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1 -- Changes from Isabelle 2004 version of HOL-Complex |
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2 |
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3 * There is a new type constructor "star" for making nonstandard types. |
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4 The old type names are now type synonyms: |
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5 - hypreal = real star |
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6 - hypnat = nat star |
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7 - hcomplex = complex star |
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8 |
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9 * Many groups of similarly-defined constants have been replaced by polymorphic |
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10 versions: |
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11 |
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12 star_of <-- hypreal_of_real, hypnat_of_nat, hcomplex_of_complex |
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13 |
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14 starset <-- starsetNat, starsetC |
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15 *s* <-- *sNat*, *sc* |
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16 starset_n <-- starsetNat_n, starsetC_n |
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17 *sn* <-- *sNatn*, *scn* |
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18 InternalSets <-- InternalNatSets, InternalCSets |
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19 |
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20 starfun <-- starfunNat, starfunNat2, starfunC, starfunRC, starfunCR |
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21 *f* <-- *fNat*, *fNat2*, *fc*, *fRc*, *fcR* |
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22 starfun_n <-- starfunNat_n, starfunNat2_n, starfunC_n, starfunRC_n, starfunCR_n |
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23 *fn* <-- *fNatn*, *fNat2n*, *fcn*, *fRcn*, *fcRn* |
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24 InternalFuns <-- InternalNatFuns, InternalNatFuns2, InternalCFuns, InternalRCFuns, InternalCRFuns |
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25 |
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26 * Many type-specific theorems have been removed in favor of theorems specific |
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27 to various axiomatic type classes: |
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28 |
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29 add_commute <-- hypreal_add_commute, hypnat_add_commute, hcomplex_add_commute |
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30 add_assoc <-- hypreal_add_assoc, hypnat_add_assoc, hcomplex_add_assoc |
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31 OrderedGroup.add_0 <-- hypreal_add_zero_left, hypnat_add_zero_left, hcomplex_add_zero_left |
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32 OrderedGroup.add_0_right <-- hypreal_add_zero_right, hcomplex_add_zero_right |
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33 right_minus <-- hypreal_add_minus |
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34 left_minus <-- hypreal_add_minus_left, hcomplex_add_minus_left |
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35 mult_commute <-- hypreal_mult_commute, hypnat_mult_commute, hcomplex_mult_commute |
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36 mult_assoc <-- hypreal_mult_assoc, hypnat_mult_assoc, hcomplex_mult_assoc |
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37 mult_1_left <-- hypreal_mult_1, hypnat_mult_1, hcomplex_mult_one_left |
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38 mult_1_right <-- hcomplex_mult_one_right |
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39 mult_zero_left <-- hcomplex_mult_zero_left |
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40 left_distrib <-- hypreal_add_mult_distrib, hypnat_add_mult_distrib, hcomplex_add_mult_distrib |
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41 right_distrib <-- hypnat_add_mult_distrib2 |
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42 zero_neq_one <-- hypreal_zero_not_eq_one, hypnat_zero_not_eq_one, hcomplex_zero_not_eq_one |
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43 right_inverse <-- hypreal_mult_inverse |
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44 left_inverse <-- hypreal_mult_inverse_left, hcomplex_mult_inv_left |
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45 order_refl <-- hypreal_le_refl, hypnat_le_refl |
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46 order_trans <-- hypreal_le_trans, hypnat_le_trans |
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47 order_antisym <-- hypreal_le_anti_sym, hypnat_le_anti_sym |
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48 order_less_le <-- hypreal_less_le, hypnat_less_le |
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49 linorder_linear <-- hypreal_le_linear, hypnat_le_linear |
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50 add_left_mono <-- hypreal_add_left_mono, hypnat_add_left_mono |
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51 mult_strict_left_mono <-- hypreal_mult_less_mono2, hypnat_mult_less_mono2 |
