src/HOL/Import/HOL/real.imp
changeset 17644 bd59bfd4bf37
parent 17188 a26a4fc323ed
child 19233 77ca20b0ed77
equal deleted inserted replaced
17643:7e417a7cbf9f 17644:bd59bfd4bf37
    29   "real_of_num" > "HOL4Compat.real_of_num"
    29   "real_of_num" > "HOL4Compat.real_of_num"
    30   "real_lte" > "HOL4Compat.real_lte"
    30   "real_lte" > "HOL4Compat.real_lte"
    31   "real_lt" > "Orderings.linorder_not_le"
    31   "real_lt" > "Orderings.linorder_not_le"
    32   "real_gt" > "HOL4Compat.real_gt"
    32   "real_gt" > "HOL4Compat.real_gt"
    33   "real_ge" > "HOL4Compat.real_ge"
    33   "real_ge" > "HOL4Compat.real_ge"
    34   "real_div" > "Ring_and_Field.field.divide_inverse"
    34   "real_div" > "Ring_and_Field.field_class.divide_inverse"
    35   "pow" > "HOL4Compat.pow"
    35   "pow" > "HOL4Compat.pow"
    36   "abs" > "HOL4Compat.abs"
    36   "abs" > "HOL4Compat.abs"
    37   "SUP_LEMMA3" > "HOL4Real.real.SUP_LEMMA3"
    37   "SUP_LEMMA3" > "HOL4Real.real.SUP_LEMMA3"
    38   "SUP_LEMMA2" > "HOL4Real.real.SUP_LEMMA2"
    38   "SUP_LEMMA2" > "HOL4Real.real.SUP_LEMMA2"
    39   "SUP_LEMMA1" > "HOL4Real.real.SUP_LEMMA1"
    39   "SUP_LEMMA1" > "HOL4Real.real.SUP_LEMMA1"
   145   "REAL_MEAN" > "Ring_and_Field.dense"
   145   "REAL_MEAN" > "Ring_and_Field.dense"
   146   "REAL_LT_TRANS" > "Set.basic_trans_rules_21"
   146   "REAL_LT_TRANS" > "Set.basic_trans_rules_21"
   147   "REAL_LT_TOTAL" > "HOL4Compat.REAL_LT_TOTAL"
   147   "REAL_LT_TOTAL" > "HOL4Compat.REAL_LT_TOTAL"
   148   "REAL_LT_SUB_RADD" > "OrderedGroup.compare_rls_6"
   148   "REAL_LT_SUB_RADD" > "OrderedGroup.compare_rls_6"
   149   "REAL_LT_SUB_LADD" > "OrderedGroup.compare_rls_7"
   149   "REAL_LT_SUB_LADD" > "OrderedGroup.compare_rls_7"
   150   "REAL_LT_RMUL_IMP" > "Ring_and_Field.ordered_semiring_strict.mult_strict_right_mono"
   150   "REAL_LT_RMUL_IMP" > "Ring_and_Field.ordered_semiring_strict_class.mult_strict_right_mono"
   151   "REAL_LT_RMUL_0" > "HOL4Real.real.REAL_LT_RMUL_0"
   151   "REAL_LT_RMUL_0" > "HOL4Real.real.REAL_LT_RMUL_0"
   152   "REAL_LT_RMUL" > "RealDef.real_mult_less_iff1"
   152   "REAL_LT_RMUL" > "RealDef.real_mult_less_iff1"
   153   "REAL_LT_REFL" > "Orderings.order_less_irrefl"
   153   "REAL_LT_REFL" > "Orderings.order_less_irrefl"
   154   "REAL_LT_RDIV_EQ" > "Ring_and_Field.pos_less_divide_eq"
   154   "REAL_LT_RDIV_EQ" > "Ring_and_Field.pos_less_divide_eq"
   155   "REAL_LT_RDIV_0" > "HOL4Real.real.REAL_LT_RDIV_0"
   155   "REAL_LT_RDIV_0" > "HOL4Real.real.REAL_LT_RDIV_0"
   159   "REAL_LT_NEGTOTAL" > "HOL4Real.real.REAL_LT_NEGTOTAL"
   159   "REAL_LT_NEGTOTAL" > "HOL4Real.real.REAL_LT_NEGTOTAL"
   160   "REAL_LT_NEG" > "OrderedGroup.neg_less_iff_less"
