| author | wenzelm |
| Mon, 09 Oct 2006 02:20:01 +0200 | |
| changeset 20907 | 9673c67dde9b |
| parent 19277 | f7602e74d948 |
| child 21243 | afffe1f72143 |
| permissions | -rw-r--r-- |
| 14516 | 1 |
import |
2 |
||
3 |
import_segment "hol4" |
|
4 |
||
5 |
def_maps |
|
6 |
"nat_elim__magic" > "nat_elim__magic_def" |
|
7 |
"ODD" > "ODD_def" |
|
8 |
"FACT" > "FACT_def" |
|
9 |
"EVEN" > "EVEN_def" |
|
10 |
||
11 |
const_maps |
|
12 |
"num_case" > "Nat.nat.nat_case" |
|
13 |
"nat_elim__magic" > "HOL4Base.arithmetic.nat_elim__magic" |
|
14 |
"NUMERAL_BIT2" > "HOL4Compat.NUMERAL_BIT2" |
|
15 |
"NUMERAL_BIT1" > "HOL4Compat.NUMERAL_BIT1" |
|
16 |
"NUMERAL" > "HOL4Compat.NUMERAL" |
|
17 |
"MOD" > "Divides.op mod" :: "nat => nat => nat" |
|
| 15647 | 18 |
"MIN" > "Orderings.min" :: "nat => nat => nat" |
19 |
"MAX" > "Orderings.max" :: "nat => nat => nat" |
|
| 14516 | 20 |
"FUNPOW" > "HOL4Compat.FUNPOW" |
21 |
"EXP" > "Nat.power" :: "nat => nat => nat" |
|
22 |
"DIV" > "Divides.op div" :: "nat => nat => nat" |
|
23 |
"ALT_ZERO" > "HOL4Compat.ALT_ZERO" |
|
24 |
">=" > "HOL4Compat.nat_ge" |
|
25 |
">" > "HOL4Compat.nat_gt" |
|
| 19277 | 26 |
"<=" > "Orderings.less_eq" :: "nat => nat => bool" |
|
19233
77ca20b0ed77
renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents:
17727
diff
changeset
|
27 |
"-" > "HOL.minus" :: "nat => nat => nat" |
|
77ca20b0ed77
renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents:
17727
diff
changeset
|
28 |
"+" > "HOL.plus" :: "nat => nat => nat" |
|
77ca20b0ed77
renamed HOL + - * etc. to HOL.plus HOL.minus HOL.times etc.
haftmann
parents:
17727
diff
changeset
|
29 |
"*" > "HOL.times" :: "nat => nat => nat" |
| 14516 | 30 |
|
31 |
thm_maps |
|
32 |
"num_case_def" > "HOL4Compat.num_case_def" |
|
33 |
"num_case_cong" > "HOL4Base.arithmetic.num_case_cong" |
|
34 |
"num_case_compute" > "HOL4Base.arithmetic.num_case_compute" |
|
35 |
"num_CASES" > "Nat.nat.nchotomy" |
|
36 |
"nat_elim__magic_def" > "HOL4Base.arithmetic.nat_elim__magic_def" |
|
37 |
"nat_elim__magic" > "HOL4Base.arithmetic.nat_elim__magic" |
|
38 |
"ZERO_MOD" > "HOL4Base.arithmetic.ZERO_MOD" |
|
39 |
"ZERO_LESS_EXP" > "HOL4Base.arithmetic.ZERO_LESS_EXP" |
