# HG changeset patch # User nipkow # Date 889284569 -3600 # Node ID 74a12e86b20bd9c3d70e60dd8f1179c737c4b991 # Parent 9259feeeb2c88d5562b7e18450dad27885dd19f4 Removed `addsplits [expand_if]' diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Arith.ML --- a/src/HOL/Arith.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Arith.ML Sat Mar 07 16:29:29 1998 +0100 @@ -433,12 +433,11 @@ qed "less_imp_diff_positive"; goal Arith.thy "Suc(m)-n = (if m (!n. P(Suc(n))--> P(n)) --> P(k-i)"; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Auth/Event.ML --- a/src/HOL/Auth/Event.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Auth/Event.ML Sat Mar 07 16:29:29 1998 +0100 @@ -46,22 +46,20 @@ qed "spies_subset_spies_Says"; goal thy "spies evs <= spies (Notes A X # evs)"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (Fast_tac 1); qed "spies_subset_spies_Notes"; (*Spy sees all traffic*) goal thy "Says A B X : set evs --> X : spies evs"; by (induct_tac "evs" 1); -by (ALLGOALS (asm_simp_tac - (simpset() addsplits [expand_event_case, expand_if]))); +by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_event_case]))); qed_spec_mp "Says_imp_spies"; (*Spy sees Notes of bad agents*) goal thy "Notes A X : set evs --> A: bad --> X : spies evs"; by (induct_tac "evs" 1); -by (ALLGOALS (asm_simp_tac - (simpset() addsplits [expand_event_case, expand_if]))); +by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_event_case]))); qed_spec_mp "Notes_imp_spies"; (*Use with addSEs to derive contradictions from old Says events containing @@ -80,7 +78,7 @@ by (induct_tac "evs" 1); by (ALLGOALS (asm_simp_tac (simpset() addsimps [parts_insert_spies] - addsplits [expand_event_case, expand_if]))); + addsplits [expand_event_case]))); by (ALLGOALS Blast_tac); qed "parts_spies_subset_used"; @@ -91,7 +89,7 @@ by (induct_tac "evs" 1); by (ALLGOALS (asm_simp_tac (simpset() addsimps [parts_insert_spies] - addsplits [expand_event_case, expand_if]))); + addsplits [expand_event_case]))); by (ALLGOALS Blast_tac); bind_thm ("initState_into_used", impOfSubs (result())); diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Auth/Message.ML --- a/src/HOL/Auth/Message.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Auth/Message.ML Sat Mar 07 16:29:29 1998 +0100 @@ -896,7 +896,7 @@ (REPEAT o CHANGED) (res_inst_tac [("x1","X")] (insert_commute RS ssubst) 1), (*...allowing further simplifications*) - simp_tac (simpset() addsplits [expand_if]) 1, + Simp_tac 1, REPEAT (FIRSTGOAL (resolve_tac [allI,impI,notI,conjI,iffI])), DEPTH_SOLVE (Fake_insert_simp_tac 1 diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Auth/NS_Public.ML --- a/src/HOL/Auth/NS_Public.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Auth/NS_Public.ML Sat Mar 07 16:29:29 1998 +0100 @@ -116,9 +116,9 @@ (*Tactic for proving secrecy theorems*) -fun analz_induct_tac i = +fun analz_induct_tac i = etac ns_public.induct i THEN - ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if])); + ALLGOALS Asm_simp_tac; (*Secrecy: Spy does not see the nonce sent in msg NS1 if A and B are secure*) diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Auth/NS_Public_Bad.ML --- a/src/HOL/Auth/NS_Public_Bad.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Auth/NS_Public_Bad.ML Sat Mar 07 16:29:29 1998 +0100 @@ -122,7 +122,7 @@ (*Tactic for proving secrecy theorems*) fun analz_induct_tac i = etac ns_public.induct i THEN - ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if])); + ALLGOALS Asm_simp_tac; (*Secrecy: Spy does not see the nonce sent in msg NS1 if A and B are secure*) diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Auth/Public.ML --- a/src/HOL/Auth/Public.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Auth/Public.ML Sat Mar 07 16:29:29 1998 +0100 @@ -76,7 +76,7 @@ by (induct_tac "evs" 1); by (ALLGOALS (asm_simp_tac (simpset() addsimps [imageI, spies_Cons] - addsplits [expand_event_case, expand_if]))); + addsplits [expand_event_case]))); qed_spec_mp "spies_pubK"; (*Spy sees private keys of bad agents!