   160   "REAL_LT_NEG" > "OrderedGroup.neg_less_iff_less"
   161   "REAL_LT_MULTIPLE" > "HOL4Real.real.REAL_LT_MULTIPLE"
   161   "REAL_LT_MULTIPLE" > "HOL4Real.real.REAL_LT_MULTIPLE"
   162   "REAL_LT_MUL2" > "Ring_and_Field.mult_strict_mono'"
   162   "REAL_LT_MUL2" > "Ring_and_Field.mult_strict_mono'"
   163   "REAL_LT_MUL" > "Ring_and_Field.mult_pos_pos"
   163   "REAL_LT_MUL" > "Ring_and_Field.mult_pos_pos"
   164   "REAL_LT_LMUL_IMP" > "Ring_and_Field.ordered_comm_semiring_strict.mult_strict_mono"
   164   "REAL_LT_LMUL_IMP" > "Ring_and_Field.ordered_comm_semiring_strict_class.mult_strict_mono"
   165   "REAL_LT_LMUL_0" > "HOL4Real.real.REAL_LT_LMUL_0"
   165   "REAL_LT_LMUL_0" > "HOL4Real.real.REAL_LT_LMUL_0"
   166   "REAL_LT_LMUL" > "HOL4Real.real.REAL_LT_LMUL"
   166   "REAL_LT_LMUL" > "HOL4Real.real.REAL_LT_LMUL"
   167   "REAL_LT_LE" > "Orderings.order.order_less_le"
   167   "REAL_LT_LE" > "Orderings.order_class.order_less_le"
   168   "REAL_LT_LDIV_EQ" > "Ring_and_Field.pos_divide_less_eq"
   168   "REAL_LT_LDIV_EQ" > "Ring_and_Field.pos_divide_less_eq"
   169   "REAL_LT_LADD" > "OrderedGroup.add_less_cancel_left"
   169   "REAL_LT_LADD" > "OrderedGroup.add_less_cancel_left"
   170   "REAL_LT_INV_EQ" > "Ring_and_Field.inverse_positive_iff_positive"
   170   "REAL_LT_INV_EQ" > "Ring_and_Field.inverse_positive_iff_positive"
   171   "REAL_LT_INV" > "Ring_and_Field.less_imp_inverse_less"
   171   "REAL_LT_INV" > "Ring_and_Field.less_imp_inverse_less"
   172   "REAL_LT_IMP_NE" > "Orderings.less_imp_neq"
   172   "REAL_LT_IMP_NE" > "Orderings.less_imp_neq"
   186   "REAL_LT_ADDL" > "HOL4Real.real.REAL_LT_ADDL"
   186   "REAL_LT_ADDL" > "HOL4Real.real.REAL_LT_ADDL"
   187   "REAL_LT_ADD2" > "OrderedGroup.add_strict_mono"
   187   "REAL_LT_ADD2" > "OrderedGroup.add_strict_mono"
   188   "REAL_LT_ADD1" > "HOL4Real.real.REAL_LT_ADD1"
   188   "REAL_LT_ADD1" > "HOL4Real.real.REAL_LT_ADD1"
   189   "REAL_LT_ADD" > "OrderedGroup.add_pos_pos"
   189   "REAL_LT_ADD" > "OrderedGroup.add_pos_pos"
   190   "REAL_LT_1" > "HOL4Real.real.REAL_LT_1"
   190   "REAL_LT_1" > "HOL4Real.real.REAL_LT_1"
   191   "REAL_LT_01" > "Ring_and_Field.ordered_semidom.zero_less_one"
   191   "REAL_LT_01" > "Ring_and_Field.ordered_semidom_class.zero_less_one"
   192   "REAL_LTE_TRANS" > "Set.basic_trans_rules_24"
   192   "REAL_LTE_TRANS" > "Set.basic_trans_rules_24"
   193   "REAL_LTE_TOTAL" > "HOL4Real.real.REAL_LTE_TOTAL"
   193   "REAL_LTE_TOTAL" > "HOL4Real.real.REAL_LTE_TOTAL"
   194   "REAL_LTE_ANTSYM" > "HOL4Real.real.REAL_LTE_ANTSYM"
   194   "REAL_LTE_ANTSYM" > "HOL4Real.real.REAL_LTE_ANTSYM"
   195   "REAL_LTE_ADD2" > "OrderedGroup.add_less_le_mono"