|
40 |
"ZERO_LESS_EQ" > "Nat.le0" |
|
41 |
"ZERO_DIV" > "HOL4Base.arithmetic.ZERO_DIV" |
|
42 |
"WOP" > "HOL4Base.arithmetic.WOP" |
|
43 |
"TWO" > "HOL4Base.arithmetic.TWO" |
|
44 |
"TIMES2" > "NatSimprocs.nat_mult_2" |
|
45 |
"SUC_SUB1" > "HOL4Base.arithmetic.SUC_SUB1" |
|
46 |
"SUC_ONE_ADD" > "NatBin.Suc_eq_add_numeral_1_left" |
|
47 |
"SUC_NOT" > "Nat.nat.simps_2" |
|
48 |
"SUC_ELIM_THM" > "HOL4Base.arithmetic.SUC_ELIM_THM" |
|
49 |
"SUC_ADD_SYM" > "HOL4Base.arithmetic.SUC_ADD_SYM" |
|
50 |
"SUB_SUB" > "NatArith.diff_diff_right" |
|
51 |
"SUB_RIGHT_SUB" > "Nat.diff_diff_left" |
|
52 |
"SUB_RIGHT_LESS_EQ" > "HOL4Base.arithmetic.SUB_RIGHT_LESS_EQ" |
|
53 |
"SUB_RIGHT_LESS" > "HOL4Base.arithmetic.SUB_RIGHT_LESS" |
|
54 |
"SUB_RIGHT_GREATER_EQ" > "HOL4Base.arithmetic.SUB_RIGHT_GREATER_EQ" |
|
55 |
"SUB_RIGHT_GREATER" > "HOL4Base.arithmetic.SUB_RIGHT_GREATER" |
|
56 |
"SUB_RIGHT_EQ" > "HOL4Base.arithmetic.SUB_RIGHT_EQ" |
|
57 |
"SUB_RIGHT_ADD" > "HOL4Base.arithmetic.SUB_RIGHT_ADD" |
|
58 |
"SUB_PLUS" > "Nat.diff_diff_left" |
|
59 |
"SUB_MONO_EQ" > "Nat.diff_Suc_Suc" |
|
60 |
"SUB_LESS_OR" > "HOL4Base.arithmetic.SUB_LESS_OR" |
|
61 |
"SUB_LESS_EQ_ADD" > "HOL4Base.arithmetic.SUB_LESS_EQ_ADD" |
|
62 |
"SUB_LESS_EQ" > "Nat.diff_le_self" |
|
63 |
"SUB_LESS_0" > "Nat.zero_less_diff" |
|
64 |
"SUB_LEFT_SUC" > "HOL4Base.arithmetic.SUB_LEFT_SUC" |
|
65 |
"SUB_LEFT_SUB" > "HOL4Base.arithmetic.SUB_LEFT_SUB" |
|
66 |
"SUB_LEFT_LESS_EQ" > "HOL4Base.arithmetic.SUB_LEFT_LESS_EQ" |
|
67 |
"SUB_LEFT_LESS" > "NatArith.less_diff_conv" |
|
68 |
"SUB_LEFT_GREATER_EQ" > "NatArith.le_diff_conv" |
|
69 |
"SUB_LEFT_GREATER" > "HOL4Base.arithmetic.SUB_LEFT_GREATER" |
|
70 |
"SUB_LEFT_EQ" > "HOL4Base.arithmetic.SUB_LEFT_EQ" |
|
71 |
"SUB_LEFT_ADD" > "HOL4Base.arithmetic.SUB_LEFT_ADD" |
|
72 |
"SUB_EQ_EQ_0" > "HOL4Base.arithmetic.SUB_EQ_EQ_0" |
|
73 |
"SUB_EQ_0" > "Nat.diff_is_0_eq" |
|
74 |
"SUB_EQUAL_0" > "Nat.diff_self_eq_0" |
|
75 |
"SUB_ELIM_THM" > "HOL4Base.arithmetic.SUB_ELIM_THM" |
|
76 |
"SUB_CANCEL" > "HOL4Base.arithmetic.SUB_CANCEL" |
|
77 |
"SUB_ADD" > "Nat.le_add_diff_inverse2" |
|
78 |
"SUB_0" > "HOL4Base.arithmetic.SUB_0" |
