src/HOL/Import/HOL4/Generated/arithmetic.imp
author boehmes
Tue, 27 Mar 2012 17:11:02 +0200
changeset 47155 ade3fc826af3
parent 46787 3d3d8f8929a7
permissions -rw-r--r--
dropped support for List.distinct in binding to SMT solvers: only few applications benefited from this support, and in some cases the smt method fails due to its support for List.distinct
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import
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import_segment "hol4"
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def_maps
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  "nat_elim__magic" > "nat_elim__magic_def"
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  "ODD" > "ODD_def"
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  "FACT" > "FACT_def"
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  "EVEN" > "EVEN_def"
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const_maps
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  "num_case" > "Nat.nat.nat_case"
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  "nat_elim__magic" > "HOL4Base.arithmetic.nat_elim__magic"
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  "NUMERAL_BIT2" > "Compatibility.NUMERAL_BIT2"
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  "NUMERAL_BIT1" > "Compatibility.NUMERAL_BIT1"
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  "NUMERAL" > "Compatibility.NUMERAL"
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  "MOD" > "Divides.div_class.mod" :: "nat => nat => nat"
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  "MIN" > "Orderings.ord_class.min" :: "nat => nat => nat"
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  "MAX" > "Orderings.ord_class.max" :: "nat => nat => nat"
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  "FUNPOW" > "Compatibility.FUNPOW"
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  "EXP" > "Power.power_class.power" :: "nat => nat => nat"
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  "DIV" > "Divides.div_class.div" :: "nat => nat => nat"
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  "ALT_ZERO" > "Compatibility.ALT_ZERO"
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  ">=" > "Compatibility.nat_ge"
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  ">" > "Compatibility.nat_gt"
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  "<=" > "Orderings.ord_class.less_eq" :: "nat => nat => bool"
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  "-" > "Groups.minus_class.minus" :: "nat => nat => nat"
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  "+" > "Groups.plus_class.plus" :: "nat => nat => nat"
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  "*" > "Groups.times_class.times" :: "nat => nat => nat"
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thm_maps
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  "num_case_def" > "Compatibility.num_case_def"
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  "num_case_cong" > "HOL4Base.arithmetic.num_case_cong"
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  "num_case_compute" > "HOL4Base.arithmetic.num_case_compute"
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  "num_CASES" > "Nat.nat.nchotomy"
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  "nat_elim__magic_def" > "HOL4Base.arithmetic.nat_elim__magic_def"
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  "nat_elim__magic" > "HOL4Base.arithmetic.nat_elim__magic"
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  "ZERO_MOD" > "HOL4Base.arithmetic.ZERO_MOD"
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  "ZERO_LESS_EXP" > "HOL4Base.arithmetic.ZERO_LESS_EXP"
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  "ZERO_LESS_EQ" > "Nat.le0"
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  "ZERO_DIV" > "HOL4Base.arithmetic.ZERO_DIV"
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  "WOP" > "HOL4Base.arithmetic.WOP"
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  "TWO" > "HOL4Base.arithmetic.TWO"
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  "TIMES2" > "Int.semiring_mult_2"
