author berghofe Thu, 19 Jul 2007 15:35:00 +0200 changeset 23847 32d76edc5e5c parent 23846 bfedd1a024fc child 23848 ca73e86c22bb
Refer to major premise of induction rule via "thm_style prem1".
--- a/doc-src/TutorialI/Inductive/Star.thy	Thu Jul 19 15:33:27 2007 +0200
+++ b/doc-src/TutorialI/Inductive/Star.thy	Thu Jul 19 15:35:00 2007 +0200
@@ -54,8 +54,8 @@
To prove transitivity, we need rule induction, i.e.\ theorem
@{thm[source]rtc.induct}:
@{thm[display]rtc.induct}
-It says that @{text"?P"} holds for an arbitrary pair @{text"(?xb,?xa) \<in>
-?r*"} if @{text"?P"} is preserved by all rules of the inductive definition,
+It says that @{text"?P"} holds for an arbitrary pair @{thm_style prem1 rtc.induct}
+if @{text"?P"} is preserved by all rules of the inductive definition,
i.e.\ if @{text"?P"} holds for the conclusion provided it holds for the
premises. In general, rule induction for an $n$-ary inductive relation $R$
expects a premise of the form $(x@1,\dots,x@n) \in R$.