|
79 |
"SUB" > "HOL4Compat.SUB" |
|
80 |
"RIGHT_SUB_DISTRIB" > "Nat.nat_distrib_3" |
|
81 |
"RIGHT_ADD_DISTRIB" > "Nat.nat_distrib_1" |
|
82 |
"PRE_SUC_EQ" > "HOL4Base.arithmetic.PRE_SUC_EQ" |
|
83 |
"PRE_SUB1" > "HOL4Base.arithmetic.PRE_SUB1" |
|
84 |
"PRE_SUB" > "HOL4Base.arithmetic.PRE_SUB" |
|
85 |
"PRE_ELIM_THM" > "HOL4Base.arithmetic.PRE_ELIM_THM" |
|
86 |
"OR_LESS" > "Nat.Suc_le_lessD" |
|
87 |
"ONE" > "Nat.One_nat_def" |
|
88 |
"ODD_OR_EVEN" > "HOL4Base.arithmetic.ODD_OR_EVEN" |
|
89 |
"ODD_MULT" > "HOL4Base.arithmetic.ODD_MULT" |
|
90 |
"ODD_EXISTS" > "HOL4Base.arithmetic.ODD_EXISTS" |
|
91 |
"ODD_EVEN" > "HOL4Base.arithmetic.ODD_EVEN" |
|
92 |
"ODD_DOUBLE" > "HOL4Base.arithmetic.ODD_DOUBLE" |
|
93 |
"ODD_ADD" > "HOL4Base.arithmetic.ODD_ADD" |
|
94 |
"ODD" > "HOL4Base.arithmetic.ODD" |
|
95 |
"NUMERAL_DEF" > "HOL4Compat.NUMERAL_def" |
|
96 |
"NUMERAL_BIT2" > "HOL4Compat.NUMERAL_BIT2_def" |
|
97 |
"NUMERAL_BIT1" > "HOL4Compat.NUMERAL_BIT1_def" |
|
98 |
"NOT_ZERO_LT_ZERO" > "Nat.neq0_conv" |
|
99 |
"NOT_SUC_LESS_EQ_0" > "HOL4Base.arithmetic.NOT_SUC_LESS_EQ_0" |
|
100 |
"NOT_SUC_LESS_EQ" > "HOL4Base.arithmetic.NOT_SUC_LESS_EQ" |
|
101 |
"NOT_SUC_ADD_LESS_EQ" > "HOL4Base.arithmetic.NOT_SUC_ADD_LESS_EQ" |
|
102 |
"NOT_ODD_EQ_EVEN" > "HOL4Base.arithmetic.NOT_ODD_EQ_EVEN" |
|
103 |
"NOT_NUM_EQ" > "HOL4Base.arithmetic.NOT_NUM_EQ" |
|
| 16796 | 104 |
"NOT_LESS_EQUAL" > "Orderings.linorder_not_le" |
| 17188 | 105 |
"NOT_LESS" > "Nat.le_def" |
| 14516 | 106 |
"NOT_LEQ" > "HOL4Base.arithmetic.NOT_LEQ" |
107 |
"NOT_GREATER_EQ" > "HOL4Base.arithmetic.NOT_GREATER_EQ" |
|
| 17188 | 108 |
"NOT_GREATER" > "Nat.le_def" |
| 14516 | 109 |
"NOT_EXP_0" > "HOL4Base.arithmetic.NOT_EXP_0" |
110 |
"NORM_0" > "HOL4Base.arithmetic.NORM_0" |
|
| 17188 | 111 |
"MULT_SYM" > "IntDef.zmult_ac_2" |
| 14516 | 112 |
"MULT_SUC_EQ" > "HOL4Base.arithmetic.MULT_SUC_EQ" |
113 |
"MULT_SUC" > "Nat.mult_Suc_right" |
|
| 17188 | 114 |
"MULT_RIGHT_1" > "Finite_Set.AC_mult.f_e.ident" |
| 14516 | 115 |
"MULT_MONO_EQ" > "Nat.Suc_mult_cancel1" |
116 |
"MULT_LESS_EQ_SUC" > "Nat.Suc_mult_le_cancel1" |
|
| 17188 | 117 |
