_times'
1.17425664993 'h4/thm/integer/LT_ADD2_' 'mat/lt_plus'
1.17425664993 'h4/thm/arithmetic/LESS_MONO_MULT2_' 'mat/le_times'
1.17425664993 'h4/thm/arithmetic/LESS_EQ_LESS_EQ_MONO_' 'mat/le_plus'
1.12208182457 'h4/thm/HolSmt/r234_'#@#variant 'mat/Qtimes_Qone_q'
1.12208182457 'h4/thm/realax/REAL_MUL_LID_' 'mat/Qtimes_Qone_q'
1.12208182457 'h4/thm/integer/INT_ADD_REDUCE_0'#@#variant 'mat/Ztimes_Zone_l'
1.12208182457 'h4/thm/integer/INT_ADD_CALCULATE_0'#@#variant 'mat/Ztimes_Zone_l'
1.12208182457 'h4/thm/HolSmt/r079_'#@#variant 'mat/Ztimes_Zone_l'
1.12208182457 'h4/thm/gcd/gcd_def_compute_0' 'mat/gcd_O_n'
1.12208182457 'h4/thm/gcd/GCD_0L_' 'mat/gcd_O_n'
1.12208182457 'h4/thm/integer/INT_ADD_LID_'#@#variant 'mat/Ztimes_Zone_l'
1.12208182457 'h4/thm/real/REAL_MUL_LID_'#@#variant 'mat/Qtimes_Qone_q'
1.12208182457 'h4/thm/gcd/gcd_def_0' 'mat/gcd_O_n'
1.07008907247 'h4/thm/divides/primePRIMES_' 'mat/prime_nth_prime'
1.07008907247 'h4/thm/divides/ZERO_LT_PRIMES_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
1.07008907247 'h4/thm/integral/LT_0_'#@#variant 'mat/lt_O_S'#@#variant
1.07008907247 'h4/thm/arithmetic/FACT_LESS_'#@#variant 'mat/lt_O_fact'#@#variant
1.07008907247 'h4/thm/prim_rec/LESS_0_'#@#variant 'mat/lt_O_S'#@#variant
1.07008907247 'h4/thm/divides/ONE_LT_PRIMES_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
1.02573224771 'h4/thm/divides/DIVIDES_TRANS_' 'mat/trans_divides'
1.02573224771 'h4/thm/arithmetic/LESS_EQ_TRANS_' 'mat/trans_le'
1.02573224771 'h4/thm/arithmetic/LESS_TRANS_' 'mat/trans_lt'
0.930635424743 'h4/thm/numeral/numeral_distrib_7' 'mat/minus_n_O'
0.930635424743 'h4/thm/numRing/num_rewrites_tLRRRRRRRL' 'mat/minus_n_O'
0.930635424743 'h4/thm/integer/INT_ADD_REDUCE_1'#@#variant 'mat/Ztimes_Zone_r'
0.930635424743 'h4/thm/integer/INT_ADD_RID_'#@#variant 'mat/Ztimes_Zone_r'
0.930635424743 'h4/thm/arithmetic/SUB_0_e1' 'mat/minus_n_O'
0.930635424743 'h4/thm/arithmetic/DIV_1_'#@#variant 'mat/div_SO'#@#variant
0.930635424743 'h4/thm/arithmetic/MULT_RIGHT_1_'#@#variant 'mat/times_n_SO'#@#variant
0.930635424743 'h4/thm/integer/INT_ADD_CALCULATE_1'#@#variant 'mat/Ztimes_Zone_r'
0.930635424743 'h4/thm/numRing/num_rewrites_tLRL' 'mat/plus_n_O'
0.930635424743 'h4/thm/arithmetic/ADD_CLAUSES_1' 'mat/plus_n_O'
0.930635424743 'h4/thm/HolSmt/r080_'#@#variant 'mat/Ztimes_Zone_r'
0.930635424743 'h4/thm/arithmetic/ADD_0_' 'mat/plus_n_O'
0.930635424743 'h4/thm/arithmetic/EXP_1_e1'#@#variant 'mat/exp_n_SO'#@#variant
0.930635424743 'h4/thm/real/REAL_MUL_RID_'#@#variant 'mat/Qtimes_q_Qone'
0.930635424743 'h4/thm/numeral/numeral_distrib_1' 'mat/plus_n_O'
0.930635424743 'h4/thm/arithmetic/DIV_ONE_'#@#variant 'mat/div_SO'#@#variant
0.930635424743 'h4/thm/arithmetic/MULT_CLAUSES_3'#@#variant 'mat/times_n_SO'#@#variant
0.882332859658 'h4/thm/int_bitwise/int_not_not_' 'mat/Zopp_Zopp'
0.882332859658 'h4/thm/real/REAL_INV_INV_' 'mat/Qinv_Qinv'
0.837075431782 'h4/thm/integer/INT_ADD_ASSOC_' 'mat/assoc_Ztimes'
0.837075431782 'h4/thm/arithmetic/MULT_ASSOC_' 'mat/assoc_times'
0.837075431782 'h4/thm/HolSmt/r083_' 'mat/assoc_Ztimes'
0.837075431782 'h4/thm/arithmetic/ADD_ASSOC_' 'mat/assoc_plus'
0.710534385289 'h4/thm/integer/INT_ADD_SYM_' 'mat/sym_Ztimes'
0.710534385289 'h4/thm/gcd/GCD_SYM_' 'mat/sym_gcd'
0.710534385289 'h4/thm/integer/INT_ADD_COMM_' 'mat/sym_Ztimes'
0.710534385289 'h4/thm/arithmetic/ADD_SYM_' 'mat/sym_plus'
0.710534385289 'h4/thm/HolSmt/r081_' 'mat/sym_Ztimes'
0.710534385289 'h4/thm/arithmetic/MULT_COMM_' 'mat/sym_times'
0.710534385289 'h4/thm/arithmetic/MULT_SYM_' 'mat/sym_times'
0.710534385289 'h4/thm/arithmetic/ADD_COMM_' 'mat/sym_plus'
0. 'h4/thm/complex/CONJ_CONJ_'#@#variant 'mat/rinv_rinv'
0. 'h4/thm/transc/SIN_BOUNDS_0'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/real/REAL_MUL_COMM_' 'mat/orb_sym'
0. 'h4/thm/transc/SIN_BOUNDS_0'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/rat/RAT_ADD_RID_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/real/REAL_OF_NUM_MUL_' 'mat/bool_to_nat_andb'
0. 'h4/thm/extreal/add_not_infty_0' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'h4/thm/integer/INT_MAX_NUM_' 'mat/times_Qtimes'
0. 'h4/thm/real/REAL_INV_INV_' 'mat/Zopp_Zopp'
0. 'h4/thm/extreal/lt_imp_ne_' 'mat/lt_to_not_eq'
0. 'h4/thm/integer/TINT_ADD_SYM_'#@#variant 'mat/sym_plus'
0. 'h4/thm/arithmetic/ADD_CLAUSES_1' 'mat/rtimes_r_one'
0. 'h4/thm/rat/RAT_SUB_LDISTRIB_' 'mat/eq_gcd_times_times_times_gcd'
0. 'h4/thm/extreal/extreal_distinct_0' 'mat/not_eq_true_false'
0. 'h4/thm/integral/LT_0_' 'mat/lt_O_nth_prime_n'
0. 'h4/thm/real/REAL_LE_TRANS_' 'mat/trans_le'
0. 'h4/thm/arithmetic/ADD_0_' 'mat/times_n_SO'#@#variant
0. 'h4/thm/real/REAL_MIN_ADD_' 'mat/times_exp'
0. 'h4/thm/integerRing/int_calculate_4' 'mat/times_Qtimes'
0. 'h4/thm/patricia/BRANCHING_BIT_SYM_' 'mat/orb_sym'
0. 'h4/thm/numeral/numeral_iisuc_0'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/real/REAL_MUL_LID_'#@#variant 'mat/Ztimes_Zone_l'
0. 'h4/thm/arithmetic/FACT_LESS_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/extreal/min_comm_' 'mat/sym_Ztimes'
0. 'h4/thm/integerRing/int_calculate_0' 'mat/times_Qtimes'
0. 'h4/thm/toto/numeralOrd_6' 'mat/nat_compare_S_S'
0. 'h4/thm/rat/RAT_SGN_MUL_' 'mat/rtimes_Zplus'
0. 'h4/thm/realax/TREAL_ADD_SYM_'#@#variant 'mat/andb_sym'
0. 'h4/thm/toto/numeralOrd_5' 'mat/nat_compare_S_S'
0. 'h4/thm/real/ABS_POS_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/real/REAL_MUL_LNEG_' 'mat/Zplus_Zpred'
0. 'h4/thm/integer/INT_QUOT_CALCULATE_e4' 'mat/Qinv_Qinv'
0. 'h4/thm/float/EXP_GT_ZERO_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/toto/TO_numOrd_' 'mat/symmetricb_same_atom'
0. 'h4/thm/arithmetic/LESS_OR_' 'mat/Zlt_to_Zle'
0. 'h4/thm/toto/cpn_distinct_1' 'mat/not_eq_true_false'
0. 'h4/thm/toto/cpn_distinct_0' 'mat/not_eq_true_false'
0. 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant 'mat/demorgan1'
0. 'h4/thm/numeral/internal_mult_characterisation_1' 'mat/Qtimes_q_OQ'
0. 'h4/thm/arithmetic/MULT_RIGHT_1_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/complex/COMPLEX_ADD_ASSOC_'#@#variant 'mat/assoc_plus'
0. 'h4/thm/extreal/extreal_not_infty_e1' 'mat/not_eq_denominator_nfa_zero'
0. 'h4/thm/HolSmt/r216_'#@#variant 'mat/times_SSO_n'#@#variant
0. 'h4/thm/real/ABS_POS_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/arithmetic/transitive_LESS_' 'mat/antisymmetric_le'
0. 'h4/thm/arithmetic/MULT_CLAUSES_3'#@#variant 'mat/plus_n_O'
0. 'h4/thm/arithmetic/ABS_DIFF_SYM_' 'mat/orb_sym'
0. 'h4/thm/divides/LT_PRIMES_' 'mat/le_to_le_pred'
0. 'h4/thm/extreal/max_infty_1' 'mat/mod_O_n'
0. 'h4/thm/HolSmt/r213_'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/divides/PRIME_POS_'#@#variant 'mat/correct2'
0. 'h4/thm/integer/INT_MUL_CALCULATE_e3' 'mat/Zopp_Zopp'
0. 'h4/thm/rat/RAT_LES_REF_' 'mat/Not_lt_n_n'
0. 'h4/thm/real/REAL_NEGNEG_' 'mat/rinv_rinv'
0. 'h4/thm/float/REAL_MUL_AC_0' 'mat/andb_sym'
0. 'h4/thm/arithmetic/MAX_0_0' 'mat/minus_n_O'
0. 'h4/thm/realax/REAL_LT_TRANS_' 'mat/trans_divides'
0. 'h4/thm/arithmetic/MULT_CLAUSES_3'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/logroot/LOG_BASE_'#@#variant 'mat/mod_n_n'#@#variant
0. 'h4/thm/numpair/nlen_thm_0' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/numeral_bit/numeral_ilog2_0' 'mat/B_SSSSO'#@#variant
0. 'h4/thm/complex/CONJ_CONJ_'#@#variant 'mat/notb_notb'
0. 'h4/thm/arithmetic/MULT_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/sptree/lrnext_thm_2'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/complex/COMPLEX_OF_REAL_MUL_'#@#variant 'mat/eq_plus_Zplus'
0. 'h4/thm/integer/INT_SUB_RZERO_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/string_num/s2n_n2s_'#@#variant 'mat/defactorize_factorize'
0. 'h4/thm/arithmetic/MAX_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/arithmetic/DIV_1_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/numeral/numeral_distrib_1' 'mat/minus_n_O'
0. 'h4/thm/transc/RPOW_NZ_'#@#variant 'mat/andb_true_true'
0. 'h4/thm/hreal/HRAT_LT_REFL_' 'mat/Not_lt_n_n'
0. 'h4/thm/transc/ATN_0'#@#variant 'mat/lt_O_S'
0. 'h4/thm/rat/RAT_ADD_CALCULATE_' 'mat/rtimes_Zplus'
0. 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/HolSmt/r081_' 'mat/orbC'
0. 'h4/thm/numeral/numeral_pre_0' 'mat/A_SSO'#@#variant
0. 'h4/thm/frac/FRAC_SGN_MUL_' 'mat/times_fa_Qtimes'
0. 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL' 'mat/notb_notb'
0. 'h4/thm/poly/POLY_DIVIDES_TRANS_'#@#variant 'mat/trans_le'
0. 'h4/thm/real/REAL_ADD_RDISTRIB_' 'mat/times_plus_l'
0. 'h4/thm/binary_ieee/float_compare_distinct_e5' 'mat/not_eq_true_false'
0. 'h4/thm/numRing/num_rewrites_tRRLRRRRRR' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/divides/INDEX_LESS_PRIMES_' 'mat/le_n_fact_n'
0. 'h4/thm/real/REAL_ADD_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/real/REAL_LTE_TOTAL_' 'mat/not_le_to_lt'
0. 'h4/thm/transc/TAN_0_'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/hreal/HRAT_MUL_RINV_' 'mat/rtimes_rinv'
0. 'h4/thm/numeral/numeral_evenodd_e5' 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/numeral_bit/NUMERAL_SFUNPOW_iDIV2_0'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/rat/RAT_AINV_ONE_ONE_' 'mat/injective_notb'
0. 'h4/thm/integer/TINT_EQ_TRANS_'#@#variant 'mat/trans_lt'
0. 'h4/thm/gcd/GCD_COMMON_FACTOR_' 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/numeral_bit/NUMERAL_SFUNPOW_iDUB_0'#@#variant 'mat/Qtimes_Qone_q'
0. 'h4/thm/extreal/extreal_ainv_def_1' 'mat/A_SSSO'#@#variant
0. 'h4/thm/extreal/extreal_ainv_def_0' 'mat/A_SSSO'#@#variant
0. 'h4/thm/util_prob/lg_1_'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/arithmetic/MULT_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/HolSmt/r223_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/arithmetic/MAX_0_e1' 'mat/gcd_O_n'
0. 'h4/thm/real/REAL_INV_POS_'#@#variant 'mat/lt_SO_smallest_factor'#@#variant
0. 'h4/thm/extreal/min_le2_' 'mat/divides_gcd_m'
0. 'h4/thm/rat/RAT_ADD_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/integer/INT_MUL_' 'mat/times_fa_Qtimes'
0. 'h4/thm/real/REAL_ADD_RID_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/real/REAL_MAX_SUB_' 'mat/times_exp'
0. 'h4/thm/binary_ieee/float_value_distinct_1' 'mat/not_eq_denominator_nfa_zero'
0. 'h4/thm/hreal/HRAT_MUL_RID_' 'mat/times_n_SO'#@#variant
0. 'h4/thm/binary_ieee/float_value_distinct_0' 'mat/not_eq_denominator_nfa_zero'
0. 'h4/thm/rat/RAT_SUB_RID_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/real/REAL_ADD_LID_'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/complex/MODU_POS_'#@#variant 'mat/sieve_sorted'#@#variant
0. 'h4/thm/realax/REAL_MUL_ASSOC_' 'mat/andbA'
0. 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant 'mat/Zplus_Zpred'
0. 'h4/thm/realax/REAL_ADD_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/integer/TINT_ADD_SYM_'#@#variant 'mat/sym_Ztimes'
0. 'h4/thm/extreal/add_not_infty_0' 'mat/times_O_to_O'
0. 'h4/thm/extreal/le_trans_' 'mat/trans_lt'
0. 'h4/thm/rat/RAT_AINV_0_'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/realax/REAL_ADD_SYM_' 'mat/orb_sym'
0. 'h4/thm/HolSmt/r128_' 'mat/Zsucc_Zplus_pos_O'
0. 'h4/thm/ieee/num2ccode_ccode2num_' 'mat/defactorize_factorize'
0. 'h4/thm/arithmetic/LEFT_ADD_DISTRIB_' 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/real/REAL_IMP_MIN_LE2_' 'mat/divides_times'
0. 'h4/thm/integer/INT_MUL_CALCULATE_e3' 'mat/finv_finv'
0. 'h4/thm/arithmetic/MIN_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/numpair/tri_LT_I_' 'mat/le_to_le_pred'
0. 'h4/thm/arithmetic/MULT_LEFT_1_'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/real/REAL_LT_TRANS_' 'mat/trans_lt'
0. 'h4/thm/hreal/HREAL_LDISTRIB_' 'mat/distr_times_plus'
0. 'h4/thm/integer/INT_REM_CALCULATE_2' 'mat/rinv_rinv'
0. 'h4/thm/binary_ieee/rounding_BIJ_0' 'mat/factorize_defactorize'
0. 'h4/thm/realax/TREAL_LDISTRIB_'#@#variant 'mat/distr_times_plus'
0. 'h4/thm/binary_ieee/zero_neq_twopow_'#@#variant 'mat/not_eq_denominator_nfa_zero'
0. 'h4/thm/real/REAL_NEG_NEG_' 'mat/Zopp_Zopp'
0. 'h4/thm/HolSmt/r214_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/arithmetic/FACT_0'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/hreal/HREAL_MUL_SYM_' 'mat/sym_gcd'
0. 'h4/thm/transc/ATN_BOUNDS_0'#@#variant 'mat/le_SO_fact'#@#variant
0. 'h4/thm/realax/TREAL_ADD_WELLDEF_'#@#variant 'mat/le_plus'
0. 'h4/thm/integer/INT_MUL_RZERO_'#@#variant 'mat/times_n_O'
0. 'h4/thm/extreal/extreal_add_def_0' 'mat/times_fa_Qtimes'
0. 'h4/thm/transc/EXP_SUB_' 'mat/demorgan1'
0. 'h4/thm/integer/TINT_ADD_ASSOC_'#@#variant 'mat/andb_assoc'
0. 'h4/thm/transc/EXP_POS_LT_'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/integerRing/int_rewrites_tLL' 'mat/bool_to_nat_andb'
0. 'h4/thm/real/REAL_ADD_SYM_' 'mat/sym_rtimes'
0. 'h4/thm/arithmetic/ADD_0_' 'mat/Ztimes_Zone_r'
0. 'h4/thm/real/add_ints_0' 'mat/rtimes_Zplus'
0. 'h4/thm/integer/INT_ADD_SYM_' 'mat/sym_times'
0. 'h4/thm/extreal/min_infty_1' 'mat/rtimes_one_r'
0. 'h4/thm/realax/HREAL_RDISTRIB_' 'mat/times_exp'
0. 'h4/thm/real/mult_ints_0' 'mat/eq_plus_Zplus'
0. 'h4/thm/rat/RAT_MUL_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/HolSmt/r080_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/integer/INT_MUL_RID_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/arithmetic/MULT_COMM_' 'mat/andb_sym'
0. 'h4/thm/arithmetic/DIV_ONE_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/arithmetic/ZERO_LESS_EQ_' 'mat/divides_SO_n'#@#variant
0. 'h4/thm/hrat/HRAT_MUL_SYM_' 'mat/orbC'
0. 'h4/thm/hrat/HRAT_MUL_SYM_' 'mat/orb_sym'
0. 'h4/thm/real/REAL_MUL_SYM_' 'mat/andb_sym'
0. 'h4/thm/numRing/num_rewrites_tRRLRRRRRR' 'mat/A_SO'#@#variant
0. 'h4/thm/float/REAL_ABS_DIV_' 'mat/Zopp_Zplus'
0. 'h4/thm/HolSmt/r233_'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/integer/INT_MUL_' 'mat/eq_times_times_fa'
0. 'h4/thm/integer/INT_ADD_REDUCE_1'#@#variant 'mat/plus_n_O'
0. 'h4/thm/frac/FRAC_MUL_RID_' 'mat/div_SO'#@#variant
0. 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant 'mat/lt_exp'#@#variant
0. 'h4/thm/complex/COMPLEX_ADD_COMM_'#@#variant 'mat/sym_gcd'
0. 'h4/thm/complex/COMPLEX_NEG_DIV2_'#@#variant 'mat/minus_S_S'
0. 'h4/thm/divides/ONE_LT_PRIMES_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/realax/TREAL_ADD_SYM_'#@#variant 'mat/orbC'
0. 'h4/thm/transc/RPOW_0_'#@#variant 'mat/log_SO'#@#variant
0. 'h4/thm/real/REAL_LT_ADD2_' 'mat/lt_plus'
0. 'h4/thm/real/REAL_ADD_LID_'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/integerRing/int_calculate_4' 'mat/eq_times_fa_times'
0. 'h4/thm/extreal/sub_rzero_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/integerRing/int_calculate_0' 'mat/eq_times_fa_times'
0. 'h4/thm/num/num_ISO_DEF_0' 'mat/factorize_defactorize'
0. 'h4/thm/complex/COMPLEX_OF_REAL_SUB_'#@#variant 'mat/times_fa_Qtimes'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRL' 'mat/Zplus_z_OZ'
0. 'h4/thm/extreal/min_infty_e3' 'mat/Qtimes_q_OQ'
0. 'h4/thm/extreal/add_infty_tLL' 'mat/Ztimes_z_OZ'
0. 'h4/thm/integer/INT_ADD_REDUCE_2'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/float/TWO_EXP_GE_1_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/complex/COMPLEX_ADD_ASSOC_'#@#variant 'mat/assoc_Zplus'
0. 'h4/thm/integer/INT_DIV_CALCULATE_e4' 'mat/opposite_direction_idempotent'
0. 'h4/thm/arithmetic/MAX_0_0' 'mat/exp_n_SO'#@#variant
0. 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/realax/REAL_ADD_LINV_' 'mat/minus_Sn_n'#@#variant
0. 'h4/thm/complex/COMPLEX_OF_REAL_ADD_'#@#variant 'mat/eq_plus_Zplus'
0. 'h4/thm/realax/TREAL_LT_ADD_'#@#variant 'mat/le_plus_r'
0. 'h4/thm/real/REAL_IMP_MAX_LE2_' 'mat/lt_plus'
0. 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_1' 'mat/le_plus_n'
0. 'h4/thm/realax/TREAL_LT_ADD_'#@#variant 'mat/le_times_r'
0. 'h4/thm/integer/INT_SUB_RZERO_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/extreal/num_not_infty_e1' 'mat/not_eq_numerator_nfa_zero'
0. 'h4/thm/extreal/mul_lone_'#@#variant 'mat/Ztimes_Zone_l'
0. 'h4/thm/integer/INT_SUB_RZERO_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/transc/COS_PI_'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/arithmetic/FACT_LESS_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/complex/COMPLEX_ADD_ASSOC_'#@#variant 'mat/assoc_times'
0. 'h4/thm/frac/FRAC_MUL_COMM_' 'mat/andb_sym'
0. 'h4/thm/frac/FRAC_ADD_COMM_' 'mat/andb_sym'
0. 'h4/thm/transc/EXP_POS_LE_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/integerRing/int_calculate_e13'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/integer/TINT_ADD_WELLDEF_'#@#variant 'mat/le_times'
0. 'h4/thm/integer/INT_LE_ADD2_' 'mat/lt_plus'
0. 'h4/thm/patricia/BRANCHING_BIT_SYM_' 'mat/orbC'
0. 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant 'mat/lt_exp1'#@#variant
0. 'h4/thm/rat/RAT_ADD_LID_'#@#variant 'mat/Qtimes_Qone_q'
0. 'h4/thm/DeepSyntax/posinf_def_1' 'mat/Qinv_Qtimes\''
0. 'h4/thm/real/REAL_10_'#@#variant 'mat/not_eq_true_false'
0. 'h4/thm/DeepSyntax/posinf_def_0' 'mat/Qinv_Qtimes\''
0. 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant 'mat/factorize_defactorize'
0. 'h4/thm/arithmetic/ABS_DIFF_ZERO_0' 'mat/minus_n_O'
0. 'h4/thm/hreal/HREAL_MUL_LID_' 'mat/Ztimes_Zone_l'
0. 'h4/thm/hrat/TRAT_MUL_SYM_EQ_'#@#variant 'mat/andb_sym'
0. 'h4/thm/bit/ONE_LE_TWOEXP_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/frac/frac_tybij_0'#@#variant 'mat/defactorize_factorize'
0. 'h4/thm/extreal/lt_imp_le_' 'mat/lt_to_le'
0. 'h4/thm/real/REAL_NEGNEG_' 'mat/eq_notb_notb_b_b'
0. 'h4/thm/real/REAL_MIN_REFL_' 'mat/orb_refl'
0. 'h4/thm/real/REAL_ADD_SYM_' 'mat/sym_times'
0. 'h4/thm/arithmetic/MAX_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/arithmetic/MIN_COMM_' 'mat/sym_Zplus'
0. 'h4/thm/real/REAL_POS_POS_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/integer/INT_LE_TRANS_' 'mat/trans_le'
0. 'h4/thm/real/REAL_LT_ADD2_' 'mat/divides_times'
0. 'h4/thm/real/REAL_ADD_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRL' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/real/REAL_ADD_' 'mat/eq_plus_Zplus'
0. 'h4/thm/arithmetic/MOD_ONE_'#@#variant 'mat/bc_n_O'#@#variant
0. 'h4/thm/integer/INT_MUL_' 'mat/rtimes_Zplus'
0. 'h4/thm/real/REAL_ADD_COMM_' 'mat/sym_Zplus'
0. 'h4/thm/extreal/le_num_'#@#variant 'mat/sieve_sorted'#@#variant
0. 'h4/thm/extreal/num_not_infty_0' 'mat/not_eq_OZ_pos'
0. 'h4/thm/numeral_bit/NUMERAL_iDIV2_2' 'mat/Zpred_Zsucc'
0. 'h4/thm/numeral/iDUB_' 'mat/times_SSO_n'#@#variant
0. 'h4/thm/transc/SQRT_0_'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/numeral/numeral_mult_1' 'mat/Qtimes_q_OQ'
0. 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant 'mat/eq_A_A\''
0. 'h4/thm/complex/COMPLEX_OF_NUM_MUL_'#@#variant 'mat/rtimes_Zplus'
0. 'h4/thm/real/REAL_MUL_COMM_' 'mat/orbC'
0. 'h4/thm/complex/CONJ_CONJ_'#@#variant 'mat/Zopp_Zopp'
0. 'h4/thm/hrat/HRAT_ADD_ASSOC_' 'mat/andbA'
0. 'h4/thm/real/REAL_OVER1_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRL' 'mat/A_SO'#@#variant
0. 'h4/thm/arithmetic/ADD_SYM_' 'mat/andb_sym'
0. 'h4/thm/hreal/HRAT_RDISTRIB_' 'mat/times_plus_l'
0. 'h4/thm/integer/INT_ADD_CALCULATE_0'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/numeral_bit/NUMERAL_SFUNPOW_iDUB_1'#@#variant 'mat/Qtimes_q_OQ'
0. 'h4/thm/numeral/numeral_MIN_0' 'mat/mod_O_n'
0. 'h4/thm/numeral/numeral_evenodd_1' 'mat/lt_O_teta'#@#variant
0. 'h4/thm/divides/PRIMES_def_0'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/real/REAL_LDISTRIB_' 'mat/distr_times_minus'
0. 'h4/thm/float/ZERO_NOT_NAN_0' 'mat/not_prime_O'
0. 'h4/thm/prim_rec/LESS_0_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/numeral/TWO_EXP_THM_0'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/rat/RAT_SUB_RID_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/arithmetic/ABS_DIFF_EQS_' 'mat/minus_n_n'
0. 'h4/thm/arithmetic/EXP_1_e1'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/complex/COMPLEX_OF_REAL_DIV_'#@#variant 'mat/eq_times_fa_times'
0. 'h4/thm/integer/INT_ADD_REDUCE_3' 'mat/eq_notb_notb_b_b'
0. 'h4/thm/gcd/GCD_0L_' 'mat/Qtimes_Qone_q'
0. 'h4/thm/rat/RAT_MUL_CALCULATE_' 'mat/times_fa_Qtimes'
0. 'h4/thm/numeral_bit/NUMERAL_iDIV2_2' 'mat/Zsucc_Zpred'
0. 'h4/thm/integerRing/int_calculate_4' 'mat/eq_plus_Zplus'
0. 'h4/thm/integer/INT_MIN_NUM_' 'mat/bool_to_nat_andb'
0. 'h4/thm/real/REAL_LT_IMP_NE_' 'mat/eq_to_not_lt'
0. 'h4/thm/real/REAL_MUL_SYM_' 'mat/sym_gcd'
0. 'h4/thm/integerRing/int_calculate_0' 'mat/eq_plus_Zplus'
0. 'h4/thm/arithmetic/ADD_CLAUSES_2' 'mat/Zplus_Zsucc'
0. 'h4/thm/arithmetic/ABS_DIFF_COMM_' 'mat/sym_Ztimes'
0. 'h4/thm/rich_list/IS_SUFFIX_REFL_' 'mat/incl_A_A'
0. 'h4/thm/HolSmt/r081_' 'mat/sym_rtimes'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRL' 'mat/plus_n_O'
0. 'h4/thm/arithmetic/ADD_e1' 'mat/Zplus_Zpred'
0. 'h4/thm/real/REAL_ABS_POS_'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/integerRing/int_calculate_12' 'mat/Qinv_Qinv'
0. 'h4/thm/gcd/GCD_SYM_' 'mat/sym_times'
0. 'h4/thm/arithmetic/NORM_0_' 'mat/B_SSSSO'#@#variant
0. 'h4/thm/binary_ieee/num2float_compare_float_compare2num_' 'mat/factorize_defactorize'
0. 'h4/thm/numeral/numeral_add_0'#@#variant 'mat/pred_Sn'
0. 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant 'mat/defactorize_factorize'
0. 'h4/thm/realax/HREAL_LT_NE_' 'mat/eq_to_not_lt'
0. 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant 'mat/le_times_l'
0. 'h4/thm/arithmetic/MULT_SYM_' 'mat/sym_gcd'
0. 'h4/thm/rat/RAT_SUB_LDISTRIB_' 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/extreal/extreal_abs_def_e2' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/complex/COMPLEX_NEG_MUL2_'#@#variant 'mat/minus_S_S'
0. 'h4/thm/transc/LN_1_'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/extreal/le_lmul_imp_'#@#variant 'mat/lt_times_r1'#@#variant
0. 'h4/thm/integer/INT_SUB_RDISTRIB_' 'mat/times_plus_l'
0. 'h4/thm/numeral_bit/NUMERAL_SFUNPOW_iDUB_0'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/realax/TREAL_LT_ADD_'#@#variant 'mat/lt_plus_r'
0. 'h4/thm/integer/INT_ADD_REDUCE_3' 'mat/opposite_direction_idempotent'
0. 'h4/thm/list/APPEND_NIL_' 'mat/append_nil'
0. 'h4/thm/extreal/mul_comm_' 'mat/sym_plus'
0. 'h4/thm/arithmetic/ADD_CLAUSES_1' 'mat/Ztimes_Zone_r'
0. 'h4/thm/integer/TINT_ADD_ASSOC_'#@#variant 'mat/andbA'
0. 'h4/thm/extreal/lt_add2_' 'mat/lt_plus'
0. 'h4/thm/extreal/mul_assoc_' 'mat/assoc_Ztimes'
0. 'h4/thm/HolSmt/r083_' 'mat/andb_assoc'
0. 'h4/thm/integer/INT_LE_ADD2_' 'mat/le_times'
0. 'h4/thm/integer/LT_ADD2_' 'mat/lt_times'
0. 'h4/thm/toto/TO_numOrd_' 'mat/transitiveb_same_atom'
0. 'h4/thm/HolSmt/r214_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/arithmetic/MAX_0_e1' 'mat/rtimes_one_r'
0. 'h4/thm/integer/INT_REM_CALCULATE_2' 'mat/Qinv_Qinv'
0. 'h4/thm/prim_rec/PRE_e1' 'mat/Zpred_Zsucc'
0. 'h4/thm/arithmetic/ADD_CLAUSES_1' 'mat/div_SO'#@#variant
0. 'h4/thm/complex/COMPLEX_OF_NUM_MUL_'#@#variant 'mat/times_fa_Qtimes'
0. 'h4/thm/realax/HREAL_LT_ADD2_' 'mat/divides_times'
0. 'h4/thm/transc/ATN_BOUNDS_0'#@#variant 'mat/lt_O_nth_prime_n'
0. 'h4/thm/complex/CONJ_CONJ_'#@#variant 'mat/finv_finv'
0. 'h4/thm/extreal/extreal_abs_def_1' 'mat/B_SSSSO'#@#variant
0. 'h4/thm/arithmetic/ABS_DIFF_ZERO_0' 'mat/exp_n_SO'#@#variant
0. 'h4/thm/arithmetic/FACT_LESS_' 'mat/lt_O_nth_prime_n'
0. 'h4/thm/integer/INT_ADD_SYM_' 'mat/sym_rtimes'
0. 'h4/thm/numeral_bit/NUMERAL_TIMES_2EXP_0' 'mat/Qtimes_q_OQ'
0. 'h4/thm/transc/COS_PI_'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/integer/INT_ADD_REDUCE_3' 'mat/notb_notb'
0. 'h4/thm/real/REAL_OVER1_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/integer/INT_MUL_ASSOC_' 'mat/andbA'
0. 'h4/thm/arithmetic/LESS_EQ_REFL_' 'mat/divides_n_n'
0. 'h4/thm/realax/REAL_MUL_SYM_' 'mat/sym_gcd'
0. 'h4/thm/integral/LT_0_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/integer/INT_ABS_POS_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/bit/LESS_MULT_MONO2_' 'mat/lt_plus'
0. 'h4/thm/integer/LT_ADD2_' 'mat/le_times'
0. 'h4/thm/binary_ieee/float_value_distinct_1' 'mat/not_eq_OZ_pos'
0. 'h4/thm/numeral/numeral_distrib_12' 'mat/Zopp_Zplus'
0. 'h4/thm/realax/TREAL_ADD_SYM_'#@#variant 'mat/sym_Zplus'
0. 'h4/thm/binary_ieee/float_value_distinct_0' 'mat/not_eq_OZ_pos'
0. 'h4/thm/extreal/mul_comm_' 'mat/sym_Zplus'
0. 'h4/thm/integer/INT_NEG_LMUL_' 'mat/Zplus_Zsucc'
0. 'h4/thm/extreal/neg_neg_' 'mat/notb_notb'
0. 'h4/thm/gcd/LCM_0_0' 'mat/mod_O_n'
0. 'h4/thm/rat/RAT_ADD_COMM_' 'mat/andbC'
0. 'h4/thm/arithmetic/MULT_CLAUSES_3'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'h4/thm/integer_word/ONE_LE_TWOEXP_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/extreal/sub_rzero_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/realax/TREAL_MUL_ASSOC_'#@#variant 'mat/assoc_Ztimes'
0. 'h4/thm/rat/RAT_LEQ_ANTISYM_' 'mat/le_to_le_to_eq'
0. 'h4/thm/bit/ZERO_LT_TWOEXP_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/bit/ZERO_LT_TWOEXP_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/integer/INT_ADD_CALCULATE_0'#@#variant 'mat/Qtimes_Qone_q'
0. 'h4/thm/extreal/min_infty_0' 'mat/exp_n_SO'#@#variant
0. 'h4/thm/integer/INT_MUL_COMM_' 'mat/sym_gcd'
0. 'h4/thm/real/REAL_MUL_' 'mat/times_fa_Qtimes'
0. 'h4/thm/rat/RAT_MUL_COMM_' 'mat/sym_times'
0. 'h4/thm/extreal/extreal_div_eq_' 'mat/eq_plus_Zplus'
