diff -r b93cc55cb7ab -r df6b3bd14dcb ex/InSort.ML --- a/ex/InSort.ML Fri Dec 02 11:43:20 1994 +0100 +++ b/ex/InSort.ML Fri Dec 02 16:09:49 1994 +0100 @@ -20,27 +20,27 @@ qed "transfD"; goal InSort.thy "list_all(p,ins(f,x,xs)) = (list_all(p,xs) & p(x))"; -by(list_ind_tac "xs" 1); +by(list.induct_tac "xs" 1); by(asm_simp_tac insort_ss 1); by(asm_simp_tac (insort_ss setloop (split_tac [expand_if])) 1); by(fast_tac HOL_cs 1); val insort_ss = insort_ss addsimps [result()]; goal InSort.thy "(!x. p(x) --> q(x)) --> list_all(p,xs) --> list_all(q,xs)"; -by(list_ind_tac "xs" 1); +by(list.induct_tac "xs" 1); by(ALLGOALS(asm_simp_tac (insort_ss setloop (split_tac [expand_if])))); qed "list_all_imp"; val prems = goal InSort.thy "[| total(f); transf(f) |] ==> sorted(f,ins(f,x,xs)) = sorted(f,xs)"; -by(list_ind_tac "xs" 1); +by(list.induct_tac "xs" 1); by(ALLGOALS(asm_simp_tac (insort_ss setloop (split_tac [expand_if])))); by(cut_facts_tac prems 1); -by(cut_inst_tac [("p","f(xa)"),("q","f(x)")] list_all_imp 1); +by(cut_inst_tac [("p","f(a)"),("q","f(x)")] list_all_imp 1); by(fast_tac (HOL_cs addDs [totalD,transfD]) 1); val insort_ss = insort_ss addsimps [result()]; goal InSort.thy "!!f. [| total(f); transf(f) |] ==> sorted(f,insort(f,xs))"; -by(list_ind_tac "xs" 1); +by(list.induct_tac "xs" 1); by(ALLGOALS(asm_simp_tac insort_ss)); result();