*) @@ -84,7 +84,7 @@ by (induct_tac "evs" 1); by (ALLGOALS (asm_simp_tac (simpset() addsimps [imageI, spies_Cons] - addsplits [expand_event_case, expand_if]))); + addsplits [expand_event_case]))); qed "Spy_spies_bad"; AddIffs [spies_pubK, spies_pubK RS analz.Inj]; @@ -132,7 +132,7 @@ by (res_inst_tac [("x","0")] exI 1); by (ALLGOALS (asm_simp_tac (simpset() addsimps [used_Cons] - addsplits [expand_event_case, expand_if]))); + addsplits [expand_event_case]))); by Safe_tac; by (ALLGOALS (rtac (msg_Nonce_supply RS exE))); by (ALLGOALS (blast_tac (claset() addSEs [add_leE]))); @@ -177,6 +177,5 @@ addsimps [image_insert RS sym, image_Un RS sym, rangeI, insert_Key_singleton, - insert_Key_image, Un_assoc RS sym] - addsplits [expand_if]; + insert_Key_image, Un_assoc RS sym]; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Auth/Shared.ML --- a/src/HOL/Auth/Shared.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Auth/Shared.ML Sat Mar 07 16:29:29 1998 +0100 @@ -51,7 +51,7 @@ by (induct_tac "evs" 1); by (ALLGOALS (asm_simp_tac (simpset() addsimps [imageI, spies_Cons] - addsplits [expand_event_case, expand_if]))); + addsplits [expand_event_case]))); qed "Spy_spies_bad"; AddSIs [Spy_spies_bad]; @@ -125,7 +125,7 @@ by (res_inst_tac [("x","0")] exI 1); by (ALLGOALS (asm_simp_tac (simpset() addsimps [used_Cons] - addsplits [expand_event_case, expand_if]))); + addsplits [expand_event_case]))); by Safe_tac; by (ALLGOALS (rtac (msg_Nonce_supply RS exE))); by (ALLGOALS (blast_tac (claset() addSEs [add_leE]))); @@ -246,8 +246,7 @@ analz_insert_eq, impOfSubs (Un_upper2 RS analz_mono), insert_Key_singleton, subset_Compl_range, Key_not_used, insert_Key_image, Un_assoc RS sym] - @disj_comms) - addsplits [expand_if]; + @disj_comms); (*Lemma for the trivial direction of the if-and-only-if*) goal thy diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Auth/TLS.ML --- a/src/HOL/Auth/TLS.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Auth/TLS.ML Sat Mar 07 16:29:29 1998 +0100 @@ -145,7 +145,7 @@ REPEAT (FIRSTGOAL analz_mono_contra_tac) THEN fast_tac (claset() addss (simpset())) i THEN - ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if])); + ALLGOALS Asm_simp_tac; (** Theorems of the form X ~: parts (spies evs) imply that NOBODY @@ -193,14 +193,12 @@ ClientKeyExch_tac (i+6) THEN (*ClientKeyExch*) ALLGOALS (asm_simp_tac (simpset() addcongs [if_weak_cong] - addsimps (expand_ifs@pushes) - addsplits [expand_if])) THEN + addsimps (expand_ifs@pushes))) THEN (*Remove instances of pubK B: the Spy already knows all public keys. Combining the two simplifier calls makes them run extremely slowly.*) ALLGOALS (asm_simp_tac (simpset() addcongs [if_weak_cong] - addsimps [insert_absorb] - addsplits [expand_if])); + addsimps [insert_absorb])); (*** Properties of items found in Notes ***) diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Auth/Yahalom2.ML --- a/src/HOL/Auth/Yahalom2.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Auth/Yahalom2.ML Sat Mar 07 16:29:29 1998 +0100 @@ -216,8 +216,7 @@ by (ALLGOALS (asm_simp_tac (simpset() addsimps expand_ifs - addsimps [analz_insert_eq, analz_insert_freshK] - addsplits [expand_if]))); + addsimps [analz_insert_eq, analz_insert_freshK]))); (*Oops*) by (blast_tac (claset() addDs [unique_session_keys]) 3); (*YM3*) diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Divides.ML --- a/src/HOL/Divides.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Divides.ML Sat Mar 07 16:29:29 1998 +0100 @@ -229,7 +229,7 @@ goal thy "!!k b. b<2 ==> k mod 2 = b | k mod 2 = (if b=1 then 0 else 1)"; by (subgoal_tac "k mod 2 < 2" 1); by (asm_simp_tac (simpset() addsimps [mod_less_divisor]) 2); -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); +by (Asm_simp_tac 1); by Safe_tac; qed "mod2_cases"; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Finite.ML --- a/src/HOL/Finite.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Finite.ML Sat Mar 07 16:29:29 1998 +0100 @@ -257,7 +257,7 @@ by (SELECT_GOAL Safe_tac 1); by (res_inst_tac [("x","k")] exI 1); by (Asm_simp_tac 1); - by (simp_tac (simpset() addsplits [expand_if]) 1); + by (Simp_tac 1); by (Blast_tac 1); by (dtac sym 1); by (rotate_tac ~1 1); @@ -271,7 +271,7 @@ by (SELECT_GOAL Safe_tac 1); by (res_inst_tac [("x","k")] exI 1); by (Asm_simp_tac 1); - by (simp_tac (simpset() addsplits [expand_if]) 1); + by (Simp_tac 1); by (Blast_tac 1); by (res_inst_tac [("x","%j. if f j = f i then f m else f j")] exI 1); by (SELECT_GOAL Safe_tac 1); @@ -285,7 +285,7 @@ by (SELECT_GOAL Safe_tac 1); by (res_inst_tac [("x","k")] exI 1); by (Asm_simp_tac 1); -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (Blast_tac 1); val lemma = result(); @@ -341,9 +341,7 @@ goal Finite.thy "!!A B. [| finite A; finite B |]\ \ ==> A Int B = {} --> card(A Un B) = card A + card B"; by (etac finite_induct 1); -by (ALLGOALS - (asm_simp_tac (simpset() addsimps [Int_insert_left] - addsplits [expand_if]))); +by (ALLGOALS (asm_simp_tac (simpset() addsimps [Int_insert_left]))); qed_spec_mp "card_Un_disjoint"; goal Finite.thy "!!A. [| finite A; B<=A |] ==> card A - card B = card (A - B)"; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/IMP/Hoare.ML --- a/src/HOL/IMP/Hoare.