src/HOL/Lazy_Sequence.thy
changeset 56846 9df717fef2bb
parent 56643 41d3596d8a64
child 58152 6fe60a9a5bad
--- a/src/HOL/Lazy_Sequence.thy	Sun May 04 16:17:53 2014 +0200
+++ b/src/HOL/Lazy_Sequence.thy	Sun May 04 18:14:58 2014 +0200
@@ -27,13 +27,10 @@
   "xq = yq \<longleftrightarrow> list_of_lazy_sequence xq = list_of_lazy_sequence yq"
   by (auto intro: lazy_sequence_eqI)
 
-lemma lazy_sequence_size_eq:
-  "lazy_sequence_size f xq = Suc (size_list f (list_of_lazy_sequence xq))"
-  by (cases xq) simp
-
 lemma size_lazy_sequence_eq [code]:
+  "size_lazy_sequence f xq = Suc (size_list f (list_of_lazy_sequence xq))"
   "size (xq :: 'a lazy_sequence) = 0"
-  by (cases xq) simp
+  by (cases xq, simp)+
 
 lemma case_lazy_sequence [simp]:
   "case_lazy_sequence f xq = f (list_of_lazy_sequence xq)"
@@ -75,11 +72,11 @@
   case_list g (\<lambda>x. curry h x \<circ> lazy_sequence_of_list) (list_of_lazy_sequence xq)"
   by (cases "list_of_lazy_sequence xq") (simp_all add: yield_def)
 
-lemma lazy_sequence_size_code [code]:
-  "lazy_sequence_size s xq = (case yield xq of
+lemma size_lazy_sequence_code [code]:
+  "size_lazy_sequence s xq = (case yield xq of
     None \<Rightarrow> 1
-  | Some (x, xq') \<Rightarrow> Suc (s x + lazy_sequence_size s xq'))"
-  by (cases "list_of_lazy_sequence xq") (simp_all add: lazy_sequence_size_eq)
+  | Some (x, xq') \<Rightarrow> Suc (s x + size_lazy_sequence s xq'))"
+  by (cases "list_of_lazy_sequence xq") (simp_all add: size_lazy_sequence_eq)
 
 lemma equal_lazy_sequence_code [code]:
   "HOL.equal xq yq = (case (yield xq, yield yq) of