0. 'h4/thm/extreal/max_comm_' 'mat/sym_plus'
0. 'h4/thm/rat/RAT_MUL_LZERO_'#@#variant 'mat/mod_O_n'
0. 'h4/thm/complex/COMPLEX_OF_REAL_SUB_'#@#variant 'mat/bool_to_nat_andb'
0. 'h4/thm/ieee/float_tybij_0'#@#variant 'mat/factorize_defactorize'
0. 'h4/thm/transc/COS_BOUNDS_0'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/nets/DORDER_NGE_' 'mat/antisymmetric_le'
0. 'h4/thm/hrat/TRAT_MUL_SYM_EQ_'#@#variant 'mat/orbC'
0. 'h4/thm/divides/primePRIMES_' 'mat/lt_O_teta'#@#variant
0. 'h4/thm/integer/INT_MAX_NUM_' 'mat/rtimes_Zplus'
0. 'h4/thm/realax/HREAL_LT_ADD2_' 'mat/lt_plus'
0. 'h4/thm/real/REAL_LE_REFL_' 'mat/divides_n_n'
0. 'h4/thm/frac/FRAC_SGN_MUL_' 'mat/eq_plus_Zplus'
0. 'h4/thm/rat/RAT_MUL_RID_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/numeral_bit/NUMERAL_SFUNPOW_iDIV2_0'#@#variant 'mat/Qtimes_Qone_q'
0. 'h4/thm/real/REAL_MUL_COMM_' 'mat/sym_times'
0. 'h4/thm/real/REAL_ADD_COMM_' 'mat/sym_times'
0. 'h4/thm/integer/INT_SUB_RZERO_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/real/REAL_MUL_LZERO_'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/integer/INT_SUB_REDUCE_0'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/realax/TREAL_ADD_ASSOC_'#@#variant 'mat/assoc_Zplus'
0. 'h4/thm/gcd/GCD_0R_' 'mat/div_SO'#@#variant
0. 'h4/thm/extreal/ne_02_'#@#variant 'mat/not_eq_true_false'
0. 'h4/thm/extreal/le_max2_' 'mat/le_plus_n'
0. 'h4/thm/prim_rec/LESS_0_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/float/REAL_MUL_AC_0' 'mat/sym_Ztimes'
0. 'h4/thm/real/REAL_ABS_0_'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/real/REAL_MUL_COMM_' 'mat/sym_plus'
0. 'h4/thm/rat/RAT_ADD_RINV_'#@#variant 'mat/rtimes_rinv'
0. 'h4/thm/numRing/num_rewrites_tLRRRL' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/hrat/HRAT_LDISTRIB_' 'mat/eq_gcd_times_times_times_gcd'
0. 'h4/thm/hreal/HREAL_MUL_LID_' 'mat/gcd_O_n'
0. 'h4/thm/extreal/max_comm_' 'mat/sym_Zplus'
0. 'h4/thm/hrat/HRAT_MUL_SYM_' 'mat/sym_plus'
0. 'h4/thm/util_prob/logr_1_'#@#variant 'mat/bc_n_O'#@#variant
0. 'h4/thm/numpair/tri_le_' 'mat/lt_n_nth_prime_n'
0. 'h4/thm/extreal/add_assoc_' 'mat/andbA'
0. 'h4/thm/real/REAL_SUB_LZERO_' 'mat/Zsucc_Zplus_pos_O'
0. 'h4/thm/complex/COMPLEX_OF_NUM_MUL_'#@#variant 'mat/times_Qtimes'
0. 'h4/thm/real/REAL_NEG_ADD_' 'mat/Zopp_Zplus'
0. 'h4/thm/frac/FRAC_AINV_ONTO_' 'mat/injective_notb'
0. 'h4/thm/arithmetic/EVEN_DOUBLE_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/arithmetic/SUB_0' 'mat/mod_O_n'
0. 'h4/thm/complex/COMPLEX_DIV_ADD_'#@#variant 'mat/times_exp'
0. 'h4/thm/ieee/roundmode_BIJ_0' 'mat/factorize_defactorize'
0. 'h4/thm/rat/RAT_AINV_ONE_ONE_' 'mat/injective_S'
0. 'h4/thm/poly/POLY_DIVIDES_TRANS_'#@#variant 'mat/trans_lt'
0. 'h4/thm/prim_rec/LESS_SUC_REFL_' 'mat/le_n_Sn'
0. 'h4/thm/real/REAL_POS_MONO_' 'mat/le_pred'
0. 'h4/thm/rat/RAT_ADD_CALCULATE_' 'mat/times_fa_Qtimes'
0. 'h4/thm/real/REAL_NEGNEG_' 'mat/finv_finv'
0. 'h4/thm/real/REAL_ABS_MUL_' 'mat/Qinv_Qtimes\''
0. 'h4/thm/integer/INT_LDISTRIB_' 'mat/eq_gcd_times_times_times_gcd'
0. 'h4/thm/hreal/HRAT_LT_MUL2_' 'mat/lt_plus'
0. 'h4/thm/toto/StrongLinearOrder_LESS_' 'mat/antisymmetric_divides'
0. 'h4/thm/integer/INT_MUL_RID_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/realax/TREAL_ADD_SYM_'#@#variant 'mat/sym_rtimes'
0. 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant 'mat/eq_A_A\''
0. 'h4/thm/numeral_bit/NUMERAL_SFUNPOW_iDIV2_0'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/arithmetic/DIV_1_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/transc/EXP_MONO_IMP_' 'mat/le_S_S'
0. 'h4/thm/arithmetic/SUB_0_e1' 'mat/exp_n_SO'#@#variant
0. 'h4/thm/gcd/GCD_SYM_' 'mat/andb_sym'
0. 'h4/thm/realax/REAL_MUL_LID_' 'mat/Ztimes_Zone_l'
0. 'h4/thm/extreal/sub_rzero_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/HolSmt/r233_'#@#variant 'mat/mod_O_n'
0. 'h4/thm/extreal/extreal_sub_def_0' 'mat/eq_times_fa_times'
0. 'h4/thm/arithmetic/MIN_COMM_' 'mat/orb_sym'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRL' 'mat/exp_n_SO'#@#variant
0. 'h4/thm/prim_rec/LESS_0_' 'mat/lt_O_teta'
0. 'h4/thm/hrat/HRAT_MUL_SYM_' 'mat/andb_sym'
0. 'h4/thm/hreal/HRAT_MUL_RID_' 'mat/Zplus_z_OZ'
0. 'h4/thm/extreal/add_infty_tRL' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/divides/ZERO_LT_PRIMES_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/extreal/extreal_sqrt_def_e1' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/integer/INT_MUL_SYM_' 'mat/andb_sym'
0. 'h4/thm/integer/INT_MUL_REDUCE_0'#@#variant 'mat/Ztimes_z_OZ'
0. 'h4/thm/numpair/tri_LT_I_' 'mat/le_pred'
0. 'h4/thm/frac/FRAC_AINV_AINV_' 'mat/Qinv_Qinv'
0. 'h4/thm/integer/INT_DIVIDES_0_0'#@#variant 'mat/divides_n_O'
0. 'h4/thm/numRing/num_rewrites_tLLRR'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant 'mat/eq_notb_notb_b_b'
0. 'h4/thm/realax/REAL_MUL_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/integer/INT_MUL_LID_'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/arithmetic/MIN_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/real/REAL_ADD_RID_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/divides/ONE_LT_PRIMES_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/extreal/max_le2_imp_' 'mat/le_times'
0. 'h4/thm/transc/SQRT_0_'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/hreal/HREAL_MUL_LINV_' 'mat/minus_Sn_n'#@#variant
0. 'h4/thm/rat/RAT_LDISTRIB_' 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/real/REAL_NEG_LMUL_' 'mat/Zplus_Zsucc'
0. 'h4/thm/real/REAL_ABS_MUL_' 'mat/Zopp_Zplus'
0. 'h4/thm/extreal/mul_rone_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/extreal/mul_lone_'#@#variant 'mat/Qtimes_Qone_q'
0. 'h4/thm/complex/COMPLEX_OF_REAL_SUB_'#@#variant 'mat/rtimes_Zplus'
0. 'h4/thm/realax/TREAL_ADD_WELLDEF_'#@#variant 'mat/le_times'
0. 'h4/thm/HolSmt/r079_'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/gcd/GCD_COMMON_FACTOR_' 'mat/distr_times_plus'
0. 'h4/thm/HolSmt/r080_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/numeral/numeral_exp_0'#@#variant 'mat/exp_n_O0'#@#variant
0. 'h4/thm/numRing/num_rewrites_tLRL' 'mat/div_SO'#@#variant
0. 'h4/thm/numRing/num_rewrites_tLRRRRL' 'mat/Ztimes_z_OZ'
0. 'h4/thm/real/REAL_OF_NUM_MUL_' 'mat/eq_times_times_fa'
0. 'h4/thm/numeral/numeral_iisuc_0'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/complex/COMPLEX_OF_NUM_ADD_'#@#variant 'mat/times_fa_Qtimes'
0. 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant 'mat/le_log'#@#variant
0. 'h4/thm/real/REAL_NEG_RMUL_' 'mat/plus_n_Sm'
0. 'h4/thm/realax/REAL_MUL_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/integral/LT_0_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/extreal/min_infty_2' 'mat/mod_O_n'
0. 'h4/thm/complex/COMPLEX_SCALAR_LMUL_ADD_'#@#variant 'mat/eq_times_f_times1'
0. 'h4/thm/extreal/min_infty_0' 'mat/times_n_SO'#@#variant
0. 'h4/thm/integer/INT_ADD_RID_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/transc/SIN_PI2_'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant 'mat/le_times_l'
0. 'h4/thm/real/REAL_ADD_RID_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/integerRing/int_calculate_12' 'mat/eq_notb_notb_b_b'
0. 'h4/thm/integer/TINT_ADD_ASSOC_'#@#variant 'mat/assoc_times'
0. 'h4/thm/util_prob/lg_1_'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/arithmetic/MULT_RIGHT_1_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/real/REAL_INV1_'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/integer/INT_DIVIDES_REFL_' 'mat/divides_n_n'
0. 'h4/thm/prim_rec/LESS_MONO_' 'mat/le_pred'
0. 'h4/thm/integer/INT_MIN_NUM_' 'mat/eq_times_times_fa'
0. 'h4/thm/rich_list/APPEND_NIL_0' 'mat/append_nil'
0. 'h4/thm/extreal/min_le1_' 'mat/divides_gcd_nm/1'
0. 'h4/thm/hreal/HREAL_MUL_SYM_' 'mat/sym_rtimes'
0. 'h4/thm/hreal/HREAL_ADD_SYM_' 'mat/sym_gcd'
0. 'h4/thm/numeral_bit/MOD_2EXP_0' 'mat/times_n_O'
0. 'h4/thm/numeral/numeral_MAX_1' 'mat/times_n_SO'#@#variant
0. 'h4/thm/frac/FRAC_ADD_RID_' 'mat/rtimes_r_one'
0. 'h4/thm/arithmetic/ADD_COMM_' 'mat/sym_Zplus'
0. 'h4/thm/arithmetic/ABS_DIFF_ZERO_0' 'mat/Zplus_z_OZ'
0. 'h4/thm/transc/EXP_ADD_' 'mat/demorgan2'
0. 'h4/thm/prim_rec/LESS_0_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/extreal/mul_rzero_'#@#variant 'mat/times_n_O'
0. 'h4/thm/arithmetic/FACT_LESS_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/arithmetic/ABS_DIFF_COMM_' 'mat/andbC'
0. 'h4/thm/divides/LT_PRIMES_' 'mat/le_pred'
0. 'h4/thm/real/mult_ints_0' 'mat/times_fa_Qtimes'
0. 'h4/thm/arithmetic/FACT_LESS_'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/real/REAL_POS_INFLATE_' 'mat/lt_n_nth_prime_n'
0. 'h4/thm/rat/RAT_AINV_AINV_' 'mat/opposite_direction_idempotent'
0. 'h4/thm/real/REAL_MUL_SYM_' 'mat/sym_Zplus'
0. 'h4/thm/gcd/GCD_REF_' 'mat/orb_refl'
0. 'h4/thm/complex/COMPLEX_ADD_COMM_'#@#variant 'mat/orbC'
0. 'h4/thm/integer/TINT_ADD_WELLDEF_'#@#variant 'mat/lt_times'
0. 'h4/thm/extreal/extreal_exp_def_e2'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/real/REAL_ADD_COMM_' 'mat/sym_gcd'
0. 'h4/thm/gcd/LCM_COMM_' 'mat/sym_Zplus'
0. 'h4/thm/hrat/HRAT_ADD_SYM_' 'mat/orbC'
0. 'h4/thm/binary_ieee/float_compare_distinct_4' 'mat/not_eq_true_false'
0. 'h4/thm/arithmetic/EVEN_DOUBLE_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/binary_ieee/float_compare_distinct_3' 'mat/not_eq_true_false'
0. 'h4/thm/extreal/add_infty_tRL' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/binary_ieee/float_compare_distinct_2' 'mat/not_eq_true_false'
0. 'h4/thm/binary_ieee/float_compare_distinct_1' 'mat/not_eq_true_false'
0. 'h4/thm/integer/INT_REM_CALCULATE_2' 'mat/finv_finv'
0. 'h4/thm/binary_ieee/float_compare_distinct_0' 'mat/not_eq_true_false'
0. 'h4/thm/HolSmt/r080_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/integer/TINT_MUL_SYM_'#@#variant 'mat/andb_sym'
0. 'h4/thm/extreal/lt_sub_imp_' 'mat/le_minus_to_plus'
0. 'h4/thm/numpair/invtri_linverse_' 'mat/Zpred_Zsucc'
0. 'h4/thm/arithmetic/SUB_EQUAL_0_' 'mat/bc_n_n'#@#variant
0. 'h4/thm/real/REAL_ADD_SYM_' 'mat/andb_sym'
0. 'h4/thm/integral/LT_0_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/divides/DIVIDES_ANTISYM_' 'mat/le_to_le_to_eq'
0. 'h4/thm/rat/RAT_ADD_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/binary_ieee/num2float_compare_float_compare2num_' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/transc/EXP_NZ_'#@#variant 'mat/not_eq_O_S'
0. 'h4/thm/frac/FRAC_ADD_RID_' 'mat/div_SO'#@#variant
0. 'h4/thm/quote/index_compare_def_7' 'mat/nat_compare_S_S'
0. 'h4/thm/numeral_bit/NUMERAL_SFUNPOW_iDIV2_1'#@#variant 'mat/Ztimes_z_OZ'
0. 'h4/thm/quote/index_compare_def_5' 'mat/nat_compare_S_S'
0. 'h4/thm/hrat/TRAT_ADD_SYM_EQ_'#@#variant 'mat/sym_gcd'
0. 'h4/thm/integerRing/int_calculate_e13'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/real/REAL_MUL_' 'mat/eq_times_fa_times'
0. 'h4/thm/integer/INT_MAX_NUM_' 'mat/times_fa_Qtimes'
0. 'h4/thm/complex/COMPLEX_OF_NUM_ADD_'#@#variant 'mat/times_Qtimes'
0. 'h4/thm/real/REAL_IMP_MAX_LE2_' 'mat/le_plus'
0. 'h4/thm/arithmetic/MIN_0_e1' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/extreal/min_comm_' 'mat/andb_sym'
0. 'h4/thm/gcd/LCM_COMM_' 'mat/sym_times'
0. 'h4/thm/transc/SQRT_MONO_LE_'#@#variant 'mat/lt_pred'#@#variant
0. 'h4/thm/hrat/HRAT_MUL_SYM_' 'mat/sym_gcd'
0. 'h4/thm/integer/TINT_MUL_ASSOC_'#@#variant 'mat/assoc_plus'
0. 'h4/thm/extreal/extreal_sqrt_def_e1' 'mat/A_SSO'#@#variant
0. 'h4/thm/frac/FRAC_MUL_COMM_' 'mat/sym_Ztimes'
0. 'h4/thm/rat/RAT_ADD_NUM_CALCULATE_0' 'mat/eq_plus_Zplus'
0. 'h4/thm/integer_word/ONE_LE_TWOEXP_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant 'mat/le_plus_l'
0. 'h4/thm/integer/INT_ADD_REDUCE_1'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/transc/COS_BOUNDS_0'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/real/REAL_ADD_LINV_'#@#variant 'mat/orb_not_b_b'
0. 'h4/thm/integer/TINT_ADD_ASSOC_'#@#variant 'mat/assoc_Zplus'
0. 'h4/thm/transc/tan_' 'mat/jj'
0. 'h4/thm/extreal/add_lzero_'#@#variant 'mat/Qtimes_Qone_q'
0. 'h4/thm/arithmetic/LESS_MONO_MULT2_' 'mat/lt_times'
0. 'h4/thm/integer/INT_MAX_NUM_' 'mat/eq_times_fa_times'
0. 'h4/thm/complex/COMPLEX_NEG_ADD_'#@#variant 'mat/Qinv_Qtimes\''
0. 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant 'mat/demorgan2'
0. 'h4/thm/real/REAL_NEG_MUL2_' 'mat/minus_S_S'
0. 'h4/thm/arithmetic/ADD_CLAUSES_0' 'mat/Ztimes_Zone_l'
0. 'h4/thm/string_num/n2s_s2n_'#@#variant 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/realax/TREAL_MUL_SYM_'#@#variant 'mat/sym_Ztimes'
0. 'h4/thm/real/REAL_ADD_RINV_'#@#variant 'mat/rtimes_rinv'
0. 'h4/thm/hrat/TRAT_ADD_SYM_EQ_'#@#variant 'mat/sym_plus'
0. 'h4/thm/complex/COMPLEX_MUL_RNEG_'#@#variant 'mat/plus_n_Sm'
0. 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant 'mat/le_times_l'
0. 'h4/thm/gcd/LCM_IS_LEAST_COMMON_MULTIPLE_0' 'mat/le_plus_n_r'
0. 'h4/thm/arithmetic/MULT_LEFT_1_'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/arithmetic/MIN_IDEM_' 'mat/orb_refl'
0. 'h4/thm/arithmetic/MULT_CLAUSES_2'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/frac/FRAC_ADD_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/transc/SQRT_POS_LT_'#@#variant 'mat/lt_SO_smallest_factor'#@#variant
0. 'h4/thm/arithmetic/MULT_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/real/REAL_LT_IADD_' 'mat/le_plus_r'
0. 'h4/thm/complex/COMPLEX_OF_REAL_DIV_'#@#variant 'mat/eq_times_times_fa'
0. 'h4/thm/integer/TINT_LT_TRANS_'#@#variant 'mat/trans_lt'
0. 'h4/thm/integer/INT_NEGNEG_' 'mat/rinv_rinv'
0. 'h4/thm/transc/EXP_POS_LT_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/complex/CONJ_DIV_'#@#variant 'mat/Qinv_Qtimes\''
0. 'h4/thm/numeral/enumeral_mult_0' 'mat/mod_O_n'
0. 'h4/thm/frac/FRAC_ADD_RID_' 'mat/Qtimes_q_Qone'
0. 'h4/thm/transc/SIN_PI_'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/arithmetic/MULT_0' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/arithmetic/ONE_MOD_'#@#variant 'mat/exp_n_O'#@#variant
0. 'h4/thm/DeepSyntax/neginf_def_1' 'mat/Qinv_Qtimes\''
0. 'h4/thm/DeepSyntax/neginf_def_0' 'mat/Qinv_Qtimes\''
0. 'h4/thm/complex/COMPLEX_NEG_RMUL_'#@#variant 'mat/plus_n_Sm'
0. 'h4/thm/hreal/HRAT_RDISTRIB_' 'mat/times_minus_l'
0. 'h4/thm/prim_rec/LESS_SUC_SUC_0' 'mat/lt_n_nth_prime_n'
0. 'h4/thm/rat/RAT_SGN_MUL_' 'mat/times_Qtimes'
0. 'h4/thm/extreal/neg_neg_' 'mat/Qinv_Qinv'
0. 'h4/thm/real/ABS_1_'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/frac/FRAC_MUL_RID_' 'mat/exp_n_SO'#@#variant
0. 'h4/thm/real/REAL_RDISTRIB_' 'mat/times_minus_l'
0. 'h4/thm/numeral/internal_mult_characterisation_0' 'mat/mod_O_n'
0. 'h4/thm/integer/INT_LT_LADD_IMP_' 'mat/le_plus_r'
0. 'h4/thm/extreal/le_radd_imp_' 'mat/le_times_l'
0. 'h4/thm/rat/RAT_SGN_MUL_' 'mat/bool_to_nat_andb'
0. 'h4/thm/realax/REAL_MUL_LID_' 'mat/gcd_O_n'
0. 'h4/thm/bit/ONE_LE_TWOEXP_'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/integer/INT_MOD_1_'#@#variant 'mat/mod_SO'#@#variant
0. 'h4/thm/DeepSyntax/deep_form_distinct_25' 'mat/not_eq_pos_neg'
0. 'h4/thm/DeepSyntax/deep_form_distinct_23' 'mat/not_eq_pos_neg'
0. 'h4/thm/divides/PRIMES_11_' 'mat/not_eq_S'
0. 'h4/thm/DeepSyntax/deep_form_distinct_22' 'mat/not_eq_pos_neg'
0. 'h4/thm/hrat/HRAT_ADD_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/integer/INT_REM_CALCULATE_2' 'mat/notb_notb'
0. 'h4/thm/arithmetic/MIN_0_0' 'mat/Ztimes_z_OZ'
0. 'h4/thm/real/REAL_POS_POS_'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant 'mat/factorize_defactorize'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRL' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/integer/INT_ADD_COMM_' 'mat/sym_plus'
0. 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant 'mat/lt_times_r1'#@#variant
0. 'h4/thm/extreal/extreal_add_def_4'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/hreal/HREAL_MUL_LID_' 'mat/Qtimes_Qone_q'
0. 'h4/thm/hrat/TRAT_MUL_SYM_EQ_'#@#variant 'mat/sym_rtimes'
0. 'h4/thm/HolSmt/r214_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/extreal/max_infty_e3' 'mat/rtimes_r_one'
0. 'h4/thm/integer/INT_LDISTRIB_' 'mat/distr_times_plus'
0. 'h4/thm/DeepSyntax/posinf_def_1' 'mat/Zopp_Zplus'
0. 'h4/thm/arithmetic/MAX_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/DeepSyntax/posinf_def_0' 'mat/Zopp_Zplus'
0. 'h4/thm/complex/COMPLEX_DIV_ADD_'#@#variant 'mat/times_minus_l'
0. 'h4/thm/gcd/LCM_COMM_' 'mat/andbC'
0. 'h4/thm/real/REAL_NEG_0_'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/arithmetic/LEFT_ADD_DISTRIB_' 'mat/eq_gcd_times_times_times_gcd'
0. 'h4/thm/frac/FRAC_ADD_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/rat/RAT_MUL_CALCULATE_' 'mat/eq_times_times_fa'
0. 'h4/thm/integer/INT_ABS_POS_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/rat/RAT_MUL_LID_'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/real/REAL_POS_MONO_' 'mat/lt_to_lt_S_S'
0. 'h4/thm/transc/EXP_POS_LT_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/integer/INT_ADD_RID_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/frac/FRAC_SGN_MUL_' 'mat/eq_times_fa_times'
0. 'h4/thm/real/mult_ints_0' 'mat/rtimes_Zplus'
0. 'h4/thm/ieee/Sign_'#@#variant 'mat/numerator_nat_fact_to_fraction'
0. 'h4/thm/extreal/lt_infty_0'#@#variant 'mat/sieve_sorted'#@#variant
0. 'h4/thm/integer/INT_ADD_CALCULATE_1'#@#variant 'mat/minus_n_O'
0. 'h4/thm/extreal/min_infty_1' 'mat/Ztimes_Zone_l'
0. 'h4/thm/integer/INT_LE_SQUARE_'#@#variant 'mat/id_axiom'
0. 'h4/thm/numeral/enumeral_mult_1' 'mat/Qtimes_q_OQ'
0. 'h4/thm/integerRing/int_rewrites_tLRRRRL' 'mat/eq_plus_Zplus'
0. 'h4/thm/extreal/lt_add2_' 'mat/lt_times'
0. 'h4/thm/arithmetic/MULT_CLAUSES_3'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/arithmetic/EXP_1_e1'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/HolSmt/r215_' 'mat/sym_times'
0. 'h4/thm/extreal/extreal_mul_def_e8' 'mat/times_Qtimes'
0. 'h4/thm/bit/TWOEXP_NOT_ZERO_'#@#variant 'mat/not_eq_O_S'
0. 'h4/thm/transc/COS_BOUNDS_0'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/transc/COS_PI2_'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/integer/INT_SUB_REFL_'#@#variant 'mat/bc_n_n'#@#variant
0. 'h4/thm/numpair/invtri_linverse_' 'mat/pred_Sn'
0. 'h4/thm/hrat/HRAT_ADD_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/integer/INT_MUL_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/integer/INT_SUB_LDISTRIB_' 'mat/distr_times_plus'
0. 'h4/thm/extreal/le_radd_imp_' 'mat/lt_plus_l'
0. 'h4/thm/numeral/onecount_def_0' 'mat/rtimes_one_r'
0. 'h4/thm/numeral_bit/NUMERAL_SFUNPOW_iDUB_1'#@#variant 'mat/Ztimes_z_OZ'
0. 'h4/thm/HolSmt/r234_'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/extreal/extreal_add_def_1' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/extreal/neg_neg_' 'mat/eq_notb_notb_b_b'
0. 'h4/thm/real/REAL_NEGNEG_' 'mat/notb_notb'
0. 'h4/thm/float/REAL_LE_LCANCEL_IMP_'#@#variant 'mat/lt_times_to_lt'#@#variant
0. 'h4/thm/integer/TINT_MUL_SYM_'#@#variant 'mat/orbC'
0. 'h4/thm/numpair/nfst_le_' 'mat/le_smallest_factor_n'
0. 'h4/thm/integer/INT_MUL_REDUCE_1'#@#variant 'mat/mod_O_n'
0. 'h4/thm/arithmetic/DIV_ONE_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/integer/INT_SUB_LZERO_' 'mat/Zsucc_Zplus_pos_O'
0. 'h4/thm/arithmetic/MULT_CLAUSES_1' 'mat/Qtimes_q_OQ'
0. 'h4/thm/integer/INT_MUL_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_IMP_'#@#variant 'mat/lt_exp'#@#variant
0. 'h4/thm/rat/RAT_LEQ_LES_TRANS_' 'mat/le_to_lt_to_lt'
0. 'h4/thm/arithmetic/ADD_COMM_' 'mat/orb_sym'
0. 'h4/thm/extreal/abs_pos_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/realax/REAL_MUL_SYM_' 'mat/sym_rtimes'
0. 'h4/thm/realax/TREAL_LT_REFL_'#@#variant 'mat/Not_lt_n_n'
0. 'h4/thm/toto/TO_qk_numOrd_' 'mat/transitiveb_same_atom'
0. 'h4/thm/extreal/min_le2_imp_' 'mat/lt_times'
0. 'h4/thm/realax/REAL_ADD_SYM_' 'mat/sym_gcd'
0. 'h4/thm/prim_rec/LESS_0_' 'mat/le_SO_fact'#@#variant
0. 'h4/thm/numeral/numeral_distrib_0' 'mat/gcd_O_n'
0. 'h4/thm/real/REAL_SUB_REFL_'#@#variant 'mat/bc_n_n'#@#variant
0. 'h4/thm/numRing/num_rewrites_tLRLRRRRR' 'mat/Qtimes_q_OQ'
0. 'h4/thm/realax/TREAL_LDISTRIB_'#@#variant 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/rat/RAT_SUB_ID_'#@#variant 'mat/minus_n_n'
0. 'h4/thm/complex/COMPLEX_SUB_ADD_'#@#variant 'mat/minus_plus_m_m'
0. 'h4/thm/rat/RAT_SUB_CALCULATE_' 'mat/eq_times_fa_times'
0. 'h4/thm/integer/INT_LDISTRIB_' 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/extreal/neg_neg_' 'mat/opposite_direction_idempotent'
0. 'h4/thm/num/SUC_REP_DEF_0' 'mat/injective_S'
0. 'h4/thm/integer/INT_ADD_REDUCE_3' 'mat/Zopp_Zopp'
0. 'h4/thm/numRing/num_rewrites_tLL' 'mat/Ztimes_Zone_l'
0. 'h4/thm/extreal/le_inv_'#@#variant 'mat/lt_O_smallest_factor'#@#variant
0. 'h4/thm/numeral/numeral_mult_0' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/extreal/min_le2_imp_' 'mat/le_plus'
0. 'h4/thm/extreal/min_comm_' 'mat/orb_sym'
0. 'h4/thm/HolSmt/r214_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/gcd/LCM_1_0'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/complex/COMPLEX_ADD_LDISTRIB_'#@#variant 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/string/string_lt_trans_'#@#variant 'mat/trans_divides'
0. 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant 'mat/lt_times_r1'#@#variant
0. 'h4/thm/frac/FRAC_SUB_ADD_' 'mat/exp_exp_times'
0. 'h4/thm/integer/INT_NEG_0_'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/numeral_bit/NUMERAL_SFUNPOW_iDIV2_1'#@#variant 'mat/Qtimes_q_OQ'
0. 'h4/thm/extreal/extreal_abs_def_1' 'mat/A_SSSO'#@#variant
0. 'h4/thm/arithmetic/DIV_1_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/transc/ATN_TAN_' 'mat/Zpred_Zsucc'
0. 'h4/thm/rat/RAT_SUB_LDISTRIB_' 'mat/distr_times_minus'
0. 'h4/thm/binary_ieee/num2rounding_rounding2num_' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/binary_ieee/zero_lt_twopow_'#@#variant 'mat/sieve_sorted'#@#variant
0. 'h4/thm/real/REAL_MAX_SUB_' 'mat/times_plus_l'
0. 'h4/thm/rat/RAT_LES_TRANS_' 'mat/trans_divides'
0. 'h4/thm/hreal/HREAL_MUL_SYM_' 'mat/sym_Zplus'
0. 'h4/thm/integer/INT_ADD_COMM_' 'mat/sym_Zplus'
0. 'h4/thm/transc/EXP_POS_LT_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/prim_rec/LESS_0_' 'mat/lt_O_fact'
0. 'h4/thm/real/REAL_ABS_POS_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant 'mat/ltS'
0. 'h4/thm/extreal/div_one_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/numpair/nlen_thm_0' 'mat/A_SO'#@#variant
0. 'h4/thm/numeral/numeral_evenodd_1' 'mat/lt_O_fact'#@#variant
0. 'h4/thm/sorting/PERM_SINGLE_SWAP_REFL_' 'mat/incl_A_A'
0. 'h4/thm/transc/ATN_0'#@#variant 'mat/lt_O_nth_prime_n'
0. 'h4/thm/transc/EXP_POS_LT_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/extreal/mul_assoc_' 'mat/assoc_times'
0. 'h4/thm/rat/RAT_ADD_COMM_' 'mat/sym_Ztimes'
0. 'h4/thm/extreal/min_comm_' 'mat/orbC'
0. 'h4/thm/real/ABS_POS_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/prim_rec/PRE_e1' 'mat/Zsucc_Zpred'
0. 'h4/thm/real/REAL_MUL_RID_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/arithmetic/TWO_'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/frac/FRAC_AINV_ONEONE_' 'mat/injective_nth_prime'
0. 'h4/thm/string/CHR_ORD_' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/arithmetic/MOD_PLUS_'#@#variant 'mat/mod_times'#@#variant
0. 'h4/thm/real/REAL_MUL_RID_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/extreal/add_rzero_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/real/REAL_SUB_RDISTRIB_' 'mat/times_exp'
0. 'h4/thm/real/REAL_DIV_ADD_' 'mat/times_plus_l'
0. 'h4/thm/numeral_bit/NUMERAL_iDIV2_0' 'mat/A_SSO'#@#variant
0. 'h4/thm/integer/INT_MUL_RID_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/extreal/min_comm_' 'mat/sym_rtimes'
0. 'h4/thm/realax/TREAL_ADD_WELLDEF_'#@#variant 'mat/lt_times'
0. 'h4/thm/arithmetic/MAX_COMM_' 'mat/orb_sym'
0. 'h4/thm/real/REAL_ADD_LDISTRIB_' 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/gcd/LCM_0_0' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/numpair/tri_LT_I_' 'mat/lt_to_lt_S_S'
0. 'h4/thm/rat/RAT_MUL_COMM_' 'mat/sym_plus'
0. 'h4/thm/numeral/numeral_MAX_0' 'mat/rtimes_one_r'
0. 'h4/thm/realax/TREAL_ADD_ASSOC_'#@#variant 'mat/assoc_plus'
0. 'h4/thm/real/REAL_NEGNEG_' 'mat/Qinv_Qinv'
0. 'h4/thm/real/REAL_MUL_LZERO_'#@#variant 'mat/exp_SO_n'#@#variant
0. 'h4/thm/extreal/extreal_div_eq_' 'mat/eq_times_times_fa'
0. 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant 'mat/le_log'#@#variant
0. 'h4/thm/rat/RAT_AINV_AINV_' 'mat/Qinv_Qinv'
0. 'h4/thm/arithmetic/LESS_MONO_ADD_' 'mat/le_plus_l'
0. 'h4/thm/toto/num_dtOrd_7' 'mat/nat_compare_S_S'
0. 'h4/thm/integer/INT_MUL_REDUCE_0'#@#variant 'mat/Qtimes_q_OQ'
0. 'h4/thm/integer/INT_ADD_COMM_' 'mat/sym_times'
0. 'h4/thm/ieee/ccode_BIJ_0' 'mat/factorize_defactorize'
0. 'h4/thm/arithmetic/MULT_RIGHT_1_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/intto/BIT1_nz_' 'mat/not_eq_O_S'
0. 'h4/thm/extreal/sub_rzero_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/toto/TO_numOrd_' 'mat/symmetricb_eqb'
0. 'h4/thm/gcd/LCM_1_e1'#@#variant 'mat/plus_n_O'
0. 'h4/thm/bit/BIT_B_'#@#variant 'mat/lt_n_nth_prime_n'
0. 'h4/thm/integer/INT_NEGNEG_' 'mat/Zopp_Zopp'
0. 'h4/thm/toto/TO_qk_numOrd_' 'mat/symmetricb_same_atom'
0. 'h4/thm/extreal/extreal_add_def_0' 'mat/rtimes_Zplus'
0. 'h4/thm/complex/MODU_MUL_'#@#variant 'mat/eq_plus_Zplus'
0. 'h4/thm/complex/COMPLEX_MUL_ASSOC_'#@#variant 'mat/andbA'