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  "SUC_SUB1" > "Nat.diff_Suc_1"
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  "SUC_ONE_ADD" > "Nat_Numeral.Suc_eq_plus1_left"
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  "SUC_NOT" > "Nat.Zero_not_Suc"
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  "SUC_ELIM_THM" > "HOL4Base.arithmetic.SUC_ELIM_THM"
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  "SUC_ADD_SYM" > "HOL4Base.arithmetic.SUC_ADD_SYM"
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  "SUB_SUB" > "Nat.diff_diff_right"
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  "SUB_RIGHT_SUB" > "Nat.diff_diff_left"
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  "SUB_RIGHT_LESS_EQ" > "HOL4Base.arithmetic.SUB_RIGHT_LESS_EQ"
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  "SUB_RIGHT_LESS" > "HOL4Base.arithmetic.SUB_RIGHT_LESS"
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  "SUB_RIGHT_GREATER_EQ" > "HOL4Base.arithmetic.SUB_RIGHT_GREATER_EQ"
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  "SUB_RIGHT_GREATER" > "HOL4Base.arithmetic.SUB_RIGHT_GREATER"
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  "SUB_RIGHT_EQ" > "HOL4Base.arithmetic.SUB_RIGHT_EQ"
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  "SUB_RIGHT_ADD" > "HOL4Base.arithmetic.SUB_RIGHT_ADD"
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  "SUB_PLUS" > "Nat.diff_diff_left"
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  "SUB_MONO_EQ" > "Nat.diff_Suc_Suc"
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  "SUB_LESS_OR" > "HOL4Base.arithmetic.SUB_LESS_OR"
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  "SUB_LESS_EQ_ADD" > "HOL4Base.arithmetic.SUB_LESS_EQ_ADD"
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  "SUB_LESS_EQ" > "Nat.diff_le_self"
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  "SUB_LESS_0" > "Nat.zero_less_diff"
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  "SUB_LEFT_SUC" > "HOL4Base.arithmetic.SUB_LEFT_SUC"
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  "SUB_LEFT_SUB" > "HOL4Base.arithmetic.SUB_LEFT_SUB"
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  "SUB_LEFT_LESS_EQ" > "HOL4Base.arithmetic.SUB_LEFT_LESS_EQ"
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  "SUB_LEFT_LESS" > "Nat.less_diff_conv"
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  "SUB_LEFT_GREATER_EQ" > "Nat.le_diff_conv"
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  "SUB_LEFT_GREATER" > "HOL4Base.arithmetic.SUB_LEFT_GREATER"
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  "SUB_LEFT_EQ" > "HOL4Base.arithmetic.SUB_LEFT_EQ"
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  "SUB_LEFT_ADD" > "HOL4Base.arithmetic.SUB_LEFT_ADD"
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  "SUB_EQ_EQ_0" > "HOL4Base.arithmetic.SUB_EQ_EQ_0"
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  "SUB_EQ_0" > "Nat.diff_is_0_eq"
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  "SUB_EQUAL_0" > "Nat.diff_self_eq_0"
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  "SUB_ELIM_THM" > "HOL4Base.arithmetic.SUB_ELIM_THM"
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  "SUB_CANCEL" > "HOL4Base.arithmetic.SUB_CANCEL"
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  "SUB_ADD" > "Nat.le_add_diff_inverse2"
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  "SUB_0" > "HOL4Base.arithmetic.SUB_0"
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  "SUB" > "Compatibility.SUB"
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  "RIGHT_SUB_DISTRIB" > "Nat.diff_mult_distrib"
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  "RIGHT_ADD_DISTRIB" > "Fields.linordered_field_class.sign_simps_26"
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  "PRE_SUC_EQ" > "HOL4Base.arithmetic.PRE_SUC_EQ"
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  "PRE_SUB1" > "HOL4Base.arithmetic.PRE_SUB1"
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  "PRE_SUB" > "HOL4Base.arithmetic.PRE_SUB"
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  "PRE_ELIM_THM" > "HOL4Base.arithmetic.PRE_ELIM_THM"
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  "OR_LESS" > "Nat.Suc_le_lessD"