"MULT_LEFT_1" > "Finite_Set.AC_mult.f_e.left_ident" |
| 14516 | 118 |
"MULT_INCREASES" > "HOL4Base.arithmetic.MULT_INCREASES" |
119 |
"MULT_EXP_MONO" > "HOL4Base.arithmetic.MULT_EXP_MONO" |
|
120 |
"MULT_EQ_1" > "HOL4Base.arithmetic.MULT_EQ_1" |
|
121 |
"MULT_EQ_0" > "Nat.mult_is_0" |
|
122 |
"MULT_DIV" > "Divides.div_mult_self_is_m" |
|
| 17188 | 123 |
"MULT_COMM" > "IntDef.zmult_ac_2" |
| 14516 | 124 |
"MULT_CLAUSES" > "HOL4Base.arithmetic.MULT_CLAUSES" |
| 17188 | 125 |
"MULT_ASSOC" > "IntDef.zmult_ac_1" |
| 14516 | 126 |
"MULT_0" > "Nat.mult_0_right" |
127 |
"MULT" > "HOL4Compat.MULT" |
|
128 |
"MOD_UNIQUE" > "HOL4Base.arithmetic.MOD_UNIQUE" |
|
129 |
"MOD_TIMES2" > "HOL4Base.arithmetic.MOD_TIMES2" |
|
130 |
"MOD_TIMES" > "HOL4Base.arithmetic.MOD_TIMES" |
|
131 |
"MOD_PLUS" > "HOL4Base.arithmetic.MOD_PLUS" |
|
132 |
"MOD_P" > "HOL4Base.arithmetic.MOD_P" |
|
133 |
"MOD_ONE" > "Divides.mod_1" |
|
134 |
"MOD_MULT_MOD" > "HOL4Base.arithmetic.MOD_MULT_MOD" |
|
135 |
"MOD_MULT" > "HOL4Base.arithmetic.MOD_MULT" |
|
136 |
"MOD_MOD" > "HOL4Base.arithmetic.MOD_MOD" |
|
137 |
"MOD_EQ_0" > "HOL4Base.arithmetic.MOD_EQ_0" |
|
138 |
"MOD_COMMON_FACTOR" > "HOL4Base.arithmetic.MOD_COMMON_FACTOR" |
|
139 |
"MIN_MAX_PRED" > "HOL4Base.arithmetic.MIN_MAX_PRED" |
|
140 |
"MIN_MAX_LT" > "HOL4Base.arithmetic.MIN_MAX_LT" |
|
141 |
"MIN_MAX_EQ" > "HOL4Base.arithmetic.MIN_MAX_EQ" |
|
142 |
"MIN_LT" > "HOL4Base.arithmetic.MIN_LT" |
|
143 |
"MIN_LE" > "HOL4Base.arithmetic.MIN_LE" |
|
| 17188 | 144 |
"MIN_IDEM" > "Finite_Set.min.f.ACI_4" |
| 14516 | 145 |
"MIN_DEF" > "HOL4Compat.MIN_DEF" |
| 17188 | 146 |
"MIN_COMM" > "Finite_Set.min.f.ACI_2" |
147 |
"MIN_ASSOC" > "Finite_Set.min.f.ACI_1" |
|
| 14516 | 148 |
"MIN_0" > "HOL4Base.arithmetic.MIN_0" |
149 |
"MAX_LT" > "HOL4Base.arithmetic.MAX_LT" |
|
150 |
"MAX_LE" > "HOL4Base.arithmetic.MAX_LE" |
|
| 17188 | 151 |
"MAX_IDEM" > "Finite_Set.max.f.ACI_4" |
| 14516 | 152 |
"MAX_DEF" > "HOL4Compat.MAX_DEF" |
| 17188 | 153 |
"MAX_COMM" > "Finite_Set.max.f.ACI_2" |
154 |
"MAX_ASSOC" > "Finite_Set.max.f.ACI_1" |
|
| 14516 | 155 |
"MAX_0" > "HOL4Base.arithmetic.MAX_0" |
156 |
"LESS_TRANS" > "Nat.less_trans" |
|
157 |