0. 'h4/thm/realax/REAL_ADD_LID_' 'mat/Ztimes_Zone_l'
0. 'h4/thm/rat/RAT_MUL_COMM_' 'mat/sym_Zplus'
0. 'h4/thm/transc/SQRT_POS_LE_'#@#variant 'mat/lt_O_smallest_factor'#@#variant
0. 'h4/thm/real/REAL_MUL_' 'mat/eq_plus_Zplus'
0. 'h4/thm/real/REAL_POS_INFLATE_' 'mat/le_n_fact_n'
0. 'h4/thm/arithmetic/RIGHT_SUB_DISTRIB_' 'mat/times_plus_l'
0. 'h4/thm/integerRing/int_calculate_12' 'mat/opposite_direction_idempotent'
0. 'h4/thm/real/REAL_ABS_POS_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/hrat/HRAT_ADD_SYM_' 'mat/andb_sym'
0. 'h4/thm/extreal/sqrt_pos_le_'#@#variant 'mat/lt_O_smallest_factor'#@#variant
0. 'h4/thm/real/REAL_ADD_ASSOC_' 'mat/andbA'
0. 'h4/thm/arithmetic/FACT_LESS_' 'mat/lt_O_teta'
0. 'h4/thm/integer/INT_ADD_SYM_' 'mat/andb_sym'
0. 'h4/thm/extreal/min_infty_0' 'mat/Zplus_z_OZ'
0. 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant 'mat/le_exp'#@#variant
0. 'h4/thm/arithmetic/LESS_DIV_EQ_ZERO_' 'mat/eq_minus_n_m_O'
0. 'h4/thm/extreal/neg_neg_' 'mat/finv_finv'
0. 'h4/thm/real/REAL_MIN_LE1_' 'mat/divides_gcd_nm/1'
0. 'h4/thm/ieee/num2roundmode_roundmode2num_' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/patricia/BRANCHING_BIT_SYM_' 'mat/sym_rtimes'
0. 'h4/thm/arithmetic/MULT_COMM_' 'mat/orbC'
0. 'h4/thm/extreal/add_comm_' 'mat/andb_sym'
0. 'h4/thm/arithmetic/EXP_1_e1'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/arithmetic/FACT_LESS_' 'mat/le_SO_fact'#@#variant
0. 'h4/thm/numeral/numeral_MAX_1' 'mat/Qtimes_q_Qone'
0. 'h4/thm/real/REAL_LE_RDIV_'#@#variant 'mat/divides_times_to_divides_div'#@#variant
0. 'h4/thm/arithmetic/ADD_0' 'mat/Ztimes_Zone_l'
0. 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant 'mat/Zsucc_Zpred'
0. 'h4/thm/extreal/add_not_infty_e1' 'mat/times_O_to_O'
0. 'h4/thm/extreal/le_max1_' 'mat/le_plus_n_r'
0. 'h4/thm/real/REAL_LDISTRIB_' 'mat/eq_gcd_times_times_times_gcd'
0. 'h4/thm/extreal/mul_rone_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/extreal/mul_comm_' 'mat/sym_gcd'
0. 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant 'mat/lt_exp'#@#variant
0. 'h4/thm/arithmetic/MAX_0_e1' 'mat/Ztimes_Zone_l'
0. 'h4/thm/prim_rec/LESS_SUC_SUC_0' 'mat/le_n_fact_n'
0. 'h4/thm/rat/RAT_ADD_LID_'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/numeral/numeral_suc_0'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/rat/RAT_LES_IMP_NEQ_' 'mat/eq_to_not_lt'
0. 'h4/thm/float/INFINITY_NOT_NAN_e1' 'mat/not_prime_O'
0. 'h4/thm/gcd/GCD_SYM_' 'mat/andbC'
0. 'h4/thm/extreal/extreal_sub_def_1' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/bit/TWOEXP_MONO2_'#@#variant 'mat/le_S_S'
0. 'h4/thm/integer/INT_SUB_REDUCE_0'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/real/REAL_OF_NUM_ADD_' 'mat/eq_times_fa_times'
0. 'h4/thm/complex/CONJ_DIV_'#@#variant 'mat/Zopp_Zplus'
0. 'h4/thm/integral/LT_0_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/integer/INT_REM_CALCULATE_2' 'mat/eq_notb_notb_b_b'
0. 'h4/thm/extreal/min_refl_' 'mat/orb_refl'
0. 'h4/thm/integer/INT_QUOT_1_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/extreal/max_infty_e3' 'mat/Zplus_z_OZ'
0. 'h4/thm/arithmetic/ADD_CLAUSES_1' 'mat/exp_n_SO'#@#variant
0. 'h4/thm/numeral/numeral_div2_0' 'mat/A_SSO'#@#variant
0. 'h4/thm/string_num/n2s_s2n_'#@#variant 'mat/factorize_defactorize'
0. 'h4/thm/numeral/numeral_distrib_8' 'mat/Zopp_Zplus'
0. 'h4/thm/realax/TREAL_EQ_TRANS_'#@#variant 'mat/trans_lt'
0. 'h4/thm/hreal/HRAT_LT_ADD2_' 'mat/le_times'
0. 'h4/thm/numeral/numeral_distrib_5' 'mat/Zopp_Zplus'
0. 'h4/thm/frac/FRAC_AINV_LMUL_' 'mat/Zplus_Zpred'
0. 'h4/thm/real/REAL_POS_MONO_' 'mat/le_to_le_pred'
0. 'h4/thm/extreal/min_le2_' 'mat/divides_gcd_nm/0'
0. 'h4/thm/rat/RAT_LEQ_TRANS_' 'mat/trans_le'
0. 'h4/thm/numeral/numeral_fact_0'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/arithmetic/MIN_ASSOC_' 'mat/andbA'
0. 'h4/thm/hreal/HREAL_ADD_SYM_' 'mat/sym_rtimes'
0. 'h4/thm/arithmetic/MULT_CLAUSES_e5' 'mat/exp_S'
0. 'h4/thm/ieee/ccode_BIJ_0' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/realax/REAL_ADD_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/extreal/add_infty_tLL' 'mat/times_n_O'
0. 'h4/thm/numeral_bit/NUMERAL_SFUNPOW_iDIV2_1'#@#variant 'mat/times_n_O'
0. 'h4/thm/transc/EXP_LT_1_'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'h4/thm/integer/INT_LE_ADD2_' 'mat/divides_times'
0. 'h4/thm/arithmetic/ADD_e1' 'mat/Zplus_Zsucc'
0. 'h4/thm/numRing/num_rewrites_tLL' 'mat/rtimes_one_r'
0. 'h4/thm/rat/RAT_SUB_RDISTRIB_' 'mat/times_minus_l'
0. 'h4/thm/integer/INT_QUOT_CALCULATE_e4' 'mat/eq_notb_notb_b_b'
0. 'h4/thm/integer/INT_DIV_1_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/extreal/max_comm_' 'mat/andb_sym'
0. 'h4/thm/rat/RAT_MUL_LZERO_'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/numeral_bit/NUMERAL_DIV_2EXP_0' 'mat/times_n_O'
0. 'h4/thm/transc/SIN_PI2_'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/arithmetic/SUB_0_e1' 'mat/Zplus_z_OZ'
0. 'h4/thm/float/REAL_MUL_AC_0' 'mat/andbC'
0. 'h4/thm/real/REAL_ADD_SYM_' 'mat/sym_Zplus'
0. 'h4/thm/patricia/BRANCHING_BIT_SYM_' 'mat/andb_sym'
0. 'h4/thm/realax/REAL_ADD_SYM_' 'mat/sym_times'
0. 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant 'mat/le_plus_l'
0. 'h4/thm/transc/ATN_e2' 'mat/pred_Sn'
0. 'h4/thm/integer/INT_NEG_0_'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/extreal/max_comm_' 'mat/sym_gcd'
0. 'h4/thm/numRing/num_rewrites_tLLRRR'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/gcd/GCD_0L_' 'mat/rtimes_one_r'
0. 'h4/thm/gcd/LCM_1_0'#@#variant 'mat/Qtimes_Qone_q'
0. 'h4/thm/arithmetic/LESS_EQ_LESS_EQ_MONO_' 'mat/lt_times'
0. 'h4/thm/realax/HREAL_RDISTRIB_' 'mat/times_minus_l'
0. 'h4/thm/arithmetic/MULT_CLAUSES_2'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/divides/ONE_LT_PRIME_'#@#variant 'mat/bertrand_n'#@#variant
0. 'h4/thm/arithmetic/ADD_0_' 'mat/div_SO'#@#variant
0. 'h4/thm/integer/INT_MUL_CALCULATE_2' 'mat/plus_n_Sm'
0. 'h4/thm/hrat/TRAT_ADD_WELLDEFINED2_'#@#variant 'mat/divides_times'
0. 'h4/thm/numpair/tri_def_0' 'mat/A_SO'#@#variant
0. 'h4/thm/real/REAL_MIN_LE2_' 'mat/divides_gcd_nm/0'
0. 'h4/thm/numpair/tri_le_' 'mat/le_n_Sn'
0. 'h4/thm/real/REAL_INV1_'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/realax/REAL_LT_IADD_' 'mat/le_times_r'
0. 'h4/thm/real/ABS_LE_' 'mat/le_n_Sn'
0. 'h4/thm/arithmetic/DIV_1_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/rat/RAT_RDISTRIB_' 'mat/times_plus_l'
0. 'h4/thm/divides/ZERO_LT_PRIMES_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/arithmetic/MULT_SYM_' 'mat/sym_Zplus'
0. 'h4/thm/toto/all_cpn_distinct_e3' 'mat/not_eq_true_false'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRL' 'mat/Qtimes_q_Qone'
0. 'h4/thm/hrat/TRAT_ADD_SYM_EQ_'#@#variant 'mat/andbC'
0. 'h4/thm/integerRing/int_calculate_4' 'mat/times_fa_Qtimes'
0. 'h4/thm/integer/INT_SUB_ADD_' 'mat/minus_plus_m_m'
0. 'h4/thm/integerRing/int_calculate_0' 'mat/times_fa_Qtimes'
0. 'h4/thm/real/REAL_MUL_RNEG_' 'mat/plus_n_Sm'
0. 'h4/thm/integerRing/int_rewrites_tLRRRRL' 'mat/eq_times_fa_times'
0. 'h4/thm/ieee/float_tybij_0'#@#variant 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/integer/INT_ADD_CALCULATE_2' 'mat/eq_plus_Zplus'
0. 'h4/thm/divides/PRIMES_11_' 'mat/inj_S'
0. 'h4/thm/numRing/num_rewrites_tLRL' 'mat/rtimes_r_one'
0. 'h4/thm/real/REAL_POS_INFLATE_' 'mat/le_n_Sn'
0. 'h4/thm/hreal/HRAT_MUL_RID_' 'mat/Qtimes_q_Qone'
0. 'h4/thm/extreal/abs_pos_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/integer/INT_ADD_RID_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/float/ZERO_NOT_NAN_0' 'mat/not_prime_SO'#@#variant
0. 'h4/thm/hrat/HRAT_ADD_SYM_' 'mat/sym_gcd'
0. 'h4/thm/extreal/add_rzero_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/float/REAL_MUL_AC_0' 'mat/orb_sym'
0. 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant 'mat/lt_to_lt_S_S'
0. 'h4/thm/integer/INT_ABS_POS_'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/llist/LCONS_NOT_NIL_0' 'mat/nil_cons'
0. 'h4/thm/extreal/add_infty_tLL' 'mat/Qtimes_q_OQ'
0. 'h4/thm/extreal/extreal_inv_def_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/extreal/le_add2_' 'mat/divides_times'
0. 'h4/thm/arithmetic/ADD_CLAUSES_1' 'mat/Qtimes_q_Qone'
0. 'h4/thm/transc/EXP_POS_LE_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/extreal/le_add2_' 'mat/le_plus'
0. 'h4/thm/extreal/max_infty_e3' 'mat/Ztimes_Zone_r'
0. 'h4/thm/arithmetic/ZERO_MOD_' 'mat/exp_n_O'
0. 'h4/thm/integer/TINT_MUL_SYM_'#@#variant 'mat/sym_rtimes'
0. 'h4/thm/numeral/numeral_MAX_0' 'mat/Qtimes_Qone_q'
0. 'h4/thm/frac/FRAC_ADD_COMM_' 'mat/sym_rtimes'
0. 'h4/thm/float/TWO_EXP_GE_1_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/prim_rec/LESS_MONO_' 'mat/le_to_le_pred'
0. 'h4/thm/frac/FRAC_MUL_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/realax/HREAL_LT_ADDL_' 'mat/le_plus_n_r'
0. 'h4/thm/hrat/TRAT_MUL_SYM_EQ_'#@#variant 'mat/andbC'
0. 'h4/thm/integer/INT_ADD_LID_'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/arithmetic/MULT_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/arithmetic/MULT_CLAUSES_0' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/integer/INT_QUOT_1_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant 'mat/Zplus_Zsucc'
0. 'h4/thm/gcd/GCD_SYM_' 'mat/sym_Ztimes'
0. 'h4/thm/real/add_ints_0' 'mat/eq_times_times_fa'
0. 'h4/thm/complex/COMPLEX_OF_NUM_MUL_'#@#variant 'mat/bool_to_nat_andb'
0. 'h4/thm/arithmetic/MAX_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/integer/INT_MOD_CALCULATE_2' 'mat/opposite_direction_idempotent'
0. 'h4/thm/numeral/enumeral_mult_0' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/extreal/le_infty_tRL' 'mat/divides_n_O'
0. 'h4/thm/hreal/HRAT_LT_TRANS_' 'mat/trans_le'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant 'mat/mod_SO'#@#variant
0. 'h4/thm/extreal/abs_pos_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/util_prob/logr_1_'#@#variant 'mat/exp_n_O0'#@#variant
0. 'h4/thm/real/REAL_IMP_MIN_LE2_' 'mat/lt_times'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRRL' 'mat/Qinv_Qtimes\''
0. 'h4/thm/gcd/LCM_COMM_' 'mat/orb_sym'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRL' 'mat/A_SSO'#@#variant
0. 'h4/thm/extreal/mul_lzero_'#@#variant 'mat/exp_SO_n'#@#variant
0. 'h4/thm/numeral/internal_mult_characterisation_1' 'mat/Ztimes_z_OZ'
0. 'h4/thm/real/REAL_INV_INV_' 'mat/rinv_rinv'
0. 'h4/thm/realax/REAL_ADD_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant 'mat/Zplus_Zsucc'
0. 'h4/thm/frac/FRAC_ADD_RID_' 'mat/exp_n_SO'#@#variant
0. 'h4/thm/arithmetic/ABS_DIFF_COMM_' 'mat/andb_sym'
0. 'h4/thm/frac/FRAC_AINV_ONEONE_' 'mat/injective_S'
0. 'h4/thm/hreal/HREAL_MUL_SYM_' 'mat/andb_sym'
0. 'h4/thm/rat/RAT_MUL_RZERO_'#@#variant 'mat/Qtimes_q_OQ'
0. 'h4/thm/extreal/abs_pos_'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/arithmetic/MIN_0_0' 'mat/Qtimes_q_OQ'
0. 'h4/thm/numeral/numeral_div2_0' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/extreal/extreal_of_num_def_' 'mat/numerator_nat_fact_to_fraction'
0. 'h4/thm/hrat/HRAT_MUL_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/rat/RAT_MUL_RID_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/real/POW_2_LE1_'#@#variant 'mat/sieve_sorted'#@#variant
0. 'h4/thm/real/REAL_DOUBLE_'#@#variant 'mat/times_SSO_n'#@#variant
0. 'h4/thm/integer/INT_MUL_CALCULATE_1' 'mat/Zplus_Zsucc'
0. 'h4/thm/real/REAL_NEG_LMUL_' 'mat/Zplus_Zpred'
0. 'h4/thm/numeral/numeral_evenodd_e5' 'mat/prime_nth_prime'
0. 'h4/thm/extreal/extreal_sub_def_0' 'mat/eq_times_times_fa'
0. 'h4/thm/divides/DIVIDES_TRANS_' 'mat/trans_le'
0. 'h4/thm/HolSmt/r217_' 'mat/assoc_times'
0. 'h4/thm/arithmetic/LESS_TRANS_' 'mat/trans_divides'
0. 'h4/thm/integer/INT_LT_TRANS_' 'mat/trans_lt'
0. 'h4/thm/extreal/le_trans_' 'mat/trans_le'
0. 'h4/thm/arithmetic/ABS_DIFF_SYM_' 'mat/sym_times'
0. 'h4/thm/arithmetic/ADD_SYM_' 'mat/sym_rtimes'
0. 'h4/thm/numeral/numeral_distrib_6' 'mat/mod_O_n'
0. 'h4/thm/rat/RAT_LEQ_REF_' 'mat/divides_n_n'
0. 'h4/thm/numeral/numeral_distrib_3' 'mat/mod_O_n'
0. 'h4/thm/extreal/add_comm_' 'mat/orb_sym'
0. 'h4/thm/complex/COMPLEX_MUL_COMM_'#@#variant 'mat/sym_plus'
0. 'h4/thm/integer/INT_MUL_LID_'#@#variant 'mat/Qtimes_Qone_q'
0. 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant 'mat/Zpred_Zsucc'
0. 'h4/thm/logroot/ROOT_LE_MONO_' 'mat/le_exp'
0. 'h4/thm/frac/FRAC_MUL_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/integer/INT_MUL_REDUCE_1'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/arithmetic/LESS_EQ_ANTISYM_' 'mat/le_to_not_lt'
0. 'h4/thm/binary_ieee/zero_neq_twopow_'#@#variant 'mat/not_eq_numerator_nfa_zero'
0. 'h4/thm/complex/COMPLEX_OF_REAL_MUL_'#@#variant 'mat/times_Qtimes'
0. 'h4/thm/frac/frac_tybij_0'#@#variant 'mat/factorize_defactorize'
0. 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant 'mat/Zpred_Zsucc'
0. 'h4/thm/numeral/numeral_add_0'#@#variant 'mat/Zsucc_Zpred'
0. 'h4/thm/arithmetic/EVEN_DOUBLE_'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/real/REAL_LT_TRANS_' 'mat/trans_divides'
0. 'h4/thm/gcd/GCD_0R_' 'mat/Zplus_z_OZ'
0. 'h4/thm/realax/real_of_hreal_'#@#variant 'mat/numerator_nat_fact_to_fraction'
0. 'h4/thm/real/REAL_LE_LDIV_'#@#variant 'mat/le_times_to_le_div2'#@#variant
0. 'h4/thm/numeral/numeral_evenodd_1' 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/hrat/TRAT_ADD_WELLDEFINED2_'#@#variant 'mat/le_plus'
0. 'h4/thm/extreal/max_le2_imp_' 'mat/divides_times'
0. 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant 'mat/le_log'#@#variant
0. 'h4/thm/numeral/numeral_distrib_7' 'mat/div_SO'#@#variant
0. 'h4/thm/integer/INT_ADD_LINV_'#@#variant 'mat/minus_Sn_n'#@#variant
0. 'h4/thm/arithmetic/MULT_CLAUSES_1' 'mat/Ztimes_z_OZ'
0. 'h4/thm/arithmetic/LESS_EQ_TRANS_' 'mat/trans_lt'
0. 'h4/thm/numeral/numeral_distrib_1' 'mat/div_SO'#@#variant
0. 'h4/thm/real/REAL_MIN_ADD_' 'mat/times_minus_l'
0. 'h4/thm/toto/cpn_BIJ_0' 'mat/defactorize_factorize'
0. 'h4/thm/numeral/numeral_distrib_12' 'mat/Qinv_Qtimes\''
0. 'h4/thm/transc/TAN_0_'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/arithmetic/DIV_ONE_' 'mat/exp_n_SO'
0. 'h4/thm/arithmetic/ADD_ASSOC_' 'mat/andbA'
0. 'h4/thm/extreal/le_radd_imp_' 'mat/le_plus_l'
0. 'h4/thm/real/REAL_NEGNEG_' 'mat/opposite_direction_idempotent'
0. 'h4/thm/extreal/add_comm_' 'mat/orbC'
0. 'h4/thm/numeral/numeral_evenodd_e5' 'mat/lt_O_teta'#@#variant
0. 'h4/thm/integer/TINT_ADD_SYM_'#@#variant 'mat/andb_sym'
0. 'h4/thm/numRing/num_rewrites_tLRL' 'mat/times_n_SO'#@#variant
0. 'h4/thm/integer/INT_MAX_NUM_' 'mat/bool_to_nat_andb'
0. 'h4/thm/frac/FRAC_SUB_ADD_' 'mat/eq_minus_minus_minus_plus'
0. 'h4/thm/extreal/add_comm_' 'mat/sym_rtimes'
0. 'h4/thm/hrat/HRAT_MUL_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/integer/INT_LE_ADD2_' 'mat/lt_times'
0. 'h4/thm/transc/COS_BOUNDS_0'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/real/ABS_LE_' 'mat/le_n_fact_n'
0. 'h4/thm/real/REAL_MUL_RZERO_'#@#variant 'mat/Ztimes_z_OZ'
0. 'h4/thm/numeral/numeral_evenodd_e5' 'mat/lt_O_S'#@#variant
0. 'h4/thm/arithmetic/LESS_MONO_MULT_' 'mat/lt_plus_l'
0. 'h4/thm/numeral/numeral_MAX_1' 'mat/plus_n_O'
0. 'h4/thm/frac/FRAC_MUL_COMM_' 'mat/andbC'
0. 'h4/thm/numpair/nsnd_le_' 'mat/le_sqrt_n_n'
0. 'h4/thm/integer/INT_10_' 'mat/not_eq_true_false'
0. 'h4/thm/ieee/num2roundmode_roundmode2num_' 'mat/defactorize_factorize'
0. 'h4/thm/extreal/add_assoc_' 'mat/assoc_Zplus'
0. 'h4/thm/arithmetic/MAX_COMM_' 'mat/orbC'
0. 'h4/thm/numeral_bit/MOD_2EXP_0' 'mat/Qtimes_q_OQ'
0. 'h4/thm/numeral/exactlog_def_0' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/gcd/GCD_1_e1'#@#variant 'mat/times_n_O'
0. 'h4/thm/integer/INT_ADD_COMM_' 'mat/andb_sym'
0. 'h4/thm/arithmetic/FACT_LESS_' 'mat/lt_O_S'
0. 'h4/thm/float/INFINITY_NOT_NAN_0' 'mat/not_prime_O'
0. 'h4/thm/integer/INT_ABS_POS_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/complex/COMPLEX_MUL_ASSOC_'#@#variant 'mat/assoc_plus'
0. 'h4/thm/arithmetic/MOD_ONE_'#@#variant 'mat/exp_n_O0'#@#variant
0. 'h4/thm/complex/COMPLEX_MUL_COMM_'#@#variant 'mat/orb_sym'
0. 'h4/thm/transc/ONE_RPOW_'#@#variant 'mat/exp_n_O'#@#variant
0. 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL' 'mat/eq_notb_notb_b_b'
0. 'h4/thm/bit/ONE_LE_TWOEXP_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/real/ABS_0_'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/extreal/extreal_sub_def_1' 'mat/mod_O_n'
0. 'h4/thm/realax/TREAL_ADD_SYM_'#@#variant 'mat/sym_Ztimes'
0. 'h4/thm/realax/HREAL_LT_ADD2_' 'mat/le_plus'
0. 'h4/thm/numRing/num_rewrites_tLRL' 'mat/exp_n_SO'#@#variant
0. 'h4/thm/rat/RAT_MUL_RID_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/integer/INT_MUL_SYM_' 'mat/andbC'
0. 'h4/thm/divides/ZERO_LT_PRIMES_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/integer/INT_MUL_CALCULATE_0' 'mat/eq_plus_Zplus'
0. 'h4/thm/arithmetic/LESS_MONO_MULT2_' 'mat/divides_times'
0. 'h4/thm/real/REAL_POS_POS_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/arithmetic/LESS_TRANS_' 'mat/trans_le'
0. 'h4/thm/transc/COS_PI2_'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/integer/INT_MOD_CALCULATE_2' 'mat/Zopp_Zopp'
0. 'h4/thm/arithmetic/ABS_DIFF_COMM_' 'mat/sym_gcd'
0. 'h4/thm/realax/REAL_ADD_SYM_' 'mat/sym_rtimes'
0. 'h4/thm/extreal/extreal_not_infty_e1' 'mat/not_eq_OZ_pos'
0. 'h4/thm/real/REAL_ADD_COMM_' 'mat/andb_sym'
0. 'h4/thm/extreal/mul_lneg_' 'mat/Zplus_Zpred'
0. 'h4/thm/frac/FRAC_SGN_MUL2_' 'mat/times_Qtimes'
0. 'h4/thm/frac/FRAC_MUL_COMM_' 'mat/orb_sym'
0. 'h4/thm/integer/INT_LT_ADD2_' 'mat/lt_plus'
0. 'h4/thm/binary_ieee/zero_neq_twopow_'#@#variant 'mat/not_eq_OZ_neg'
0. 'h4/thm/arithmetic/SUB_ADD_' 'mat/divides_to_div'
0. 'h4/thm/binary_ieee/float_compare_BIJ_0' 'mat/factorize_defactorize'
0. 'h4/thm/HolSmt/r215_' 'mat/sym_gcd'
0. 'h4/thm/complex/COMPLEX_OF_REAL_DIV_'#@#variant 'mat/eq_plus_Zplus'
0. 'h4/thm/arithmetic/MIN_COMM_' 'mat/andbC'
0. 'h4/thm/arithmetic/DIV_ONE_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/real/REAL_NEG_NEG_' 'mat/rinv_rinv'
0. 'h4/thm/string_num/s2n_n2s_'#@#variant 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant 'mat/defactorize_factorize'
0. 'h4/thm/real/add_ints_0' 'mat/times_fa_Qtimes'
0. 'h4/thm/llist/LAPPEND_e1' 'mat/cons_append_commute'
0. 'h4/thm/complex/COMPLEX_OF_NUM_ADD_'#@#variant 'mat/bool_to_nat_andb'
0. 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant 'mat/lt_times_l1'#@#variant
0. 'h4/thm/integer/INT_POS_'#@#variant 'mat/sieve_sorted'#@#variant
0. 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant 'mat/le_times_l'
0. 'h4/thm/float/EXP_GT_ZERO_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/integer/INT_ADD_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/numeral/numeral_distrib_7' 'mat/Qtimes_q_Qone'
0. 'h4/thm/extreal/extreal_add_def_4'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/complex/COMPLEX_OF_REAL_SUB_'#@#variant 'mat/eq_times_fa_times'
0. 'h4/thm/real/REAL_MAX_SUB_' 'mat/times_minus_l'
0. 'h4/thm/HolSmt/r217_' 'mat/andbA'
0. 'h4/thm/numeral/numeral_distrib_1' 'mat/Qtimes_q_Qone'
0. 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant 'mat/lt_times_l1'#@#variant
0. 'h4/thm/extreal/extreal_not_infty_e1' 'mat/not_eq_OZ_neg'
0. 'h4/thm/arithmetic/DIV_LE_MONOTONE_'#@#variant 'mat/lt_exp1'#@#variant
0. 'h4/thm/float/REAL_LE_RCANCEL_IMP_'#@#variant 'mat/le_exp_to_le1'#@#variant
0. 'h4/thm/real/REAL_MUL_SYM_' 'mat/sym_Ztimes'
0. 'h4/thm/real/ABS_1_'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/arithmetic/ABS_DIFF_COMM_' 'mat/orbC'
0. 'h4/thm/real/REAL_DIV_REFL2_'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/HolSmt/r080_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/extreal/mul_lzero_'#@#variant 'mat/mod_O_n'
0. 'h4/thm/integer/INT_ADD_' 'mat/eq_times_fa_times'
0. 'h4/thm/divides/ONE_LT_PRIMES_'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/bit/ONE_LE_TWOEXP_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/sptree/lrnext_thm_2'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/float/TWO_EXP_GE_1_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant 'mat/Qinv_Qinv'
0. 'h4/thm/integer/INT_MUL_RID_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant 'mat/le_O_n'
0. 'h4/thm/integer/INT_MUL_SYM_' 'mat/sym_plus'
0. 'h4/thm/real/REAL_SUB_RZERO_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/real/REAL_ADD_' 'mat/rtimes_Zplus'
0. 'h4/thm/real/REAL_POS_POS_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/gcd/gcd_def_compute_0' 'mat/rtimes_one_r'
0. 'h4/thm/arithmetic/MAX_0_0' 'mat/rtimes_r_one'
0. 'h4/thm/divides/primePRIMES_' 'mat/lt_O_S'#@#variant
0. 'h4/thm/rat/RAT_ADD_LID_'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/real/REAL_LT_IMP_LE_' 'mat/lt_to_le'
0. 'h4/thm/arithmetic/MULT_RIGHT_1_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/transc/TAN_0_'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/numRing/num_rewrites_tLLRRRRR' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/rat/RAT_AINV_AINV_' 'mat/notb_notb'
0. 'h4/thm/HolSmt/r081_' 'mat/sym_times'
0. 'h4/thm/integer/INT_SUB_REDUCE_0'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/complex/COMPLEX_OF_REAL_ADD_'#@#variant 'mat/times_Qtimes'
0. 'h4/thm/numeral/numeral_distrib_6' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/numeral/numeral_distrib_11'#@#variant 'mat/mod_SO'#@#variant
0. 'h4/thm/numeral/numeral_distrib_3' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/gcd/GCD_0R_' 'mat/plus_n_O'
0. 'h4/thm/real/REAL_OVER1_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/arithmetic/MULT_SYM_' 'mat/andb_sym'
0. 'h4/thm/realax/HREAL_LT_NE_' 'mat/lt_to_not_eq'
0. 'h4/thm/float/REAL_LE_RCANCEL_IMP_'#@#variant 'mat/lt_times_n_to_lt'#@#variant
0. 'h4/thm/util_prob/ONE_MINUS_HALF_'#@#variant 'mat/A_SO'
0. 'h4/thm/gcd/gcd_def_0' 'mat/Ztimes_Zone_l'
0. 'h4/thm/integer/TINT_MUL_ASSOC_'#@#variant 'mat/andb_assoc'
0. 'h4/thm/realax/REAL_ADD_ASSOC_' 'mat/andbA'
0. 'h4/thm/real/REAL_LT_IADD_' 'mat/lt_plus_r'
0. 'h4/thm/gcd/GCD_SYM_' 'mat/orb_sym'
0. 'h4/thm/hrat/HRAT_ADD_SYM_' 'mat/sym_Zplus'
0. 'h4/thm/rat/RAT_SUB_RID_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/integer/INT_LET_TOTAL_' 'mat/not_lt_to_le'
0. 'h4/thm/hreal/HRAT_INV_MUL_' 'mat/Zopp_Zplus'
0. 'h4/thm/real/REAL_LE_LADD_IMP_' 'mat/le_times_r'
0. 'h4/thm/rat/RAT_SUB_CALCULATE_' 'mat/eq_plus_Zplus'
0. 'h4/thm/integer/INT_MUL_COMM_' 'mat/orbC'
0. 'h4/thm/numpair/invtri_linverse_' 'mat/Zsucc_Zpred'
0. 'h4/thm/arithmetic/MULT_CLAUSES_0' 'mat/mod_O_n'
0. 'h4/thm/realax/REAL_LT_TRANS_' 'mat/trans_le'
0. 'h4/thm/real/REAL_ADD_' 'mat/eq_times_times_fa'
0. 'h4/thm/transc/ATN_TAN_' 'mat/Zsucc_Zpred'
0. 'h4/thm/numpair/tri_def_compute_0' 'mat/A_SO'#@#variant
0. 'h4/thm/bit/LESS_MULT_MONO2_' 'mat/le_plus'
0. 'h4/thm/numeral/numeral_suc_0'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/divides/ONE_LT_PRIME_'#@#variant 'mat/prime_to_lt_O'#@#variant
0. 'h4/thm/extreal/sub_rzero_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/extreal/le_lmul_imp_'#@#variant 'mat/le_log'#@#variant
0. 'h4/thm/complex/COMPLEX_ADD_LDISTRIB_'#@#variant 'mat/distr_times_plus'
0. 'h4/thm/numRing/num_rewrites_tLLRRRRR' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/real/REAL_MUL_SYM_' 'mat/sym_rtimes'
0. 'h4/thm/rat/RAT_SUB_CALCULATE_' 'mat/bool_to_nat_andb'
0. 'h4/thm/integer/INT_MUL_SYM_' 'mat/sym_times'
0. 'h4/thm/num/num_ISO_DEF_0' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/float/REAL_LT_LCANCEL_IMP_'#@#variant 'mat/lt_times_n_to_lt_r'#@#variant
0. 'h4/thm/integer/INT_ADD_REDUCE_1'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/integer/TINT_ADD_SYM_'#@#variant 'mat/orbC'
0. 'h4/thm/realax/REAL_MUL_SYM_' 'mat/andb_sym'
0. 'h4/thm/rat/RAT_ADD_NUM_CALCULATE_0' 'mat/times_fa_Qtimes'
0. 'h4/thm/float/REAL_MUL_AC_0' 'mat/orbC'
0. 'h4/thm/hrat/TRAT_MUL_WELLDEFINED2_'#@#variant 'mat/le_plus'
0. 'h4/thm/arithmetic/ZERO_DIV_' 'mat/exp_n_O'
0. 'h4/thm/hrat/HRAT_MUL_LID_' 'mat/Qtimes_Qone_q'
0. 'h4/thm/complex/MODU_MUL_'#@#variant 'mat/bool_to_nat_andb'
0. 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant 'mat/le_pred'
0. 'h4/thm/intExtension/INT_NOT0_MUL_'#@#variant 'mat/times_O_to_O'
0. 'h4/thm/realax/TREAL_MUL_SYM_'#@#variant 'mat/sym_times'
0. 'h4/thm/toto/cpn_BIJ_0' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/integer/INT_MUL_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/frac/FRAC_MUL_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/integer/INT_ADD_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/divides/ZERO_LT_PRIMES_' 'mat/lt_O_S'
0. 'h4/thm/arithmetic/MOD_PLUS_' 'mat/mod_times'
0. 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant 'mat/pred_Sn'
0. 'h4/thm/numeral/numeral_evenodd_3' 'mat/not_prime_O'
0. 'h4/thm/extreal/inv_one_'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/real/REAL_MUL_RID_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/extreal/extreal_not_infty_e1' 'mat/not_eq_numerator_nfa_zero'
0. 'h4/thm/extreal/extreal_div_eq_' 'mat/times_Qtimes'
0. 'h4/thm/arithmetic/MIN_COMM_' 'mat/sym_times'
0. 'h4/thm/integer/INT_MUL_CALCULATE_e3' 'mat/Qinv_Qinv'
0. 'h4/thm/realax/REAL_ADD_LID_' 'mat/Qtimes_Qone_q'
0. 'h4/thm/integer/INT_RDISTRIB_' 'mat/times_plus_l'
0. 'h4/thm/integer/INT_MIN_NUM_' 'mat/times_Qtimes'