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52 add_nonneg_nonneg <-- hypreal_le_add_order |
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53 |
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54 * Separate theorems having to do with type-specific versions of constants have |
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55 been merged into theorems that apply to the new polymorphic constants: |
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56 |
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57 STAR_UNIV_set <-- STAR_real_set, NatStar_real_set, STARC_complex_set |
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58 STAR_empty_set <-- NatStar_empty_set, STARC_empty_set |
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59 STAR_Un <-- NatStar_Un, STARC_Un |
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60 STAR_Int <-- NatStar_Int, STARC_Int |
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61 STAR_Compl <-- NatStar_Compl, STARC_Compl |
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62 STAR_subset <-- NatStar_subset, STARC_subset |
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63 STAR_mem <-- NatStar_mem, STARC_mem |
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64 STAR_mem_Compl <-- STARC_mem_Compl |
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65 STAR_diff <-- STARC_diff |
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66 STAR_star_of_image_subset <-- STAR_hypreal_of_real_image_subset, NatStar_hypreal_of_real_image_subset, STARC_hcomplex_of_complex_image_subset |
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67 starset_n_Un <-- starsetNat_n_Un, starsetC_n_Un |
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68 starset_n_Int <-- starsetNat_n_Int, starsetC_n_Int |
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69 starset_n_Compl <-- starsetNat_n_Compl, starsetC_n_Compl |
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70 starset_n_diff <-- starsetNat_n_diff, starsetC_n_diff |
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71 InternalSets_Un <-- InternalNatSets_Un, InternalCSets_Un |
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72 InternalSets_Int <-- InternalNatSets_Int, InternalCSets_Int |
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73 InternalSets_Compl <-- InternalNatSets_Compl, InternalCSets_Compl |
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74 InternalSets_diff <-- InternalNatSets_diff, InternalCSets_diff |
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75 InternalSets_UNIV_diff <-- InternalNatSets_UNIV_diff, InternalCSets_UNIV_diff |
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76 InternalSets_starset_n <-- InternalNatSets_starsetNat_n, InternalCSets_starsetC_n |
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77 starset_starset_n_eq <-- starsetNat_starsetNat_n_eq, starsetC_starsetC_n_eq |
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78 starset_n_starset <-- starsetNat_n_starsetNat, starsetC_n_starsetC |
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79 starfun_n_starfun <-- starfunNat_n_starfunNat, starfunNat2_n_starfunNat2, starfunC_n_starfunC, starfunRC_n_starfunRC, starfunCR_n_starfunCR |
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80 starfun <-- starfunNat, starfunNat2, starfunC, starfunRC, starfunCR |
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81 starfun_mult <-- starfunNat_mult, starfunNat2_mult, starfunC_mult, starfunRC_mult, starfunCR_mult |
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82 starfun_add <-- starfunNat_add, starfunNat2_add, starfunC_add, starfunRC_add, starfunCR_add |
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83 starfun_minus <-- starfunNat_minus, starfunNat2_minus, starfunC_minus, starfunRC_minus, starfunCR_minus |
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84 starfun_diff <-- starfunC_diff, starfunRC_diff, starfunCR_diff |
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85 starfun_o <-- starfunNatNat2_o, starfunNat2_o, starfun_stafunNat_o, starfunC_o, starfunC_starfunRC_o, starfun_starfunCR_o |
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86 starfun_o2 <-- starfunNatNat2_o2, starfun_stafunNat_o2, starfunC_o2, starfunC_starfunRC_o2, starfun_starfunCR_o2 |
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87 starfun_const_fun <-- starfunNat_const_fun, starfunNat2_const_fun, starfunC_const_fun, starfunRC_const_fun, starfunCR_const_fun |
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88 starfun_inverse <-- starfunNat_inverse, starfunC_inverse, starfunRC_inverse, starfunCR_inverse |
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89 starfun_eq <-- starfunNat_eq, starfunNat2_eq, starfunC_eq, starfunRC_eq, starfunCR_eq |
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90 starfun_eq_iff <-- starfunC_eq_iff, starfunRC_eq_iff, starfunCR_eq_iff |
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91 starfun_Id <-- starfunC_Id |
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92 starfun_approx <-- starfunNat_approx, starfunCR_approx |
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93 starfun_capprox <-- starfunC_capprox, starfunRC_capprox |
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94 starfun_abs <-- starfunNat_rabs |