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  "ONE" > "Nat.One_nat_def"
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  "ODD_OR_EVEN" > "HOL4Base.arithmetic.ODD_OR_EVEN"
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  "ODD_MULT" > "HOL4Base.arithmetic.ODD_MULT"
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  "ODD_EXISTS" > "HOL4Base.arithmetic.ODD_EXISTS"
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  "ODD_EVEN" > "HOL4Base.arithmetic.ODD_EVEN"
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  "ODD_DOUBLE" > "HOL4Base.arithmetic.ODD_DOUBLE"
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  "ODD_ADD" > "HOL4Base.arithmetic.ODD_ADD"
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  "ODD" > "HOL4Base.arithmetic.ODD"
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  "NUMERAL_DEF" > "Compatibility.NUMERAL_def"
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  "NUMERAL_BIT2" > "Compatibility.NUMERAL_BIT2_def"
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  "NUMERAL_BIT1" > "Compatibility.NUMERAL_BIT1_def"
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  "NOT_ZERO_LT_ZERO" > "Nat.neq0_conv"
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  "NOT_SUC_LESS_EQ_0" > "HOL4Base.arithmetic.NOT_SUC_LESS_EQ_0"
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  "NOT_SUC_LESS_EQ" > "HOL4Base.arithmetic.NOT_SUC_LESS_EQ"
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  "NOT_SUC_ADD_LESS_EQ" > "HOL4Base.arithmetic.NOT_SUC_ADD_LESS_EQ"
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  "NOT_ODD_EQ_EVEN" > "HOL4Base.arithmetic.NOT_ODD_EQ_EVEN"
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  "NOT_NUM_EQ" > "HOL4Base.arithmetic.NOT_NUM_EQ"
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  "NOT_LESS_EQUAL" > "Orderings.linorder_class.not_le"
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  "NOT_LESS" > "Orderings.linorder_class.not_less"
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  "NOT_LEQ" > "Nat.not_less_eq_eq"
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  "NOT_GREATER_EQ" > "Nat.not_less_eq_eq"
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  "NOT_GREATER" > "Orderings.linorder_class.not_less"
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  "NOT_EXP_0" > "HOL4Base.arithmetic.NOT_EXP_0"
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  "NORM_0" > "HOL4Base.arithmetic.NORM_0"
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  "MULT_SYM" > "Fields.linordered_field_class.sign_simps_40"
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  "MULT_SUC_EQ" > "HOL4Base.arithmetic.MULT_SUC_EQ"
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  "MULT_SUC" > "Nat.mult_Suc_right"
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  "MULT_RIGHT_1" > "Divides.arithmetic_simps_43"
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  "MULT_MONO_EQ" > "Nat.Suc_mult_cancel1"
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  "MULT_LESS_EQ_SUC" > "Nat.Suc_mult_le_cancel1"
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  "MULT_LEFT_1" > "Divides.arithmetic_simps_42"
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  "MULT_INCREASES" > "HOL4Base.arithmetic.MULT_INCREASES"
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  "MULT_EXP_MONO" > "HOL4Base.arithmetic.MULT_EXP_MONO"
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  "MULT_EQ_1" > "Nat.nat_mult_eq_1_iff"
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  "MULT_EQ_0" > "Nat.mult_is_0"
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  "MULT_DIV" > "Divides.div_mult_self_is_m"
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  "MULT_COMM" > "Fields.linordered_field_class.sign_simps_40"
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  "MULT_CLAUSES" > "HOL4Base.arithmetic.MULT_CLAUSES"
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  "MULT_ASSOC" > "Fields.linordered_field_class.sign_simps_41"
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  "MULT_0" > "Divides.arithmetic_simps_41"
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  "MULT" > "Compatibility.MULT"