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/IMP/Hoare.ML Sat Mar 07 16:29:29 1998 +0100 @@ -61,13 +61,13 @@ (*Not suitable for rewriting: LOOPS!*) goal Hoare.thy "wp (WHILE b DO c) Q s = \ \ (if b s then wp (c;WHILE b DO c) Q s else Q s)"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); qed "wp_While_if"; goal thy "wp (WHILE b DO c) Q s = \ \ (s : gfp(%S.{s. if b s then wp c (%s. s:S) s else Q s}))"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (rtac iffI 1); by (rtac weak_coinduct 1); by (etac CollectI 1); diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Induct/Com.ML --- a/src/HOL/Induct/Com.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Induct/Com.ML Sat Mar 07 16:29:29 1998 +0100 @@ -54,7 +54,7 @@ goalw thy [assign_def] "s[s x/x] = s"; by (rtac ext 1); -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); qed "assign_triv"; Addsimps [assign_same, assign_different, assign_triv]; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Induct/LFilter.ML --- a/src/HOL/Induct/LFilter.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Induct/LFilter.ML Sat Mar 07 16:29:29 1998 +0100 @@ -98,7 +98,7 @@ Addsimps [find_LCons_seek]; goal thy "find p (LCons x l) = (if p x then LCons x l else find p l)"; -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); +by (Asm_simp_tac 1); qed "find_LCons"; @@ -148,8 +148,7 @@ goal thy "lfilter p (LCons x l) = \ \ (if p x then LCons x (lfilter p l) else lfilter p l)"; -by (asm_simp_tac (simpset() addsimps [lfilter_LCons_found, lfilter_LCons_seek] - addsplits [expand_if]) 1); +by (asm_simp_tac (simpset() addsimps [lfilter_LCons_found, lfilter_LCons_seek]) 1); qed "lfilter_LCons"; AddSIs [llistD_Fun_LNil_I, llistD_Fun_LCons_I]; @@ -193,7 +192,7 @@ goal thy "lfilter p (lfilter p l) = lfilter p l"; by (res_inst_tac [("l","l")] llist_fun_equalityI 1); -by (ALLGOALS (simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Simp_tac); by Safe_tac; (*Cases: p x is true or false*) by (rtac (lfilter_cases RS disjE) 1); @@ -250,7 +249,7 @@ \ ==> l'' = LCons y l' --> \ \ (lfilter q l, LCons y (lfilter q l')) : findRel p"; by (etac findRel.induct 1); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); by (ALLGOALS (blast_tac (claset() addIs findRel.intrs))); qed_spec_mp "findRel_conj_lfilter"; @@ -291,7 +290,7 @@ goal thy "lfilter p (lfilter q l) = lfilter (%x. p x & q x) l"; by (res_inst_tac [("l","l")] llist_fun_equalityI 1); -by (ALLGOALS (simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Simp_tac); by (blast_tac (claset() addIs [lemma, impOfSubs llistD_Fun_mono]) 1); qed "lfilter_conj"; @@ -329,7 +328,7 @@ goal thy "lfilter p (lmap f l) = lmap f (lfilter (p o f) l)"; by (res_inst_tac [("l","l")] llist_fun_equalityI 1); -by (ALLGOALS (simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Simp_tac); by Safe_tac; by (case_tac "lmap f l : Domain (findRel p)" 1); by (subgoal_tac "l ~: Domain (findRel(%x. p (f x)))" 2); diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Induct/Mutil.ML --- a/src/HOL/Induct/Mutil.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Induct/Mutil.ML Sat Mar 07 16:29:29 1998 +0100 @@ -92,7 +92,7 @@ goalw thy [evnodd_def] "evnodd (insert (i,j) C) b = \ \ (if (i+j) mod 2 = b then insert (i,j) (evnodd C b) else evnodd C b)"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (Blast_tac 1); qed "evnodd_insert"; @@ -107,8 +107,7 @@ by (res_inst_tac [("k1", "i+j")] (mod2_cases RS disjE) 1); by (REPEAT_FIRST assume_tac); (*Four similar cases: case (i+j) mod 2 = b, 2#-b, ...*) -by (REPEAT (asm_full_simp_tac (simpset() addsimps [less_Suc_eq, mod_Suc] - addsplits [expand_if]) 1 +by (REPEAT (asm_full_simp_tac (simpset() addsimps [less_Suc_eq, mod_Suc]) 1 THEN Blast_tac 1)); qed "domino_singleton"; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Induct/Perm.ML --- a/src/HOL/Induct/Perm.