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95 starfun_lambda_cancel <-- starfunC_lambda_cancel, starfunCR_lambda_cancel, starfunRC_lambda_cancel |
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96 starfun_lambda_cancel2 <-- starfunC_lambda_cancel2, starfunCR_lambda_cancel2, starfunRC_lambda_cancel2 |
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97 starfun_mult_HFinite_approx <-- starfunCR_mult_HFinite_capprox |
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98 starfun_mult_CFinite_capprox <-- starfunC_mult_CFinite_capprox, starfunRC_mult_CFinite_capprox |
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99 starfun_add_capprox <-- starfunC_add_capprox, starfunRC_add_capprox |
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100 starfun_add_approx <-- starfunCR_add_approx |
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101 starfun_inverse_inverse <-- starfunC_inverse_inverse |
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102 starfun_divide <-- starfunC_divide, starfunCR_divide, starfunRC_divide |
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103 starfun_n_congruent <-- starfunNat_n_congruent, starfunC_n_congruent |
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104 starfun_n <-- starfunNat_n, starfunC_n |
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105 starfun_n_mult <-- starfunNat_n_mult, starfunC_n_mult |
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106 starfun_n_add <-- starfunNat_n_add, starfunC_n_add |
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107 starfun_n_add_minus <-- starfunNat_n_add_minus |
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108 starfun_n_const_fun <-- starfunNat_n_const_fun, starfunC_n_const_fun |
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109 starfun_n_minus <-- starfunNat_n_minus, starfunC_n_minus |
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110 starfun_n_eq <-- starfunNat_n_eq, starfunC_n_eq |
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111 |
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112 star_n_add <-- hypreal_add, hypnat_add, hcomplex_add |
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113 star_n_minus <-- hypreal_minus, hcomplex_minus |
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114 star_n_diff <-- hypreal_diff, hcomplex_diff |
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115 star_n_mult <-- hypreal_mult, hcomplex_mult |
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116 star_n_inverse <-- hypreal_inverse, hcomplex_inverse |
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117 star_n_le <-- hypreal_le, hypnat_le |
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118 star_n_less <-- hypreal_less, hypnat_less |
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119 star_n_zero_num <-- hypreal_zero_num, hypnat_zero_num, hcomplex_zero_num |
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120 star_n_one_num <-- hypreal_one_num, hypnat_one_num, hcomplex_one_num |
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121 star_n_abs <-- hypreal_hrabs |
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122 star_n_divide <-- hcomplex_divide |
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123 |
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124 star_of_add <-- hypreal_of_real_add |
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125 star_of_minus <-- hypreal_of_real_minus |
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126 star_of_diff <-- hypreal_of_real_diff |
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127 star_of_mult <-- hypreal_of_real_mult |
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128 star_of_one <-- hypreal_of_real_one |
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129 star_of_zero <-- hypreal_of_real_zero |
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130 star_of_le <-- hypreal_of_real_le_iff |
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131 star_of_less <-- hypreal_of_real_less_iff |
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132 star_of_eq <-- hypreal_of_real_eq_iff |
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133 star_of_inverse <-- hypreal_of_real_inverse |
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134 star_of_divide <-- hypreal_of_real_divide |
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135 star_of_of_nat <-- hypreal_of_real_of_nat |
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136 star_of_of_int <-- hypreal_of_real_of_int |
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137 star_of_number_of <-- hypreal_number_of |
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138 star_of_number_less <-- number_of_less_hypreal_of_real_iff |
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139 star_of_number_le <-- number_of_le_hypreal_of_real_iff |
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140 star_of_eq_number <-- hypreal_of_real_eq_number_of_iff |
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141 star_of_less_number <-- hypreal_of_real_less_number_of_iff |
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142 star_of_le_number <-- hypreal_of_real_le_number_of_iff |
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143 star_of_power <-- hypreal_of_real_power |