changeset 70749 | 5d06b7bb9d22 |
parent 69605 | a96320074298 |
child 71393 | fce780f9c9c6 |
--- a/src/HOL/Transitive_Closure.thy Mon Sep 23 17:15:44 2019 +0200 +++ b/src/HOL/Transitive_Closure.thy Tue Sep 24 12:56:10 2019 +0100 @@ -1177,7 +1177,7 @@ lemma acyclicI: "\<forall>x. (x, x) \<notin> r\<^sup>+ \<Longrightarrow> acyclic r" by (simp add: acyclic_def) -lemma (in order) acyclicI_order: +lemma (in preorder) acyclicI_order: assumes *: "\<And>a b. (a, b) \<in> r \<Longrightarrow> f b < f a" shows "acyclic r" proof -