0. 'h4/thm/real/REAL_MUL_SYM_' 'mat/andbC'
0. 'h4/thm/extreal/neg_mul2_' 'mat/minus_S_S'
0. 'h4/thm/string/CHR_ORD_' 'mat/factorize_defactorize'
0. 'h4/thm/int_bitwise/int_not_not_' 'mat/eq_notb_notb_b_b'
0. 'h4/thm/extreal/extreal_sub_def_1' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/real/REAL_DIV_LZERO_'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/realax/REAL_ADD_LINV_' 'mat/orb_not_b_b'
0. 'h4/thm/arithmetic/MULT_CLAUSES_3'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/complex/COMPLEX_MUL_ASSOC_'#@#variant 'mat/assoc_Zplus'
0. 'h4/thm/HolSmt/r215_' 'mat/andbC'
0. 'h4/thm/integer/INT_SUB_LDISTRIB_' 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/logroot/LOG_BASE_'#@#variant 'mat/div_n_n'#@#variant
0. 'h4/thm/bit/ONE_LE_TWOEXP_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/real/REAL_DIV_REFL2_'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/arithmetic/MAX_0_0' 'mat/times_n_SO'#@#variant
0. 'h4/thm/extreal/inv_1over_'#@#variant 'mat/eq_B_B1'
0. 'h4/thm/arithmetic/MAX_0_0' 'mat/Qtimes_q_Qone'
0. 'h4/thm/rat/RAT_SUB_CALCULATE_' 'mat/times_Qtimes'
0. 'h4/thm/bit/ONE_LE_TWOEXP_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant 'mat/divides_plus'
0. 'h4/thm/real/REAL_POS_POS_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/rat/RAT_LEQ_ANTISYM_' 'mat/antisym_le'
0. 'h4/thm/rat/RAT_AINV_ONE_ONE_' 'mat/injective_nth_prime'
0. 'h4/thm/complex/COMPLEX_MUL_ASSOC_'#@#variant 'mat/assoc_times'
0. 'h4/thm/realax/REAL_MUL_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/transc/COS_BOUNDS_0'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/hrat/HRAT_MUL_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/real/REAL_POS_POS_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/prim_rec/LESS_0_' 'mat/lt_O_nth_prime_n'
0. 'h4/thm/extreal/min_le1_' 'mat/le_minus_m'
0. 'h4/thm/float/TWO_EXP_GE_1_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/complex/COMPLEX_ADD_COMM_'#@#variant 'mat/sym_Zplus'
0. 'h4/thm/HolSmt/r127_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/integer/INT_SUB_RZERO_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/integer/INT_MUL_SYM_' 'mat/orbC'
0. 'h4/thm/arithmetic/DIV_ONE_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/integerRing/int_calculate_e13'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/real/REAL_MAX_REFL_' 'mat/gcd_n_n'
0. 'h4/thm/numRing/num_rewrites_tLLRR'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/extreal/lt_sub_imp_' 'mat/le_plus_to_minus_r'
0. 'h4/thm/realax/REAL_LDISTRIB_' 'mat/distr_times_minus'
0. 'h4/thm/real/REAL_ADD_RID_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/real/REAL_LT_IADD_' 'mat/le_times_r'
0. 'h4/thm/integer/TINT_MUL_SYM_'#@#variant 'mat/andbC'
0. 'h4/thm/real/REAL_ADD_RID_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/rat/RAT_SUB_RDISTRIB_' 'mat/times_exp'
0. 'h4/thm/integer/INT_MUL_COMM_' 'mat/sym_rtimes'
0. 'h4/thm/integer/INT_ADD_COMM_' 'mat/sym_rtimes'
0. 'h4/thm/real/REAL_MUL_COMM_' 'mat/sym_rtimes'
0. 'h4/thm/patricia/BRANCHING_BIT_SYM_' 'mat/sym_gcd'
0. 'h4/thm/hrat/TRAT_MUL_SYM_EQ_'#@#variant 'mat/sym_Ztimes'
0. 'h4/thm/numeral_bit/NUMERAL_TIMES_2EXP_0' 'mat/times_n_O'
0. 'h4/thm/real/REAL_MUL_SYM_' 'mat/sym_times'
0. 'h4/thm/real/REAL_MIN_LE1_' 'mat/le_minus_m'
0. 'h4/thm/gcd/GCD_SYM_' 'mat/sym_Zplus'
0. 'h4/thm/arithmetic/FACT_LESS_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/gcd/LCM_COMM_' 'mat/orbC'
0. 'h4/thm/arithmetic/EXP_1_0'#@#variant 'mat/mod_O_n'
0. 'h4/thm/frac/FRAC_SGN_MUL2_' 'mat/eq_times_fa_times'
0. 'h4/thm/real/REAL_LE_ADD2_' 'mat/lt_plus'
0. 'h4/thm/extreal/lt_trans_' 'mat/trans_le'
0. 'h4/thm/extreal/sqrt_mono_le_'#@#variant 'mat/lt_pred'#@#variant
0. 'h4/thm/integerRing/int_rewrites_tLRRRRL' 'mat/times_Qtimes'
0. 'h4/thm/arithmetic/DIV_1_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/rat/RAT_LES_TRANS_' 'mat/trans_le'
0. 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL' 'mat/Zopp_Zopp'
0. 'h4/thm/numeral_bit/NUMERAL_SFUNPOW_iDUB_0'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/extreal/extreal_add_def_4'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/numRing/num_rewrites_tLLRRRRR' 'mat/mod_O_n'
0. 'h4/thm/rat/RAT_ADD_COMM_' 'mat/andb_sym'
0. 'h4/thm/real/REAL_INV_1OVER_'#@#variant 'mat/eq_A_A\''
0. 'h4/thm/HolSmt/r214_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/extreal/extreal_ainv_def_1' 'mat/B_SSSO'#@#variant
0. 'h4/thm/extreal/extreal_ainv_def_0' 'mat/B_SSSO'#@#variant
0. 'h4/thm/HolSmt/r213_'#@#variant 'mat/Qtimes_Qone_q'
0. 'h4/thm/rat/RAT_MUL_COMM_' 'mat/sym_gcd'
0. 'h4/thm/gcd/GCD_1_0'#@#variant 'mat/exp_SO_n'#@#variant
0. 'h4/thm/prim_rec/LESS_0_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/util_prob/lg_2_'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/real/REAL_NEG_NEG_' 'mat/eq_notb_notb_b_b'
0. 'h4/thm/extreal/mul_comm_' 'mat/andbC'
0. 'h4/thm/arithmetic/LESS_SUB_ADD_LESS_' 'mat/le_plus_to_minus'
0. 'h4/thm/sptree/lrnext_thm_2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/arithmetic/ADD_COMM_' 'mat/sym_gcd'
0. 'h4/thm/integer/INT_ADD_CALCULATE_1'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/extreal/min_infty_0' 'mat/Qtimes_q_Qone'
0. 'h4/thm/integer/INT_MUL_SYM_' 'mat/sym_Ztimes'
0. 'h4/thm/bit/TWOEXP_MONO_'#@#variant 'mat/le_to_le_pred'
0. 'h4/thm/gcd/gcd_def_compute_0' 'mat/Qtimes_Qone_q'
0. 'h4/thm/toto/num_dt_distinct_1' 'mat/not_eq_O_S'
0. 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant 'mat/eq_A_A\''
0. 'h4/thm/toto/num_dt_distinct_0' 'mat/not_eq_O_S'
0. 'h4/thm/real/REAL_MIN_SUB_' 'mat/times_exp'
0. 'h4/thm/HolSmt/r233_'#@#variant 'mat/exp_SO_n'#@#variant
0. 'h4/thm/integer/INT_ABS_MUL_' 'mat/Zopp_Zplus'
0. 'h4/thm/arithmetic/EXP_BASE_MULT_' 'mat/times_plus_l'
0. 'h4/thm/transc/LN_EXP_' 'mat/Zpred_Zsucc'
0. 'h4/thm/float/REAL_MUL_AC_0' 'mat/sym_times'
0. 'h4/thm/transc/EXP_POS_LT_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/num/ZERO_REP_DEF_' 'mat/not_eq_O_S'
0. 'h4/thm/extreal/num_not_infty_0' 'mat/not_eq_numerator_nfa_zero'
0. 'h4/thm/extreal/max_infty_e3' 'mat/div_SO'#@#variant
0. 'h4/thm/gcd/LCM_1_0'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/arithmetic/MIN_COMM_' 'mat/sym_Ztimes'
0. 'h4/thm/hreal/HREAL_LDISTRIB_' 'mat/eq_gcd_times_times_times_gcd'
0. 'h4/thm/numeral/numeral_distrib_11'#@#variant 'mat/bc_n_O'#@#variant
0. 'h4/thm/extreal/extreal_exp_def_e2'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/real/REAL_OF_NUM_ADD_' 'mat/eq_plus_Zplus'
0. 'h4/thm/gcd/gcd_def_0' 'mat/Qtimes_Qone_q'
0. 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/extreal/extreal_div_eq_' 'mat/times_fa_Qtimes'
0. 'h4/thm/HolSmt/r215_' 'mat/sym_Ztimes'
0. 'h4/thm/complex/COMPLEX_ADD_COMM_'#@#variant 'mat/sym_times'
0. 'h4/thm/transc/ATN_0'#@#variant 'mat/lt_O_fact'
0. 'h4/thm/float/REAL_MUL_AC_0' 'mat/sym_plus'
0. 'h4/thm/gcd/LCM_0_e1' 'mat/times_n_O'
0. 'h4/thm/realax/REAL_MUL_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/integer/INT_DIV_1_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/integer/TINT_MUL_ASSOC_'#@#variant 'mat/andbA'
0. 'h4/thm/integer/INT_ADD_REDUCE_3' 'mat/Qinv_Qinv'
0. 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant 'mat/le_S_S'
0. 'h4/thm/frac/FRAC_ADD_COMM_' 'mat/sym_Zplus'
0. 'h4/thm/extreal/extreal_mul_def_e8' 'mat/rtimes_Zplus'
0. 'h4/thm/HolSmt/r217_' 'mat/assoc_Ztimes'
0. 'h4/thm/transc/SIN_0_'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/realax/REAL_INV_0_' 'mat/A_SSO'#@#variant
0. 'h4/thm/extreal/extreal_not_infty_0' 'mat/not_eq_OZ_neg'
0. 'h4/thm/arithmetic/ADD_0_' 'mat/Qtimes_q_Qone'
0. 'h4/thm/integer/TINT_LDISTRIB_'#@#variant 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/extreal/div_one_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/divides/ONE_LT_PRIMES_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/numRing/num_rewrites_tLRL' 'mat/Ztimes_Zone_r'
0. 'h4/thm/complex/COMPLEX_ADD_ASSOC_'#@#variant 'mat/andb_assoc'
0. 'h4/thm/real/ABS_POS_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/hreal/HREAL_ADD_SYM_' 'mat/andb_sym'
0. 'h4/thm/complex/COMPLEX_DIV_SUB_'#@#variant 'mat/times_plus_l'
0. 'h4/thm/frac/FRAC_ADD_COMM_' 'mat/orbC'
0. 'h4/thm/float/REAL_LE_RCANCEL_IMP_'#@#variant 'mat/lt_exp_to_lt1'#@#variant
0. 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant 'mat/le_exp'#@#variant
0. 'h4/thm/extreal/extreal_inv_def_0'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/arithmetic/LESS_MONO_MULT2_' 'mat/le_plus'
0. 'h4/thm/integer/INT_ADD_REDUCE_0'#@#variant 'mat/Qtimes_Qone_q'
0. 'h4/thm/hreal/HRAT_MUL_RID_' 'mat/plus_n_O'
0. 'h4/thm/numeral/numeral_pre_0' 'mat/A_SO'#@#variant
0. 'h4/thm/integer/INT_ADD_RID_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/arithmetic/MAX_COMM_' 'mat/sym_gcd'
0. 'h4/thm/extreal/add_assoc_' 'mat/assoc_Ztimes'
0. 'h4/thm/numeral/numeral_distrib_15' 'mat/A_SO'#@#variant
0. 'h4/thm/integer/INT_QUOT_1_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/extreal/add_rzero_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/rat/RAT_AINV_AINV_' 'mat/eq_notb_notb_b_b'
0. 'h4/thm/numeral_bit/numeral_ilog2_0' 'mat/A_SSSO'#@#variant
0. 'h4/thm/integer/INT_SUB_RZERO_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/realax/TREAL_ADD_ASSOC_'#@#variant 'mat/andb_assoc'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL' 'mat/not_prime_O'
0. 'h4/thm/extreal/max_infty_0' 'mat/Ztimes_z_OZ'
0. 'h4/thm/extreal/extreal_inv_def_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/arithmetic/SUB_0_e1' 'mat/Qtimes_q_Qone'
0. 'h4/thm/integer/INT_ADD_REDUCE_1'#@#variant 'mat/minus_n_O'
0. 'h4/thm/complex/COMPLEX_ADD_COMM_'#@#variant 'mat/andbC'
0. 'h4/thm/gcd/LCM_1_e1'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/real/REAL_LE_ADD2_' 'mat/le_times'
0. 'h4/thm/extreal/add_lzero_'#@#variant 'mat/Ztimes_Zone_l'
0. 'h4/thm/extreal/add_rzero_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/arithmetic/MAX_ASSOC_' 'mat/andbA'
0. 'h4/thm/rat/RAT_ADD_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/arithmetic/ABS_DIFF_EQS_' 'mat/bc_n_n'#@#variant
0. 'h4/thm/extreal/max_infty_e3' 'mat/Qtimes_q_Qone'
0. 'h4/thm/integer/TINT_ADD_WELLDEF_'#@#variant 'mat/divides_times'
0. 'h4/thm/integer/INT_ADD_ASSOC_' 'mat/andbA'
0. 'h4/thm/integer/INT_MUL_LZERO_'#@#variant 'mat/mod_O_n'
0. 'h4/thm/realax/HREAL_LT_REFL_' 'mat/Not_lt_n_n'
0. 'h4/thm/arithmetic/ABS_DIFF_ZERO_0' 'mat/div_SO'#@#variant
0. 'h4/thm/string_num/s2n_n2s_'#@#variant 'mat/factorize_defactorize'
0. 'h4/thm/transc/LN_LE_'#@#variant 'mat/divides_max_prime_factor_n'#@#variant
0. 'h4/thm/arithmetic/ADD_SYM_' 'mat/sym_Zplus'
0. 'h4/thm/list/list_distinct_' 'mat/nil_cons'
0. 'h4/thm/real/ABS_MUL_' 'mat/Qinv_Qtimes\''
0. 'h4/thm/integer/INT_ADD_CALCULATE_1'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/rat/RAT_AINV_ADD_' 'mat/Zopp_Zplus'
0. 'h4/thm/transc/COS_PI_'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/extreal/min_le2_imp_' 'mat/le_times'
0. 'h4/thm/complex/COMPLEX_MUL_COMM_'#@#variant 'mat/sym_gcd'
0. 'h4/thm/arithmetic/MIN_COMM_' 'mat/sym_rtimes'
0. 'h4/thm/integer/INT_MUL_CALCULATE_e3' 'mat/eq_notb_notb_b_b'
0. 'h4/thm/arithmetic/ADD_SYM_' 'mat/orbC'
0. 'h4/thm/gcd/GCD_SYM_' 'mat/sym_rtimes'
0. 'h4/thm/realax/HREAL_LT_ADD2_' 'mat/lt_times'
0. 'h4/thm/extreal/le_add2_' 'mat/lt_plus'
0. 'h4/thm/arithmetic/EXP_BASE_MULT_' 'mat/times_minus_l'
0. 'h4/thm/divides/ZERO_LT_PRIMES_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/hrat/HRAT_MUL_LID_' 'mat/Ztimes_Zone_l'
0. 'h4/thm/extreal/num_not_infty_0' 'mat/not_eq_OZ_neg'
0. 'h4/thm/arithmetic/LEFT_SUB_DISTRIB_' 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/real/REAL_OF_NUM_MUL_' 'mat/eq_times_fa_times'
0. 'h4/thm/complex/COMPLEX_OF_REAL_SUB_'#@#variant 'mat/eq_times_times_fa'
0. 'h4/thm/realax/TREAL_MUL_ASSOC_'#@#variant 'mat/assoc_Zplus'
0. 'h4/thm/extreal/mul_assoc_' 'mat/assoc_Zplus'
0. 'h4/thm/hreal/HREAL_MUL_ASSOC_' 'mat/andbA'
0. 'h4/thm/complex/CONJ_SUB_'#@#variant 'mat/Qinv_Qtimes\''
0. 'h4/thm/complex/CONJ_CONJ_'#@#variant 'mat/Qinv_Qinv'
0. 'h4/thm/transc/SIN_BOUNDS_0'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/hreal/HREAL_ADD_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/hreal/HRAT_LT_MUL2_' 'mat/le_times'
0. 'h4/thm/real/REAL_SUB_RZERO_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/hreal/HREAL_MUL_LID_' 'mat/rtimes_one_r'
0. 'h4/thm/hrat/HRAT_LDISTRIB_' 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/logroot/EXP_MUL_' 'mat/eq_minus_minus_minus_plus'
0. 'h4/thm/real/REAL_ADD_COMM_' 'mat/sym_Ztimes'
0. 'h4/thm/frac/FRAC_AINV_AINV_' 'mat/Zopp_Zopp'
0. 'h4/thm/extreal/abs_pos_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/extreal/extreal_add_def_0' 'mat/bool_to_nat_andb'
0. 'h4/thm/extreal/mul_lone_'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/integer/INT_SUB_RZERO_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/arithmetic/MULT_COMM_' 'mat/sym_gcd'
0. 'h4/thm/extreal/div_one_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/integer/INT_ADD_RINV_'#@#variant 'mat/Zplus_Zopp'
0. 'h4/thm/frac/FRAC_AINV_ONEONE_' 'mat/injective_notb'
0. 'h4/thm/complex/MODU_MUL_'#@#variant 'mat/times_fa_Qtimes'
0. 'h4/thm/integer/TINT_ADD_SYM_'#@#variant 'mat/sym_rtimes'
0. 'h4/thm/hreal/HRAT_LT_ADD2_' 'mat/lt_times'
0. 'h4/thm/transc/RPOW_ADD_' 'mat/exp_plus_times'
0. 'h4/thm/integer/TINT_ADD_WELLDEFR_'#@#variant 'mat/lt_plus_l'
0. 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant 'mat/le_pred'
0. 'h4/thm/integer/INT_ADD_SYM_' 'mat/andbC'
0. 'h4/thm/arithmetic/ABS_DIFF_ZERO_e1' 'mat/Qtimes_Qone_q'
0. 'h4/thm/real/REAL_SUB_LDISTRIB_' 'mat/distr_times_minus'
0. 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant 'mat/Qinv_Qinv'
0. 'h4/thm/integer/INT_MUL_COMM_' 'mat/andbC'
0. 'h4/thm/integer/INT_ADD_COMM_' 'mat/andbC'
0. 'h4/thm/ieee/roundmode_BIJ_0' 'mat/defactorize_factorize'
0. 'h4/thm/gcd/LCM_COMM_' 'mat/sym_rtimes'
0. 'h4/thm/Encode/biprefix_refl_' 'mat/incl_A_A'
0. 'h4/thm/real/ABS_POS_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/hrat/HRAT_MUL_SYM_' 'mat/sym_rtimes'
0. 'h4/thm/frac/FRAC_ADD_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/integer/LT_ADD2_' 'mat/divides_times'
0. 'h4/thm/integer/LT_ADD2_' 'mat/le_plus'
0. 'h4/thm/integer/INT_SUB_REDUCE_1' 'mat/Zsucc_Zplus_pos_O'
0. 'h4/thm/real/REAL_ADD_RDISTRIB_' 'mat/times_minus_l'
0. 'h4/thm/rat/RAT_ADD_COMM_' 'mat/orb_sym'
0. 'h4/thm/HolSmt/r079_'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/rat/RAT_SGN_MUL_' 'mat/eq_times_fa_times'
0. 'h4/thm/HolSmt/r083_' 'mat/assoc_times'
0. 'h4/thm/integer/INT_MUL_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/integer/INT_MUL_CALCULATE_0' 'mat/bool_to_nat_andb'
0. 'h4/thm/extreal/extreal_add_def_2'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/integer/INT_LT_LADD_IMP_' 'mat/le_times_r'
0. 'h4/thm/real/REAL_SUB_RZERO_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/HolSmt/r127_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/hreal/HREAL_MUL_LINV_' 'mat/orb_not_b_b'
0. 'h4/thm/integer/TINT_ADD_ASSOC_'#@#variant 'mat/assoc_Ztimes'
0. 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_' 'mat/lt_n_nth_prime_n'
0. 'h4/thm/rat/RAT_MUL_ASSOC_' 'mat/andbA'
0. 'h4/thm/hrat/HRAT_MUL_LID_' 'mat/rtimes_one_r'
0. 'h4/thm/transc/LN_1_'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/extreal/inv_one_'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/integer/INT_LTE_TOTAL_' 'mat/not_lt_to_le'
0. 'h4/thm/numeral/DIV2_BIT1_' 'mat/Zpred_Zsucc'
0. 'h4/thm/numeral/numeral_distrib_7' 'mat/rtimes_r_one'
0. 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant 'mat/notb_notb'
0. 'h4/thm/real/REAL_SUB_RDISTRIB_' 'mat/times_minus_l'
0. 'h4/thm/frac/FRAC_ADD_COMM_' 'mat/sym_times'
0. 'h4/thm/extreal/sub_zero_lt_'#@#variant 'mat/lt_O_bc'#@#variant
0. 'h4/thm/rat/RAT_ADD_RID_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/numeral/numeral_distrib_1' 'mat/rtimes_r_one'
0. 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant 'mat/factorize_defactorize'
0. 'h4/thm/real/REAL_ABS_POS_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/complex/COMPLEX_ADD_COMM_'#@#variant 'mat/sym_rtimes'
0. 'h4/thm/real/REAL_ADD_SYM_' 'mat/sym_Ztimes'
0. 'h4/thm/realax/TREAL_ADD_SYM_'#@#variant 'mat/orb_sym'
0. 'h4/thm/bit/MOD_LEQ_' 'mat/le_div'
0. 'h4/thm/rat/RAT_ADD_COMM_' 'mat/orbC'
0. 'h4/thm/hrat/HRAT_ADD_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/HolSmt/r223_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/float/EXP_GT_ZERO_'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/arithmetic/MULT_CLAUSES_3'#@#variant 'mat/minus_n_O'
0. 'h4/thm/frac/FRAC_MUL_COMM_' 'mat/sym_plus'
0. 'h4/thm/real/REAL_SUB_LZERO_' 'mat/Zpred_Zplus_neg_O'
0. 'h4/thm/frac/FRAC_ADD_COMM_' 'mat/sym_plus'
0. 'h4/thm/realax/REAL_ADD_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant 'mat/ltS'
0. 'h4/thm/integer/INT_SUB_REDUCE_0'#@#variant 'mat/plus_n_O'
0. 'h4/thm/arithmetic/X_LE_X_EXP_' 'mat/O_lt_const_to_le_times_const'
0. 'h4/thm/integer/INT_ADD_LID_'#@#variant 'mat/Qtimes_Qone_q'
0. 'h4/thm/rat/RAT_ADD_COMM_' 'mat/sym_rtimes'
0. 'h4/thm/extreal/mul_lone_'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/arithmetic/ADD_0' 'mat/gcd_O_n'
0. 'h4/thm/extreal/mul_rone_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/integerRing/int_rewrites_tLRRRRL' 'mat/eq_times_times_fa'
0. 'h4/thm/integer/INT_ADD_SYM_' 'mat/sym_plus'
0. 'h4/thm/extreal/lt_refl_' 'mat/Not_lt_n_n'
0. 'h4/thm/integer/INT_LT_IMP_NE_' 'mat/lt_to_not_eq'
0. 'h4/thm/numeral/numeral_MAX_1' 'mat/Zplus_z_OZ'
0. 'h4/thm/realax/TREAL_EQ_TRANS_'#@#variant 'mat/trans_divides'
0. 'h4/thm/real/REAL_NEG_0_'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/rat/RAT_MUL_RID_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/integer/TINT_MUL_ASSOC_'#@#variant 'mat/assoc_times'
0. 'h4/thm/divides/ZERO_LT_PRIMES_'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/divides/ONE_LT_PRIMES_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/divides/ONE_LT_PRIME_'#@#variant 'mat/correct2'
0. 'h4/thm/prim_rec/LESS_0_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/extreal/max_infty_e3' 'mat/plus_n_O'
0. 'h4/thm/rat/rat_sgn_def_' 'mat/numerator_nat_fact_to_fraction'
0. 'h4/thm/integer/INT_LET_TOTAL_' 'mat/not_le_to_lt'
0. 'h4/thm/binary_ieee/num2rounding_rounding2num_' 'mat/defactorize_factorize'
0. 'h4/thm/real/ABS_POS_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/real/REAL_INV_POS_'#@#variant 'mat/lt_O_smallest_factor'#@#variant
0. 'h4/thm/integer/INT_SUB_LDISTRIB_' 'mat/eq_gcd_times_times_times_gcd'
0. 'h4/thm/integer/INT_ADD_CALCULATE_1'#@#variant 'mat/plus_n_O'
0. 'h4/thm/numpair/invtri_le_' 'mat/le_pred_n'
0. 'h4/thm/integer_word/ONE_LE_TWOEXP_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/numeral/numeral_evenodd_1' 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/real/REAL_ADD_RID_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/numRing/num_rewrites_tLLRR'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/integer/INT_MUL_LZERO_'#@#variant 'mat/exp_SO_n'#@#variant
0. 'h4/thm/arithmetic/MULT_RIGHT_1_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/HolSmt/r127_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/arithmetic/ADD_SYM_' 'mat/sym_times'
0. 'h4/thm/real/REAL_MUL_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/arithmetic/MULT_CLAUSES_2'#@#variant 'mat/Ztimes_Zone_l'
0. 'h4/thm/patricia/BRANCHING_BIT_SYM_' 'mat/sym_Zplus'
0. 'h4/thm/HolSmt/r215_' 'mat/orb_sym'
0. 'h4/thm/hreal/HRAT_LT_ADDR_' 'mat/le_plus_n'
0. 'h4/thm/hrat/HRAT_MUL_SYM_' 'mat/sym_times'
0. 'h4/thm/frac/FRAC_MUL_RID_' 'mat/rtimes_r_one'
0. 'h4/thm/transc/ATN_BOUNDS_0'#@#variant 'mat/lt_O_fact'
0. 'h4/thm/realax/REAL_INV_0_' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/real/REAL_IMP_MAX_LE2_' 'mat/le_times'
0. 'h4/thm/arithmetic/ABS_DIFF_SYM_' 'mat/sym_Zplus'
0. 'h4/thm/real/REAL_MIN_LE1_' 'mat/divides_gcd_n'
0. 'h4/thm/divides/DIVIDES_SUB_' 'mat/divides_plus'
0. 'h4/thm/realax/TREAL_ADD_ASSOC_'#@#variant 'mat/andbA'
0. 'h4/thm/numeral/numeral_MIN_1' 'mat/Ztimes_z_OZ'
0. 'h4/thm/prim_rec/LESS_0_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/integer/INT_SUB_RDISTRIB_' 'mat/times_exp'
0. 'h4/thm/integer/INT_ADD_CALCULATE_2' 'mat/times_fa_Qtimes'
0. 'h4/thm/prim_rec/PRE_0' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/float/REAL_LE_LCANCEL_IMP_'#@#variant 'mat/lt_exp_to_lt'#@#variant
0. 'h4/thm/intExtension/INT_SGN_MUL2_' 'mat/Zopp_Zplus'
0. 'h4/thm/arithmetic/SUC_ONE_ADD_'#@#variant 'mat/eq_B_B1'
0. 'h4/thm/ieee/Fraction_'#@#variant 'mat/numerator_nat_fact_to_fraction'
0. 'h4/thm/numeral/numeral_distrib_0' 'mat/rtimes_one_r'
0. 'h4/thm/realax/REAL_ADD_SYM_' 'mat/andb_sym'
0. 'h4/thm/real/REAL_MIN_ALT_0' 'mat/lt_to_eq_mod'
0. 'h4/thm/extreal/extreal_distinct_1' 'mat/not_eq_numerator_nfa_zero'
0. 'h4/thm/integer/INT_LE_REFL_' 'mat/divides_n_n'
0. 'h4/thm/integer/INT_MUL_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/HolSmt/r081_' 'mat/sym_gcd'
0. 'h4/thm/real/REAL_SUB_RZERO_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/realax/hreal_of_real_'#@#variant 'mat/numerator_nat_fact_to_fraction'
0. 'h4/thm/rat/RAT_EQUIV_TRANS_' 'mat/trans_lt'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRL' 'mat/Zopp_Zplus'
0. 'h4/thm/HolSmt/r213_'#@#variant 'mat/Ztimes_Zone_l'
0. 'h4/thm/num/SUC_REP_DEF_0' 'mat/injective_nth_prime'
0. 'h4/thm/transc/ATN_e2' 'mat/Zsucc_Zpred'
0. 'h4/thm/integer/TINT_MUL_SYM_'#@#variant 'mat/sym_Ztimes'
0. 'h4/thm/divides/primePRIMES_' 'mat/not_nf_elim_not/0'
0. 'h4/thm/frac/FRAC_AINV_ADD_' 'mat/Qinv_Qtimes\''
0. 'h4/thm/HolSmt/r083_' 'mat/andbA'
0. 'h4/thm/real/REAL_LT_IMP_NE_' 'mat/lt_to_not_eq'
0. 'h4/thm/gcd/LCM_COMM_' 'mat/sym_gcd'
0. 'h4/thm/real/REAL_ADD_SYM_' 'mat/andbC'
0. 'h4/thm/numpair/invtri_le_' 'mat/le_smallest_factor_n'
0. 'h4/thm/numeral/numeral_distrib_7' 'mat/times_n_SO'#@#variant
0. 'h4/thm/integer/TINT_MUL_ASSOC_'#@#variant 'mat/assoc_Zplus'
0. 'h4/thm/complex/COMPLEX_SUB_LDISTRIB_'#@#variant 'mat/eq_gcd_times_times_times_gcd'
0. 'h4/thm/binary_ieee/float_compare_BIJ_0' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/arithmetic/ABS_DIFF_SYM_' 'mat/sym_plus'
0. 'h4/thm/integer/INT_LTE_ANTSYM_' 'mat/le_to_not_lt'
0. 'h4/thm/complex/COMPLEX_ADD_ASSOC_'#@#variant 'mat/assoc_Ztimes'
0. 'h4/thm/real/REAL_MUL_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/extreal/lt_trans_' 'mat/trans_divides'
0. 'h4/thm/numeral/numeral_distrib_1' 'mat/times_n_SO'#@#variant
0. 'h4/thm/arithmetic/ABS_DIFF_COMM_' 'mat/sym_rtimes'
0. 'h4/thm/divides/PRIME_POS_'#@#variant 'mat/bertrand_n'#@#variant
0. 'h4/thm/rat/RAT_MUL_RID_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/extreal/min_infty_2' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant 'mat/le_S_S'
0. 'h4/thm/extreal/extreal_distinct_1' 'mat/not_eq_OZ_pos'
0. 'h4/thm/extreal/min_comm_' 'mat/sym_times'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRL' 'mat/Ztimes_Zone_r'
0. 'h4/thm/gcd/LCM_1_e1'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant 'mat/Zsucc_Zpred'
0. 'h4/thm/transc/EXP_POS_LE_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/intto/BIT2_nz_' 'mat/not_eq_O_S'
0. 'h4/thm/hrat/TRAT_ADD_SYM_EQ_'#@#variant 'mat/andb_sym'
0. 'h4/thm/real/REAL_DIV_LZERO_'#@#variant 'mat/exp_SO_n'#@#variant
0. 'h4/thm/extreal/extreal_exp_def_e2'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/arithmetic/LESS_EQ_LESS_EQ_MONO_' 'mat/lt_plus'
0. 'h4/thm/gcd/GCD_1_e1'#@#variant 'mat/Qtimes_q_OQ'
0. 'h4/thm/complex/COMPLEX_SUB_RDISTRIB_'#@#variant 'mat/times_minus_l'
0. 'h4/thm/integer/INT_QUOT_CALCULATE_e4' 'mat/rinv_rinv'
0. 'h4/thm/hrat/TRAT_ADD_WELLDEFINED2_'#@#variant 'mat/le_times'
0. 'h4/thm/hreal/HREAL_MUL_SYM_' 'mat/andbC'
0. 'h4/thm/rat/RAT_ADD_LINV_'#@#variant 'mat/orb_not_b_b'
0. 'h4/thm/complex/COMPLEX_SUB_LDISTRIB_'#@#variant 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/real/NUM_FLOOR_EQNS_0' 'mat/defactorize_factorize'
0. 'h4/thm/complex/CONJ_CONJ_'#@#variant 'mat/eq_notb_notb_b_b'
0. 'h4/thm/complex/COMPLEX_ADD_COMM_'#@#variant 'mat/andb_sym'
0. 'h4/thm/frac/FRAC_ADD_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/frac/FRAC_ADD_COMM_' 'mat/sym_gcd'
0. 'h4/thm/integer/TINT_ADD_WELLDEF_'#@#variant 'mat/lt_plus'
0. 'h4/thm/integer/INT_ADD_SYM_' 'mat/orbC'
0. 'h4/thm/numpair/nfst_le_' 'mat/le_pred_n'
0. 'h4/thm/hreal/HREAL_LDISTRIB_' 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/numeral/numeral_distrib_7' 'mat/exp_n_SO'#@#variant
0. 'h4/thm/bit/MOD_LEQ_'#@#variant 'mat/le_div'#@#variant
0. 'h4/thm/complex/COMPLEX_NEG_RDIV_'#@#variant 'mat/plus_n_Sm'
0. 'h4/thm/numeral/numeral_distrib_1' 'mat/exp_n_SO'#@#variant
0. 'h4/thm/extreal/extreal_distinct_e2' 'mat/not_eq_denominator_nfa_zero'
0. 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant 'mat/lt_plus_l'
0. 'h4/thm/integer/INT_ADD_RID_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/hrat/hrat_sucint_'#@#variant 'mat/numerator_nat_fact_to_fraction'
0. 'h4/thm/integer/INT_QUOT_CALCULATE_e4' 'mat/Zopp_Zopp'
0. 'h4/thm/realax/TREAL_ADD_WELLDEF_'#@#variant 'mat/divides_times'
