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src/HOL/Transitive_Closure.thy
changeset 67613 ce654b0e6d69
parent 67399 eab6ce8368fa
child 67723 d11c5af083a5 
--- a/src/HOL/Transitive_Closure.thy	Tue Feb 13 14:24:50 2018 +0100
+++ b/src/HOL/Transitive_Closure.thy	Thu Feb 15 12:11:00 2018 +0100
@@ -243,7 +243,7 @@
 
 lemmas rtrancl_converseI = rtranclp_converseI [to_set]
 
-lemma rtrancl_converse: "(r^-1)\<^sup>* = (r\<^sup>*)^-1"
+lemma rtrancl_converse: "(r\<inverse>)\<^sup>* = (r\<^sup>*)\<inverse>"
   by (fast dest!: rtrancl_converseD intro!: rtrancl_converseI)
 
 lemma sym_rtrancl: "sym r \<Longrightarrow> sym (r\<^sup>*)"
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