--- a/src/HOL/Library/RBT_Mapping.thy Mon Mar 10 15:24:49 2014 +0100
+++ b/src/HOL/Library/RBT_Mapping.thy Mon Mar 10 17:14:57 2014 +0100
@@ -11,42 +11,46 @@
subsection {* Implementation of mappings *}
-lift_definition Mapping :: "('a\<Colon>linorder, 'b) rbt \<Rightarrow> ('a, 'b) mapping" is lookup .
+context includes rbt.lifting begin
+lift_definition Mapping :: "('a\<Colon>linorder, 'b) rbt \<Rightarrow> ('a, 'b) mapping" is RBT.lookup .
+end
code_datatype Mapping
+context includes rbt.lifting begin
+
lemma lookup_Mapping [simp, code]:
- "Mapping.lookup (Mapping t) = lookup t"
+ "Mapping.lookup (Mapping t) = RBT.lookup t"
by (transfer fixing: t) rule
-lemma empty_Mapping [code]: "Mapping.empty = Mapping empty"
+lemma empty_Mapping [code]: "Mapping.empty = Mapping RBT.empty"
proof -
note RBT.empty.transfer[transfer_rule del]
show ?thesis by transfer simp
qed
lemma is_empty_Mapping [code]:
- "Mapping.is_empty (Mapping t) \<longleftrightarrow> is_empty t"
+ "Mapping.is_empty (Mapping t) \<longleftrightarrow> RBT.is_empty t"
unfolding is_empty_def by (transfer fixing: t) simp
lemma insert_Mapping [code]:
- "Mapping.update k v (Mapping t) = Mapping (insert k v t)"
+ "Mapping.update k v (Mapping t) = Mapping (RBT.insert k v t)"
by (transfer fixing: t) simp
lemma delete_Mapping [code]:
- "Mapping.delete k (Mapping t) = Mapping (delete k t)"
+ "Mapping.delete k (Mapping t) = Mapping (RBT.delete k t)"
by (transfer fixing: t) simp
lemma map_entry_Mapping [code]:
- "Mapping.map_entry k f (Mapping t) = Mapping (map_entry k f t)"
- apply (transfer fixing: t) by (case_tac "lookup t k") auto
+ "Mapping.map_entry k f (Mapping t) = Mapping (RBT.map_entry k f t)"
+ apply (transfer fixing: t) by (case_tac "RBT.lookup t k") auto
lemma keys_Mapping [code]:
- "Mapping.keys (Mapping t) = set (keys t)"
+ "Mapping.keys (Mapping t) = set (RBT.keys t)"
by (transfer fixing: t) (simp add: lookup_keys)
lemma ordered_keys_Mapping [code]:
- "Mapping.ordered_keys (Mapping t) = keys t"
+ "Mapping.ordered_keys (Mapping t) = RBT.keys t"
unfolding ordered_keys_def
by (transfer fixing: t) (auto simp add: lookup_keys intro: sorted_distinct_set_unique)
@@ -55,7 +59,7 @@
unfolding size_def by transfer simp
lemma size_Mapping [code]:
- "Mapping.size (Mapping t) = length (keys t)"
+ "Mapping.size (Mapping t) = length (RBT.keys t)"
unfolding size_def
by (transfer fixing: t) (simp add: lookup_keys distinct_card)
@@ -63,25 +67,24 @@
notes RBT.bulkload.transfer[transfer_rule del]
begin
lemma tabulate_Mapping [code]:
- "Mapping.tabulate ks f = Mapping (bulkload (List.map (\<lambda>k. (k, f k)) ks))"
+ "Mapping.tabulate ks f = Mapping (RBT.bulkload (List.map (\<lambda>k. (k, f k)) ks))"
by transfer (simp add: map_of_map_restrict)
lemma bulkload_Mapping [code]:
- "Mapping.bulkload vs = Mapping (bulkload (List.map (\<lambda>n. (n, vs ! n)) [0..<length vs]))"
+ "Mapping.bulkload vs = Mapping (RBT.bulkload (List.map (\<lambda>n. (n, vs ! n)) [0..<length vs]))"
by transfer (simp add: map_of_map_restrict fun_eq_iff)
end
lemma equal_Mapping [code]:
- "HOL.equal (Mapping t1) (Mapping t2) \<longleftrightarrow> entries t1 = entries t2"
+ "HOL.equal (Mapping t1) (Mapping t2) \<longleftrightarrow> RBT.entries t1 = RBT.entries t2"
by (transfer fixing: t1 t2) (simp add: entries_lookup)
lemma [code nbe]:
"HOL.equal (x :: (_, _) mapping) x \<longleftrightarrow> True"
by (fact equal_refl)
+end
-hide_const (open) impl_of lookup empty insert delete
- entries keys bulkload map_entry map fold
(*>*)
text {*