# HG changeset patch # User nipkow # Date 1529179764 -7200 # Node ID ba2a92af88b428458fe1ac766cc6360549a695ed # Parent b33803fcae2a4d4fc294903f1322b7bfe9386467 more simp diff -r b33803fcae2a -r ba2a92af88b4 src/HOL/Transitive_Closure.thy --- a/src/HOL/Transitive_Closure.thy Sat Jun 16 20:32:00 2018 +0200 +++ b/src/HOL/Transitive_Closure.thy Sat Jun 16 22:09:24 2018 +0200 @@ -659,7 +659,7 @@ apply (auto simp add: finite_Field) done -lemma finite_rtrancl_Image: assumes "finite R" "finite A" shows "finite (R\<^sup>* `` A)" +lemma finite_rtrancl_Image[simp]: assumes "finite R" "finite A" shows "finite (R\<^sup>* `` A)" proof (rule ccontr) assume "infinite (R\<^sup>* `` A)" with assms show False