# HG changeset patch # User haftmann # Date 1288888057 -3600 # Node ID 1a73b5b90a3cd380b643707fdba1158471c961cc # Parent 84388bba911d20d30e22b13d2f4e644d7c43f8e2 added lemma length_alloc diff -r 84388bba911d -r 1a73b5b90a3c src/HOL/Imperative_HOL/Array.thy --- a/src/HOL/Imperative_HOL/Array.thy Thu Nov 04 13:42:36 2010 +0100 +++ b/src/HOL/Imperative_HOL/Array.thy Thu Nov 04 17:27:37 2010 +0100 @@ -134,9 +134,13 @@ by (auto simp add: update_def set_set_swap list_update_swap) lemma get_alloc: - "get (snd (alloc ls' h)) (fst (alloc ls h)) = ls'" + "get (snd (alloc xs h)) (fst (alloc ys h)) = xs" by (simp add: Let_def split_def alloc_def) +lemma length_alloc: + "length (snd (alloc (xs :: 'a::heap list) h)) (fst (alloc (ys :: 'a list) h)) = List.length xs" + by (simp add: Array.length_def get_alloc) + lemma set: "set (fst (alloc ls h)) new_ls (snd (alloc ls h))