diff -r 89f162de39cf -r 9b8547a9496a src/HOL/Lambda/ParRed.ML --- a/src/HOL/Lambda/ParRed.ML Fri Jul 24 13:03:20 1998 +0200 +++ b/src/HOL/Lambda/ParRed.ML Fri Jul 24 13:19:38 1998 +0200 @@ -26,7 +26,7 @@ Addsimps [par_beta_varL]; Goal "t => t"; -by (dB.induct_tac "t" 1); +by (induct_tac "t" 1); by (ALLGOALS Asm_simp_tac); qed"par_beta_refl"; Addsimps [par_beta_refl]; @@ -52,14 +52,14 @@ (*** => ***) Goal "!t' n. t => t' --> lift t n => lift t' n"; -by (dB.induct_tac "t" 1); +by (induct_tac "t" 1); by (ALLGOALS(fast_tac (claset() addss (simpset())))); qed_spec_mp "par_beta_lift"; Addsimps [par_beta_lift]; Goal "!s s' t' n. s => s' --> t => t' --> t[s/n] => t'[s'/n]"; -by (dB.induct_tac "t" 1); +by (induct_tac "t" 1); by (asm_simp_tac (addsplit(simpset())) 1); by (strip_tac 1); by (eresolve_tac par_beta_cases 1);