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  "MOD_UNIQUE" > "HOL4Base.arithmetic.MOD_UNIQUE"
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  "MOD_TIMES2" > "HOL4Base.arithmetic.MOD_TIMES2"
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parents:
diff changeset
   130
  "MOD_TIMES" > "HOL4Base.arithmetic.MOD_TIMES"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   131
  "MOD_PLUS" > "HOL4Base.arithmetic.MOD_PLUS"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   132
  "MOD_P" > "HOL4Base.arithmetic.MOD_P"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   133
  "MOD_ONE" > "Divides.mod_1"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   134
  "MOD_MULT_MOD" > "HOL4Base.arithmetic.MOD_MULT_MOD"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   135
  "MOD_MULT" > "HOL4Base.arithmetic.MOD_MULT"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   136
  "MOD_MOD" > "HOL4Base.arithmetic.MOD_MOD"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   137
  "MOD_EQ_0" > "HOL4Base.arithmetic.MOD_EQ_0"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   138
  "MOD_COMMON_FACTOR" > "HOL4Base.arithmetic.MOD_COMMON_FACTOR"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   139
  "MIN_MAX_PRED" > "HOL4Base.arithmetic.MIN_MAX_PRED"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   140
  "MIN_MAX_LT" > "HOL4Base.arithmetic.MIN_MAX_LT"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   141
  "MIN_MAX_EQ" > "HOL4Base.arithmetic.MIN_MAX_EQ"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   142
  "MIN_LT" > "HOL4Base.arithmetic.MIN_LT"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   143
  "MIN_LE" > "HOL4Base.arithmetic.MIN_LE"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   144
  "MIN_IDEM" > "Big_Operators.linorder_class.Min.idem"
46787
3d3d8f8929a7 file system structure separating HOL4 and HOL Light concerns
haftmann
parents: 44763
diff changeset
   145
  "MIN_DEF" > "Compatibility.MIN_DEF"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   146
  "MIN_COMM" > "Lattices.linorder_class.min_max.inf.commute"
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   147
  "MIN_ASSOC" > "Lattices.linorder_class.min_max.inf.assoc"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   148
  "MIN_0" > "HOL4Base.arithmetic.MIN_0"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   149
  "MAX_LT" > "HOL4Base.arithmetic.MAX_LT"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   150
  "MAX_LE" > "HOL4Base.arithmetic.MAX_LE"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   151
  "MAX_IDEM" > "Big_Operators.linorder_class.Max.idem"
46787
3d3d8f8929a7 file system structure separating HOL4 and HOL Light concerns
haftmann
parents: 44763
diff changeset
   152
  "MAX_DEF" > "Compatibility.MAX_DEF"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   153
  "MAX_COMM" > "Lattices.linorder_class.min_max.inf_sup_aci_5"
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   154
  "MAX_ASSOC" > "Lattices.linorder_class.min_max.inf_sup_aci_6"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   155
  "MAX_0" > "HOL4Base.arithmetic.MAX_0"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   156
  "LESS_TRANS" > "Orderings.order_less_trans"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   157
  "LESS_SUC_NOT" > "HOL4Base.arithmetic.LESS_SUC_NOT"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   158
  "LESS_SUC_EQ_COR" > "Nat.Suc_lessI"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   159
  "LESS_SUB_ADD_LESS" > "HOL4Base.arithmetic.LESS_SUB_ADD_LESS"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   160
  "LESS_OR_EQ_ADD" > "HOL4Base.arithmetic.LESS_OR_EQ_ADD"
46787
3d3d8f8929a7 file system structure separating HOL4 and HOL Light concerns
haftmann
parents: 44763
diff changeset
   161
  "LESS_OR_EQ" > "Compatibility.LESS_OR_EQ"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   162
  "LESS_OR" > "Nat.Suc_leI"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   163
  "LESS_NOT_SUC" > "HOL4Base.arithmetic.LESS_NOT_SUC"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   164