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Induct/Perm.ML Sat Mar 07 16:29:29 1998 +0100 @@ -41,7 +41,7 @@ goal Perm.thy "!!xs. [| xs <~~> ys |] ==> x mem xs --> x mem ys"; by (etac perm.induct 1); by (Fast_tac 4); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); val perm_mem_lemma = result(); bind_thm ("perm_mem", perm_mem_lemma RS mp); diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Induct/PropLog.ML --- a/src/HOL/Induct/PropLog.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Induct/PropLog.ML Sat Mar 07 16:29:29 1998 +0100 @@ -141,9 +141,7 @@ we also have hyps(p,t)-{#v} <= hyps(p, t-{v}) *) goal PropLog.thy "hyps p (t-{v}) <= insert (#v->false) ((hyps p t)-{#v})"; by (PropLog.pl.induct_tac "p" 1); -by (Simp_tac 1); -by (simp_tac (simpset() addsplits [expand_if]) 1); -by (Simp_tac 1); +by (ALLGOALS Simp_tac); by (Fast_tac 1); qed "hyps_Diff"; @@ -151,9 +149,7 @@ we also have hyps(p,t)-{#v->false} <= hyps(p, insert(v,t)) *) goal PropLog.thy "hyps p (insert v t) <= insert (#v) (hyps p t-{#v->false})"; by (PropLog.pl.induct_tac "p" 1); -by (Simp_tac 1); -by (simp_tac (simpset() addsplits [expand_if]) 1); -by (Simp_tac 1); +by (ALLGOALS Simp_tac); by (Fast_tac 1); qed "hyps_insert"; @@ -174,7 +170,7 @@ goal PropLog.thy "hyps p t <= (UN v. {#v, #v->false})"; by (PropLog.pl.induct_tac "p" 1); -by (ALLGOALS (simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Simp_tac); by (Blast_tac 1); qed "hyps_subset"; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Induct/SList.ML --- a/src/HOL/Induct/SList.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Induct/SList.ML Sat Mar 07 16:29:29 1998 +0100 @@ -317,12 +317,12 @@ goal SList.thy "x mem (xs@ys) = (x mem xs | x mem ys)"; by (list_ind_tac "xs" 1); -by (ALLGOALS(asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed "mem_append2"; goal SList.thy "x mem [x:xs. P(x)] = (x mem xs & P(x))"; by (list_ind_tac "xs" 1); -by (ALLGOALS(asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed "mem_filter2"; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Integ/Bin.ML --- a/src/HOL/Integ/Bin.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Integ/Bin.ML Sat Mar 07 16:29:29 1998 +0100 @@ -100,8 +100,6 @@ (**** The carry/borrow functions, bin_succ and bin_pred ****) -val if_ss = simpset() addsplits [expand_if]; - (**** integ_of_bin ****) @@ -109,26 +107,26 @@ qed_goal "integ_of_bin_norm_Bcons" Bin.thy "integ_of_bin(norm_Bcons w b) = integ_of_bin(Bcons w b)" (fn _ =>[(bin.induct_tac "w" 1), - (ALLGOALS(simp_tac if_ss)) ]); + (ALLGOALS Simp_tac) ]); qed_goal "integ_of_bin_succ" Bin.thy "integ_of_bin(bin_succ w) = $#1 + integ_of_bin w" (fn _ =>[(rtac bin.induct 1), (ALLGOALS(asm_simp_tac - (if_ss addsimps (integ_of_bin_norm_Bcons::zadd_ac)))) ]); + (simpset() addsimps (integ_of_bin_norm_Bcons::zadd_ac)))) ]); qed_goal "integ_of_bin_pred" Bin.thy "integ_of_bin(bin_pred w) = $~ ($#1) + integ_of_bin w" (fn _ =>[(rtac bin.induct 1), (ALLGOALS(asm_simp_tac - (if_ss addsimps (integ_of_bin_norm_Bcons::zadd_ac)))) ]); + (simpset() addsimps (integ_of_bin_norm_Bcons::zadd_ac)))) ]); qed_goal "integ_of_bin_minus" Bin.thy "integ_of_bin(bin_minus w) = $~ (integ_of_bin w)" (fn _ =>[(rtac bin.induct 1), (Simp_tac 1), (Simp_tac 1), - (asm_simp_tac (if_ss + (asm_simp_tac (simpset() delsimps [pred_Plus,pred_Minus,pred_Bcons] addsimps [integ_of_bin_succ,integ_of_bin_pred, zadd_assoc]) 1)]); @@ -143,16 +141,16 @@ goal Bin.thy "! w. integ_of_bin(bin_add v w) = integ_of_bin v + integ_of_bin w"; by (bin.induct_tac "v" 1); -by (simp_tac (if_ss addsimps bin_add_simps) 1); -by (simp_tac (if_ss addsimps bin_add_simps) 1); +by (simp_tac (simpset() addsimps bin_add_simps) 1); +by (simp_tac (simpset() addsimps bin_add_simps) 1); by (rtac allI 1); by (bin.induct_tac "w" 1); -by (asm_simp_tac (if_ss addsimps (bin_add_simps)) 1); -by (asm_simp_tac (if_ss addsimps (bin_add_simps @ zadd_ac)) 1); +by (asm_simp_tac (simpset() addsimps (bin_add_simps)) 1); +by (asm_simp_tac (simpset() addsimps (bin_add_simps @ zadd_ac)) 1); by (cut_inst_tac [("P","bool")] True_or_False 1); by (etac disjE 1); -by (asm_simp_tac (if_ss addsimps (bin_add_simps @ zadd_ac)) 1); -by (asm_simp_tac (if_ss addsimps (bin_add_simps @ zadd_ac)) 1); +by (asm_simp_tac (simpset() addsimps (bin_add_simps @ zadd_ac)) 1); +by (asm_simp_tac (simpset() addsimps (bin_add_simps @ zadd_ac)) 1); val integ_of_bin_add_lemma = result(); goal Bin.thy "integ_of_bin(bin_add v w) = integ_of_bin v + integ_of_bin w"; @@ -165,12 +163,12 @@ goal Bin.thy "integ_of_bin(bin_mult v w) = integ_of_bin