"LESS_SUC_NOT" > "HOL4Base.arithmetic.LESS_SUC_NOT" |
|
158 |
"LESS_SUC_EQ_COR" > "Nat.Suc_lessI" |
|
159 |
"LESS_SUB_ADD_LESS" > "HOL4Base.arithmetic.LESS_SUB_ADD_LESS" |
|
160 |
"LESS_OR_EQ_ADD" > "HOL4Base.arithmetic.LESS_OR_EQ_ADD" |
|
161 |
"LESS_OR_EQ" > "HOL4Compat.LESS_OR_EQ" |
|
162 |
"LESS_OR" > "Nat.Suc_leI" |
|
163 |
"LESS_NOT_SUC" > "HOL4Base.arithmetic.LESS_NOT_SUC" |
|
164 |
"LESS_MULT_MONO" > "Nat.Suc_mult_less_cancel1" |
|
|
16775
c1b87ef4a1c3
added lemmas to OrderedGroup.thy (reasoning about signs, absolute value, triangle inequalities)
avigad
parents:
15647
diff
changeset
|
165 |
"LESS_MULT2" > "Ring_and_Field.mult_pos_pos" |
| 14516 | 166 |
"LESS_MONO_REV" > "Nat.Suc_less_SucD" |
167 |
"LESS_MONO_MULT" > "Nat.mult_le_mono1" |
|
168 |
"LESS_MONO_EQ" > "Nat.Suc_less_eq" |
|
| 14796 | 169 |
"LESS_MONO_ADD_INV" > "OrderedGroup.add_less_imp_less_right" |
170 |
"LESS_MONO_ADD_EQ" > "OrderedGroup.add_less_cancel_right" |
|
| 14516 | 171 |
"LESS_MONO_ADD" > "Nat.add_less_mono1" |
172 |
"LESS_MOD" > "Divides.mod_less" |
|
173 |
"LESS_LESS_SUC" > "HOL4Base.arithmetic.LESS_LESS_SUC" |
|
174 |
"LESS_LESS_EQ_TRANS" > "Nat.less_le_trans" |
|
175 |
"LESS_LESS_CASES" > "HOL4Base.arithmetic.LESS_LESS_CASES" |
|
176 |
"LESS_IMP_LESS_OR_EQ" > "Nat.le_simps_1" |
|
177 |
"LESS_IMP_LESS_ADD" > "Nat.trans_less_add1" |
|
178 |
"LESS_EXP_SUC_MONO" > "HOL4Base.arithmetic.LESS_EXP_SUC_MONO" |
|
179 |
"LESS_EQ_TRANS" > "Nat.le_trans" |
|
180 |
"LESS_EQ_SUC_REFL" > "HOL4Base.arithmetic.LESS_EQ_SUC_REFL" |
|
181 |
"LESS_EQ_SUB_LESS" > "HOL4Base.arithmetic.LESS_EQ_SUB_LESS" |
|
| 17188 | 182 |
"LESS_EQ_REFL" > "Finite_Set.max.f_below.below_refl" |
| 14796 | 183 |
"LESS_EQ_MONO_ADD_EQ" > "OrderedGroup.add_le_cancel_right" |
| 14516 | 184 |
"LESS_EQ_MONO" > "Nat.Suc_le_mono" |
185 |
"LESS_EQ_LESS_TRANS" > "Nat.le_less_trans" |
|
186 |
"LESS_EQ_LESS_EQ_MONO" > "Nat.add_le_mono" |
|
187 |
"LESS_EQ_IMP_LESS_SUC" > "Nat.le_imp_less_Suc" |
|
| 17727 | 188 |
"LESS_EQ_EXISTS" > "NatArith.le_iff_add" |
| 14516 | 189 |
"LESS_EQ_CASES" > "Nat.nat_le_linear" |
190 |
"LESS_EQ_ANTISYM" > "HOL4Base.arithmetic.LESS_EQ_ANTISYM" |
|
| 17188 | 191 |