  "LESS_MULT_MONO" > "Nat.Suc_mult_less_cancel1"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   165
  "LESS_MULT2" > "Rings.linordered_semiring_strict_class.mult_pos_pos"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   166
  "LESS_MONO_REV" > "Nat.Suc_less_SucD"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   167
  "LESS_MONO_MULT" > "Nat.mult_le_mono1"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   168
  "LESS_MONO_EQ" > "Nat.Suc_less_eq"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   169
  "LESS_MONO_ADD_INV" > "Groups.ordered_ab_semigroup_add_imp_le_class.add_less_imp_less_right"
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   170
  "LESS_MONO_ADD_EQ" > "Groups.ordered_ab_semigroup_add_imp_le_class.add_less_cancel_right"
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   171
  "LESS_MONO_ADD" > "Groups.ordered_cancel_ab_semigroup_add_class.add_strict_right_mono"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   172
  "LESS_MOD" > "Divides.mod_less"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   173
  "LESS_LESS_SUC" > "HOL4Base.arithmetic.LESS_LESS_SUC"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   174
  "LESS_LESS_EQ_TRANS" > "Orderings.order_less_le_trans"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   175
  "LESS_LESS_CASES" > "HOL4Base.arithmetic.LESS_LESS_CASES"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   176
  "LESS_IMP_LESS_OR_EQ" > "FunDef.termination_basic_simps_5"
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   177
  "LESS_IMP_LESS_ADD" > "FunDef.termination_basic_simps_1"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   178
  "LESS_EXP_SUC_MONO" > "HOL4Base.arithmetic.LESS_EXP_SUC_MONO"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   179
  "LESS_EQ_TRANS" > "Nat.le_trans"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   180
  "LESS_EQ_SUC_REFL" > "HOL4Base.arithmetic.LESS_EQ_SUC_REFL"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   181
  "LESS_EQ_SUB_LESS" > "HOL4Base.arithmetic.LESS_EQ_SUB_LESS"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   182
  "LESS_EQ_REFL" > "Nat.le_refl"
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   183
  "LESS_EQ_MONO_ADD_EQ" > "Groups.ordered_ab_semigroup_add_imp_le_class.add_le_cancel_right"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   184
  "LESS_EQ_MONO" > "Nat.Suc_le_mono"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   185
  "LESS_EQ_LESS_TRANS" > "Orderings.order_le_less_trans"
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   186
  "LESS_EQ_LESS_EQ_MONO" > "Groups.add_mono_thms_linordered_semiring_1"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   187
  "LESS_EQ_IMP_LESS_SUC" > "Nat.le_imp_less_Suc"
21243
afffe1f72143 removed theory NatArith (now part of Nat);
wenzelm
parents: 19277
diff changeset
   188
  "LESS_EQ_EXISTS" > "Nat.le_iff_add"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   189
  "LESS_EQ_CASES" > "Nat.nat_le_linear"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   190
  "LESS_EQ_ANTISYM" > "HOL4Base.arithmetic.LESS_EQ_ANTISYM"
21243
afffe1f72143 removed theory NatArith (now part of Nat);
wenzelm
parents: 19277
diff changeset
   191
  "LESS_EQ_ADD_SUB" > "Nat.add_diff_assoc"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   192
  "LESS_EQ_ADD" > "Nat.le_add1"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   193
  "LESS_EQ_0" > "Nat.le_0_eq"
33657
a4179bf442d1 renamed lemmas "anti_sym" -> "antisym"
nipkow
parents: 31790
diff changeset
   194
  "LESS_EQUAL_ANTISYM" > "Nat.le_antisym"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   195
  "LESS_EQUAL_ADD" > "Series.le_Suc_ex"
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   196
  "LESS_EQ" > "Nat.Suc_le_eq"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   197
  "LESS_DIV_EQ_ZERO" > "Divides.div_less"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   198
  "LESS_CASES_IMP" > "HOL4Base.arithmetic.LESS_CASES_IMP"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   199
  "LESS_CASES" > "HOL4Base.arithmetic.LESS_CASES"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   200