   195   "REAL_LTE_ADD2" > "OrderedGroup.add_less_le_mono"
   196   "REAL_LTE_ADD" > "OrderedGroup.add_pos_nonneg"
   196   "REAL_LTE_ADD" > "OrderedGroup.add_pos_nonneg"
   197   "REAL_LT1_POW2" > "HOL4Real.real.REAL_LT1_POW2"
   197   "REAL_LT1_POW2" > "HOL4Real.real.REAL_LT1_POW2"
   198   "REAL_LT" > "RealDef.real_of_nat_less_iff"
   198   "REAL_LT" > "RealDef.real_of_nat_less_iff"
   199   "REAL_LNEG_UNIQ" > "HOL4Real.real.REAL_LNEG_UNIQ"
   199   "REAL_LNEG_UNIQ" > "HOL4Real.real.REAL_LNEG_UNIQ"
   200   "REAL_LINV_UNIQ" > "HOL4Real.real.REAL_LINV_UNIQ"
   200   "REAL_LINV_UNIQ" > "HOL4Real.real.REAL_LINV_UNIQ"
   201   "REAL_LE_TRANS" > "Set.basic_trans_rules_25"
   201   "REAL_LE_TRANS" > "Set.basic_trans_rules_25"
   202   "REAL_LE_TOTAL" > "Orderings.linorder.linorder_linear"
   202   "REAL_LE_TOTAL" > "Orderings.linorder_class.linorder_linear"
   203   "REAL_LE_SUB_RADD" > "OrderedGroup.compare_rls_8"
   203   "REAL_LE_SUB_RADD" > "OrderedGroup.compare_rls_8"
   204   "REAL_LE_SUB_LADD" > "OrderedGroup.compare_rls_9"
   204   "REAL_LE_SUB_LADD" > "OrderedGroup.compare_rls_9"
   205   "REAL_LE_SQUARE" > "Ring_and_Field.zero_le_square"
   205   "REAL_LE_SQUARE" > "Ring_and_Field.zero_le_square"
   206   "REAL_LE_RNEG" > "OrderedGroup.le_eq_neg"
   206   "REAL_LE_RNEG" > "OrderedGroup.le_eq_neg"
   207   "REAL_LE_RMUL_IMP" > "Ring_and_Field.pordered_semiring.mult_right_mono"
   207   "REAL_LE_RMUL_IMP" > "Ring_and_Field.pordered_semiring_class.mult_right_mono"
   208   "REAL_LE_RMUL" > "RealDef.real_mult_le_cancel_iff1"
   208   "REAL_LE_RMUL" > "RealDef.real_mult_le_cancel_iff1"
   209   "REAL_LE_REFL" > "Finite_Set.max.f_below.below_refl"
   209   "REAL_LE_REFL" > "Finite_Set.max.f_below.below_refl"
   210   "REAL_LE_RDIV_EQ" > "Ring_and_Field.pos_le_divide_eq"
   210   "REAL_LE_RDIV_EQ" > "Ring_and_Field.pos_le_divide_eq"
   211   "REAL_LE_RDIV" > "Ring_and_Field.mult_imp_le_div_pos"
   211   "REAL_LE_RDIV" > "Ring_and_Field.mult_imp_le_div_pos"
   212   "REAL_LE_RADD" > "OrderedGroup.add_le_cancel_right"
   212   "REAL_LE_RADD" > "OrderedGroup.add_le_cancel_right"
   218   "REAL_LE_NEG" > "OrderedGroup.neg_le_iff_le"
   218   "REAL_LE_NEG" > "OrderedGroup.neg_le_iff_le"
   219   "REAL_LE_MUL2" > "HOL4Real.real.REAL_LE_MUL2"
   219   "REAL_LE_MUL2" > "HOL4Real.real.REAL_LE_MUL2"
   220   "REAL_LE_MUL" > "Ring_and_Field.mult_nonneg_nonneg"
   220   "REAL_LE_MUL" > "Ring_and_Field.mult_nonneg_nonneg"
   221   "REAL_LE_LT" > "Orderings.order_le_less"
   221   "REAL_LE_LT" > "Orderings.order_le_less"
   222   "REAL_LE_LNEG" > "RealDef.real_0_le_add_iff"
   222   "REAL_LE_LNEG" > "RealDef.real_0_le_add_iff"