0. 'h4/thm/arithmetic/ABS_DIFF_SYM_' 'mat/orbC'
0. 'h4/thm/realax/REAL_MUL_LID_' 'mat/rtimes_one_r'
0. 'h4/thm/hreal/HRAT_LT_TRANS_' 'mat/trans_divides'
0. 'h4/thm/frac/FRAC_MUL_RID_' 'mat/times_n_SO'#@#variant
0. 'h4/thm/frac/FRAC_MUL_RID_' 'mat/Qtimes_q_Qone'
0. 'h4/thm/extreal/ne_01_'#@#variant 'mat/not_eq_true_false'
0. 'h4/thm/integer/INT_ADD_CALCULATE_1'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/numeral/numeral_distrib_15' 'mat/A_SSO'#@#variant
0. 'h4/thm/numeral/DIV2_BIT1_' 'mat/Zsucc_Zpred'
0. 'h4/thm/extreal/mul_lzero_'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/integer/INT_DIV_CALCULATE_e4' 'mat/rinv_rinv'
0. 'h4/thm/extreal/let_trans_' 'mat/le_to_lt_to_lt'
0. 'h4/thm/divides/primePRIMES_' 'mat/lt_O_fact'#@#variant
0. 'h4/thm/HolSmt/r215_' 'mat/sym_Zplus'
0. 'h4/thm/string/string_lt_trans_'#@#variant 'mat/trans_le'
0. 'h4/thm/HolSmt/r234_'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant 'mat/Zpred_Zsucc'
0. 'h4/thm/arithmetic/DIV_1_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/transc/SIN_PI_'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/gcd/LCM_COMM_' 'mat/sym_Ztimes'
0. 'h4/thm/DeepSyntax/deep_form_distinct_25' 'mat/not_eq_pp_nn'
0. 'h4/thm/DeepSyntax/deep_form_distinct_23' 'mat/not_eq_pp_nn'
0. 'h4/thm/arithmetic/ADD_CLAUSES_0' 'mat/gcd_O_n'
0. 'h4/thm/DeepSyntax/deep_form_distinct_22' 'mat/not_eq_pp_nn'
0. 'h4/thm/integer/INT_ABS_POS_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/bit/LOG2_TWOEXP_'#@#variant 'mat/Zsucc_Zpred'
0. 'h4/thm/transc/RPOW_POS_LT_'#@#variant 'mat/lt_O_exp'#@#variant
0. 'h4/thm/extreal/le_lmul_imp_'#@#variant 'mat/le_exp'#@#variant
0. 'h4/thm/hrat/TRAT_ADD_SYM_EQ_'#@#variant 'mat/orb_sym'
0. 'h4/thm/real/REAL_MUL_COMM_' 'mat/sym_Zplus'
0. 'h4/thm/complex/COMPLEX_OF_REAL_ADD_'#@#variant 'mat/eq_times_times_fa'
0. 'h4/thm/gcd/LCM_1_e1'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/arithmetic/transitive_LESS_' 'mat/antisymmetric_divides'
0. 'h4/thm/float/ZERO_NOT_NAN_e1' 'mat/not_prime_O'
0. 'h4/thm/complex/COMPLEX_OF_NUM_MUL_'#@#variant 'mat/eq_times_times_fa'
0. 'h4/thm/hreal/HREAL_MUL_SYM_' 'mat/sym_plus'
0. 'h4/thm/arithmetic/ADD_SYM_' 'mat/sym_gcd'
0. 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant 'mat/Zopp_Zopp'
0. 'h4/thm/arithmetic/ADD_COMM_' 'mat/sym_rtimes'
0. 'h4/thm/extreal/extreal_distinct_e2' 'mat/not_eq_numerator_nfa_zero'
0. 'h4/thm/integer/INT_ADD_' 'mat/times_Qtimes'
0. 'h4/thm/integer/INT_RDISTRIB_' 'mat/times_exp'
0. 'h4/thm/integer/INT_DIV_1_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/arithmetic/ADD_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/complex/CONJ_SUB_'#@#variant 'mat/Zopp_Zplus'
0. 'h4/thm/arithmetic/EXP_BASE_LEQ_MONO_SUC_IMP_' 'mat/lt_times_r'
0. 'h4/thm/arithmetic/MOD_1_'#@#variant 'mat/exp_n_O0'#@#variant
0. 'h4/thm/transc/COS_BOUNDS_0'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/transc/EXP_LT_1_'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'h4/thm/transc/COS_BOUNDS_0'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/arithmetic/TWO_'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/integer/INT_ADD_' 'mat/bool_to_nat_andb'
0. 'h4/thm/integer/INT_MUL_' 'mat/eq_times_fa_times'
0. 'h4/thm/real/REAL_INV_1OVER_'#@#variant 'mat/eq_B_B1'
0. 'h4/thm/hrat/TRAT_MUL_SYM_EQ_'#@#variant 'mat/orb_sym'
0. 'h4/thm/real/REAL_LE_LADD_IMP_' 'mat/le_plus_r'
0. 'h4/thm/arithmetic/MULT_COMM_' 'mat/sym_plus'
0. 'h4/thm/extreal/neg_0_'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/HolSmt/r081_' 'mat/andbC'
0. 'h4/thm/real/REAL_MUL_' 'mat/rtimes_Zplus'
0. 'h4/thm/realax/TREAL_ADD_SYM_'#@#variant 'mat/sym_times'
0. 'h4/thm/realax/REAL_10_' 'mat/not_eq_true_false'
0. 'h4/thm/extreal/extreal_not_infty_0' 'mat/not_eq_denominator_nfa_zero'
0. 'h4/thm/hrat/TRAT_EQ_TRANS_'#@#variant 'mat/trans_divides'
0. 'h4/thm/real/REAL_ADD_RID_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/numeral_bit/numeral_ilog2_0' 'mat/B_SSSO'#@#variant
0. 'h4/thm/extreal/add_comm_' 'mat/sym_Ztimes'
0. 'h4/thm/rat/RAT_ADD_NUM_CALCULATE_0' 'mat/times_Qtimes'
0. 'h4/thm/integer/NUM_OF_INT_' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/extreal/extreal_sub_def_0' 'mat/times_fa_Qtimes'
0. 'h4/thm/complex/COMPLEX_OF_REAL_MUL_'#@#variant 'mat/times_fa_Qtimes'
0. 'h4/thm/integer/INT_MUL_CALCULATE_0' 'mat/times_fa_Qtimes'
0. 'h4/thm/integer/INT_DIV_CALCULATE_e4' 'mat/notb_notb'
0. 'h4/thm/integer/INT_DIV_1_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/real/REAL_LET_TRANS_' 'mat/le_to_lt_to_lt'
0. 'h4/thm/realax/HREAL_RDISTRIB_' 'mat/times_plus_l'
0. 'h4/thm/arithmetic/ADD_CLAUSES_0' 'mat/Qtimes_Qone_q'
0. 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant 'mat/opposite_direction_idempotent'
0. 'h4/thm/HolSmt/r223_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/rat/RAT_LES_TRANS_' 'mat/trans_lt'
0. 'h4/thm/extreal/num_not_infty_e1' 'mat/not_eq_OZ_pos'
0. 'h4/thm/integer/TINT_LT_REFL_'#@#variant 'mat/Not_lt_n_n'
0. 'h4/thm/integer/INT_ADD_LID_'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/extreal/add_rzero_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/rat/RAT_MUL_RZERO_'#@#variant 'mat/times_n_O'
0. 'h4/thm/arithmetic/ADD_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/integer/INT_MUL_CALCULATE_e3' 'mat/opposite_direction_idempotent'
0. 'h4/thm/hreal/HREAL_MUL_SYM_' 'mat/sym_times'
0. 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant 'mat/lt_plus_l'
0. 'h4/thm/bit/TWOEXP_MONO2_'#@#variant 'mat/lt_to_lt_S_S'
0. 'h4/thm/extreal/neg_neg_' 'mat/Zopp_Zopp'
0. 'h4/thm/rat/rat_nmr_def_' 'mat/numerator_nat_fact_to_fraction'
0. 'h4/thm/realax/TREAL_ADD_ASSOC_'#@#variant 'mat/assoc_times'
0. 'h4/thm/integer/INT_ADD_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/rich_list/NOT_SNOC_NIL_' 'mat/nil_cons'
0. 'h4/thm/bit/BIT_REVERSE_def_0' 'mat/mod_O_n'
0. 'h4/thm/float/ftt_'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/extreal/mul_rzero_'#@#variant 'mat/Qtimes_q_OQ'
0. 'h4/thm/real/REAL_INV_INV_' 'mat/opposite_direction_idempotent'
0. 'h4/thm/real/REAL_SUB_REFL_'#@#variant 'mat/minus_n_n'
0. 'h4/thm/arithmetic/LESS_CASES_' 'mat/not_le_to_lt'
0. 'h4/thm/prelim/num2ordering_ordering2num_' 'mat/factorize_defactorize'
0. 'h4/thm/rat/RAT_SUB_ID_'#@#variant 'mat/bc_n_n'#@#variant
0. 'h4/thm/numeral/numeral_exp_0' 'mat/exp_n_O0'
0. 'h4/thm/frac/FRAC_AINV_LMUL_' 'mat/Zplus_Zsucc'
0. 'h4/thm/real/REAL_MUL_' 'mat/eq_times_times_fa'
0. 'h4/thm/extreal/min_infty_0' 'mat/plus_n_O'
0. 'h4/thm/rat/RAT_LEQ_TRANS_' 'mat/trans_divides'
0. 'h4/thm/real/NUM_FLOOR_EQNS_0' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRRL' 'mat/Zopp_Zplus'
0. 'h4/thm/real/REAL_DIV_REFL2_'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/complex/COMPLEX_MUL_COMM_'#@#variant 'mat/orbC'
0. 'h4/thm/extreal/extreal_not_infty_0' 'mat/not_eq_numerator_nfa_zero'
0. 'h4/thm/complex/COMPLEX_ADD_ASSOC_'#@#variant 'mat/andbA'
0. 'h4/thm/HolSmt/r215_' 'mat/sym_plus'
0. 'h4/thm/rat/RAT_MUL_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/integer/INT_MUL_RZERO_'#@#variant 'mat/Ztimes_z_OZ'
0. 'h4/thm/complex/COMPLEX_EXP_SUB_'#@#variant 'mat/demorgan1'
0. 'h4/thm/integer/INT_DIVIDES_TRANS_' 'mat/trans_lt'
0. 'h4/thm/integerRing/int_calculate_4' 'mat/eq_times_times_fa'
0. 'h4/thm/logroot/ROOT_LE_MONO_'#@#variant 'mat/lt_times_r1'#@#variant
0. 'h4/thm/integer/INT_ADD_REDUCE_1'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/integerRing/int_calculate_0' 'mat/eq_times_times_fa'
0. 'h4/thm/realax/HREAL_LT_ADD2_' 'mat/le_times'
0. 'h4/thm/extreal/add_rzero_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/integer/INT_MUL_LID_'#@#variant 'mat/Ztimes_Zone_l'
0. 'h4/thm/integer/TINT_ADD_SYM_'#@#variant 'mat/andbC'
0. 'h4/thm/hrat/HRAT_ADD_SYM_' 'mat/sym_Ztimes'
0. 'h4/thm/hreal/HREAL_MUL_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant 'mat/lt_times_l1'#@#variant
0. 'h4/thm/hrat/TRAT_ADD_SYM_EQ_'#@#variant 'mat/orbC'
0. 'h4/thm/integer/INT_MAX_NUM_' 'mat/eq_plus_Zplus'
0. 'h4/thm/rat/RAT_MUL_COMM_' 'mat/andbC'
0. 'h4/thm/rat/RAT_SUB_RID_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/real/ABS_POS_'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/extreal/max_comm_' 'mat/sym_Ztimes'
0. 'h4/thm/divides/NOT_PRIME_0_' 'mat/not_prime_SO'#@#variant
0. 'h4/thm/extreal/extreal_mul_def_e8' 'mat/eq_times_times_fa'
0. 'h4/thm/integer/INT_LT_REFL_' 'mat/Not_lt_n_n'
0. 'h4/thm/integer/INT_ADD_REDUCE_3' 'mat/rinv_rinv'
0. 'h4/thm/rat/RAT_MUL_RZERO_'#@#variant 'mat/Ztimes_z_OZ'
0. 'h4/thm/integer/INT_LET_ADD2_' 'mat/le_to_lt_to_plus_lt'
0. 'h4/thm/numpair/tri_def_0' 'mat/A_SSO'#@#variant
0. 'h4/thm/extreal/extreal_add_def_0' 'mat/times_Qtimes'
0. 'h4/thm/integer/INT_MIN_NUM_' 'mat/eq_times_fa_times'
0. 'h4/thm/HolSmt/r223_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/extreal/le_ladd_imp_' 'mat/lt_plus_r'
0. 'h4/thm/arithmetic/MULT_SYM_' 'mat/andbC'
0. 'h4/thm/rat/RAT_MUL_NUM_CALCULATE_0' 'mat/eq_plus_Zplus'
0. 'h4/thm/bit/ZERO_LT_TWOEXP_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/hreal/HREAL_MUL_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/hreal/HREAL_MUL_SYM_' 'mat/orbC'
0. 'h4/thm/hrat/TRAT_MUL_WELLDEFINED2_'#@#variant 'mat/le_times'
0. 'h4/thm/arithmetic/EXP_1_0'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/numeral/numeral_MAX_1' 'mat/minus_n_O'
0. 'h4/thm/rat/RAT_SUB_CALCULATE_' 'mat/rtimes_Zplus'
0. 'h4/thm/realax/TREAL_BIJ_0'#@#variant 'mat/factorize_defactorize'
0. 'h4/thm/real/REAL_MUL_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/rat/RAT_ADD_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/realax/TREAL_MUL_ASSOC_'#@#variant 'mat/assoc_plus'
0. 'h4/thm/extreal/extreal_inv_def_0'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/arithmetic/EXP_1_e1'#@#variant 'mat/plus_n_O'
0. 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant 'mat/lt_to_lt_S_S'
0. 'h4/thm/ieee/num2roundmode_roundmode2num_' 'mat/factorize_defactorize'
0. 'h4/thm/integer/TINT_LT_ADD_'#@#variant 'mat/le_plus_r'
0. 'h4/thm/integer/TINT_LT_ADD_'#@#variant 'mat/le_times_r'
0. 'h4/thm/transc/EXP_SUB_' 'mat/demorgan2'
0. 'h4/thm/real/REAL_LE_ADD2_' 'mat/le_plus'
0. 'h4/thm/extreal/add_assoc_' 'mat/assoc_times'
0. 'h4/thm/numpair/tri_LT_I_' 'mat/ltS'
0. 'h4/thm/gcd/LCM_0_e1' 'mat/Qtimes_q_OQ'
0. 'h4/thm/float/TWO_EXP_GE_1_'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/complex/COMPLEX_OF_NUM_ADD_'#@#variant 'mat/eq_times_times_fa'
0. 'h4/thm/real/REAL_POS_POS_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/extreal/min_refl_' 'mat/gcd_n_n'
0. 'h4/thm/arithmetic/FACT_LESS_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/numeral/numeral_evenodd_1' 'mat/lt_O_S'#@#variant
0. 'h4/thm/integer/INT_SUB_RDISTRIB_' 'mat/times_minus_l'
0. 'h4/thm/arithmetic/SUB_0_e1' 'mat/plus_n_O'
0. 'h4/thm/HolSmt/r217_' 'mat/assoc_plus'
0. 'h4/thm/divides/ZERO_LT_PRIMES_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/rich_list/NOT_NIL_SNOC_' 'mat/nil_cons'
0. 'h4/thm/frac/FRAC_AINV_AINV_' 'mat/notb_notb'
0. 'h4/thm/integer/INT_SUB_RZERO_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/integer/TINT_EQ_REFL_'#@#variant 'mat/divides_n_n'
0. 'h4/thm/frac/FRAC_MUL_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/realax/REAL_MUL_SYM_' 'mat/andbC'
0. 'h4/thm/float/REAL_MUL_AC_1' 'mat/assoc_Ztimes'
0. 'h4/thm/extreal/add_not_infty_e1' 'mat/eq_Qtimes_OQ_to_eq_OQ'
0. 'h4/thm/arithmetic/LEFT_SUB_DISTRIB_' 'mat/distr_times_plus'
0. 'h4/thm/integerRing/int_calculate_4' 'mat/rtimes_Zplus'
0. 'h4/thm/hrat/HRAT_ADD_SYM_' 'mat/sym_rtimes'
0. 'h4/thm/ieee/float_tybij_0'#@#variant 'mat/defactorize_factorize'
0. 'h4/thm/gcd/LCM_COMM_' 'mat/sym_plus'
0. 'h4/thm/bit/BIT_B_'#@#variant 'mat/le_n_fact_n'
0. 'h4/thm/integerRing/int_calculate_0' 'mat/rtimes_Zplus'
0. 'h4/thm/integer/INT_LTE_TOTAL_' 'mat/not_le_to_lt'
0. 'h4/thm/prelim/ordering_distinct_e2' 'mat/not_eq_true_false'
0. 'h4/thm/numeral/iDUB_removal_e2' 'mat/A_SSO'#@#variant
0. 'h4/thm/numRing/num_rewrites_tLLRRR'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/real/REAL_OVER1_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/frac/frac_bij_0'#@#variant 'mat/factorize_defactorize'
0. 'h4/thm/arithmetic/MULT_SYM_' 'mat/sym_plus'
0. 'h4/thm/HolSmt/r127_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/hreal/HREAL_MUL_SYM_' 'mat/sym_Ztimes'
0. 'h4/thm/rat/RAT_SGN_MUL_' 'mat/times_fa_Qtimes'
0. 'h4/thm/real/ABS_0_'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/bit/TWOEXP_MONO_'#@#variant 'mat/le_S_S'
0. 'h4/thm/string/CHR_ORD_' 'mat/defactorize_factorize'
0. 'h4/thm/complex/complex_of_num_'#@#variant 'mat/numerator_nat_fact_to_fraction'
0. 'h4/thm/realax/TREAL_MUL_SYM_'#@#variant 'mat/sym_gcd'
0. 'h4/thm/complex/COMPLEX_OF_REAL_ADD_'#@#variant 'mat/times_fa_Qtimes'
0. 'h4/thm/rat/RAT_SUB_RID_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/ieee/roundmode_distinct_e5' 'mat/not_eq_true_false'
0. 'h4/thm/bit/LESS_MULT_MONO2_' 'mat/le_times'
0. 'h4/thm/real/REAL_LDISTRIB_' 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/real/REAL_MUL_SYM_' 'mat/orb_sym'
0. 'h4/thm/hrat/HRAT_MUL_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/hrat/HRAT_ADD_SYM_' 'mat/andbC'
0. 'h4/thm/real/REAL_NEG_NEG_' 'mat/opposite_direction_idempotent'
0. 'h4/thm/complex/COMPLEX_OF_NUM_MUL_'#@#variant 'mat/eq_times_fa_times'
0. 'h4/thm/extreal/le_refl_' 'mat/divides_n_n'
0. 'h4/thm/arithmetic/LESS_SUB_ADD_LESS_' 'mat/lt_times_to_lt_div'
0. 'h4/thm/poly/POLY_ADD_'#@#variant 'mat/eq_times_f_times1'
0. 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant 'mat/le_exp'#@#variant
0. 'h4/thm/arithmetic/MIN_0_e1' 'mat/mod_O_n'
0. 'h4/thm/realax/TREAL_ADD_WELLDEF_'#@#variant 'mat/lt_plus'
0. 'h4/thm/toto/num2cpn_cpn2num_' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/numRing/num_rewrites_tLL' 'mat/Qtimes_Qone_q'
0. 'h4/thm/realax/TREAL_LT_TRANS_'#@#variant 'mat/trans_le'
0. 'h4/thm/real/REAL_OF_NUM_ADD_' 'mat/rtimes_Zplus'
0. 'h4/thm/numeral/numeral_MIN_0' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/integer/INT_LET_TRANS_' 'mat/le_to_lt_to_lt'
0. 'h4/thm/arithmetic/MULT_CLAUSES_3'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/extreal/extreal_mul_def_e8' 'mat/times_fa_Qtimes'
0. 'h4/thm/arithmetic/MAX_0_0' 'mat/plus_n_O'
0. 'h4/thm/rat/RAT_ADD_NUM_CALCULATE_0' 'mat/eq_times_fa_times'
0. 'h4/thm/extreal/div_one_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/numeral/numeral_evenodd_1' 'mat/not_nf_elim_not/1'
0. 'h4/thm/frac/FRAC_AINV_AINV_' 'mat/opposite_direction_idempotent'
0. 'h4/thm/sorting/PERM_REFL_' 'mat/incl_A_A'
0. 'h4/thm/arithmetic/SUB_0' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/realax/TREAL_MUL_SYM_'#@#variant 'mat/sym_plus'
0. 'h4/thm/float/REAL_MUL_AC_1' 'mat/assoc_Zplus'
0. 'h4/thm/realax/REAL_MUL_SYM_' 'mat/sym_plus'
0. 'h4/thm/transc/SIN_PI_'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/extreal/extreal_div_eq_' 'mat/eq_times_fa_times'
0. 'h4/thm/arithmetic/MIN_COMM_' 'mat/andb_sym'
0. 'h4/thm/ieee/num2ccode_ccode2num_' 'mat/factorize_defactorize'
0. 'h4/thm/integer/INT_SUB_REDUCE_0'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/real/REAL_LT_REFL_' 'mat/Not_lt_n_n'
0. 'h4/thm/binary_ieee/float_compare_BIJ_0' 'mat/defactorize_factorize'
0. 'h4/thm/real/REAL_OF_NUM_MUL_' 'mat/eq_plus_Zplus'
0. 'h4/thm/complex/COMPLEX_OF_REAL_MUL_'#@#variant 'mat/bool_to_nat_andb'
0. 'h4/thm/string/string_lt_nonrefl_'#@#variant 'mat/Not_lt_n_n'
0. 'h4/thm/numpair/napp_thm_0' 'mat/Qtimes_Qone_q'
0. 'h4/thm/rat/RAT_AINV_AINV_' 'mat/finv_finv'
0. 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant 'mat/notb_notb'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRL' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/real/REAL_ADD_' 'mat/bool_to_nat_andb'
0. 'h4/thm/hrat/TRAT_MUL_SYM_EQ_'#@#variant 'mat/sym_times'
0. 'h4/thm/numeral_bit/NUMERAL_iDIV2_2' 'mat/pred_Sn'
0. 'h4/thm/integer/TINT_LT_ADD_'#@#variant 'mat/lt_plus_r'
0. 'h4/thm/arithmetic/EVEN_DOUBLE_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/numeral/numeral_distrib_7' 'mat/Ztimes_Zone_r'
0. 'h4/thm/divides/ONE_LT_PRIMES_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/integer/INT_DIV_CALCULATE_e4' 'mat/Zopp_Zopp'
0. 'h4/thm/real/REAL_SUB_ADD_' 'mat/minus_plus_m_m'
0. 'h4/thm/numeral/numeral_distrib_1' 'mat/Ztimes_Zone_r'
0. 'h4/thm/hreal/HRAT_LT_TRANS_' 'mat/trans_lt'
0. 'h4/thm/hrat/HRAT_ADD_SYM_' 'mat/sym_times'
0. 'h4/thm/integer/INT_LT_ADD2_' 'mat/lt_times'
0. 'h4/thm/divides/NOT_PRIME_1_'#@#variant 'mat/not_prime_O'
0. 'h4/thm/divides/DIVIDES_ANTISYM_' 'mat/antisym_le'
0. 'h4/thm/rat/RAT_LDISTRIB_' 'mat/eq_gcd_times_times_times_gcd'
0. 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant 'mat/ltS'
0. 'h4/thm/numeral_bit/MOD_2EXP_0' 'mat/Ztimes_z_OZ'
0. 'h4/thm/extreal/sqrt_pos_lt_'#@#variant 'mat/lt_O_smallest_factor'#@#variant
0. 'h4/thm/real/REAL_ADD_COMM_' 'mat/andbC'
0. 'h4/thm/complex/COMPLEX_OF_REAL_SUB_'#@#variant 'mat/eq_plus_Zplus'
0. 'h4/thm/numeral/onecount_def_0' 'mat/Qtimes_Qone_q'
0. 'h4/thm/hrat/TRAT_ADD_SYM_EQ_'#@#variant 'mat/sym_Zplus'
0. 'h4/thm/bit/LOG2_TWOEXP_'#@#variant 'mat/Zpred_Zsucc'
0. 'h4/thm/integer/INT_LT_IMP_NE_' 'mat/eq_to_not_lt'
0. 'h4/thm/integer/INT_LT_ADD2_' 'mat/le_plus'
0. 'h4/thm/numeral/numeral_fact_0'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/integer_word/ONE_LE_TWOEXP_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/real/REAL_ADD_LID_'#@#variant 'mat/Ztimes_Zone_l'
0. 'h4/thm/arithmetic/LEFT_SUB_DISTRIB_' 'mat/eq_gcd_times_times_times_gcd'
0. 'h4/thm/integer/INT_ADD_SYM_' 'mat/sym_gcd'
0. 'h4/thm/complex/CONJ_CONJ_'#@#variant 'mat/opposite_direction_idempotent'
0. 'h4/thm/realax/REAL_MUL_SYM_' 'mat/sym_times'
0. 'h4/thm/numeral_bit/NUMERAL_SFUNPOW_iDUB_1'#@#variant 'mat/times_n_O'
0. 'h4/thm/extreal/le_sub_imp_' 'mat/le_minus_to_plus'
0. 'h4/thm/rat/RAT_SUB_LID_' 'mat/Zsucc_Zplus_pos_O'
0. 'h4/thm/complex/COMPLEX_SUB_RDISTRIB_'#@#variant 'mat/times_exp'
0. 'h4/thm/real/REAL_MUL_COMM_' 'mat/sym_gcd'
0. 'h4/thm/extreal/extreal_sub_def_0' 'mat/times_Qtimes'
0. 'h4/thm/sptree/union_LN_0' 'mat/append_nil'
0. 'h4/thm/HolSmt/r221_' 'mat/Zpred_Zplus_neg_O'
0. 'h4/thm/real/REAL_NEG_MINUS1_'#@#variant 'mat/eq_B_B1'
0. 'h4/thm/arithmetic/MULT_RIGHT_1_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/integer/TINT_MUL_WELLDEF_'#@#variant 'mat/divides_times'
0. 'h4/thm/realax/TREAL_ISO_'#@#variant 'mat/lt_to_Zlt_pos_pos'
0. 'h4/thm/real/REAL_OVER1_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/numeral/numeral_distrib_4' 'mat/Qtimes_q_OQ'
0. 'h4/thm/hrat/HRAT_MUL_LINV_' 'mat/minus_Sn_n'#@#variant
0. 'h4/thm/extreal/extreal_add_def_2'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/numeral_bit/NUMERAL_SFUNPOW_iDIV2_0'#@#variant 'mat/Ztimes_Zone_l'
0. 'h4/thm/float/EXP_GT_ZERO_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/complex/MODU_MUL_'#@#variant 'mat/times_Qtimes'
0. 'h4/thm/real/REAL_ADD_SUB_ALT_' 'mat/minus_plus_m_m'
0. 'h4/thm/hrat/TRAT_MUL_SYM_EQ_'#@#variant 'mat/sym_Zplus'
0. 'h4/thm/extreal/min_infty_e3' 'mat/times_n_O'
0. 'h4/thm/binary_ieee/num2float_compare_float_compare2num_' 'mat/defactorize_factorize'
0. 'h4/thm/extreal/min_le2_imp_' 'mat/divides_times'
0. 'h4/thm/extreal/div_one_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/real/REAL_ADD_COMM_' 'mat/orb_sym'
0. 'h4/thm/integer/INT_ADD_LINV_'#@#variant 'mat/orb_not_b_b'
0. 'h4/thm/numeral/numeral_MIN_0' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/numRing/num_rewrites_tLRL' 'mat/Qtimes_q_Qone'
0. 'h4/thm/gcd/GCD_0L_' 'mat/Ztimes_Zone_l'
0. 'h4/thm/transc/TAN_PI_'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/numeral/numeral_MAX_1' 'mat/exp_n_SO'#@#variant
0. 'h4/thm/HolSmt/r217_' 'mat/assoc_Zplus'
0. 'h4/thm/arithmetic/SUB_0_e1' 'mat/times_n_SO'#@#variant
0. 'h4/thm/gcd/LCM_1_e1'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/real/REAL_MAX_REFL_' 'mat/orb_refl'
0. 'h4/thm/numRing/num_rewrites_tLRRRL' 'mat/mod_O_n'
0. 'h4/thm/extreal/extreal_div_eq_' 'mat/rtimes_Zplus'
0. 'h4/thm/extreal/extreal_exp_def_1' 'mat/A_SO'#@#variant
0. 'h4/thm/arithmetic/MAX_COMM_' 'mat/sym_Zplus'
0. 'h4/thm/numpair/tri_def_compute_0' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/complex/COMPLEX_OF_REAL_MUL_'#@#variant 'mat/rtimes_Zplus'
0. 'h4/thm/integer/INT_DIV_CALCULATE_e4' 'mat/finv_finv'
0. 'h4/thm/hreal/HREAL_ADD_SYM_' 'mat/andbC'
0. 'h4/thm/frac/FRAC_MUL_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/integer/INT_SUB_LDISTRIB_' 'mat/distr_times_minus'
0. 'h4/thm/real/REAL_LT_LMUL_IMP_'#@#variant 'mat/lt_exp'#@#variant
0. 'h4/thm/integer/INT_NEGNEG_' 'mat/eq_notb_notb_b_b'
0. 'h4/thm/extreal/extreal_ainv_def_1' 'mat/B_SSSSO'#@#variant
0. 'h4/thm/extreal/extreal_ainv_def_0' 'mat/B_SSSSO'#@#variant
0. 'h4/thm/integer/INT_QUOT_1_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/frac/FRAC_AINV_0_' 'mat/A_SO'#@#variant
0. 'h4/thm/arithmetic/ABS_DIFF_ZERO_0' 'mat/Qtimes_q_Qone'
0. 'h4/thm/hrat/HRAT_LDISTRIB_' 'mat/distr_times_plus'
0. 'h4/thm/float/REAL_ABS_DIV_' 'mat/Qinv_Qtimes\''
0. 'h4/thm/realax/REAL_MUL_SYM_' 'mat/orbC'
0. 'h4/thm/hreal/HRAT_LT_MUL2_' 'mat/lt_times'
0. 'h4/thm/hrat/TRAT_EQ_REFL_'#@#variant 'mat/divides_n_n'
0. 'h4/thm/integer/TINT_EQ_TRANS_'#@#variant 'mat/trans_le'
0. 'h4/thm/real/mult_ints_0' 'mat/eq_times_times_fa'
0. 'h4/thm/arithmetic/ABS_DIFF_SYM_' 'mat/sym_rtimes'
0. 'h4/thm/real/add_ints_0' 'mat/bool_to_nat_andb'
0. 'h4/thm/complex/COMPLEX_OF_NUM_ADD_'#@#variant 'mat/eq_times_fa_times'
0. 'h4/thm/extreal/min_comm_' 'mat/sym_plus'
0. 'h4/thm/integer/TINT_MUL_SYM_'#@#variant 'mat/orb_sym'
0. 'h4/thm/realax/REAL_ADD_LID_' 'mat/rtimes_one_r'
0. 'h4/thm/integer/INT_ADD_CALCULATE_1'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/frac/FRAC_ADD_RID_' 'mat/times_n_SO'#@#variant
0. 'h4/thm/integer/INT_NEGNEG_' 'mat/notb_notb'
0. 'h4/thm/complex/COMPLEX_NEG_LDIV_'#@#variant 'mat/Zplus_Zsucc'
0. 'h4/thm/float/EXP_GT_ZERO_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/extreal/mul_assoc_' 'mat/andb_assoc'
0. 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant 'mat/ltS'
0. 'h4/thm/rat/RAT_ADD_RID_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/hrat/TRAT_ADD_SYM_EQ_'#@#variant 'mat/sym_rtimes'
0. 'h4/thm/string/char_BIJ_0' 'mat/defactorize_factorize'
0. 'h4/thm/bit/BIT_REVERSE_def_0' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/arithmetic/MULT_SYM_' 'mat/sym_Ztimes'
0. 'h4/thm/numeral/numeral_distrib_8' 'mat/Qinv_Qtimes\''
0. 'h4/thm/HolSmt/r081_' 'mat/orb_sym'
0. 'h4/thm/extreal/real_normal_' 'mat/factorize_defactorize'
0. 'h4/thm/util_prob/logr_1_'#@#variant 'mat/mod_SO'#@#variant
0. 'h4/thm/arithmetic/LEFT_ADD_DISTRIB_' 'mat/distr_times_minus'
0. 'h4/thm/numeral/numeral_distrib_5' 'mat/Qinv_Qtimes\''
0. 'h4/thm/transc/EXP_POS_LE_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant 'mat/le_S_S'
0. 'h4/thm/realax/TREAL_LT_TRANS_'#@#variant 'mat/trans_divides'
0. 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant 'mat/Zopp_Zopp'
0. 'h4/thm/toto/StrongLinearOrder_LESS_' 'mat/antisymmetric_le'
0. 'h4/thm/arithmetic/LESS_MONO_ADD_' 'mat/le_times_l'
0. 'h4/thm/hrat/HRAT_MUL_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/prim_rec/LESS_0_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/float/REAL_MUL_AC_1' 'mat/assoc_times'
0. 'h4/thm/realax/REAL_ADD_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/prim_rec/WF_LESS_' 'mat/antisymmetric_divides'
0. 'h4/thm/extreal/extreal_distinct_e2' 'mat/not_eq_OZ_pos'
0. 'h4/thm/integer/INT_MUL_COMM_' 'mat/orb_sym'
0. 'h4/thm/integer/INT_ADD_COMM_' 'mat/orb_sym'
0. 'h4/thm/rat/RAT_ADD_NUM_CALCULATE_0' 'mat/eq_times_times_fa'
0. 'h4/thm/extreal/neg_neg_' 'mat/rinv_rinv'
0. 'h4/thm/arithmetic/DIV_1_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/complex/COMPLEX_OF_REAL_ADD_'#@#variant 'mat/bool_to_nat_andb'
0. 'h4/thm/extreal/min_comm_' 'mat/sym_Zplus'
0. 'h4/thm/prelim/ordering_BIJ_0' 'mat/defactorize_factorize'
0. 'h4/thm/extreal/extreal_mul_def_e8' 'mat/bool_to_nat_andb'
0. 'h4/thm/arithmetic/EXP_1_e1'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/complex/COMPLEX_OF_REAL_DIV_'#@#variant 'mat/times_Qtimes'
0. 'h4/thm/frac/frac_bij_0'#@#variant 'mat/defactorize_factorize'
0. 'h4/thm/integer/INT_MUL_COMM_' 'mat/sym_plus'
0. 'h4/thm/extreal/neg_0_'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/rat/RAT_EQUIV_TRANS_' 'mat/trans_le'
0. 'h4/thm/hreal/HREAL_ADD_SYM_' 'mat/sym_plus'
0. 'h4/thm/hreal/HRAT_MUL_RID_' 'mat/rtimes_r_one'
0. 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant 'mat/lt_to_lt_S_S'
0. 'h4/thm/ieee/ccode_BIJ_0' 'mat/defactorize_factorize'
0. 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant 'mat/le_times_l'
0. 'h4/thm/float/INFINITY_NOT_NAN_0' 'mat/not_prime_SO'#@#variant
0. 'h4/thm/llist/LCONS_NOT_NIL_e1' 'mat/nil_cons'
0. 'h4/thm/transc/SQRT_1_'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/transc/EXP_POS_LT_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/extreal/mul_rone_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/arithmetic/EXP_0'#@#variant 'mat/bc_n_O'#@#variant
0. 'h4/thm/realax/REAL_MUL_SYM_' 'mat/sym_Ztimes'