  "LESS_ANTISYM" > "HOL4Base.arithmetic.LESS_ANTISYM"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   201
  "LESS_ADD_SUC" > "HOL4Base.arithmetic.LESS_ADD_SUC"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   202
  "LESS_ADD_NONZERO" > "HOL4Base.arithmetic.LESS_ADD_NONZERO"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   203
  "LESS_ADD_1" > "HOL4Base.arithmetic.LESS_ADD_1"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   204
  "LESS_ADD" > "HOL4Base.arithmetic.LESS_ADD"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   205
  "LESS_0_CASES" > "HOL4Base.arithmetic.LESS_0_CASES"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   206
  "LEFT_SUB_DISTRIB" > "Nat.diff_mult_distrib2"
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   207
  "LEFT_ADD_DISTRIB" > "Fields.linordered_field_class.sign_simps_25"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   208
  "LE" > "HOL4Base.arithmetic.LE"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   209
  "INV_PRE_LESS_EQ" > "HOL4Base.arithmetic.INV_PRE_LESS_EQ"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   210
  "INV_PRE_LESS" > "HOL4Base.arithmetic.INV_PRE_LESS"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   211
  "INV_PRE_EQ" > "HOL4Base.arithmetic.INV_PRE_EQ"
46787
3d3d8f8929a7 file system structure separating HOL4 and HOL Light concerns
haftmann
parents: 44763
diff changeset
   212
  "GREATER_OR_EQ" > "Compatibility.GREATER_OR_EQ"
3d3d8f8929a7 file system structure separating HOL4 and HOL Light concerns
haftmann
parents: 44763
diff changeset
   213
  "GREATER_EQ" > "Compatibility.real_ge"
3d3d8f8929a7 file system structure separating HOL4 and HOL Light concerns
haftmann
parents: 44763
diff changeset
   214
  "GREATER_DEF" > "Compatibility.GREATER_DEF"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   215
  "FUN_EQ_LEMMA" > "HOL4Base.arithmetic.FUN_EQ_LEMMA"
46787
3d3d8f8929a7 file system structure separating HOL4 and HOL Light concerns
haftmann
parents: 44763
diff changeset
   216
  "FUNPOW" > "Compatibility.FUNPOW"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   217
  "FACT_LESS" > "HOL4Base.arithmetic.FACT_LESS"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   218
  "FACT" > "HOL4Base.arithmetic.FACT"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   219
  "EXP_INJECTIVE" > "Power.linordered_semidom_class.power_inject_exp"
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   220
  "EXP_EQ_1" > "Primes.exp_eq_1"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   221
  "EXP_EQ_0" > "HOL4Base.arithmetic.EXP_EQ_0"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   222
  "EXP_ALWAYS_BIG_ENOUGH" > "HOL4Base.arithmetic.EXP_ALWAYS_BIG_ENOUGH"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   223
  "EXP_ADD" > "Power.monoid_mult_class.power_add"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   224
  "EXP_1" > "HOL4Base.arithmetic.EXP_1"
46787
3d3d8f8929a7 file system structure separating HOL4 and HOL Light concerns
haftmann
parents: 44763
diff changeset
   225
  "EXP" > "Compatibility.EXP"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   226
  "EXISTS_GREATEST" > "HOL4Base.arithmetic.EXISTS_GREATEST"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   227
  "EVEN_OR_ODD" > "HOL4Base.arithmetic.EVEN_OR_ODD"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   228
  "EVEN_ODD_EXISTS" > "HOL4Base.arithmetic.EVEN_ODD_EXISTS"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   229
  "EVEN_ODD" > "HOL4Base.arithmetic.EVEN_ODD"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   230
  "EVEN_MULT" > "HOL4Base.arithmetic.EVEN_MULT"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   231
  "EVEN_EXISTS" > "HOL4Base.arithmetic.EVEN_EXISTS"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   232
  "EVEN_DOUBLE" > "HOL4Base.arithmetic.EVEN_DOUBLE"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   233
  "EVEN_AND_ODD" > "HOL4Base.arithmetic.EVEN_AND_ODD"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   234
  "EVEN_ADD" > "HOL4Base.arithmetic.EVEN_ADD"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   235
  "EVEN" > "HOL4Base.arithmetic.EVEN"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   236