v * integ_of_bin w"; by (bin.induct_tac "v" 1); -by (simp_tac (if_ss addsimps bin_mult_simps) 1); -by (simp_tac (if_ss addsimps bin_mult_simps) 1); +by (simp_tac (simpset() addsimps bin_mult_simps) 1); +by (simp_tac (simpset() addsimps bin_mult_simps) 1); by (cut_inst_tac [("P","bool")] True_or_False 1); by (etac disjE 1); -by (asm_simp_tac (if_ss addsimps (bin_mult_simps @ [zadd_zmult_distrib])) 2); -by (asm_simp_tac (if_ss addsimps (bin_mult_simps @ [zadd_zmult_distrib] @ +by (asm_simp_tac (simpset() addsimps (bin_mult_simps @ [zadd_zmult_distrib])) 2); +by (asm_simp_tac (simpset() addsimps (bin_mult_simps @ [zadd_zmult_distrib] @ zadd_ac)) 1); qed "integ_of_bin_mult"; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Lambda/Eta.ML --- a/src/HOL/Lambda/Eta.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Lambda/Eta.ML Sat Mar 07 16:29:29 1998 +0100 @@ -50,7 +50,7 @@ by (Blast_tac 2); by (asm_full_simp_tac (addsplit (simpset())) 2); by (simp_tac (simpset() addsimps [diff_Suc,subst_Var] - addsplits [expand_if,expand_nat_case]) 1); + addsplits [expand_nat_case]) 1); by (safe_tac (HOL_cs addSEs [nat_neqE])); by (ALLGOALS trans_tac); qed "free_subst"; @@ -168,7 +168,7 @@ goal Eta.thy "!i. (~free s i) = (? t. s = lift t i)"; by (dB.induct_tac "s" 1); - by (simp_tac (simpset() addsplits [expand_if]) 1); + by (Simp_tac 1); by (SELECT_GOAL(safe_tac HOL_cs)1); by (etac nat_neqE 1); by (res_inst_tac [("x","Var nat")] exI 1); @@ -179,7 +179,7 @@ by (assume_tac 2); by (etac thin_rl 1); by (res_inst_tac [("dB","t")] dB_case_distinction 1); - by (simp_tac (simpset() addsplits [expand_if]) 1); + by (Simp_tac 1); by (blast_tac (HOL_cs addDs [less_not_refl2]) 1); by (Simp_tac 1); by (Simp_tac 1); @@ -195,7 +195,7 @@ by (etac exE 1); by (etac rev_mp 1); by (res_inst_tac [("dB","t")] dB_case_distinction 1); - by (simp_tac (simpset() addsplits [expand_if]) 1); + by (Simp_tac 1); by (Simp_tac 1); by (Blast_tac 1); by (Simp_tac 1); @@ -209,7 +209,7 @@ by (etac exE 1); by (etac rev_mp 1); by (res_inst_tac [("dB","t")] dB_case_distinction 1); - by (simp_tac (simpset() addsplits [expand_if]) 1); + by (Simp_tac 1); by (Simp_tac 1); by (Simp_tac 1); by (Blast_tac 1); diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Lambda/Lambda.ML --- a/src/HOL/Lambda/Lambda.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Lambda/Lambda.ML Sat Mar 07 16:29:29 1998 +0100 @@ -46,6 +46,7 @@ (*** subst and lift ***) fun addsplit ss = ss addsimps [subst_Var] + delsplits [expand_if] setloop (split_inside_tac [expand_if]); goal Lambda.thy "(Var k)[u/k] = u"; @@ -66,8 +67,7 @@ goal Lambda.thy "!i k. i < Suc k --> lift (lift t i) (Suc k) = lift (lift t k) i"; by (dB.induct_tac "t" 1); -by (ALLGOALS(asm_simp_tac (simpset() addsplits [expand_if] - addSolver cut_trans_tac))); +by (ALLGOALS(asm_simp_tac (simpset() addSolver cut_trans_tac))); by (safe_tac HOL_cs); by (ALLGOALS trans_tac); qed_spec_mp "lift_lift"; @@ -76,7 +76,7 @@ \ lift (t[s/j]) i = (lift t (Suc i)) [lift s i / j]"; by (dB.induct_tac "t" 1); by (ALLGOALS(asm_simp_tac (simpset() addsimps [diff_Suc,subst_Var,lift_lift] - addsplits [expand_if,expand_nat_case] + addsplits [expand_nat_case] addSolver cut_trans_tac))); by (safe_tac HOL_cs); by (ALLGOALS trans_tac); @@ -88,7 +88,6 @@ \ lift (t[s/j]) i = (lift t i) [lift s i / Suc j]"; by (dB.induct_tac "t" 1); by (ALLGOALS(asm_simp_tac (simpset() addsimps [subst_Var,lift_lift] - addsplits [expand_if] addSolver cut_trans_tac))); by (safe_tac (HOL_cs addSEs [nat_neqE])); by (ALLGOALS trans_tac); @@ -96,7 +95,7 @@ goal Lambda.thy "!k s. (lift t k)[s/k] = t"; by (dB.induct_tac "t" 1); -by (ALLGOALS (asm_full_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_full_simp_tac); qed "subst_lift"; Addsimps [subst_lift]; @@ -106,7 +105,9 @@ by (dB.induct_tac "t" 1); by (ALLGOALS(asm_simp_tac (simpset() addsimps [diff_Suc,subst_Var,lift_lift RS sym,lift_subst_lt] - addsplits [expand_if,expand_nat_case] + delsplits [expand_if] + addsplits [expand_nat_case] + addloop ("if",split_inside_tac[expand_if]) addSolver cut_trans_tac))); by (safe_tac (HOL_cs addSEs [nat_neqE])); by (ALLGOALS trans_tac); diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Lex/AutoChopper.ML --- a/src/HOL/Lex/AutoChopper.