0. 'h4/thm/numeral/numeral_add_0'#@#variant 'mat/Zpred_Zsucc'
0. 'h4/thm/integer/INT_QUOT_1_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/arithmetic/RIGHT_ADD_DISTRIB_' 'mat/times_exp'
0. 'h4/thm/hrat/TRAT_ADD_WELLDEFINED2_'#@#variant 'mat/lt_plus'
0. 'h4/thm/transc/LN_1_'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/transc/COS_0_'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/integer/INT_LTE_ANTSYM_' 'mat/lt_to_not_le'
0. 'h4/thm/integer/INT_DIVIDES_MUL_0' 'mat/le_plus_n_r'
0. 'h4/thm/arithmetic/ADD_0_' 'mat/minus_n_O'
0. 'h4/thm/real/REAL_OVER1_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/real/REAL_SUB_RDISTRIB_' 'mat/times_plus_l'
0. 'h4/thm/arithmetic/NORM_0_' 'mat/A_SSSO'#@#variant
0. 'h4/thm/extreal/max_infty_2' 'mat/Qtimes_Qone_q'
0. 'h4/thm/gcd/GCD_COMMON_FACTOR_' 'mat/distr_times_minus'
0. 'h4/thm/hreal/HREAL_LDISTRIB_' 'mat/distr_times_minus'
0. 'h4/thm/HolSmt/r127_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/transc/COS_0_'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/complex/COMPLEX_SUB_LDISTRIB_'#@#variant 'mat/distr_times_plus'
0. 'h4/thm/transc/SIN_BOUNDS_0'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/numeral_bit/NUMERAL_iDIV2_0' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/divides/LT_PRIMES_' 'mat/le_S_S'
0. 'h4/thm/extreal/extreal_div_eq_' 'mat/bool_to_nat_andb'
0. 'h4/thm/integer/INT_ADD_CALCULATE_2' 'mat/times_Qtimes'
0. 'h4/thm/real/REAL_MIN_ADD_' 'mat/times_plus_l'
0. 'h4/thm/toto/cpn_BIJ_0' 'mat/factorize_defactorize'
0. 'h4/thm/arithmetic/ABS_DIFF_SYM_' 'mat/andbC'
0. 'h4/thm/poly/POLY_DIVIDES_TRANS_'#@#variant 'mat/trans_divides'
0. 'h4/thm/extreal/inv_one_'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/arithmetic/MAX_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/arithmetic/ABS_DIFF_ZERO_0' 'mat/times_n_SO'#@#variant
0. 'h4/thm/float/egtff_'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/arithmetic/MULT_SYM_' 'mat/sym_rtimes'
0. 'h4/thm/gcd/GCD_0R_' 'mat/exp_n_SO'#@#variant
0. 'h4/thm/HolSmt/r223_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/integer/INT_NEGNEG_' 'mat/opposite_direction_idempotent'
0. 'h4/thm/binary_ieee/num2rounding_rounding2num_' 'mat/factorize_defactorize'
0. 'h4/thm/integer/INT_MUL_RID_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/real/REAL_DIV_ADD_' 'mat/times_exp'
0. 'h4/thm/extreal/num_not_infty_e1' 'mat/not_eq_OZ_neg'
0. 'h4/thm/arithmetic/TWO_'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/extreal/le_addr_imp_'#@#variant 'mat/O_lt_const_to_le_times_const'#@#variant
0. 'h4/thm/extreal/real_normal_' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/rat/RAT_ADD_RID_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/transc/COS_0_'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/hreal/HREAL_ADD_SYM_' 'mat/sym_times'
0. 'h4/thm/extreal/extreal_not_infty_0' 'mat/not_eq_OZ_pos'
0. 'h4/thm/extreal/min_infty_e3' 'mat/Ztimes_z_OZ'
0. 'h4/thm/real/REAL_MUL_SYM_' 'mat/sym_plus'
0. 'h4/thm/arithmetic/EXP_e1' 'mat/times_n_Sm'
0. 'h4/thm/real/mult_ints_0' 'mat/eq_times_fa_times'
0. 'h4/thm/prim_rec/PRE_0' 'mat/A_SO'#@#variant
0. 'h4/thm/rat/RAT_ADD_NUM_CALCULATE_0' 'mat/rtimes_Zplus'
0. 'h4/thm/real/REAL_SUB_RZERO_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/float/EXP_GT_ZERO_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/extreal/lt_add2_' 'mat/le_times'
0. 'h4/thm/numeral/numeral_pre_1'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/real/add_ints_0' 'mat/eq_plus_Zplus'
0. 'h4/thm/numeral_bit/NUMERAL_SFUNPOW_iDUB_0'#@#variant 'mat/Ztimes_Zone_l'
0. 'h4/thm/extreal/num_not_infty_e1' 'mat/not_eq_denominator_nfa_zero'
0. 'h4/thm/numeral/numeral_pre_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/numpair/napp_thm_0' 'mat/Ztimes_Zone_l'
0. 'h4/thm/float/EXP_GT_ZERO_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/arithmetic/MULT_SUC_' 'mat/exp_S'
0. 'h4/thm/HolSmt/r214_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/extreal/max_infty_1' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRL' 'mat/not_prime_SO'#@#variant
0. 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant 'mat/le_times_l'
0. 'h4/thm/divides/primePRIMES_' 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/rat/RAT_ADD_RINV_'#@#variant 'mat/Zplus_Zopp'
0. 'h4/thm/integer/INT_LE_TRANS_' 'mat/trans_lt'
0. 'h4/thm/complex/COMPLEX_ADD_LDISTRIB_'#@#variant 'mat/eq_gcd_times_times_times_gcd'
0. 'h4/thm/complex/MODU_MUL_'#@#variant 'mat/eq_times_fa_times'
0. 'h4/thm/complex/COMPLEX_OF_REAL_ADD_'#@#variant 'mat/rtimes_Zplus'
0. 'h4/thm/HolSmt/r081_' 'mat/sym_Zplus'
0. 'h4/thm/binary_ieee/rounding_distinct_e5' 'mat/not_eq_true_false'
0. 'h4/thm/arithmetic/MULT_COMM_' 'mat/sym_Ztimes'
0. 'h4/thm/extreal/le_ladd_imp_' 'mat/le_plus_r'
0. 'h4/thm/integer/INT_REM_CALCULATE_2' 'mat/opposite_direction_idempotent'
0. 'h4/thm/real/REAL_NEG_NEG_' 'mat/Qinv_Qinv'
0. 'h4/thm/extreal/extreal_add_def_2'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/hreal/HRAT_MUL_RID_' 'mat/Ztimes_Zone_r'
0. 'h4/thm/integerRing/int_rewrites_tLL' 'mat/times_Qtimes'
0. 'h4/thm/numeral/DIV2_BIT1_' 'mat/pred_Sn'
0. 'h4/thm/extreal/extreal_add_def_0' 'mat/eq_plus_Zplus'
0. 'h4/thm/extreal/mul_rone_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/complex/COMPLEX_DIV_SUB_'#@#variant 'mat/times_exp'
0. 'h4/thm/arithmetic/MOD_LESS_EQ_' 'mat/le_div'
0. 'h4/thm/integer/INT_NEG_ADD_' 'mat/Qinv_Qtimes\''
0. 'h4/thm/real/REAL_LE_TRANS_' 'mat/trans_divides'
0. 'h4/thm/extreal/lt_imp_ne_' 'mat/eq_to_not_lt'
0. 'h4/thm/complex/COMPLEX_ADD_RDISTRIB_'#@#variant 'mat/times_minus_l'
0. 'h4/thm/rat/RAT_SUB_CALCULATE_' 'mat/times_fa_Qtimes'
0. 'h4/thm/float/REAL_LT_LCANCEL_IMP_'#@#variant 'mat/le_exp_to_le'#@#variant
0. 'h4/thm/complex/COMPLEX_ADD_COMM_'#@#variant 'mat/sym_Ztimes'
0. 'h4/thm/patricia/BRANCHING_BIT_SYM_' 'mat/sym_Ztimes'
0. 'h4/thm/rat/RAT_LES_IMP_NEQ_' 'mat/lt_to_not_eq'
0. 'h4/thm/integer/TINT_EQ_TRANS_'#@#variant 'mat/trans_divides'
0. 'h4/thm/string/IMPLODE_EXPLODE_'#@#variant 'mat/pred_Sn'
0. 'h4/thm/extreal/max_refl_' 'mat/gcd_n_n'
0. 'h4/thm/numRing/num_rewrites_tLRRRL' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/rat/RAT_MUL_RID_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/nets/DORDER_NGE_' 'mat/antisymmetric_divides'
0. 'h4/thm/transc/EXP_MONO_IMP_' 'mat/le_to_le_pred'
0. 'h4/thm/real/REAL_LE_ADD2_' 'mat/lt_times'
0. 'h4/thm/integral/LT_0_' 'mat/le_SO_fact'#@#variant
0. 'h4/thm/arithmetic/ADD_COMM_' 'mat/andb_sym'
0. 'h4/thm/rat/RAT_MUL_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/hreal/HREAL_ADD_SYM_' 'mat/orbC'
0. 'h4/thm/integer/INT_MUL_COMM_' 'mat/sym_Zplus'
0. 'h4/thm/real/REAL_ADD_RDISTRIB_' 'mat/times_exp'
0. 'h4/thm/transc/ATN_e2' 'mat/Zpred_Zsucc'
0. 'h4/thm/frac/FRAC_AINV_ONTO_' 'mat/injective_S'
0. 'h4/thm/integer_word/ONE_LE_TWOEXP_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/extreal/extreal_sqrt_def_e1' 'mat/A_SO'#@#variant
0. 'h4/thm/rat/RAT_AINV_AINV_' 'mat/Zopp_Zopp'
0. 'h4/thm/arithmetic/ABS_DIFF_SYM_' 'mat/sym_gcd'
0. 'h4/thm/real/REAL_ADD_LINV_'#@#variant 'mat/minus_Sn_n'#@#variant
0. 'h4/thm/prelim/ordering_BIJ_0' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/rat/RAT_MUL_COMM_' 'mat/sym_Ztimes'
0. 'h4/thm/rat/RAT_' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/extreal/sqrt_pos_lt_'#@#variant 'mat/lt_SO_smallest_factor'#@#variant
0. 'h4/thm/toto/num_dtOrd_e8' 'mat/nat_compare_S_S'
0. 'h4/thm/numRing/num_rewrites_tLLRRRR'#@#variant 'mat/Zsucc_Zpred'
0. 'h4/thm/numpair/napp_thm_0' 'mat/rtimes_one_r'
0. 'h4/thm/prelim/num2ordering_ordering2num_' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/integer/INT_LET_ANTISYM_' 'mat/lt_to_not_le'
0. 'h4/thm/integer/INT_MUL_SYM_' 'mat/sym_Zplus'
0. 'h4/thm/integer/TINT_MUL_WELLDEF_'#@#variant 'mat/lt_plus'
0. 'h4/thm/prim_rec/LESS_SUC_REFL_' 'mat/lt_n_nth_prime_n'
0. 'h4/thm/rat/RAT_MUL_NUM_CALCULATE_0' 'mat/bool_to_nat_andb'
0. 'h4/thm/hreal/HREAL_ADD_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/rat/RAT_SUB_LDISTRIB_' 'mat/distr_times_plus'
0. 'h4/thm/real/REAL_MAX_ADD_' 'mat/times_exp'
0. 'h4/thm/rat/RAT_MUL_LZERO_'#@#variant 'mat/exp_SO_n'#@#variant
0. 'h4/thm/realax/TREAL_MUL_WELLDEF_'#@#variant 'mat/divides_times'
0. 'h4/thm/rat/RAT_LDISTRIB_' 'mat/distr_times_minus'
0. 'h4/thm/integer/INT_ABS_MUL_' 'mat/Qinv_Qtimes\''
0. 'h4/thm/hreal/HRAT_MUL_RINV_' 'mat/Zplus_Zopp'
0. 'h4/thm/frac/FRAC_ADD_ASSOC_' 'mat/andbA'
0. 'h4/thm/realax/REAL_ADD_SYM_' 'mat/andbC'
0. 'h4/thm/numeral/numeral_distrib_6' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/numpair/nsnd_le_' 'mat/le_prim_n'
0. 'h4/thm/gcd/LCM_1_e1'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/numeral/numeral_distrib_3' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant 'mat/le_pred'
0. 'h4/thm/integer/INT_SUB_REFL_'#@#variant 'mat/minus_n_n'
0. 'h4/thm/float/ftt_'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/real/REAL_LT_RMUL_IMP_'#@#variant 'mat/lt_exp1'#@#variant
0. 'h4/thm/float/REAL_MUL_AC_0' 'mat/sym_rtimes'
0. 'h4/thm/extreal/max_infty_2' 'mat/Ztimes_Zone_l'
0. 'h4/thm/complex/COMPLEX_SCALAR_LMUL_SUB_'#@#variant 'mat/eq_times_f_times1'
0. 'h4/thm/integer/INT_NEG_RMUL_' 'mat/plus_n_Sm'
0. 'h4/thm/hrat/HRAT_MUL_SYM_' 'mat/sym_Zplus'
0. 'h4/thm/integer/INT_MUL_COMM_' 'mat/sym_times'
0. 'h4/thm/integerRing/int_rewrites_tRRRRRRRRRRRRRL'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/real/REAL_ABS_POS_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/numeral/onecount_def_0' 'mat/Ztimes_Zone_l'
0. 'h4/thm/divides/ZERO_LT_PRIMES_' 'mat/lt_O_teta'
0. 'h4/thm/rat/RAT_ADD_LINV_'#@#variant 'mat/minus_Sn_n'#@#variant
0. 'h4/thm/integer/TINT_MUL_SYM_'#@#variant 'mat/sym_times'
0. 'h4/thm/HolSmt/r234_'#@#variant 'mat/Ztimes_Zone_l'
0. 'h4/thm/arithmetic/EXP_1_e1'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/hreal/HREAL_ADD_SYM_' 'mat/sym_Ztimes'
0. 'h4/thm/arithmetic/MAX_COMM_' 'mat/andb_sym'
0. 'h4/thm/realax/TREAL_MUL_SYM_'#@#variant 'mat/andbC'
0. 'h4/thm/extreal/add_infty_tRL' 'mat/mod_O_n'
0. 'h4/thm/transc/EXP_ADD_' 'mat/demorgan1'
0. 'h4/thm/arithmetic/ABS_DIFF_COMM_' 'mat/sym_times'
0. 'h4/thm/bit/LOG2_LE_MONO_'#@#variant 'mat/lt_pred'#@#variant
0. 'h4/thm/HolSmt/r215_' 'mat/andb_sym'
0. 'h4/thm/extreal/sub_rzero_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/float/ZERO_NOT_NAN_e1' 'mat/not_prime_SO'#@#variant
0. 'h4/thm/integer/INT_MUL_CALCULATE_0' 'mat/times_Qtimes'
0. 'h4/thm/HolSmt/r081_' 'mat/sym_plus'
0. 'h4/thm/arithmetic/DIV_ONE_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/prim_rec/LESS_SUC_SUC_0' 'mat/le_n_Sn'
0. 'h4/thm/real/REAL_ADD_SYM_' 'mat/orbC'
0. 'h4/thm/real/REAL_ADD_COMM_' 'mat/orbC'
0. 'h4/thm/util_prob/lg_2_'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/real/REAL_ADD_SYM_' 'mat/orb_sym'
0. 'h4/thm/complex/COMPLEX_EXP_ADD_'#@#variant 'mat/demorgan2'
0. 'h4/thm/integer/INT_ADD_REDUCE_3' 'mat/finv_finv'
0. 'h4/thm/realax/TREAL_LDISTRIB_'#@#variant 'mat/eq_gcd_times_times_times_gcd'
0. 'h4/thm/extreal/sub_lzero_' 'mat/Zpred_Zplus_neg_O'
0. 'h4/thm/hrat/TRAT_MUL_WELLDEFINED2_'#@#variant 'mat/lt_plus'
0. 'h4/thm/numeral/numeral_MIN_1' 'mat/times_n_O'
0. 'h4/thm/arithmetic/PRE_SUB_' 'mat/Zplus_Zsucc'
0. 'h4/thm/real/REAL_INV_0_'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/rat/RAT_MUL_CALCULATE_' 'mat/eq_times_fa_times'
0. 'h4/thm/extreal/mul_rneg_' 'mat/plus_n_Sm'
0. 'h4/thm/realax/REAL_INV_0_' 'mat/A_SO'#@#variant
0. 'h4/thm/extreal/mul_comm_' 'mat/andb_sym'
0. 'h4/thm/numeral/numeral_distrib_15' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/integer/INT_MUL_' 'mat/times_Qtimes'
0. 'h4/thm/extreal/extreal_add_def_0' 'mat/eq_times_fa_times'
0. 'h4/thm/integer/INT_ADD_CALCULATE_2' 'mat/eq_times_fa_times'
0. 'h4/thm/intExtension/INT_SGN_MUL2_' 'mat/Qinv_Qtimes\''
0. 'h4/thm/extreal/neg_0_'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/arithmetic/X_LE_X_EXP_'#@#variant 'mat/O_lt_const_to_le_times_const'#@#variant
0. 'h4/thm/integer/INT_MOD_1_'#@#variant 'mat/bc_n_O'#@#variant
0. 'h4/thm/numeral/numeral_distrib_0' 'mat/Ztimes_Zone_l'
0. 'h4/thm/extreal/mul_rone_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/arithmetic/ADD_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/integer/INT_REM_CALCULATE_2' 'mat/Zopp_Zopp'
0. 'h4/thm/integerRing/int_calculate_12' 'mat/rinv_rinv'
0. 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant 'mat/lt_plus_l'
0. 'h4/thm/integer/INT_MUL_' 'mat/bool_to_nat_andb'
0. 'h4/thm/transc/SIN_BOUNDS_0'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/realax/REAL_ADD_SYM_' 'mat/sym_plus'
0. 'h4/thm/integer/INT_ADD_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/real/REAL_LT_ADD2_' 'mat/le_times'
0. 'h4/thm/frac/FRAC_ADD_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/float/TWO_EXP_GE_1_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/float/TWO_EXP_GE_1_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/HolSmt/r127_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/arithmetic/MULT_LEFT_1_'#@#variant 'mat/Qtimes_Qone_q'
0. 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant 'mat/factorize_defactorize'
0. 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant 'mat/le_S_S'
0. 'h4/thm/string/char_BIJ_0' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/numpair/tri_def_0' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/numeral/numeral_pre_0' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/numeral/numeral_distrib_4' 'mat/Ztimes_z_OZ'
0. 'h4/thm/prim_rec/PRE_e1' 'mat/pred_Sn'
0. 'h4/thm/float/TWO_EXP_GE_1_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/numeral/numeral_div2_0' 'mat/A_SO'#@#variant
0. 'h4/thm/integer/TINT_MUL_SYM_'#@#variant 'mat/sym_Zplus'
0. 'h4/thm/arithmetic/SUB_0_0' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/real/REAL_LT_TRANS_' 'mat/trans_le'
0. 'h4/thm/numeral/internal_mult_characterisation_0' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/arithmetic/MAX_0_0' 'mat/Ztimes_Zone_r'
0. 'h4/thm/numRing/num_rewrites_tLLRRR'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/complex/MODU_MUL_'#@#variant 'mat/eq_times_times_fa'
0. 'h4/thm/real/REAL_SUB_RZERO_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/primeFactor/PRIME_FACTORS_EXP_' 'mat/ord_exp'#@#variant
0. 'h4/thm/extreal/extreal_mul_def_3'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/extreal/add_comm_' 'mat/sym_plus'
0. 'h4/thm/int_bitwise/int_not_not_' 'mat/Qinv_Qinv'
0. 'h4/thm/frac/FRAC_MUL_RID_' 'mat/plus_n_O'
0. 'h4/thm/real/REAL_OVER1_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/integer/INT_DIVIDES_MUL_e1' 'mat/le_plus_n'
0. 'h4/thm/extreal/max_infty_e3' 'mat/minus_n_O'
0. 'h4/thm/hreal/HREAL_MUL_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/hreal/HREAL_ADD_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant 'mat/eq_notb_notb_b_b'
0. 'h4/thm/transc/SIN_0_'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/rat/RAT_SUB_RID_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/hrat/HRAT_ADD_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/HolSmt/r083_' 'mat/assoc_plus'
0. 'h4/thm/real/REAL_IMP_MAX_LE2_' 'mat/divides_times'
0. 'h4/thm/numeral/numeral_MIN_1' 'mat/Qtimes_q_OQ'
0. 'h4/thm/extreal/extreal_sub_def_0' 'mat/eq_plus_Zplus'
0. 'h4/thm/rat/RAT_ADD_RID_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/integer/INT_SUB_REDUCE_0'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/real/REAL_ADD_RINV_'#@#variant 'mat/Zplus_Zopp'
0. 'h4/thm/complex/COMPLEX_OF_NUM_MUL_'#@#variant 'mat/eq_plus_Zplus'
0. 'h4/thm/integer/INT_DIVIDES_TRANS_' 'mat/trans_divides'
0. 'h4/thm/arithmetic/ADD_0_' 'mat/rtimes_r_one'
0. 'h4/thm/rat/RAT_MUL_LID_'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/HolSmt/r223_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/extreal/add_comm_' 'mat/sym_Zplus'
0. 'h4/thm/frac/frac_tybij_0'#@#variant 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/frac/FRAC_SGN_MUL_' 'mat/rtimes_Zplus'
0. 'h4/thm/integerRing/int_rewrites_tLL' 'mat/eq_plus_Zplus'
0. 'h4/thm/integer/TINT_NEG_WELLDEF_'#@#variant 'mat/le_to_le_pred'
0. 'h4/thm/integerRing/int_calculate_12' 'mat/notb_notb'
0. 'h4/thm/real/REAL_MIN_SUB_' 'mat/times_minus_l'
0. 'h4/thm/float/REAL_MUL_AC_1' 'mat/assoc_plus'
0. 'h4/thm/extreal/extreal_inv_def_1'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/extreal/max_le2_imp_' 'mat/lt_plus'
0. 'h4/thm/real/REAL_NEG_0_'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/arithmetic/DIV2_def_'#@#variant 'mat/plus_n_SO'#@#variant
0. 'h4/thm/real/REAL_LE_LADD_IMP_' 'mat/lt_plus_r'
0. 'h4/thm/arithmetic/MULT_COMM_' 'mat/sym_rtimes'
0. 'h4/thm/arithmetic/MAX_IDEM_' 'mat/orb_refl'
0. 'h4/thm/integer/INT_ADD_COMM_' 'mat/sym_gcd'
0. 'h4/thm/rat/RAT_ADD_COMM_' 'mat/sym_times'
0. 'h4/thm/bit/BIT_IMP_GE_TWOEXP_'#@#variant 'mat/Zlt_to_Zle'
0. 'h4/thm/realax/TREAL_BIJ_0'#@#variant 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/complex/COMPLEX_ADD_RDISTRIB_'#@#variant 'mat/times_plus_l'
0. 'h4/thm/numeral/exactlog_def_0' 'mat/A_SO'#@#variant
0. 'h4/thm/arithmetic/ZERO_MOD_'#@#variant 'mat/exp_n_O'#@#variant
0. 'h4/thm/real/REAL_NEG_ADD_' 'mat/Qinv_Qtimes\''
0. 'h4/thm/integer/INT_MOD_CALCULATE_2' 'mat/rinv_rinv'
0. 'h4/thm/extreal/num_not_infty_0' 'mat/not_eq_denominator_nfa_zero'
0. 'h4/thm/arithmetic/MULT_CLAUSES_2'#@#variant 'mat/Qtimes_Qone_q'
0. 'h4/thm/realax/TREAL_ADD_SYM_'#@#variant 'mat/sym_gcd'
0. 'h4/thm/complex/MODU_MUL_'#@#variant 'mat/rtimes_Zplus'
0. 'h4/thm/arithmetic/MULT_RIGHT_1_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/num/num_ISO_DEF_0' 'mat/defactorize_factorize'
0. 'h4/thm/integer/INT_ADD_RINV_'#@#variant 'mat/rtimes_rinv'
0. 'h4/thm/complex/COMPLEX_DIV_SUB_'#@#variant 'mat/times_minus_l'
0. 'h4/thm/frac/FRAC_MUL_COMM_' 'mat/sym_rtimes'
0. 'h4/thm/real/ABS_0_'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/arithmetic/DIV_ONE_' 'mat/times_n_SO'
0. 'h4/thm/integer/INT_LT_IMP_LE_' 'mat/lt_to_le'
0. 'h4/thm/numeral/numeral_distrib_0' 'mat/Qtimes_Qone_q'
0. 'h4/thm/real/REAL_OVER1_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/real/REAL_INV_INV_' 'mat/notb_notb'
0. 'h4/thm/complex/COMPLEX_OF_NUM_ADD_'#@#variant 'mat/rtimes_Zplus'
0. 'h4/thm/transc/SIN_BOUNDS_0'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/frac/FRAC_SGN_MUL_' 'mat/eq_times_times_fa'
0. 'h4/thm/integer/INT_NEG_LMUL_' 'mat/Zplus_Zpred'
0. 'h4/thm/extreal/lt_trans_' 'mat/trans_lt'
0. 'h4/thm/divides/PRIME_POS_'#@#variant 'mat/prime_to_lt_SO'#@#variant
0. 'h4/thm/arithmetic/MIN_IDEM_' 'mat/gcd_n_n'
0. 'h4/thm/realax/REAL_ADD_SYM_' 'mat/orbC'
0. 'h4/thm/real/REAL_ADD_COMM_' 'mat/sym_plus'
0. 'h4/thm/frac/FRAC_SGN_MUL_' 'mat/bool_to_nat_andb'
0. 'h4/thm/integer/INT_QUOT_CALCULATE_e4' 'mat/notb_notb'
0. 'h4/thm/frac/FRAC_1_0_' 'mat/not_eq_true_false'
0. 'h4/thm/real/REAL_MUL_RID_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/numeral_bit/NUMERAL_iDIV2_0' 'mat/A_SO'#@#variant
0. 'h4/thm/rat/RAT_SUB_RID_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/complex/COMPLEX_MUL_ASSOC_'#@#variant 'mat/andb_assoc'
0. 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant 'mat/defactorize_factorize'
0. 'h4/thm/realax/TREAL_ADD_SYM_'#@#variant 'mat/sym_plus'
0. 'h4/thm/rat/RAT_ADD_CALCULATE_' 'mat/eq_times_fa_times'
0. 'h4/thm/integer/INT_MUL_SYM_' 'mat/orb_sym'
0. 'h4/thm/extreal/extreal_sub_def_0' 'mat/rtimes_Zplus'
0. 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant 'mat/le_plus_l'
0. 'h4/thm/hreal/HRAT_RDISTRIB_' 'mat/times_exp'
0. 'h4/thm/gcd/LCM_1_e1'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/realax/REAL_MUL_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/real/REAL_POS_'#@#variant 'mat/sieve_sorted'#@#variant
0. 'h4/thm/float/REAL_LE_LCANCEL_IMP_'#@#variant 'mat/le_exp_to_le'#@#variant
0. 'h4/thm/numeral_bit/NUMERAL_DIV_2EXP_0' 'mat/Ztimes_z_OZ'
0. 'h4/thm/integer/INT_ADD_CALCULATE_2' 'mat/eq_times_times_fa'
0. 'h4/thm/integer/INT_MUL_CALCULATE_0' 'mat/eq_times_fa_times'
0. 'h4/thm/transc/SQRT_1_'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/numpair/tri_def_compute_0' 'mat/A_SSO'#@#variant
0. 'h4/thm/realax/TREAL_MUL_ASSOC_'#@#variant 'mat/andb_assoc'
0. 'h4/thm/numeral/numeral_fact_0'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/binary_ieee/rounding_BIJ_0' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/rat/RAT_RDISTRIB_' 'mat/times_exp'
0. 'h4/thm/numeral/numeral_evenodd_1' 'mat/not_nf_elim_not/0'
0. 'h4/thm/prelim/num2ordering_ordering2num_' 'mat/defactorize_factorize'
0. 'h4/thm/transc/EXP_POS_LE_'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/numpair/tri_LT_I_' 'mat/le_S_S'
0. 'h4/thm/real/REAL_MUL_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/integer/TINT_MUL_WELLDEF_'#@#variant 'mat/le_plus'
0. 'h4/thm/transc/SIN_0_'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/float/REAL_LT_LCANCEL_IMP_'#@#variant 'mat/lt_times_to_lt'#@#variant
0. 'h4/thm/integer/INT_NEGNEG_' 'mat/finv_finv'
0. 'h4/thm/numeral/numeral_exp_0'#@#variant 'mat/mod_SO'#@#variant
0. 'h4/thm/extreal/le_infty_tLL' 'mat/divides_SO_n'#@#variant
0. 'h4/thm/real/REAL_MIN_ALT_0' 'mat/le_to_mod'
0. 'h4/thm/integral/LT_0_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/prim_rec/LESS_SUC_REFL_' 'mat/le_n_fact_n'
0. 'h4/thm/arithmetic/ADD_CLAUSES_1' 'mat/Zplus_z_OZ'
0. 'h4/thm/extreal/mul_comm_' 'mat/orb_sym'
0. 'h4/thm/bit/LESS_MULT_MONO2_' 'mat/divides_times'
0. 'h4/thm/extreal/mul_rone_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/rat/RAT_MUL_NUM_CALCULATE_0' 'mat/times_fa_Qtimes'
0. 'h4/thm/arithmetic/ABS_DIFF_ZERO_e1' 'mat/rtimes_one_r'
0. 'h4/thm/realax/TREAL_MUL_WELLDEF_'#@#variant 'mat/lt_plus'
0. 'h4/thm/bit/TWOEXP_MONO_'#@#variant 'mat/lt_to_lt_S_S'
0. 'h4/thm/extreal/min_infty_0' 'mat/rtimes_r_one'
0. 'h4/thm/realax/REAL_ADD_SYM_' 'mat/sym_Ztimes'
0. 'h4/thm/complex/COMPLEX_SUB_LDISTRIB_'#@#variant 'mat/distr_times_minus'
0. 'h4/thm/frac/FRAC_MUL_RID_' 'mat/minus_n_O'
0. 'h4/thm/hrat/TRAT_EQ_TRANS_'#@#variant 'mat/trans_le'
0. 'h4/thm/frac/FRAC_SGN_MUL2_' 'mat/rtimes_Zplus'
0. 'h4/thm/real/REAL_LDISTRIB_' 'mat/distr_times_plus'
0. 'h4/thm/HolSmt/r213_'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/integer/INT_NEG_0_'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/rat/RAT_SUB_LID_' 'mat/Zpred_Zplus_neg_O'
0. 'h4/thm/bit/ZERO_LT_TWOEXP_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/rat/RAT_MUL_ASSOC_' 'mat/assoc_Ztimes'
0. 'h4/thm/bit/BIT_B_'#@#variant 'mat/le_n_Sn'
0. 'h4/thm/real/REAL_OF_NUM_MUL_' 'mat/rtimes_Zplus'
0. 'h4/thm/integer/INT_DIVIDES_TRANS_' 'mat/trans_le'
0. 'h4/thm/integer/INT_MUL_RID_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/complex/COMPLEX_MUL_LNEG_'#@#variant 'mat/Zplus_Zpred'
0. 'h4/thm/HolSmt/r083_' 'mat/assoc_Zplus'
0. 'h4/thm/transc/LN_LT_X_'#@#variant 'mat/lt_sqrt_n'#@#variant
0. 'h4/thm/integer/INT_ADD_REDUCE_1'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/extreal/mul_comm_' 'mat/orbC'
0. 'h4/thm/complex/COMPLEX_OF_NUM_ADD_'#@#variant 'mat/eq_plus_Zplus'
0. 'h4/thm/divides/ZERO_LT_PRIMES_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/transc/EXP_LE_X_'#@#variant 'mat/le_S_times_SSO0'#@#variant
0. 'h4/thm/numeral/numeral_pre_1'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/arithmetic/ZERO_DIV_'#@#variant 'mat/exp_n_O'#@#variant
0. 'h4/thm/extreal/mul_comm_' 'mat/sym_rtimes'
0. 'h4/thm/divides/ZERO_LT_PRIMES_' 'mat/lt_O_fact'
0. 'h4/thm/gcd/LCM_1_0'#@#variant 'mat/Ztimes_Zone_l'
0. 'h4/thm/arithmetic/ADD_0' 'mat/rtimes_one_r'
0. 'h4/thm/complex/COMPLEX_NEG_LMUL_'#@#variant 'mat/Zplus_Zpred'
0. 'h4/thm/rat/rat_dnm_def_' 'mat/numerator_nat_fact_to_fraction'
0. 'h4/thm/ieee/roundmode_BIJ_0' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/real/REAL_MUL_' 'mat/bool_to_nat_andb'
0. 'h4/thm/divides/ONE_LT_PRIMES_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/arithmetic/DIV_ONE_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/toto/all_cpn_distinct_tLL' 'mat/not_eq_true_false'
0. 'h4/thm/integer/INT_ADD_CALCULATE_2' 'mat/rtimes_Zplus'
0. 'h4/thm/real/REAL_LE_INV_'#@#variant 'mat/lt_O_smallest_factor'#@#variant
0. 'h4/thm/hreal/HREAL_ADD_ASSOC_' 'mat/andbA'
0. 'h4/thm/complex/COMPLEX_ADD_RDISTRIB_'#@#variant 'mat/times_exp'
0. 'h4/thm/integer/INT_MUL_COMM_' 'mat/andb_sym'
0. 'h4/thm/complex/COMPLEX_MUL_COMM_'#@#variant 'mat/sym_Zplus'
0. 'h4/thm/real/REAL_ADD_SYM_' 'mat/sym_plus'
0. 'h4/thm/integer/INT_MUL_COMM_' 'mat/sym_Ztimes'
0. 'h4/thm/gcd/GCD_1_e1'#@#variant 'mat/Ztimes_z_OZ'
0. 'h4/thm/extreal/max_comm_' 'mat/orb_sym'
0. 'h4/thm/hreal/HRAT_LT_ADD2_' 'mat/le_plus'
0. 'h4/thm/integer/INT_DIV_1_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/arithmetic/FACT_LESS_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/float/REAL_MUL_AC_1' 'mat/andb_assoc'
0. 'h4/thm/integer/INT_DIV_1_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/integer/INT_LT_TRANS_' 'mat/trans_le'
0. 'h4/thm/real/REAL_NEG_NEG_' 'mat/notb_notb'
0. 'h4/thm/transc/ATN_0'#@#variant 'mat/le_SO_fact'#@#variant
0. 'h4/thm/arithmetic/ABS_DIFF_ZERO_e1' 'mat/gcd_O_n'
0. 'h4/thm/realax/REAL_LDISTRIB_' 'mat/eq_gcd_times_times_times_gcd'