"LESS_EQ_ADD_SUB" > "NatArith.add_diff_assoc" |
| 14516 | 192 |
"LESS_EQ_ADD" > "Nat.le_add1" |
193 |
"LESS_EQ_0" > "Nat.le_0_eq" |
|
194 |
"LESS_EQUAL_ANTISYM" > "Nat.le_anti_sym" |
|
195 |
"LESS_EQUAL_ADD" > "HOL4Base.arithmetic.LESS_EQUAL_ADD" |
|
196 |
"LESS_EQ" > "Nat.le_simps_3" |
|
197 |
"LESS_DIV_EQ_ZERO" > "Divides.div_less" |
|
198 |
"LESS_CASES_IMP" > "HOL4Base.arithmetic.LESS_CASES_IMP" |
|
199 |
"LESS_CASES" > "HOL4Base.arithmetic.LESS_CASES" |
|
200 |
"LESS_ANTISYM" > "HOL4Base.arithmetic.LESS_ANTISYM" |
|
201 |
"LESS_ADD_SUC" > "HOL4Base.arithmetic.LESS_ADD_SUC" |
|
202 |
"LESS_ADD_NONZERO" > "HOL4Base.arithmetic.LESS_ADD_NONZERO" |
|
203 |
"LESS_ADD_1" > "HOL4Base.arithmetic.LESS_ADD_1" |
|
204 |
"LESS_ADD" > "HOL4Base.arithmetic.LESS_ADD" |
|
205 |
"LESS_0_CASES" > "HOL4Base.arithmetic.LESS_0_CASES" |
|
206 |
"LEFT_SUB_DISTRIB" > "Nat.nat_distrib_4" |
|
207 |
"LEFT_ADD_DISTRIB" > "Nat.nat_distrib_2" |
|
208 |
"LE" > "HOL4Base.arithmetic.LE" |
|
209 |
"INV_PRE_LESS_EQ" > "HOL4Base.arithmetic.INV_PRE_LESS_EQ" |
|
210 |
"INV_PRE_LESS" > "HOL4Base.arithmetic.INV_PRE_LESS" |
|
211 |
"INV_PRE_EQ" > "HOL4Base.arithmetic.INV_PRE_EQ" |
|
212 |
"GREATER_OR_EQ" > "HOL4Compat.GREATER_OR_EQ" |
|
213 |
"GREATER_EQ" > "HOL4Compat.real_ge" |
|
214 |
"GREATER_DEF" > "HOL4Compat.GREATER_DEF" |
|
215 |
"FUN_EQ_LEMMA" > "HOL4Base.arithmetic.FUN_EQ_LEMMA" |
|
216 |
"FUNPOW" > "HOL4Compat.FUNPOW" |
|
217 |
"FACT_LESS" > "HOL4Base.arithmetic.FACT_LESS" |
|
218 |
"FACT" > "HOL4Base.arithmetic.FACT" |
|
219 |
"EXP_INJECTIVE" > "Power.power_inject_exp" |
|
220 |
"EXP_EQ_1" > "HOL4Base.arithmetic.EXP_EQ_1" |
|
221 |
"EXP_EQ_0" > "HOL4Base.arithmetic.EXP_EQ_0" |
|
222 |
"EXP_ALWAYS_BIG_ENOUGH" > "HOL4Base.arithmetic.EXP_ALWAYS_BIG_ENOUGH" |
|
223 |
"EXP_ADD" > "Power.power_add" |
|
224 |
"EXP_1" > "HOL4Base.arithmetic.EXP_1" |
|
225 |
"EXP" > "HOL4Compat.EXP" |
|
226 |
"EXISTS_GREATEST" > "HOL4Base.arithmetic.EXISTS_GREATEST" |
|
227 |
"EVEN_OR_ODD" > "HOL4Base.arithmetic.EVEN_OR_ODD" |
|
228 |
"EVEN_ODD_EXISTS" > "HOL4Base.arithmetic.EVEN_ODD_EXISTS" |
|
229 |
"EVEN_ODD" > "HOL4Base.arithmetic.EVEN_ODD" |
|
230 |