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Lex/AutoChopper.ML Sat Mar 07 16:29:29 1998 +0100 @@ -18,7 +18,7 @@ goal AutoChopper.thy "!st us p y ys. acc xs st (ys@[y]) us p A ~= ([],zs)"; by (list.induct_tac "xs" 1); by (Simp_tac 1); -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); +by (Asm_simp_tac 1); val accept_not_Nil = result() repeat_RS spec; Addsimps [accept_not_Nil]; @@ -27,7 +27,7 @@ \ zs = ys & (!ys. ys ~= [] & ys<=xs --> ~fin A (nexts A st ys))"; by (list.induct_tac "xs" 1); by (simp_tac (simpset() addcongs [conj_cong]) 1); -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (strip_tac 1); by (rtac conjI 1); by (Fast_tac 1); @@ -53,17 +53,17 @@ \ acc xs st erk r (l,rst) A = (ys#yss, zs) --> \ \ ys@concat(yss)@zs = (if acc_prefix A st xs then r@xs else erk@concat(l)@rst)"; by (list.induct_tac "xs" 1); - by (simp_tac (simpset() addcongs [conj_cong] addsplits [expand_if]) 1); -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); + by (simp_tac (simpset() addcongs [conj_cong]) 1); +by (Asm_simp_tac 1); by (res_inst_tac [("p","acc list (start A) [] [] ([],list) A")] PairE 1); by (rename_tac "vss lrst" 1); -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); +by (Asm_simp_tac 1); by (res_inst_tac[("xs","vss")] list_eq_cases 1); by (hyp_subst_tac 1); by (Simp_tac 1); by (fast_tac (claset() addSDs [no_acc]) 1); by (hyp_subst_tac 1); -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); +by (Asm_simp_tac 1); val step2_a = (result() repeat_RS spec) RS mp; @@ -73,11 +73,11 @@ \ (if acc_prefix A st xs \ \ then ys ~= [] \ \ else ys ~= [] | (erk=[] & (l,rest) = (ys#yss,zs)))"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (list.induct_tac "xs" 1); - by (simp_tac (simpset() addcongs [conj_cong] addsplits [expand_if]) 1); + by (simp_tac (simpset() addcongs [conj_cong]) 1); by (Fast_tac 1); -by (asm_simp_tac (simpset() addcongs [conj_cong] addsplits [expand_if]) 1); +by (asm_simp_tac (simpset() addcongs [conj_cong]) 1); by (res_inst_tac [("p","acc list (start A) [] [] ([],list) A")] PairE 1); by (rename_tac "vss lrst" 1); by (Asm_simp_tac 1); @@ -96,11 +96,11 @@ \ (if acc_prefix A st xs \ \ then ? g. ys=r@g & fin A (nexts A st g) \ \ else (erk~=[] & erk=ys) | (erk=[] & (l,rest) = (ys#yss,zs)))"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (list.induct_tac "xs" 1); - by (simp_tac (simpset() addcongs [conj_cong] addsplits [expand_if]) 1); + by (simp_tac (simpset() addcongs [conj_cong]) 1); by (Fast_tac 1); -by (asm_simp_tac (simpset() addcongs [conj_cong] addsplits [expand_if]) 1); +by (asm_simp_tac (simpset() addcongs [conj_cong]) 1); by (strip_tac 1); by (rtac conjI 1); by (res_inst_tac [("p","acc list (start A) [] [] ([],list) A")] PairE 1); @@ -135,11 +135,11 @@ \ (if acc_prefix A st xs \ \ then acc(concat(yss)@zs)(start A) [] [] ([],concat(yss)@zs) A = (yss,zs) \ \ else (erk~=[] & (l,rest)=(yss,zs)) | (erk=[] & (l, rest)=(ys#yss,zs)))"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (list.induct_tac "xs" 1); - by (simp_tac (simpset() addcongs [conj_cong] addsplits [expand_if]) 1); + by (simp_tac (simpset() addcongs [conj_cong]) 1); by (Fast_tac 1); -by (asm_simp_tac (simpset() addcongs [conj_cong] addsplits [expand_if]) 1); +by (asm_simp_tac (simpset() addcongs [conj_cong]) 1); by (res_inst_tac [("p","acc list (start A) [] [] ([],list) A")] PairE 1); by (rename_tac "vss lrst" 1); by (Asm_simp_tac 1); @@ -164,7 +164,7 @@ by (Simp_tac 1); by (rtac trans 1); by (etac step2_a 1); -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); val step2_d = (result() repeat_RS spec) RS mp; Delsimps [split_paired_All]; @@ -174,11 +174,11 @@ \ (if acc_prefix A st xs \ \ then ? g. ys=r@g & (!as. as<=xs & g<=as & g~=as --> ~fin A (nexts A st as))\ \ else (erk~=[] & ys=erk) | (erk=[] & (ys#yss,zs)=p))"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (list.induct_tac "xs" 1); - by (simp_tac (simpset() addcongs [conj_cong] addsplits [expand_if]) 1); + by (simp_tac (simpset() addcongs [conj_cong]) 1); by (Fast_tac 1); -by (asm_simp_tac (simpset() addcongs [conj_cong] addsplits [expand_if]) 1); +by (asm_simp_tac (simpset() addcongs [conj_cong]) 1); by (strip_tac 1); by (case_tac "acc_prefix A (next A st a) list" 1); by (rtac conjI 1); @@ -225,18 +225,18 @@ by (REPEAT(ares_tac [no_acc,allI,impI,conjI] 1)); by (rtac mp 1); by (etac step2_b 2); - by (simp_tac (simpset() addsplits [expand_if]) 1); + by (Simp_tac 1); by (rtac conjI 1); by (rtac mp 1); by (etac step2_c 2); - by (simp_tac (simpset() addsplits [expand_if]) 1); + by (Simp_tac 1); by (rtac conjI 1); - by (asm_simp_tac (simpset() addsimps [step2_a] addsplits [expand_if]) 1); + by (asm_simp_tac (simpset() addsimps [step2_a]) 1); by (rtac conjI 1); by (rtac mp 1); by (etac step2_d 2); - by (simp_tac (simpset() addsplits [expand_if]) 1); + by (Simp_tac 1); by (rtac mp 1); by (etac step2_e 2); - by (simp_tac (simpset() addsplits [expand_if]) 1); + by (Simp_tac 1); qed"auto_chopper_is_auto_chopper"; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Lex/Regset_of_auto.ML --- a/src/HOL/Lex/Regset_of_auto.