0. 'h4/thm/numeral_bit/NUMERAL_DIV_2EXP_0' 'mat/Qtimes_q_OQ'
0. 'h4/thm/extreal/min_infty_1' 'mat/Qtimes_Qone_q'
0. 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant 'mat/le_pred'
0. 'h4/thm/hrat/TRAT_ADD_WELLDEFINED2_'#@#variant 'mat/lt_times'
0. 'h4/thm/arithmetic/SUB_0_e1' 'mat/rtimes_r_one'
0. 'h4/thm/transc/ATN_0'#@#variant 'mat/lt_O_teta'
0. 'h4/thm/integer/TINT_MUL_ASSOC_'#@#variant 'mat/assoc_Ztimes'
0. 'h4/thm/integer/INT_LE_TRANS_' 'mat/trans_divides'
0. 'h4/thm/hrat/HRAT_ADD_SYM_' 'mat/orb_sym'
0. 'h4/thm/numeral/numeral_MAX_0' 'mat/Ztimes_Zone_l'
0. 'h4/thm/rat/RAT_SUB_CALCULATE_' 'mat/eq_times_times_fa'
0. 'h4/thm/real/REAL_MUL_COMM_' 'mat/andb_sym'
0. 'h4/thm/HolSmt/r223_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/integer/TINT_ADD_SYM_'#@#variant 'mat/orb_sym'
0. 'h4/thm/integer/TINT_LT_TRANS_'#@#variant 'mat/trans_le'
0. 'h4/thm/extreal/max_comm_' 'mat/orbC'
0. 'h4/thm/hreal/HREAL_SUB_ADD_' 'mat/plus_minus_m_m'
0. 'h4/thm/binary_ieee/rounding_distinct_4' 'mat/not_eq_true_false'
0. 'h4/thm/real/REAL_INV_0_'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/binary_ieee/rounding_distinct_3' 'mat/not_eq_true_false'
0. 'h4/thm/binary_ieee/rounding_distinct_2' 'mat/not_eq_true_false'
0. 'h4/thm/frac/frac_bij_0'#@#variant 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/binary_ieee/rounding_distinct_1' 'mat/not_eq_true_false'
0. 'h4/thm/binary_ieee/rounding_distinct_0' 'mat/not_eq_true_false'
0. 'h4/thm/extreal/min_infty_0' 'mat/Ztimes_Zone_r'
0. 'h4/thm/extreal/div_one_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/numeral/iSQR_' 'mat/times_SSO_n'#@#variant
0. 'h4/thm/integerRing/int_calculate_12' 'mat/Zopp_Zopp'
0. 'h4/thm/extreal/max_comm_' 'mat/sym_rtimes'
0. 'h4/thm/arithmetic/MULT_COMM_' 'mat/andbC'
0. 'h4/thm/arithmetic/ADD_0_' 'mat/Zplus_z_OZ'
0. 'h4/thm/integer/INT_SUB_REDUCE_0'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/frac/FRAC_AINV_ONTO_' 'mat/injective_nth_prime'
0. 'h4/thm/realax/REAL_LT_REFL_' 'mat/Not_lt_n_n'
0. 'h4/thm/arithmetic/ABS_DIFF_ZERO_0' 'mat/Ztimes_Zone_r'
0. 'h4/thm/arithmetic/MULT_0' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant 'mat/le_exp'#@#variant
0. 'h4/thm/rat/RAT_ADD_ASSOC_' 'mat/andbA'
0. 'h4/thm/frac/FRAC_ADD_COMM_' 'mat/sym_Ztimes'
0. 'h4/thm/bit/ONE_LE_TWOEXP_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/extreal/mul_rzero_'#@#variant 'mat/Ztimes_z_OZ'
0. 'h4/thm/float/REAL_MUL_AC_1' 'mat/andbA'
0. 'h4/thm/HolSmt/r080_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/extreal/add_rzero_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/extreal/min_comm_' 'mat/sym_gcd'
0. 'h4/thm/integer/INT_MUL_REDUCE_1'#@#variant 'mat/exp_SO_n'#@#variant
0. 'h4/thm/extreal/le_rmul_imp_'#@#variant 'mat/lt_exp1'#@#variant
0. 'h4/thm/extreal/add_rzero_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/real/REAL_POS_POS_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/arithmetic/MOD_1_'#@#variant 'mat/bc_n_O'#@#variant
0. 'h4/thm/arithmetic/LESS_EQ_TRANS_' 'mat/trans_divides'
0. 'h4/thm/numeral/numeral_mult_1' 'mat/Ztimes_z_OZ'
0. 'h4/thm/integer/INT_MOD_CALCULATE_2' 'mat/Qinv_Qinv'
0. 'h4/thm/arithmetic/EVEN_DOUBLE_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/util_prob/lg_1_'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/real/REAL_MUL_RID_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/hrat/HRAT_MUL_LID_' 'mat/gcd_O_n'
0. 'h4/thm/integer/INT_MUL_CALCULATE_0' 'mat/eq_times_times_fa'
0. 'h4/thm/extreal/min_infty_2' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/hrat/TRAT_MUL_SYM_EQ_'#@#variant 'mat/sym_gcd'
0. 'h4/thm/rat/RAT_AINV_LMUL_' 'mat/Zplus_Zpred'
0. 'h4/thm/integer/INT_ADD_SYM_' 'mat/sym_Zplus'
0. 'h4/thm/hreal/HREAL_MUL_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/transc/LN_POS_'#@#variant 'mat/lt_SO_n_to_lt_O_pred_n'#@#variant
0. 'h4/thm/arithmetic/MAX_0_0' 'mat/Zplus_z_OZ'
0. 'h4/thm/frac/FRAC_MUL_ASSOC_' 'mat/andbA'
0. 'h4/thm/integer/INT_SUB_RZERO_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/ieee/num2ccode_ccode2num_' 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/integer/INT_ADD_' 'mat/eq_plus_Zplus'
0. 'h4/thm/complex/COMPLEX_MUL_COMM_'#@#variant 'mat/sym_times'
0. 'h4/thm/HolSmt/r221_' 'mat/Zsucc_Zplus_pos_O'
0. 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant 'mat/finv_finv'
0. 'h4/thm/prim_rec/WF_LESS_' 'mat/antisymmetric_le'
0. 'h4/thm/realax/TREAL_NEG_WELLDEF_'#@#variant 'mat/le_to_le_pred'
0. 'h4/thm/extreal/sub_rzero_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/divides/INDEX_LESS_PRIMES_' 'mat/le_n_Sn'
0. 'h4/thm/arithmetic/MULT_0' 'mat/mod_O_n'
0. 'h4/thm/transc/LN_EXP_' 'mat/pred_Sn'
0. 'h4/thm/HolSmt/r127_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/gcd/LCM_0_0' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/transc/LN_POS_'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'h4/thm/extreal/sub_zero_lt_'#@#variant 'mat/lt_to_lt_O_minus'#@#variant
0. 'h4/thm/arithmetic/MIN_COMM_' 'mat/sym_plus'
0. 'h4/thm/real/REAL_MUL_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/hrat/TRAT_INV_WELLDEFINED_'#@#variant 'mat/le_to_le_pred'
0. 'h4/thm/integer/INT_LDISTRIB_' 'mat/distr_times_minus'
0. 'h4/thm/arithmetic/ADD_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/numeral/numeral_MAX_1' 'mat/Ztimes_Zone_r'
0. 'h4/thm/arithmetic/ADD_SYM_' 'mat/sym_Ztimes'
0. 'h4/thm/numeral/numeral_MAX_1' 'mat/rtimes_r_one'
0. 'h4/thm/hrat/TRAT_MUL_SYM_EQ_'#@#variant 'mat/sym_plus'
0. 'h4/thm/realax/TREAL_MUL_ASSOC_'#@#variant 'mat/andbA'
0. 'h4/thm/integer/INT_MUL_RZERO_'#@#variant 'mat/Qtimes_q_OQ'
0. 'h4/thm/arithmetic/ADD_0' 'mat/Qtimes_Qone_q'
0. 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant 'mat/le_log'#@#variant
0. 'h4/thm/llist/LAPPEND_NIL_2ND_' 'mat/append_nil'
0. 'h4/thm/numRing/num_rewrites_tLRLRRRRR' 'mat/Ztimes_z_OZ'
0. 'h4/thm/arithmetic/SUB_0_e1' 'mat/Ztimes_Zone_r'
0. 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL' 'mat/finv_finv'
0. 'h4/thm/real/REAL_ADD_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/hreal/HRAT_LT_ADD2_' 'mat/divides_times'
0. 'h4/thm/integer/INT_ADD_RID_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/integerRing/int_calculate_12' 'mat/finv_finv'
0. 'h4/thm/numpair/tri_le_' 'mat/le_n_fact_n'
0. 'h4/thm/hreal/HRAT_LT_NE_' 'mat/lt_to_not_eq'
0. 'h4/thm/frac/FRAC_SGN_MUL2_' 'mat/eq_plus_Zplus'
0. 'h4/thm/arithmetic/ABS_DIFF_SYM_' 'mat/andb_sym'
0. 'h4/thm/real/REAL_INV_INV_' 'mat/eq_notb_notb_b_b'
0. 'h4/thm/ieee/Exponent_'#@#variant 'mat/numerator_nat_fact_to_fraction'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRL' 'mat/Qinv_Qtimes\''
0. 'h4/thm/arithmetic/LESS_EQ_SUC_REFL_' 'mat/le_n_fact_n'
0. 'h4/thm/hrat/HRAT_MUL_ASSOC_' 'mat/andbA'
0. 'h4/thm/rat/RAT_MUL_RID_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/transc/SQRT_1_'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/float/REAL_MUL_AC_0' 'mat/sym_Zplus'
0. 'h4/thm/integerRing/int_rewrites_tLRRRRL' 'mat/rtimes_Zplus'
0. 'h4/thm/real/REAL_ADD_LDISTRIB_' 'mat/distr_times_plus'
0. 'h4/thm/integer/INT_LET_ANTISYM_' 'mat/le_to_not_lt'
0. 'h4/thm/extreal/max_refl_' 'mat/orb_refl'
0. 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant 'mat/defactorize_factorize'
0. 'h4/thm/gcd/GCD_SYM_' 'mat/orbC'
0. 'h4/thm/integer/INT_LT_ADD2_' 'mat/le_times'
0. 'h4/thm/complex/MODU_NUM_'#@#variant 'mat/numerator_nat_fact_to_fraction'
0. 'h4/thm/complex/COMPLEX_MUL_COMM_'#@#variant 'mat/andbC'
0. 'h4/thm/arithmetic/ABS_DIFF_ZERO_0' 'mat/rtimes_r_one'
0. 'h4/thm/poly/POLY_DIVIDES_ADD_'#@#variant 'mat/divides_minus'
0. 'h4/thm/integer/INT_ADD_REDUCE_2'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant 'mat/finv_finv'
0. 'h4/thm/real/REAL_POS_ID_'#@#variant 'mat/prime_to_smallest_factor'
0. 'h4/thm/extreal/mul_rone_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/ieee/ccode_distinct_4' 'mat/not_eq_true_false'
0. 'h4/thm/ieee/ccode_distinct_3' 'mat/not_eq_true_false'
0. 'h4/thm/ieee/ccode_distinct_2' 'mat/not_eq_true_false'
0. 'h4/thm/ieee/ccode_distinct_1' 'mat/not_eq_true_false'
0. 'h4/thm/ieee/ccode_distinct_0' 'mat/not_eq_true_false'
0. 'h4/thm/integer/INT_NEG_MINUS1_'#@#variant 'mat/eq_B_B1'
0. 'h4/thm/numeral/numeral_iisuc_0'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/complex/COMPLEX_MUL_ASSOC_'#@#variant 'mat/assoc_Ztimes'
0. 'h4/thm/bit/ZERO_LT_TWOEXP_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/realax/TREAL_LDISTRIB_'#@#variant 'mat/distr_times_minus'
0. 'h4/thm/real/REAL_SUB_LDISTRIB_' 'mat/distr_times_plus'
0. 'h4/thm/extreal/le_infty_tLL' 'mat/le_O_n'
0. 'h4/thm/list/NOT_CONS_NIL_' 'mat/nil_cons'
0. 'h4/thm/real/ABS_POS_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/integer/INT_MUL_CALCULATE_0' 'mat/rtimes_Zplus'
0. 'h4/thm/transc/EXP_MONO_IMP_' 'mat/ltS'
0. 'h4/thm/real/REAL_ADD_SYM_' 'mat/sym_gcd'
0. 'h4/thm/numeral/internal_mult_characterisation_0' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/complex/COMPLEX_OF_REAL_MUL_'#@#variant 'mat/eq_times_fa_times'
0. 'h4/thm/extreal/extreal_mul_def_e8' 'mat/eq_plus_Zplus'
0. 'h4/thm/arithmetic/MOD_LESS_EQ_'#@#variant 'mat/le_div'#@#variant
0. 'h4/thm/gcd/GCD_0R_' 'mat/rtimes_r_one'
0. 'h4/thm/transc/LN_EXP_' 'mat/Zsucc_Zpred'
0. 'h4/thm/util_prob/lg_2_'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/HolSmt/r127_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/arithmetic/DIV_ONE_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/rat/RAT_MUL_LID_'#@#variant 'mat/Ztimes_Zone_l'
0. 'h4/thm/real/REAL_ADD_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/integerRing/int_calculate_4' 'mat/bool_to_nat_andb'
0. 'h4/thm/arithmetic/EVEN_EXP_'#@#variant 'mat/lt_O_ord_rem'#@#variant
0. 'h4/thm/real/REAL_POS_MONO_' 'mat/ltS'
0. 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant 'mat/lt_exp'#@#variant
0. 'h4/thm/rat/RAT_ADD_RID_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/integerRing/int_calculate_0' 'mat/bool_to_nat_andb'
0. 'h4/thm/hreal/HREAL_MUL_ASSOC_' 'mat/andb_assoc'
0. 'h4/thm/float/INFINITY_NOT_NAN_e1' 'mat/not_prime_SO'#@#variant
0. 'h4/thm/extreal/add_assoc_' 'mat/assoc_plus'
0. 'h4/thm/integer/TINT_LT_TRANS_'#@#variant 'mat/trans_divides'
0. 'h4/thm/frac/FRAC_ADD_RID_' 'mat/plus_n_O'
0. 'h4/thm/hrat/TRAT_ADD_SYM_EQ_'#@#variant 'mat/sym_Ztimes'
0. 'h4/thm/binary_ieee/float_value_distinct_1' 'mat/not_eq_OZ_neg'
0. 'h4/thm/realax/TREAL_MUL_WELLDEF_'#@#variant 'mat/le_plus'
0. 'h4/thm/bit/TWOEXP_MONO_'#@#variant 'mat/le_pred'
0. 'h4/thm/binary_ieee/float_value_distinct_0' 'mat/not_eq_OZ_neg'
0. 'h4/thm/real/REAL_DIV_LZERO_'#@#variant 'mat/mod_O_n'
0. 'h4/thm/integerRing/int_rewrites_tLL' 'mat/rtimes_Zplus'
0. 'h4/thm/hreal/HRAT_LT_NE_' 'mat/eq_to_not_lt'
0. 'h4/thm/gcd/LCM_COMM_' 'mat/andb_sym'
0. 'h4/thm/extreal/le_sub_imp_' 'mat/le_plus_to_minus_r'
0. 'h4/thm/poly/POLY_DIVIDES_REFL_'#@#variant 'mat/divides_n_n'
0. 'h4/thm/frac/FRAC_SGN_MUL2_' 'mat/times_fa_Qtimes'
0. 'h4/thm/patricia_casts/num_to_string_string_to_num_'#@#variant 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/int_bitwise/int_not_not_' 'mat/opposite_direction_idempotent'
0. 'h4/thm/real/REAL_LE_INV_'#@#variant 'mat/lt_SO_smallest_factor'#@#variant
0. 'h4/thm/real/mult_ints_0' 'mat/bool_to_nat_andb'
0. 'h4/thm/arithmetic/ADD_CLAUSES_1' 'mat/minus_n_O'
0. 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/real/REAL_LE_SQUARE_'#@#variant 'mat/id_axiom'
0. 'h4/thm/arithmetic/MAX_0_e1' 'mat/Qtimes_Qone_q'
0. 'h4/thm/intExtension/INT_ABS_CALCULATE_POS_'#@#variant 'mat/prime_to_smallest_factor'
0. 'h4/thm/integer/INT_MAX_NUM_' 'mat/eq_times_times_fa'
0. 'h4/thm/integer/INT_ABS_POS_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/integer_word/ONE_LE_TWOEXP_'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/hrat/TRAT_MUL_WELLDEFINED2_'#@#variant 'mat/lt_times'
0. 'h4/thm/integer/INT_MUL_LZERO_'#@#variant 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/frac/FRAC_MUL_RID_' 'mat/Ztimes_Zone_r'
0. 'h4/thm/real/REAL_LT_ADD2_' 'mat/le_plus'
0. 'h4/thm/integer/INT_ADD_REDUCE_0'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/numRing/num_rewrites_tLRL' 'mat/Zplus_z_OZ'
0. 'h4/thm/integer/INT_MUL_RID_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/transc/ATN_TAN_' 'mat/pred_Sn'
0. 'h4/thm/integer/INT_DIV_1_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/float/EXP_GT_ZERO_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/arithmetic/MIN_COMM_' 'mat/orbC'
0. 'h4/thm/int_bitwise/int_not_not_' 'mat/notb_notb'
0. 'h4/thm/rat/RAT_EQUIV_REF_' 'mat/divides_n_n'
0. 'h4/thm/rat/RAT_MUL_CALCULATE_' 'mat/eq_plus_Zplus'
0. 'h4/thm/integer/INT_ADD_REDUCE_2'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/float/twogz_'#@#variant 'mat/sieve_sorted'#@#variant
0. 'h4/thm/integral/LT_0_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/arithmetic/ADD_CLAUSES_0' 'mat/rtimes_one_r'
0. 'h4/thm/gcd/LCM_1_e1'#@#variant 'mat/minus_n_O'
0. 'h4/thm/extreal/extreal_mul_def_2'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/HolSmt/r081_' 'mat/andb_sym'
0. 'h4/thm/realax/REAL_LDISTRIB_' 'mat/distr_times_plus'
0. 'h4/thm/rat/RAT_MUL_COMM_' 'mat/andb_sym'
0. 'h4/thm/arithmetic/MAX_IDEM_' 'mat/gcd_n_n'
0. 'h4/thm/quote/index_distinct_e2' 'mat/not_eq_O_S'
0. 'h4/thm/integer/INT_SUB_REDUCE_0'#@#variant 'mat/minus_n_O'
0. 'h4/thm/transc/ATN_BOUNDS_0'#@#variant 'mat/lt_O_S'
0. 'h4/thm/rat/RAT_MUL_RID_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/rat/RAT_MUL_CALCULATE_' 'mat/bool_to_nat_andb'
0. 'h4/thm/HolSmt/r079_'#@#variant 'mat/Qtimes_Qone_q'
0. 'h4/thm/integer/INT_NEGNEG_' 'mat/Qinv_Qinv'
0. 'h4/thm/num/SUC_REP_DEF_0' 'mat/injective_notb'
0. 'h4/thm/extreal/le_lmul_imp_'#@#variant 'mat/lt_exp'#@#variant
0. 'h4/thm/integer/TINT_ADD_SYM_'#@#variant 'mat/sym_times'
0. 'h4/thm/rat/RAT_EQUIV_TRANS_' 'mat/trans_divides'
0. 'h4/thm/int_bitwise/int_not_not_' 'mat/rinv_rinv'
0. 'h4/thm/complex/COMPLEX_MUL_COMM_'#@#variant 'mat/sym_rtimes'
0. 'h4/thm/ieee/ccode_distinct_e5' 'mat/not_eq_true_false'
0. 'h4/thm/integer/INT_RDISTRIB_' 'mat/times_minus_l'
0. 'h4/thm/realax/TREAL_MUL_WELLDEFR_'#@#variant 'mat/le_plus_l'
0. 'h4/thm/realax/TREAL_ADD_ASSOC_'#@#variant 'mat/assoc_Ztimes'
0. 'h4/thm/realax/TREAL_ADD_SYM_'#@#variant 'mat/andbC'
0. 'h4/thm/patricia/BRANCHING_BIT_SYM_' 'mat/sym_plus'
0. 'h4/thm/rat/RAT_LEQ_TRANS_' 'mat/trans_lt'
0. 'h4/thm/extreal/le_trans_' 'mat/trans_divides'
0. 'h4/thm/real/REAL_LET_ANTISYM_' 'mat/lt_to_not_le'
0. 'h4/thm/numpair/nsnd_le_' 'mat/le_pred_n'
0. 'h4/thm/arithmetic/MULT_RIGHT_1_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/numeral/numeral_distrib_34' 'mat/not_prime_O'
0. 'h4/thm/integer/INT_QUOT_CALCULATE_e4' 'mat/finv_finv'
0. 'h4/thm/integer/TINT_LDISTRIB_'#@#variant 'mat/distr_times_plus'
0. 'h4/thm/bit/ZERO_LT_TWOEXP_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/integer/INT_LT_LADD_IMP_' 'mat/lt_plus_r'
0. 'h4/thm/transc/SIN_BOUNDS_0'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/transc/RPOW_SUB_' 'mat/exp_plus_times'
0. 'h4/thm/integer/TINT_MUL_WELLDEF_'#@#variant 'mat/le_times'
0. 'h4/thm/frac/FRAC_AINV_RMUL_' 'mat/plus_n_Sm'
0. 'h4/thm/rat/RAT_ADD_COMM_' 'mat/sym_plus'
0. 'h4/thm/extreal/mul_assoc_' 'mat/andbA'
0. 'h4/thm/numeral/numeral_evenodd_e5' 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/complex/COMPLEX_OF_REAL_DIV_'#@#variant 'mat/times_fa_Qtimes'
0. 'h4/thm/hrat/HRAT_ADD_SYM_' 'mat/sym_plus'
0. 'h4/thm/extreal/extreal_inv_def_0'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/real/REAL_LE_ADD2_' 'mat/divides_times'
0. 'h4/thm/real/REAL_NEGNEG_' 'mat/Zopp_Zopp'
0. 'h4/thm/prelim/ordering_distinct_1' 'mat/not_eq_true_false'
0. 'h4/thm/rat/RAT_ADD_CALCULATE_' 'mat/eq_times_times_fa'
0. 'h4/thm/prelim/ordering_distinct_0' 'mat/not_eq_true_false'
0. 'h4/thm/integer/INT_MOD_CALCULATE_2' 'mat/finv_finv'
0. 'h4/thm/transc/tan_' 'mat/eq_B1_times_B_split1_B_split2'
0. 'h4/thm/integer/INT_ADD_SYM_' 'mat/orb_sym'
0. 'h4/thm/extreal/extreal_mul_def_3'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/rat/RAT_MUL_CALCULATE_' 'mat/times_Qtimes'
0. 'h4/thm/realax/TREAL_MUL_ASSOC_'#@#variant 'mat/assoc_times'
0. 'h4/thm/arithmetic/SUB_PLUS_' 'mat/exp_exp_times'
0. 'h4/thm/frac/FRAC_MUL_COMM_' 'mat/sym_Zplus'
0. 'h4/thm/bit/SUC_SUB_'#@#variant 'mat/orb_not_b_b'
0. 'h4/thm/real/REAL_SUB_LDISTRIB_' 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/arithmetic/MIN_0_0' 'mat/times_n_O'
0. 'h4/thm/real/REAL_IMP_MIN_LE2_' 'mat/le_times'
0. 'h4/thm/patricia/BRANCHING_BIT_SYM_' 'mat/andbC'
0. 'h4/thm/rat/RAT_SUB_RDISTRIB_' 'mat/times_plus_l'
0. 'h4/thm/integer/TINT_ADD_SYM_'#@#variant 'mat/sym_Zplus'
0. 'h4/thm/real/REAL_LTE_TRANS_' 'mat/lt_to_le_to_lt'
0. 'h4/thm/complex/COMPLEX_OF_REAL_ADD_'#@#variant 'mat/eq_times_fa_times'
0. 'h4/thm/frac/FRAC_MUL_COMM_' 'mat/orbC'
0. 'h4/thm/arithmetic/PRE_SUB_' 'mat/Zplus_Zpred'
0. 'h4/thm/rat/RAT_ADD_COMM_' 'mat/sym_Zplus'
0. 'h4/thm/toto/TO_charOrd_' 'mat/transitiveb_same_atom'
0. 'h4/thm/realax/TREAL_EQ_REFL_'#@#variant 'mat/divides_n_n'
0. 'h4/thm/numeral/iDUB_removal_e2' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/divides/ONE_DIVIDES_ALL_'#@#variant 'mat/le_O_n'
0. 'h4/thm/realax/TREAL_EQ_TRANS_'#@#variant 'mat/trans_le'
0. 'h4/thm/integer/INT_ABS_LT0_'#@#variant 'mat/not_le_Sn_O'
0. 'h4/thm/arithmetic/ADD_CLAUSES_2' 'mat/Zplus_Zpred'
0. 'h4/thm/extreal/extreal_exp_def_1' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/realax/REAL_LDISTRIB_' 'mat/distr_Ztimes_Zplus'
0. 'h4/thm/numeral/numeral_MAX_0' 'mat/gcd_O_n'
0. 'h4/thm/arithmetic/ADD_COMM_' 'mat/andbC'
0. 'h4/thm/integer/INT_LT_TRANS_' 'mat/trans_divides'
0. 'h4/thm/extreal/extreal_abs_def_1' 'mat/B_SSSO'#@#variant
0. 'h4/thm/hreal/HRAT_MUL_RID_' 'mat/div_SO'#@#variant
0. 'h4/thm/real/REAL_LE_MAX1_' 'mat/le_plus_n_r'
0. 'h4/thm/complex/COMPLEX_NEG_ADD_'#@#variant 'mat/Zopp_Zplus'
0. 'h4/thm/arithmetic/ADD_0_' 'mat/exp_n_SO'#@#variant
0. 'h4/thm/integer/INT_DIVIDES_1_0'#@#variant 'mat/divides_SO_n'#@#variant
0. 'h4/thm/hreal/HRAT_MUL_RID_' 'mat/minus_n_O'
0. 'h4/thm/real/REAL_SUB_RZERO_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant 'mat/lt_to_lt_S_S'
0. 'h4/thm/list/APPEND_e1' 'mat/cons_append_commute'
0. 'h4/thm/extreal/extreal_add_def_0' 'mat/eq_times_times_fa'
0. 'h4/thm/frac/FRAC_ADD_RID_' 'mat/minus_n_O'
0. 'h4/thm/real/REAL_RDISTRIB_' 'mat/times_plus_l'
0. 'h4/thm/transc/LN_POS_'#@#variant 'mat/le_SSO_fact'#@#variant
0. 'h4/thm/hrat/HRAT_MUL_SYM_' 'mat/sym_Ztimes'
0. 'h4/thm/extreal/add_comm_' 'mat/sym_gcd'
0. 'h4/thm/arithmetic/ABS_DIFF_COMM_' 'mat/orb_sym'
0. 'h4/thm/numeral/numeral_suc_0'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/extreal/lte_trans_' 'mat/lt_to_le_to_lt'
0. 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant 'mat/lt_times_r1'#@#variant
0. 'h4/thm/hrat/TRAT_MUL_WELLDEFINED_'#@#variant 'mat/le_plus_l'
0. 'h4/thm/real/REAL_OF_NUM_ADD_' 'mat/times_fa_Qtimes'
0. 'h4/thm/extreal/extreal_abs_def_e2' 'mat/A_SO'#@#variant
0. 'h4/thm/hreal/HREAL_ADD_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/gcd/GCD_0R_' 'mat/Ztimes_Zone_r'
0. 'h4/thm/HolSmt/r223_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/HolSmt/r080_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/divides/DIVIDES_ADD_1_' 'mat/divides_minus'
0. 'h4/thm/real/REAL_OF_NUM_ADD_' 'mat/bool_to_nat_andb'
0. 'h4/thm/rat/RAT_AINV_ADD_' 'mat/Qinv_Qtimes\''
0. 'h4/thm/integer/INT_QUOT_1_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/real/REAL_ADD_' 'mat/times_Qtimes'
0. 'h4/thm/integerRing/int_rewrites_tLL' 'mat/times_fa_Qtimes'
0. 'h4/thm/real/REAL_OF_NUM_ADD_' 'mat/times_Qtimes'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRL' 'mat/times_n_SO'#@#variant
0. 'h4/thm/arithmetic/LESS_MONO_MULT2_' 'mat/lt_plus'
0. 'h4/thm/real/NUM_FLOOR_EQNS_0' 'mat/factorize_defactorize'
0. 'h4/thm/real/REAL_MAX_ADD_' 'mat/times_plus_l'
0. 'h4/thm/divides/primePRIMES_' 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/binary_ieee/rounding_BIJ_0' 'mat/defactorize_factorize'
0. 'h4/thm/real/REAL_IMP_MIN_LE2_' 'mat/lt_plus'
0. 'h4/thm/float/REAL_LT_RCANCEL_IMP_'#@#variant 'mat/le_exp_to_le1'#@#variant
0. 'h4/thm/integer/INT_MUL_RID_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/rat/RAT_ADD_CALCULATE_' 'mat/eq_plus_Zplus'
0. 'h4/thm/arithmetic/EXP_1_e1'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/integer/INT_MOD_CALCULATE_2' 'mat/notb_notb'
0. 'h4/thm/frac/FRAC_DNMPOS_'#@#variant 'mat/sieve_sorted'#@#variant
0. 'h4/thm/numpair/tri_def_e1' 'mat/factS'
0. 'h4/thm/real/REAL_ADD_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/real/REAL_ADD_LDISTRIB_' 'mat/distr_times_minus'
0. 'h4/thm/complex/COMPLEX_MUL_COMM_'#@#variant 'mat/andb_sym'
0. 'h4/thm/real/REAL_MUL_COMM_' 'mat/sym_Ztimes'
0. 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL' 'mat/rinv_rinv'
0. 'h4/thm/arithmetic/MAX_COMM_' 'mat/andbC'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRL' 'mat/Qinv_Qtimes\''
0. 'h4/thm/rat/RAT_ADD_CALCULATE_' 'mat/bool_to_nat_andb'
0. 'h4/thm/float/REAL_LE_LCANCEL_IMP_'#@#variant 'mat/lt_times_n_to_lt_r'#@#variant
0. 'h4/thm/arithmetic/ABS_DIFF_COMM_' 'mat/sym_plus'
0. 'h4/thm/transc/SQRT_POS_LE_'#@#variant 'mat/lt_SO_smallest_factor'#@#variant
0. 'h4/thm/real/REAL_LE_RMUL_IMP_'#@#variant 'mat/lt_exp1'#@#variant
0. 'h4/thm/real/REAL_LE_LMUL_IMP_'#@#variant 'mat/le_log'#@#variant
0. 'h4/thm/extreal/le_lsub_imp_' 'mat/monotonic_le_minus_r'
0. 'h4/thm/numRing/num_rewrites_tRRLRRRRRR' 'mat/A_SSO'#@#variant
0. 'h4/thm/integral/LT_0_' 'mat/lt_O_fact'
0. 'h4/thm/integer/INT_ABS_POS_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/integer/TINT_MUL_SYM_'#@#variant 'mat/sym_gcd'
0. 'h4/thm/transc/EXP_POS_LE_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/extreal/max_infty_0' 'mat/Qtimes_q_OQ'
0. 'h4/thm/frac/FRAC_AINV_0_' 'mat/A_SSO'#@#variant
0. 'h4/thm/extreal/max_infty_2' 'mat/gcd_O_n'
0. 'h4/thm/numeral/numeral_exp_0'#@#variant 'mat/bc_n_O'#@#variant
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRL' 'mat/div_SO'#@#variant
0. 'h4/thm/extreal/extreal_distinct_1' 'mat/not_eq_denominator_nfa_zero'
0. 'h4/thm/integer/TINT_LDISTRIB_'#@#variant 'mat/eq_gcd_times_times_times_gcd'
0. 'h4/thm/gcd/gcd_def_compute_0' 'mat/Ztimes_Zone_l'
0. 'h4/thm/complex/COMPLEX_OF_REAL_SUB_'#@#variant 'mat/times_Qtimes'
0. 'h4/thm/extreal/max_infty_e3' 'mat/exp_n_SO'#@#variant
0. 'h4/thm/rat/RAT_MUL_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/real/REAL_MUL_LNEG_' 'mat/Zplus_Zsucc'
0. 'h4/thm/real/REAL_ABS_POS_'#@#variant 'mat/lt_SO_nth_prime_n'#@#variant
0. 'h4/thm/float/REAL_MUL_AC_0' 'mat/sym_gcd'
0. 'h4/thm/real/REAL_ADD_RID_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/float/REAL_LT_RCANCEL_IMP_'#@#variant 'mat/lt_times_n_to_lt'#@#variant
0. 'h4/thm/real/REAL_ADD_LDISTRIB_' 'mat/eq_gcd_times_times_times_gcd'
0. 'h4/thm/extreal/extreal_add_def_1' 'mat/mod_O_n'
0. 'h4/thm/arithmetic/EVEN_DOUBLE_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/rat/RAT_MUL_RID_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/rat/RAT_MUL_COMM_' 'mat/orb_sym'
0. 'h4/thm/integer_word/ONE_LE_TWOEXP_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/real/REAL_ABS_POS_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/integer/INT_ABS_POS_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/HolSmt/r223_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/binary_ieee/float_value_distinct_e2' 'mat/not_eq_true_false'
0. 'h4/thm/rat/RAT_AINV_0_'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/integerRing/int_rewrites_tLRRRRL' 'mat/times_fa_Qtimes'
0. 'h4/thm/numeral_bit/NUMERAL_TIMES_2EXP_0' 'mat/Ztimes_z_OZ'
0. 'h4/thm/real/REAL_MIN_REFL_' 'mat/gcd_n_n'
0. 'h4/thm/arithmetic/SUB_0_0' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/numRing/num_rewrites_tLRL' 'mat/minus_n_O'
0. 'h4/thm/integer/TINT_MUL_SYM_'#@#variant 'mat/sym_plus'
0. 'h4/thm/rat/RAT_ADD_CALCULATE_' 'mat/times_Qtimes'
0. 'h4/thm/real/REAL_SUB_LDISTRIB_' 'mat/eq_gcd_times_times_times_gcd'
0. 'h4/thm/frac/FRAC_SGN_MUL2_' 'mat/bool_to_nat_andb'
0. 'h4/thm/rat/RAT_SGN_MUL_' 'mat/eq_plus_Zplus'
0. 'h4/thm/complex/RE_COMPLEX_OF_REAL_'#@#variant 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/frac/FRAC_MUL_COMM_' 'mat/sym_times'
0. 'h4/thm/numeral/iDUB_removal_e2' 'mat/A_SO'#@#variant
0. 'h4/thm/arithmetic/ADD_COMM_' 'mat/sym_times'
0. 'h4/thm/hrat/HRAT_MUL_SYM_' 'mat/andbC'
0. 'h4/thm/numeral/exactlog_def_0' 'mat/A_SSO'#@#variant
0. 'h4/thm/transc/LN_LT_X_'#@#variant 'mat/divides_smallest_factor_n'#@#variant
0. 'h4/thm/integer/INT_ADD_REDUCE_1'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/arithmetic/ABS_DIFF_COMM_' 'mat/sym_Zplus'
0. 'h4/thm/realax/TREAL_MUL_SYM_'#@#variant 'mat/andb_sym'
0. 'h4/thm/arithmetic/MAX_COMM_' 'mat/sym_plus'
0. 'h4/thm/integer/INT_LTE_TRANS_' 'mat/lt_to_le_to_lt'
0. 'h4/thm/real/REAL_ABS_0_'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/rat/RAT_MUL_COMM_' 'mat/orbC'
0. 'h4/thm/transc/EXP_MONO_IMP_' 'mat/le_pred'
0. 'h4/thm/rat/RAT_' 'mat/defactorize_factorize'
0. 'h4/thm/real/ABS_MUL_' 'mat/Zopp_Zplus'
0. 'h4/thm/integer/TINT_ADD_ASSOC_'#@#variant 'mat/assoc_plus'