   223   "REAL_LE_LMUL_IMP" > "Ring_and_Field.pordered_comm_semiring.mult_mono"
   223   "REAL_LE_LMUL_IMP" > "Ring_and_Field.pordered_comm_semiring_class.mult_mono"
   224   "REAL_LE_LMUL" > "RealDef.real_mult_le_cancel_iff2"
   224   "REAL_LE_LMUL" > "RealDef.real_mult_le_cancel_iff2"
   225   "REAL_LE_LDIV_EQ" > "Ring_and_Field.pos_divide_le_eq"
   225   "REAL_LE_LDIV_EQ" > "Ring_and_Field.pos_divide_le_eq"
   226   "REAL_LE_LDIV" > "Ring_and_Field.mult_imp_div_pos_le"
   226   "REAL_LE_LDIV" > "Ring_and_Field.mult_imp_div_pos_le"
   227   "REAL_LE_LADD_IMP" > "OrderedGroup.pordered_ab_semigroup_add.add_left_mono"
   227   "REAL_LE_LADD_IMP" > "OrderedGroup.pordered_ab_semigroup_add_class.add_left_mono"
   228   "REAL_LE_LADD" > "OrderedGroup.add_le_cancel_left"
   228   "REAL_LE_LADD" > "OrderedGroup.add_le_cancel_left"
   229   "REAL_LE_INV_EQ" > "Ring_and_Field.inverse_nonnegative_iff_nonnegative"
   229   "REAL_LE_INV_EQ" > "Ring_and_Field.inverse_nonnegative_iff_nonnegative"
   230   "REAL_LE_INV" > "HOL4Real.real.REAL_LE_INV"
   230   "REAL_LE_INV" > "HOL4Real.real.REAL_LE_INV"
   231   "REAL_LE_DOUBLE" > "OrderedGroup.zero_le_double_add_iff_zero_le_single_add"
   231   "REAL_LE_DOUBLE" > "OrderedGroup.zero_le_double_add_iff_zero_le_single_add"
   232   "REAL_LE_DIV" > "HOL4Real.real.REAL_LE_DIV"
   232   "REAL_LE_DIV" > "HOL4Real.real.REAL_LE_DIV"
   249   "REAL_INV_MUL" > "HOL4Real.real.REAL_INV_MUL"
   249   "REAL_INV_MUL" > "HOL4Real.real.REAL_INV_MUL"
   250   "REAL_INV_LT1" > "RealDef.real_inverse_gt_one"
   250   "REAL_INV_LT1" > "RealDef.real_inverse_gt_one"
   251   "REAL_INV_INV" > "Ring_and_Field.inverse_inverse_eq"
   251   "REAL_INV_INV" > "Ring_and_Field.inverse_inverse_eq"
   252   "REAL_INV_EQ_0" > "Ring_and_Field.inverse_nonzero_iff_nonzero"
   252   "REAL_INV_EQ_0" > "Ring_and_Field.inverse_nonzero_iff_nonzero"
   253   "REAL_INV_1OVER" > "Ring_and_Field.inverse_eq_divide"
   253   "REAL_INV_1OVER" > "Ring_and_Field.inverse_eq_divide"
   254   "REAL_INV_0" > "Ring_and_Field.division_by_zero.inverse_zero"
   254   "REAL_INV_0" > "Ring_and_Field.division_by_zero_class.inverse_zero"
   255   "REAL_INVINV" > "Ring_and_Field.nonzero_inverse_inverse_eq"
   255   "REAL_INVINV" > "Ring_and_Field.nonzero_inverse_inverse_eq"
   256   "REAL_INV1" > "Ring_and_Field.inverse_1"
   256   "REAL_INV1" > "Ring_and_Field.inverse_1"
   257   "REAL_INJ" > "RealDef.real_of_nat_inject"
   257   "REAL_INJ" > "RealDef.real_of_nat_inject"
   258   "REAL_HALF_DOUBLE" > "RComplete.real_sum_of_halves"
   258   "REAL_HALF_DOUBLE" > "RComplete.real_sum_of_halves"
   259   "REAL_FACT_NZ" > "HOL4Real.real.REAL_FACT_NZ"
   259   "REAL_FACT_NZ" > "HOL4Real.real.REAL_FACT_NZ"