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Lex/Regset_of_auto.ML Sat Mar 07 16:29:29 1998 +0100 @@ -23,15 +23,14 @@ goal thy "(butlast xs = []) = (case xs of [] => True | y#ys => ys=[])"; by (exhaust_tac "xs" 1); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed "butlast_empty"; AddIffs [butlast_empty]; goal thy "x:set(butlast xs) --> xs:set xss --> x:set(butlast(concat xss))"; by (induct_tac "xss" 1); by (Simp_tac 1); -by (asm_simp_tac (simpset() addsimps [butlast_append] delsimps ball_simps - addsplits [expand_if]) 1); +by (asm_simp_tac (simpset() addsimps [butlast_append] delsimps ball_simps) 1); by (rtac conjI 1); by (Clarify_tac 1); by (rtac conjI 1); @@ -91,7 +90,7 @@ by (res_inst_tac[("x","a#pref")]exI 1); by (res_inst_tac[("x","mids")]exI 1); by (res_inst_tac[("x","suf")]exI 1); -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); +by (Asm_simp_tac 1); qed_spec_mp "decompose"; goal thy "!i. length(trace A i xs) = length xs"; @@ -137,7 +136,7 @@ \ (if xs=[] then {} else insert(deltas A xs i)(set(butlast(trace A i xs))))"; by (induct_tac "xs" 1); by (Simp_tac 1); -by (asm_simp_tac (simpset() addsimps [insert_commute] addsplits [expand_if]) 1); +by (asm_simp_tac (simpset() addsimps [insert_commute]) 1); qed "set_trace_conv"; goal thy @@ -157,8 +156,7 @@ "!i j xs. xs : regset_of A i j k = \ \ ((!n:set(butlast(trace A i xs)). n < k) & deltas A xs i = j)"; by (induct_tac "k" 1); - by (simp_tac (simpset() addcongs [conj_cong] - addsplits [expand_if,split_list_case]) 1); + by (simp_tac (simpset() addcongs [conj_cong] addsplits [split_list_case]) 1); by (strip_tac 1); by (asm_simp_tac (simpset() addsimps [conc_def]) 1); by (rtac iffI 1); @@ -168,12 +166,10 @@ by (Asm_full_simp_tac 1); by (subgoal_tac "(!n:set(butlast(trace A k xsb)). n < Suc k) & deltas A xsb k = k" 1); - by (asm_simp_tac (simpset() addsplits [expand_if] - addsimps [set_trace_conv,butlast_append,ball_Un]) 1); + by (asm_simp_tac (simpset() addsimps [set_trace_conv,butlast_append,ball_Un]) 1); by (etac star.induct 1); by (Simp_tac 1); - by (asm_full_simp_tac (simpset() addsplits [expand_if] - addsimps [set_trace_conv,butlast_append,ball_Un]) 1); + by (asm_full_simp_tac (simpset() addsimps [set_trace_conv,butlast_append,ball_Un]) 1); by (case_tac "k : set(butlast(trace A i xs))" 1); by (rtac disjI1 2); by (blast_tac (claset() addIs [lemma]) 2); diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/List.ML --- a/src/HOL/List.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/List.ML Sat Mar 07 16:29:29 1998 +0100 @@ -311,13 +311,13 @@ goal thy "x mem (xs@ys) = (x mem xs | x mem ys)"; by (induct_tac "xs" 1); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed "mem_append"; Addsimps[mem_append]; goal thy "x mem [x:xs. P(x)] = (x mem xs & P(x))"; by (induct_tac "xs" 1); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed "mem_filter"; Addsimps[mem_filter]; @@ -333,7 +333,7 @@ goal thy "(x mem xs) = (x: set xs)"; by (induct_tac "xs" 1); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); by (Blast_tac 1); qed "set_mem_eq"; @@ -368,7 +368,7 @@ goal thy "(x : set(filter P xs)) = (x : set xs & P x)"; by (induct_tac "xs" 1); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); by(Blast_tac 1); qed "in_set_filter"; Addsimps [in_set_filter]; @@ -392,7 +392,7 @@ goal thy "list_all P xs = (!x. x mem xs --> P(x))"; by (induct_tac "xs" 1); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); by (Blast_tac 1); qed "list_all_mem_conv"; @@ -403,7 +403,7 @@ goal thy "filter P (xs@ys) = filter P xs @ filter P ys"; by (induct_tac "xs" 1); - by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed "filter_append"; Addsimps [filter_append]; @@ -421,7 +421,7 @@ goal thy "length (filter P xs) <= length xs"; by (induct_tac "xs" 1); - by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed "length_filter"; @@ -512,7 +512,7 @@ (* case 0 *) by (Asm_full_simp_tac 1); (* case