0. 'h4/thm/real/REAL_OVER1_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/hreal/HREAL_MUL_SYM_' 'mat/orb_sym'
0. 'h4/thm/string_num/n2s_s2n_'#@#variant 'mat/defactorize_factorize'
0. 'h4/thm/string/EXPLODE_IMPLODE_'#@#variant 'mat/pred_Sn'
0. 'h4/thm/rat/RAT_MUL_COMM_' 'mat/sym_rtimes'
0. 'h4/thm/arithmetic/LESS_EQ_LESS_EQ_MONO_' 'mat/le_times'
0. 'h4/thm/integer/INT_ADD_' 'mat/times_fa_Qtimes'
0. 'h4/thm/HolSmt/r214_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/rat/RAT_ADD_NUM_CALCULATE_0' 'mat/bool_to_nat_andb'
0. 'h4/thm/transc/EXP_POS_LE_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/realax/REAL_MUL_SYM_' 'mat/sym_Zplus'
0. 'h4/thm/divides/primePRIMES_' 'mat/not_nf_elim_not/1'
0. 'h4/thm/real/REAL_MUL_RZERO_'#@#variant 'mat/times_n_O'
0. 'h4/thm/real/REAL_LET_TOTAL_' 'mat/not_lt_to_le'
0. 'h4/thm/rat/RAT_SUB_RID_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/complex/COMPLEX_OF_REAL_DIV_'#@#variant 'mat/bool_to_nat_andb'
0. 'h4/thm/integer/INT_DIV_1_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/transc/SIN_BOUNDS_0'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/rat/RAT_MUL_NUM_CALCULATE_0' 'mat/times_Qtimes'
0. 'h4/thm/extreal/extreal_mul_def_3'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/divides/DIVIDES_TRANS_' 'mat/trans_lt'
0. 'h4/thm/arithmetic/MIN_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/complex/COMPLEX_OF_REAL_MUL_'#@#variant 'mat/eq_times_times_fa'
0. 'h4/thm/extreal/add_lzero_'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/one/one_induction_' 'mat/unit_ind'
0. 'h4/thm/integer/INT_ADD_RID_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/integral/LT_0_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/transc/SIN_PI2_'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/complex/CONJ_MUL_'#@#variant 'mat/Qinv_Qtimes\''
0. 'h4/thm/rat/RAT_SGN_CALCULATE_' 'mat/numerator_nat_fact_to_fraction'
0. 'h4/thm/realax/REAL_LT_IADD_' 'mat/lt_plus_r'
0. 'h4/thm/transc/EXP_0_'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/toto/num2cpn_cpn2num_' 'mat/factorize_defactorize'
0. 'h4/thm/realax/REAL_ADD_LID_' 'mat/gcd_O_n'
0. 'h4/thm/quote/index_distinct_1' 'mat/not_eq_O_S'
0. 'h4/thm/frac/FRAC_MUL_RID_' 'mat/Zplus_z_OZ'
0. 'h4/thm/transc/EXP_0_'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/complex/COMPLEX_ADD_LDISTRIB_'#@#variant 'mat/distr_times_minus'
0. 'h4/thm/arithmetic/RIGHT_ADD_DISTRIB_' 'mat/times_minus_l'
0. 'h4/thm/frac/FRAC_AINV_AINV_' 'mat/finv_finv'
0. 'h4/thm/extreal/div_one_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/pred_set/pair_to_num_inv_0'#@#variant 'mat/factorize_defactorize'
0. 'h4/thm/arithmetic/MAX_COMM_' 'mat/sym_times'
0. 'h4/thm/realax/TREAL_MUL_SYM_'#@#variant 'mat/orb_sym'
0. 'h4/thm/arithmetic/ADD_COMM_' 'mat/orbC'
0. 'h4/thm/gcd/GCD_0R_' 'mat/times_n_SO'#@#variant
0. 'h4/thm/numeral/numeral_mult_0' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/integer/INT_ADD_CALCULATE_1'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/real/REAL_LTE_ANTSYM_' 'mat/lt_to_not_le'
0. 'h4/thm/arithmetic/EXP_EXP_MULT_' 'mat/eq_minus_minus_minus_plus'
0. 'h4/thm/integer_word/ONE_LE_TWOEXP_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/real/REAL_POS_MONO_' 'mat/le_S_S'
0. 'h4/thm/integer/INT_MIN_NUM_' 'mat/eq_plus_Zplus'
0. 'h4/thm/integer/INT_MUL_SYM_' 'mat/sym_gcd'
0. 'h4/thm/extreal/add_rzero_'#@#variant 'mat/plus_n_O'
0. 'h4/thm/numpair/invtri_le_' 'mat/le_sqrt_n_n'
0. 'h4/thm/HolSmt/r215_' 'mat/orbC'
0. 'h4/thm/arithmetic/NORM_0_' 'mat/B_SSSO'#@#variant
0. 'h4/thm/HolSmt/r214_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/DeepSyntax/neginf_def_1' 'mat/Zopp_Zplus'
0. 'h4/thm/DeepSyntax/neginf_def_0' 'mat/Zopp_Zplus'
0. 'h4/thm/arithmetic/MIN_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/realax/TREAL_MUL_WELLDEF_'#@#variant 'mat/le_times'
0. 'h4/thm/arithmetic/MIN_0_e1' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/rat/RAT_ADD_RID_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/transc/EXP_0_'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/real/REAL_MUL_LID_'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/integer/INT_ADD_' 'mat/eq_times_times_fa'
0. 'h4/thm/extreal/extreal_mul_def_e8' 'mat/eq_times_fa_times'
0. 'h4/thm/hreal/HRAT_INV_MUL_' 'mat/Qinv_Qtimes\''
0. 'h4/thm/real/REAL_MUL_RID_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/extreal/min_comm_' 'mat/andbC'
0. 'h4/thm/arithmetic/MIN_COMM_' 'mat/sym_gcd'
0. 'h4/thm/string/string_lt_trans_'#@#variant 'mat/trans_lt'
0. 'h4/thm/divides/LT_PRIMES_' 'mat/ltS'
0. 'h4/thm/integer/INT_MIN_NUM_' 'mat/rtimes_Zplus'
0. 'h4/thm/integer/INT_QUOT_CALCULATE_e4' 'mat/opposite_direction_idempotent'
0. 'h4/thm/extreal/extreal_sub_def_0' 'mat/bool_to_nat_andb'
0. 'h4/thm/numeral/numeral_evenodd_3' 'mat/not_prime_SO'#@#variant
0. 'h4/thm/bit/LOG2_TWOEXP_'#@#variant 'mat/pred_Sn'
0. 'h4/thm/toto/all_cpn_distinct_tLRL' 'mat/not_eq_true_false'
0. 'h4/thm/arithmetic/MULT_0_' 'mat/Ztimes_z_OZ'
0. 'h4/thm/arithmetic/ABS_DIFF_SYM_' 'mat/sym_Ztimes'
0. 'h4/thm/complex/COMPLEX_OF_REAL_DIV_'#@#variant 'mat/rtimes_Zplus'
0. 'h4/thm/extreal/mul_assoc_' 'mat/assoc_plus'
0. 'h4/thm/complex/COMPLEX_DIV_ADD_'#@#variant 'mat/times_plus_l'
0. 'h4/thm/arithmetic/ADD_COMM_' 'mat/sym_Ztimes'
0. 'h4/thm/extreal/add_lzero_'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/frac/FRAC_ADD_COMM_' 'mat/andbC'
0. 'h4/thm/frac/FRAC_AINV_AINV_' 'mat/rinv_rinv'
0. 'h4/thm/numeral/numeral_distrib_7' 'mat/plus_n_O'
0. 'h4/thm/extreal/extreal_add_def_1' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/integer/INT_LE_ADD2_' 'mat/le_plus'
0. 'h4/thm/binary_ieee/zero_le_twopow_'#@#variant 'mat/sieve_sorted'#@#variant
0. 'h4/thm/real/REAL_LT_ADD2_' 'mat/lt_times'
0. 'h4/thm/transc/EXP_POS_LE_'#@#variant 'mat/lt_O_nth_prime_n'#@#variant
0. 'h4/thm/transc/TAN_PI_'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/divides/PRIMES_def_0'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/hrat/HRAT_MUL_LINV_' 'mat/orb_not_b_b'
0. 'h4/thm/extreal/sqrt_pos_le_'#@#variant 'mat/lt_SO_smallest_factor'#@#variant
0. 'h4/thm/frac/FRAC_MUL_COMM_' 'mat/sym_gcd'
0. 'h4/thm/ASCIInumbers/toNum_toString_'#@#variant 'mat/defactorize_factorize'
0. 'h4/thm/hreal/HRAT_LT_MUL2_' 'mat/le_plus'
0. 'h4/thm/real/REAL_ADD_RID_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/integer/TINT_MUL_WELLDEF_'#@#variant 'mat/lt_times'
0. 'h4/thm/extreal/real_normal_' 'mat/defactorize_factorize'
0. 'h4/thm/frac/FRAC_ADD_RID_' 'mat/Ztimes_Zone_r'
0. 'h4/thm/integer/INT_MOD_1_'#@#variant 'mat/exp_n_O0'#@#variant
0. 'h4/thm/prim_rec/LESS_MONO_' 'mat/le_S_S'
0. 'h4/thm/hreal/HRAT_LT_ADDL_' 'mat/le_plus_n_r'
0. 'h4/thm/hrat/TRAT_MUL_WELLDEFINED2_'#@#variant 'mat/divides_times'
0. 'h4/thm/real/REAL_MIN_LE2_' 'mat/divides_gcd_m'
0. 'h4/thm/numRing/num_rewrites_tLRRRRL' 'mat/Qtimes_q_OQ'
0. 'h4/thm/real/add_ints_0' 'mat/eq_times_fa_times'
0. 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL' 'mat/opposite_direction_idempotent'
0. 'h4/thm/numpair/nfst_le_' 'mat/le_prim_n'
0. 'h4/thm/frac/FRAC_ADD_COMM_' 'mat/orb_sym'
0. 'h4/thm/realax/REAL_LT_TRANS_' 'mat/trans_lt'
0. 'h4/thm/numeral/onecount_def_0' 'mat/gcd_O_n'
0. 'h4/thm/extreal/add_assoc_' 'mat/andb_assoc'
0. 'h4/thm/hrat/TRAT_EQ_TRANS_'#@#variant 'mat/trans_lt'
0. 'h4/thm/realax/TREAL_MUL_SYM_'#@#variant 'mat/orbC'
0. 'h4/thm/integer/INT_ADD_' 'mat/rtimes_Zplus'
0. 'h4/thm/arithmetic/SUB_0' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/extreal/abs_pos_'#@#variant 'mat/not_nf_elim_not/1'
0. 'h4/thm/gcd/gcd_def_0' 'mat/rtimes_one_r'
0. 'h4/thm/arithmetic/EXP_0'#@#variant 'mat/mod_SO'#@#variant
0. 'h4/thm/real/REAL_MUL_LID_'#@#variant 'mat/rtimes_one_r'
0. 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant 'mat/rinv_rinv'
0. 'h4/thm/integer/INT_MOD_CALCULATE_2' 'mat/eq_notb_notb_b_b'
0. 'h4/thm/integer/INT_DIV_CALCULATE_e4' 'mat/Qinv_Qinv'
0. 'h4/thm/integer/NUM_OF_INT_' 'mat/factorize_defactorize'
0. 'h4/thm/arithmetic/ADD_SYM_' 'mat/andbC'
0. 'h4/thm/hrat/HRAT_ADD_ASSOC_' 'mat/assoc_times'
0. 'h4/thm/extreal/div_one_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/real/REAL_INV1_'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/float/REAL_LT_RCANCEL_IMP_'#@#variant 'mat/lt_exp_to_lt1'#@#variant
0. 'h4/thm/arithmetic/LESS_MONO_MULT_' 'mat/le_plus_l'
0. 'h4/thm/arithmetic/MAX_COMM_' 'mat/sym_Ztimes'
0. 'h4/thm/arithmetic/DIV_1_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/gcd/GCD_1_0'#@#variant 'mat/mod_O_n'
0. 'h4/thm/extreal/extreal_abs_def_e2' 'mat/A_SSO'#@#variant
0. 'h4/thm/complex/CONJ_ADD_'#@#variant 'mat/Qinv_Qtimes\''
0. 'h4/thm/integer/INT_SUB_REDUCE_0'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/real/REAL_ADD_LID_'#@#variant 'mat/Qtimes_Qone_q'
0. 'h4/thm/hreal/HREAL_ADD_SYM_' 'mat/sym_Zplus'
0. 'h4/thm/integer/INT_ADD_CALCULATE_1'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/arithmetic/MULT_SYM_' 'mat/orb_sym'
0. 'h4/thm/extreal/extreal_distinct_1' 'mat/not_eq_OZ_neg'
0. 'h4/thm/extreal/mul_lneg_' 'mat/Zplus_Zsucc'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRL' 'mat/mod_O_n'
0. 'h4/thm/extreal/mul_rone_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/rat/RAT_ADD_RID_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/arithmetic/MULT_COMM_' 'mat/orb_sym'
0. 'h4/thm/extreal/le_inv_'#@#variant 'mat/lt_SO_smallest_factor'#@#variant
0. 'h4/thm/real/REAL_DIV_ADD_' 'mat/times_minus_l'
0. 'h4/thm/extreal/inv_1over_'#@#variant 'mat/eq_A_A\''
0. 'h4/thm/extreal/max_infty_2' 'mat/rtimes_one_r'
0. 'h4/thm/bit/ZERO_LT_TWOEXP_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/gcd/LCM_0_e1' 'mat/Ztimes_z_OZ'
0. 'h4/thm/arithmetic/MIN_ASSOC_' 'mat/assoc_plus'
0. 'h4/thm/list/NOT_NIL_CONS_' 'mat/nil_cons'
0. 'h4/thm/arithmetic/ADD_CLAUSES_1' 'mat/times_n_SO'#@#variant
0. 'h4/thm/numeral/numeral_evenodd_1' 'mat/prime_nth_prime'
0. 'h4/thm/rat/RAT_MUL_NUM_CALCULATE_0' 'mat/eq_times_fa_times'
0. 'h4/thm/rat/RAT_MUL_LID_'#@#variant 'mat/Qtimes_Qone_q'
0. 'h4/thm/arithmetic/MULT_ASSOC_' 'mat/andbA'
0. 'h4/thm/extreal/min_le1_' 'mat/divides_gcd_n'
0. 'h4/thm/arithmetic/LESS_EQ_LESS_EQ_MONO_' 'mat/divides_times'
0. 'h4/thm/binary_ieee/float_value_distinct_1' 'mat/not_eq_numerator_nfa_zero'
0. 'h4/thm/binary_ieee/float_value_distinct_0' 'mat/not_eq_numerator_nfa_zero'
0. 'h4/thm/arithmetic/ADD_SYM_' 'mat/orb_sym'
0. 'h4/thm/integral/REAL_LE_RMUL1_'#@#variant 'mat/lt_times_l1'#@#variant
0. 'h4/thm/patricia/BRANCHING_BIT_SYM_' 'mat/sym_times'
0. 'h4/thm/real/REAL_INV_0_'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/transc/COS_BOUNDS_0'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/arithmetic/EXP_1_e1'#@#variant 'mat/minus_n_O'
0. 'h4/thm/real/REAL_INV_INV_' 'mat/finv_finv'
0. 'h4/thm/transc/EXP_LT_1_'#@#variant 'mat/prime_smallest_factor_n'#@#variant
0. 'h4/thm/integer/INT_ADD_CALCULATE_0'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/integer/INT_MUL_' 'mat/eq_plus_Zplus'
0. 'h4/thm/HolSmt/r080_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/extreal/mul_comm_' 'mat/sym_Ztimes'
0. 'h4/thm/extreal/le_ladd_imp_' 'mat/le_times_r'
0. 'h4/thm/frac/FRAC_SGN_MUL2_' 'mat/eq_times_times_fa'
0. 'h4/thm/realax/REAL_MUL_SYM_' 'mat/orb_sym'
0. 'h4/thm/transc/EXP_POS_LT_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/arithmetic/LESS_MONO_REV_' 'mat/le_S_S_to_le'
0. 'h4/thm/transc/COS_PI2_'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/numeral/numeral_evenodd_e5' 'mat/not_nf_elim_not/1'
0. 'h4/thm/complex/COMPLEX_INV_INV_'#@#variant 'mat/rinv_rinv'
0. 'h4/thm/extreal/max_infty_1' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/divides/PRIMES_def_0'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/rat/RAT_AINV_AINV_' 'mat/rinv_rinv'
0. 'h4/thm/pair/PAIR_' 'mat/eq_pair_fst_snd'
0. 'h4/thm/poly/POLY_MUL_'#@#variant 'mat/eq_times_f_times1'
0. 'h4/thm/real/REAL_IMP_MAX_LE2_' 'mat/lt_times'
0. 'h4/thm/frac/FRAC_AINV_ADD_' 'mat/Zopp_Zplus'
0. 'h4/thm/integer/INT_ADD_COMM_' 'mat/orbC'
0. 'h4/thm/rat/RAT_ADD_LID_'#@#variant 'mat/Ztimes_Zone_l'
0. 'h4/thm/real/REAL_MUL_ASSOC_' 'mat/andbA'
0. 'h4/thm/hreal/HRAT_LT_MUL2_' 'mat/divides_times'
0. 'h4/thm/real/REAL_SUB_RZERO_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/real/REAL_LET_TOTAL_' 'mat/not_le_to_lt'
0. 'h4/thm/extreal/max_le2_imp_' 'mat/lt_times'
0. 'h4/thm/arithmetic/MAX_COMM_' 'mat/sym_rtimes'
0. 'h4/thm/arithmetic/MAX_0_0' 'mat/div_SO'#@#variant
0. 'h4/thm/toto/num2cpn_cpn2num_' 'mat/defactorize_factorize'
0. 'h4/thm/arithmetic/ABS_DIFF_ZERO_0' 'mat/plus_n_O'
0. 'h4/thm/extreal/le_rmul_imp_'#@#variant 'mat/lt_times_l1'#@#variant
0. 'h4/thm/integer/NUM_OF_INT_' 'mat/defactorize_factorize'
0. 'h4/thm/numeral/numeral_MAX_1' 'mat/div_SO'#@#variant
0. 'h4/thm/complex/COMPLEX_ADD_COMM_'#@#variant 'mat/sym_plus'
0. 'h4/thm/real/REAL_LE_MAX2_' 'mat/le_plus_n'
0. 'h4/thm/extreal/max_le2_imp_' 'mat/le_plus'
0. 'h4/thm/arithmetic/ABS_DIFF_ZERO_e1' 'mat/Ztimes_Zone_l'
0. 'h4/thm/integer/INT_QUOT_1_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/integer/INT_MUL_CALCULATE_e3' 'mat/rinv_rinv'
0. 'h4/thm/integer/INT_LT_ADD2_' 'mat/divides_times'
0. 'h4/thm/int_bitwise/int_not_not_' 'mat/finv_finv'
0. 'h4/thm/extreal/min_infty_0' 'mat/div_SO'#@#variant
0. 'h4/thm/integral/LT_0_' 'mat/lt_O_teta'
0. 'h4/thm/rat/RAT_ADD_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/float/not2eqz_'#@#variant 'mat/not_eq_true_false'
0. 'h4/thm/frac/FRAC_AINV_AINV_' 'mat/eq_notb_notb_b_b'
0. 'h4/thm/extreal/extreal_mul_def_2'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/extreal/min_infty_0' 'mat/minus_n_O'
0. 'h4/thm/integerRing/int_rewrites_tLL' 'mat/eq_times_times_fa'
0. 'h4/thm/real/ABS_LE_' 'mat/lt_n_nth_prime_n'
0. 'h4/thm/integer/INT_MIN_NUM_' 'mat/times_fa_Qtimes'
0. 'h4/thm/extreal/le_add2_' 'mat/lt_times'
0. 'h4/thm/real/REAL_IMP_MIN_LE2_' 'mat/le_plus'
0. 'h4/thm/arithmetic/SUB_LESS_EQ_' 'mat/divides_gcd_nm/1'
0. 'h4/thm/real/REAL_ABS_0_'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/arithmetic/FACT_0'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/hreal/HREAL_SUB_ADD_' 'mat/divides_to_div'
0. 'h4/thm/integer/INT_ADD_RID_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/realax/REAL_POS_'#@#variant 'mat/sieve_sorted'#@#variant
0. 'h4/thm/extreal/abs_pos_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/real/REAL_ADD_' 'mat/times_fa_Qtimes'
0. 'h4/thm/toto/all_cpn_distinct_2' 'mat/not_eq_true_false'
0. 'h4/thm/toto/all_cpn_distinct_1' 'mat/not_eq_true_false'
0. 'h4/thm/bit/TWOEXP_MONO_'#@#variant 'mat/ltS'
0. 'h4/thm/integer/INT_MUL_LID_'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/integer/TINT_MUL_WELLDEFR_'#@#variant 'mat/lt_plus_l'
0. 'h4/thm/real/REAL_MAX_ADD_' 'mat/times_minus_l'
0. 'h4/thm/real/REAL_RDISTRIB_' 'mat/times_exp'
0. 'h4/thm/real/REAL_LET_ANTISYM_' 'mat/le_to_not_lt'
0. 'h4/thm/extreal/extreal_exp_def_1' 'mat/A_SSO'#@#variant
0. 'h4/thm/HolSmt/r215_' 'mat/sym_rtimes'
0. 'h4/thm/binary_ieee/zero_neq_twopow_'#@#variant 'mat/not_eq_OZ_pos'
0. 'h4/thm/arithmetic/MULT_LEFT_1_'#@#variant 'mat/Ztimes_Zone_l'
0. 'h4/thm/real/REAL_LET_ADD2_' 'mat/le_to_lt_to_plus_lt'
0. 'h4/thm/complex/CONJ_MUL_'#@#variant 'mat/Zopp_Zplus'
0. 'h4/thm/integer/INT_ADD_REDUCE_1'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/extreal/le_add2_' 'mat/le_times'
0. 'h4/thm/pair/pair_induction_' 'mat/Prod_ind'
0. 'h4/thm/rat/RAT_ADD_RID_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/real/ABS_1_'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/integer/INT_QUOT_1_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/numeral/numeral_distrib_34' 'mat/not_prime_SO'#@#variant
0. 'h4/thm/bit/ONE_LE_TWOEXP_'#@#variant 'mat/prime_nth_prime'
0. 'h4/thm/real/REAL_LE_TRANS_' 'mat/trans_lt'
0. 'h4/thm/extreal/lt_add2_' 'mat/divides_times'
0. 'h4/thm/HolSmt/r217_' 'mat/andb_assoc'
0. 'h4/thm/complex/COMPLEX_SUB_RDISTRIB_'#@#variant 'mat/times_plus_l'
0. 'h4/thm/complex/COMPLEX_ADD_COMM_'#@#variant 'mat/orb_sym'
0. 'h4/thm/numRing/num_rewrites_tLL' 'mat/gcd_O_n'
0. 'h4/thm/numeral/numeral_mult_0' 'mat/mod_O_n'
0. 'h4/thm/HolSmt/r127_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/hrat/HRAT_LDISTRIB_' 'mat/distr_times_minus'
0. 'h4/thm/realax/TREAL_MUL_SYM_'#@#variant 'mat/sym_Zplus'
0. 'h4/thm/extreal/lt_add2_' 'mat/le_plus'
0. 'h4/thm/integer/INT_MUL_REDUCE_0'#@#variant 'mat/times_n_O'
0. 'h4/thm/arithmetic/MULT_COMM_' 'mat/sym_Zplus'
0. 'h4/thm/string/char_BIJ_0' 'mat/factorize_defactorize'
0. 'h4/thm/real/REAL_ADD_COMM_' 'mat/sym_rtimes'
0. 'h4/thm/ieee/roundmode_distinct_4' 'mat/not_eq_true_false'
0. 'h4/thm/ieee/roundmode_distinct_3' 'mat/not_eq_true_false'
0. 'h4/thm/ieee/roundmode_distinct_2' 'mat/not_eq_true_false'
0. 'h4/thm/ieee/roundmode_distinct_1' 'mat/not_eq_true_false'
0. 'h4/thm/integer/INT_MUL_CALCULATE_e3' 'mat/notb_notb'
0. 'h4/thm/ieee/roundmode_distinct_0' 'mat/not_eq_true_false'
0. 'h4/thm/integer/INT_NEG_ADD_' 'mat/Zopp_Zplus'
0. 'h4/thm/numpair/nlen_thm_0' 'mat/A_SSO'#@#variant
0. 'h4/thm/numeral/numeral_distrib_7' 'mat/Zplus_z_OZ'
0. 'h4/thm/divides/ZERO_LT_PRIMES_' 'mat/le_SO_fact'#@#variant
0. 'h4/thm/real/REAL_LTE_TOTAL_' 'mat/not_lt_to_le'
0. 'h4/thm/real/REAL_NEG_NEG_' 'mat/finv_finv'
0. 'h4/thm/extreal/extreal_distinct_e2' 'mat/not_eq_OZ_neg'
0. 'h4/thm/real/REAL_MUL_LZERO_'#@#variant 'mat/mod_O_n'
0. 'h4/thm/arithmetic/SUB_0_e1' 'mat/div_SO'#@#variant
0. 'h4/thm/numeral/numeral_distrib_1' 'mat/Zplus_z_OZ'
0. 'h4/thm/numpair/napp_thm_0' 'mat/gcd_O_n'
0. 'h4/thm/rat/RAT_RDISTRIB_' 'mat/times_minus_l'
0. 'h4/thm/extreal/div_one_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/gcd/GCD_0R_' 'mat/Qtimes_q_Qone'
0. 'h4/thm/realax/TREAL_BIJ_0'#@#variant 'mat/defactorize_factorize'
0. 'h4/thm/arithmetic/SUB_RIGHT_SUB_' 'mat/exp_exp_times'
0. 'h4/thm/numeral/numeral_evenodd_e5' 'mat/not_nf_elim_not/0'
0. 'h4/thm/integer/TINT_LDISTRIB_'#@#variant 'mat/distr_times_minus'
0. 'h4/thm/hreal/HRAT_LT_ADD2_' 'mat/lt_plus'
0. 'h4/thm/prelim/ordering_BIJ_0' 'mat/factorize_defactorize'
0. 'h4/thm/real/REAL_SUB_RZERO_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/float/egtff_'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/rat/RAT_MUL_NUM_CALCULATE_0' 'mat/eq_times_times_fa'
0. 'h4/thm/bit/TWOEXP_MONO2_'#@#variant 'mat/ltS'
0. 'h4/thm/transc/TAN_PI_'#@#variant 'mat/B_SSSO'#@#variant
0. 'h4/thm/transc/ATN_BOUNDS_0'#@#variant 'mat/lt_O_teta'
0. 'h4/thm/real/add_ints_0' 'mat/times_Qtimes'
0. 'h4/thm/integer/INT_DIV_CALCULATE_e4' 'mat/eq_notb_notb_b_b'
0. 'h4/thm/realax/TREAL_ADD_WELLDEFR_'#@#variant 'mat/lt_plus_l'
0. 'h4/thm/rat/RAT_ADD_COMM_' 'mat/sym_gcd'
0. 'h4/thm/extreal/sub_lzero_' 'mat/Zsucc_Zplus_pos_O'
0. 'h4/thm/real/REAL_MUL_SYM_' 'mat/orbC'
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRL' 'mat/rtimes_r_one'
0. 'h4/thm/extreal/min_le2_imp_' 'mat/lt_plus'
0. 'h4/thm/integer/TINT_ADD_WELLDEF_'#@#variant 'mat/le_plus'
0. 'h4/thm/extreal/add_comm_' 'mat/andbC'
0. 'h4/thm/complex/COMPLEX_NEGNEG_'#@#variant 'mat/opposite_direction_idempotent'
0. 'h4/thm/rich_list/ASSOC_APPEND_' 'mat/associative_append'
0. 'h4/thm/transc/EXP_MONO_IMP_' 'mat/lt_to_lt_S_S'
0. 'h4/thm/numeral/enumeral_mult_0' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/float/REAL_LT_LCANCEL_IMP_'#@#variant 'mat/lt_exp_to_lt'#@#variant
0. 'h4/thm/rat/RAT_AINV_LMUL_' 'mat/Zplus_Zsucc'
0. 'h4/thm/arithmetic/FACT_0'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/numeral/numeral_exp_0' 'mat/bc_n_O'
0. 'h4/thm/rat/RAT_1_NOT_0_'#@#variant 'mat/not_eq_true_false'
0. 'h4/thm/arithmetic/EVEN_DOUBLE_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/real/REAL_LTE_ANTSYM_' 'mat/le_to_not_lt'
0. 'h4/thm/hrat/TRAT_ADD_SYM_EQ_'#@#variant 'mat/sym_times'
0. 'h4/thm/arithmetic/PRE_SUB1_'#@#variant 'mat/plus_n_SO'#@#variant
0. 'h4/thm/integer/INT_ADD_CALCULATE_2' 'mat/bool_to_nat_andb'
0. 'h4/thm/real/REAL_OF_NUM_ADD_' 'mat/eq_times_times_fa'
0. 'h4/thm/real/REAL_ABS_POS_'#@#variant 'mat/not_nf_elim_not/0'
0. 'h4/thm/extreal/mul_comm_' 'mat/sym_times'
0. 'h4/thm/hreal/HREAL_ADD_SYM_' 'mat/orb_sym'
0. 'h4/thm/extreal/add_comm_' 'mat/sym_times'
0. 'h4/thm/float/ftt_'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/HolSmt/r214_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/arithmetic/MULT_CLAUSES_0' 'mat/gcd_SO_n'#@#variant
0. 'h4/thm/transc/SQRT_0_'#@#variant 'mat/A_SO'#@#variant
0. 'h4/thm/rat/RAT_LES_IMP_LEQ_' 'mat/lt_to_le'
0. 'h4/thm/realax/TREAL_MUL_WELLDEF_'#@#variant 'mat/lt_times'
0. 'h4/thm/integer/INT_DIV_1_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/extreal/max_infty_e3' 'mat/times_n_SO'#@#variant
0. 'h4/thm/realax/REAL_ADD_SYM_' 'mat/sym_Zplus'
0. 'h4/thm/realax/REAL_LT_IADD_' 'mat/le_plus_r'
0. 'h4/thm/bit/ZERO_LT_TWOEXP_'#@#variant 'mat/lt_O_S'#@#variant
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRRL' 'mat/Zopp_Zplus'
0. 'h4/thm/extreal/min_infty_1' 'mat/gcd_O_n'
0. 'h4/thm/extreal/abs_pos_'#@#variant 'mat/lt_O_fact'#@#variant
0. 'h4/thm/rat/RAT_AINV_0_'#@#variant 'mat/A_SSO'#@#variant
0. 'h4/thm/rat/RAT_LDISTRIB_' 'mat/distr_times_plus'
0. 'h4/thm/integer/INT_ADD_REDUCE_0'#@#variant 'mat/gcd_O_n'
0. 'h4/thm/integer/INT_MUL_CALCULATE_1' 'mat/Zplus_Zpred'
0. 'h4/thm/arithmetic/SUB_0_0' 'mat/mod_O_n'
0. 'h4/thm/integral/REAL_LE_LMUL1_'#@#variant 'mat/lt_times_r1'#@#variant
0. 'h4/thm/integral/LE_0_' 'mat/divides_SO_n'#@#variant
0. 'h4/thm/rat/RAT_MUL_CALCULATE_' 'mat/rtimes_Zplus'
0. 'h4/thm/divides/LT_PRIMES_' 'mat/lt_to_lt_S_S'
0. 'h4/thm/realax/TREAL_MUL_SYM_'#@#variant 'mat/sym_rtimes'
0. 'h4/thm/numeral/TWO_EXP_THM_0'#@#variant 'mat/A_SSSO'#@#variant
0. 'h4/thm/realax/TREAL_INV_WELLDEF_'#@#variant 'mat/le_to_le_pred'
0. 'h4/thm/numeral/TWO_EXP_THM_0'#@#variant 'mat/B_SSSSO'#@#variant
0. 'h4/thm/arithmetic/EVEN_DOUBLE_'#@#variant 'mat/lt_O_teta'#@#variant
0. 'h4/thm/ASCIInumbers/toString_toNum_cancel_'#@#variant 'mat/numeratorQ_nat_fact_all_to_Q'
0. 'h4/thm/arithmetic/DIV_ONE_'#@#variant 'mat/exp_n_SO'#@#variant
0. 'h4/thm/rat/RAT_LES_LEQ_TRANS_' 'mat/lt_to_le_to_lt'
0. 'h4/thm/frac/FRAC_ADD_RID_' 'mat/Zplus_z_OZ'
0. 'h4/thm/rat/RAT_MUL_NUM_CALCULATE_0' 'mat/rtimes_Zplus'
0. 'h4/thm/extreal/max_comm_' 'mat/andbC'
0. 'h4/thm/rat/RAT_SGN_MUL_' 'mat/eq_times_times_fa'
0. 'h4/thm/transc/SQRT_POS_LT_'#@#variant 'mat/lt_O_smallest_factor'#@#variant
0. 'h4/thm/integerRing/int_rewrites_tLRRRRRRRRRRRRL' 'mat/Qinv_Qinv'
0. 'h4/thm/hrat/TRAT_ADD_WELLDEFINED_'#@#variant 'mat/le_plus_l'
0. 'h4/thm/hreal/HREAL_ADD_ASSOC_' 'mat/assoc_Zplus'
0. 'h4/thm/rat/RAT_' 'mat/factorize_defactorize'
0. 'h4/thm/toto/qk_numeralOrd_6' 'mat/nat_compare_S_S'
0. 'h4/thm/toto/qk_numeralOrd_5' 'mat/nat_compare_S_S'
0. 'h4/thm/bit/BIT_REVERSE_def_0' 'mat/exp_SO_n'#@#variant
0. 'h4/thm/real/REAL_MUL_RID_'#@#variant 'mat/times_n_SO'#@#variant
0. 'h4/thm/realax/TREAL_LT_TRANS_'#@#variant 'mat/trans_lt'
0. 'h4/thm/integer/INT_NEG_MUL2_' 'mat/minus_S_S'
0. 'h4/thm/real/REAL_MUL_COMM_' 'mat/andbC'
0. 'h4/thm/arithmetic/MULT_CLAUSES_3'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/gcd/GCD_SYM_' 'mat/sym_plus'
0. 'h4/thm/rich_list/IS_PREFIX_REFL_' 'mat/incl_A_A'
0. 'h4/thm/complex/CONJ_ADD_'#@#variant 'mat/Zopp_Zplus'
0. 'h4/thm/HolSmt/r080_'#@#variant 'mat/div_SO'#@#variant
0. 'h4/thm/gcd/GCD_0R_' 'mat/minus_n_O'
0. 'h4/thm/integer/INT_MUL_SYM_' 'mat/sym_rtimes'
0. 'h4/thm/arithmetic/RIGHT_SUB_DISTRIB_' 'mat/times_exp'
0. 'h4/thm/numeral/enumeral_mult_1' 'mat/Ztimes_z_OZ'
0. 'h4/thm/rat/RAT_AINV_RMUL_' 'mat/plus_n_Sm'
0. 'h4/thm/extreal/max_comm_' 'mat/sym_times'
0. 'h4/thm/integerRing/int_rewrites_tLRRRRL' 'mat/bool_to_nat_andb'
0. 'h4/thm/frac/FRAC_AINV_0_' 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/intExtension/INT_ABS_CALCULATE_0_'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/gcd/LCM_1_e1'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/extreal/extreal_mul_def_2'#@#variant 'mat/eq_OZ_Zopp_OZ'
0. 'h4/thm/frac/FRAC_SGN_MUL_' 'mat/times_Qtimes'
0. 'h4/thm/integer/TINT_ADD_SYM_'#@#variant 'mat/sym_gcd'
0. 'h4/thm/arithmetic/SUB_LESS_EQ_' 'mat/divides_gcd_n'
0. 'h4/thm/prim_rec/PRE_0' 'mat/A_SSO'#@#variant
0. 'h4/thm/numRing/num_rewrites_tLRRRRRRRRRRRL'#@#variant 'mat/bc_n_O'#@#variant
0. 'h4/thm/numeral/numeral_evenodd_e5' 'mat/lt_O_fact'#@#variant
0. 'h4/thm/hreal/HRAT_MUL_RID_' 'mat/exp_n_SO'#@#variant
0. 'h4/thm/integer/INT_QUOT_1_'#@#variant 'mat/rtimes_r_one'
0. 'h4/thm/toto/TO_charOrd_' 'mat/symmetricb_eqb'
0. 'h4/thm/integerRing/int_rewrites_tLL' 'mat/eq_times_fa_times'
0. 'h4/thm/integer/INT_MUL_RID_'#@#variant 'mat/Qtimes_q_Qone'
0. 'h4/thm/real/REAL_ADD_' 'mat/eq_times_fa_times'
0. 'h4/thm/complex/COMPLEX_MUL_COMM_'#@#variant 'mat/sym_Ztimes'
0. 'h4/thm/extreal/sub_rzero_'#@#variant 'mat/Ztimes_Zone_r'
0. 'h4/thm/real/REAL_MUL_RID_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/real/REAL_MIN_SUB_' 'mat/times_plus_l'
0. 'h4/thm/extreal/sub_rzero_'#@#variant 'mat/Zplus_z_OZ'
0. 'h4/thm/arithmetic/MULT_SYM_' 'mat/orbC'
0. 'h4/thm/extreal/max_infty_0' 'mat/times_n_O'
0. 'h4/thm/rat/RAT_SUB_RID_'#@#variant 'mat/minus_n_O'
0. 'h4/thm/arithmetic/MULT_0_' 'mat/Qtimes_q_OQ'
0. 'h4/thm/real/REAL_OF_NUM_MUL_' 'mat/times_fa_Qtimes'