"EVEN_MULT" > "HOL4Base.arithmetic.EVEN_MULT" |
|
231 |
"EVEN_EXISTS" > "HOL4Base.arithmetic.EVEN_EXISTS" |
|
232 |
"EVEN_DOUBLE" > "HOL4Base.arithmetic.EVEN_DOUBLE" |
|
233 |
"EVEN_AND_ODD" > "HOL4Base.arithmetic.EVEN_AND_ODD" |
|
234 |
"EVEN_ADD" > "HOL4Base.arithmetic.EVEN_ADD" |
|
235 |
"EVEN" > "HOL4Base.arithmetic.EVEN" |
|
236 |
"EQ_MULT_LCANCEL" > "NatBin.nat_mult_eq_cancel_disj" |
|
237 |
"EQ_MONO_ADD_EQ" > "Nat.nat_add_right_cancel" |
|
| 15647 | 238 |
"EQ_LESS_EQ" > "Orderings.order_eq_iff" |
| 14516 | 239 |
"EQ_ADD_RCANCEL" > "Nat.nat_add_right_cancel" |
240 |
"EQ_ADD_LCANCEL" > "Nat.nat_add_left_cancel" |
|
241 |
"DIV_UNIQUE" > "HOL4Base.arithmetic.DIV_UNIQUE" |
|
242 |
"DIV_P" > "HOL4Base.arithmetic.DIV_P" |
|
243 |
"DIV_ONE" > "Divides.div_1" |
|
244 |
"DIV_MULT" > "HOL4Base.arithmetic.DIV_MULT" |
|
245 |
"DIV_LESS_EQ" > "HOL4Base.arithmetic.DIV_LESS_EQ" |
|
246 |
"DIV_LESS" > "Divides.div_less_dividend" |
|
247 |
"DIV_DIV_DIV_MULT" > "HOL4Base.arithmetic.DIV_DIV_DIV_MULT" |
|
248 |
"DIVMOD_ID" > "HOL4Base.arithmetic.DIVMOD_ID" |
|
249 |
"DIVISION" > "HOL4Compat.DIVISION" |
|
250 |
"DA" > "HOL4Base.arithmetic.DA" |
|
251 |
"COMPLETE_INDUCTION" > "Nat.less_induct" |
|
252 |
"CANCEL_SUB" > "NatArith.eq_diff_iff" |
|
253 |
"ALT_ZERO" > "HOL4Compat.ALT_ZERO_def" |
|
| 17188 | 254 |
"ADD_SYM" > "Finite_Set.AC_add.f.AC_2" |
| 14516 | 255 |
"ADD_SUC" > "Nat.add_Suc_right" |
256 |
"ADD_SUB" > "Nat.diff_add_inverse2" |
|
257 |
"ADD_MONO_LESS_EQ" > "Nat.nat_add_left_cancel_le" |
|
258 |
"ADD_INV_0_EQ" > "HOL4Base.arithmetic.ADD_INV_0_EQ" |
|
259 |
"ADD_INV_0" > "Nat.add_eq_self_zero" |
|
260 |
"ADD_EQ_SUB" > "HOL4Base.arithmetic.ADD_EQ_SUB" |
|
261 |
"ADD_EQ_1" > "HOL4Base.arithmetic.ADD_EQ_1" |
|
262 |
"ADD_EQ_0" > "Nat.add_is_0" |
|
263 |
"ADD_DIV_ADD_DIV" > "HOL4Base.arithmetic.ADD_DIV_ADD_DIV" |
|
| 17188 | 264 |
"ADD_COMM" > "Finite_Set.AC_add.f.AC_2" |
| 14516 | 265 |
"ADD_CLAUSES" > "HOL4Base.arithmetic.ADD_CLAUSES" |
| 17188 | 266 |
"ADD_ASSOC" > "Finite_Set.AC_add.f.AC_1" |
267 |
"ADD_0" > "Finite_Set.AC_add.f_e.ident" |
|
| 14516 | 268 |
"ADD1" > "Presburger.Suc_plus1" |
269 |
"ADD" > "HOL4Compat.ADD" |
|
270 |
||
271 |
end |