diff -r f04b33ce250f -r a4dc62a46ee4 ex/LexProd.ML --- a/ex/LexProd.ML Tue Oct 24 14:59:17 1995 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,24 +0,0 @@ -(* Title: HOL/ex/lex-prod.ML - ID: $Id$ - Author: Tobias Nipkow, TU Munich - Copyright 1993 TU Munich - -For lex-prod.thy. -The lexicographic product of two wellfounded relations is again wellfounded. -*) - -val prems = goal Prod.thy "!a b. P() ==> !p.P(p)"; -by (cut_facts_tac prems 1); -by (rtac allI 1); -by (rtac (surjective_pairing RS ssubst) 1); -by (fast_tac HOL_cs 1); -qed "split_all_pair"; - -val [wfa,wfb] = goalw LexProd.thy [wf_def,LexProd.lex_prod_def] - "[| wf(ra); wf(rb) |] ==> wf(ra**rb)"; -by (EVERY1 [rtac allI,rtac impI, rtac split_all_pair]); -by (rtac (wfa RS spec RS mp) 1); -by (EVERY1 [rtac allI,rtac impI]); -by (rtac (wfb RS spec RS mp) 1); -by (fast_tac (set_cs addSEs [Pair_inject]) 1); -qed "wf_lex_prod";