| changeset 68456 | ba2a92af88b4 | 
| parent 68455 | b33803fcae2a | 
| child 68618 | 3db8520941a4 | 
--- 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