# HG changeset patch # User wenzelm # Date 1014998388 -3600 # Node ID 80dec7322a8c7c175de93e40e7d5ac74ca363c17 # Parent 7ac0a7e306db34635e390490323e858b7630f91e tuned; diff -r 7ac0a7e306db -r 80dec7322a8c src/HOL/Isar_examples/Puzzle.thy --- a/src/HOL/Isar_examples/Puzzle.thy Fri Mar 01 16:24:43 2002 +0100 +++ b/src/HOL/Isar_examples/Puzzle.thy Fri Mar 01 16:59:48 2002 +0100 @@ -24,8 +24,7 @@ show ge: "!!n. n <= f n" proof - fix k show "!!n. k == f n ==> n <= k" (is "PROP ?P k") - proof (induct k - rule: nat_less_induct [rule_format]) + proof (induct k rule: less_induct) fix k assume hyp: "!!m. m < k ==> PROP ?P m" fix n assume k_def: "k == f n" show "n <= k"