  "EQ_MULT_LCANCEL" > "Numeral_Simprocs.nat_mult_eq_cancel_disj"
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   237
  "EQ_MONO_ADD_EQ" > "Groups.cancel_semigroup_add_class.add_right_cancel"
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   238
  "EQ_LESS_EQ" > "Orderings.order_class.eq_iff"
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   239
  "EQ_ADD_RCANCEL" > "Groups.cancel_semigroup_add_class.add_right_cancel"
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   240
  "EQ_ADD_LCANCEL" > "Groups.cancel_semigroup_add_class.add_left_cancel"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   241
  "DIV_UNIQUE" > "HOL4Base.arithmetic.DIV_UNIQUE"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   242
  "DIV_P" > "HOL4Base.arithmetic.DIV_P"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   243
  "DIV_ONE" > "Divides.div_1"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   244
  "DIV_MULT" > "HOL4Base.arithmetic.DIV_MULT"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   245
  "DIV_LESS_EQ" > "HOL4Base.arithmetic.DIV_LESS_EQ"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   246
  "DIV_LESS" > "Divides.div_less_dividend"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   247
  "DIV_DIV_DIV_MULT" > "HOL4Base.arithmetic.DIV_DIV_DIV_MULT"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   248
  "DIVMOD_ID" > "HOL4Base.arithmetic.DIVMOD_ID"
46787
3d3d8f8929a7 file system structure separating HOL4 and HOL Light concerns
haftmann
parents: 44763
diff changeset
   249
  "DIVISION" > "Compatibility.DIVISION"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   250
  "DA" > "HOL4Base.arithmetic.DA"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   251
  "COMPLETE_INDUCTION" > "Nat.nat_less_induct"
21243
afffe1f72143 removed theory NatArith (now part of Nat);
wenzelm
parents: 19277
diff changeset
   252
  "CANCEL_SUB" > "Nat.eq_diff_iff"
46787
3d3d8f8929a7 file system structure separating HOL4 and HOL Light concerns
haftmann
parents: 44763
diff changeset
   253
  "ALT_ZERO" > "Compatibility.ALT_ZERO_def"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   254
  "ADD_SYM" > "Fields.linordered_field_class.sign_simps_43"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   255
  "ADD_SUC" > "Nat.add_Suc_right"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   256
  "ADD_SUB" > "Nat.diff_add_inverse2"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   257
  "ADD_MONO_LESS_EQ" > "Groups.ordered_ab_semigroup_add_imp_le_class.add_le_cancel_left"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   258
  "ADD_INV_0_EQ" > "HOL4Base.arithmetic.ADD_INV_0_EQ"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   259
  "ADD_INV_0" > "Nat.add_eq_self_zero"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   260
  "ADD_EQ_SUB" > "HOL4Base.arithmetic.ADD_EQ_SUB"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   261
  "ADD_EQ_1" > "HOL4Base.arithmetic.ADD_EQ_1"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   262
  "ADD_EQ_0" > "Nat.add_is_0"
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   263
  "ADD_DIV_ADD_DIV" > "HOL4Base.arithmetic.ADD_DIV_ADD_DIV"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   264
  "ADD_COMM" > "Fields.linordered_field_class.sign_simps_43"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   265
  "ADD_CLAUSES" > "HOL4Base.arithmetic.ADD_CLAUSES"
44763
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   266
  "ADD_ASSOC" > "Fields.linordered_field_class.sign_simps_44"
b50d5d694838 HOL/Import: Update HOL4 generated files to current Isabelle.
Cezary Kaliszyk <kaliszyk@in.tum.de>
parents: 35267
diff changeset
   267
  "ADD_0" > "Divides.arithmetic_simps_39"
31790
05c92381363c corrected and unified thm names
nipkow
parents: 30925
diff changeset
   268
  "ADD1" > "Nat_Numeral.Suc_eq_plus1"
46787
3d3d8f8929a7 file system structure separating HOL4 and HOL Light concerns
haftmann
parents: 44763
diff changeset
   269
  "ADD" > "Compatibility.ADD"
14516
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   270
a183dec876ab Added HOL proof importer.
skalberg
parents:
diff changeset
   271
end