Suc x *) -by (asm_full_simp_tac (simpset() addsplits [expand_if]) 1); +by (Asm_full_simp_tac 1); qed_spec_mp "nth_mem"; Addsimps [nth_mem]; @@ -565,42 +565,40 @@ goal thy "last(xs@[x]) = x"; by (induct_tac "xs" 1); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed "last_snoc"; Addsimps [last_snoc]; goal thy "butlast(xs@[x]) = xs"; by (induct_tac "xs" 1); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed "butlast_snoc"; Addsimps [butlast_snoc]; goal thy "length(butlast xs) = length xs - 1"; -by(res_inst_tac [("xs","xs")] snoc_induct 1); -by(ALLGOALS Asm_simp_tac); +by (res_inst_tac [("xs","xs")] snoc_induct 1); +by (ALLGOALS Asm_simp_tac); qed "length_butlast"; Addsimps [length_butlast]; goal thy "!ys. butlast (xs@ys) = (if ys=[] then butlast xs else xs@butlast ys)"; by (induct_tac "xs" 1); -by (ALLGOALS(asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed_spec_mp "butlast_append"; goal thy "x:set(butlast xs) --> x:set xs"; by (induct_tac "xs" 1); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed_spec_mp "in_set_butlastD"; goal thy "!!xs. x:set(butlast xs) ==> x:set(butlast(xs@ys))"; -by (asm_simp_tac (simpset() addsimps [butlast_append] - addsplits [expand_if]) 1); +by (asm_simp_tac (simpset() addsimps [butlast_append]) 1); by (blast_tac (claset() addDs [in_set_butlastD]) 1); qed "in_set_butlast_appendI1"; goal thy "!!xs. x:set(butlast ys) ==> x:set(butlast(xs@ys))"; -by (asm_simp_tac (simpset() addsimps [butlast_append] - addsplits [expand_if]) 1); +by (asm_simp_tac (simpset() addsimps [butlast_append]) 1); by (Clarify_tac 1); by (Full_simp_tac 1); qed "in_set_butlast_appendI2"; @@ -751,15 +749,13 @@ goal thy "takeWhile P xs @ dropWhile P xs = xs"; by (induct_tac "xs" 1); - by (Simp_tac 1); -by (asm_full_simp_tac (simpset() addsplits [expand_if]) 1); +by (ALLGOALS Asm_full_simp_tac); qed "takeWhile_dropWhile_id"; Addsimps [takeWhile_dropWhile_id]; goal thy "x:set xs & ~P(x) --> takeWhile P (xs @ ys) = takeWhile P xs"; by (induct_tac "xs" 1); - by (Simp_tac 1); -by (asm_full_simp_tac (simpset() addsplits [expand_if]) 1); +by (ALLGOALS Asm_full_simp_tac); by (Blast_tac 1); bind_thm("takeWhile_append1", conjI RS (result() RS mp)); Addsimps [takeWhile_append1]; @@ -767,16 +763,14 @@ goal thy "(!x:set xs. P(x)) --> takeWhile P (xs @ ys) = xs @ takeWhile P ys"; by (induct_tac "xs" 1); - by (Simp_tac 1); -by (asm_full_simp_tac (simpset() addsplits [expand_if]) 1); +by (ALLGOALS Asm_full_simp_tac); bind_thm("takeWhile_append2", ballI RS (result() RS mp)); Addsimps [takeWhile_append2]; goal thy "x:set xs & ~P(x) --> dropWhile P (xs @ ys) = (dropWhile P xs)@ys"; by (induct_tac "xs" 1); - by (Simp_tac 1); -by (asm_full_simp_tac (simpset() addsplits [expand_if]) 1); +by (ALLGOALS Asm_full_simp_tac); by (Blast_tac 1); bind_thm("dropWhile_append1", conjI RS (result() RS mp)); Addsimps [dropWhile_append1]; @@ -784,15 +778,13 @@ goal thy "(!x:set xs. P(x)) --> dropWhile P (xs @ ys) = dropWhile P ys"; by (induct_tac "xs" 1); - by (Simp_tac 1); -by (asm_full_simp_tac (simpset() addsplits [expand_if]) 1); +by (ALLGOALS Asm_full_simp_tac); bind_thm("dropWhile_append2", ballI RS (result() RS mp)); Addsimps [dropWhile_append2]; goal thy "x:set(takeWhile P xs) --> x:set xs & P x"; by (induct_tac "xs" 1); - by (Simp_tac 1); -by (asm_full_simp_tac (simpset() addsplits [expand_if]) 1); +by (ALLGOALS Asm_full_simp_tac); qed_spec_mp"set_take_whileD"; qed_goal "zip_Nil_Nil" thy "zip [] [] = []" (K [Simp_tac 1]); @@ -805,21 +797,18 @@ goal thy "set(remdups xs) = set xs"; by (induct_tac "xs" 1); by (Simp_tac 1); -by (asm_full_simp_tac (simpset() addsimps [insert_absorb] - addsplits [expand_if]) 1); +by (asm_full_simp_tac (simpset() addsimps [insert_absorb]) 1); qed "set_remdups"; Addsimps [set_remdups]; goal thy "nodups(remdups xs)"; by (induct_tac "xs" 1); - by (Simp_tac 1); -by (asm_full_simp_tac (simpset() addsplits [expand_if]) 1); +by (ALLGOALS Asm_full_simp_tac); qed "nodups_remdups"; goal thy "nodups xs --> nodups (filter P xs)"; by (induct_tac "xs" 1); - by (Simp_tac 1); -by (asm_full_simp_tac (simpset() addsplits [expand_if]) 1); +by (ALLGOALS Asm_full_simp_tac); qed_spec_mp "nodups_filter"; (** replicate **) diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Map.ML --- a/src/HOL/Map.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Map.ML Sat Mar 07 16:29:29 1998 +0100 @@ -21,7 +21,7 @@ qed_goal "update_other" thy "!!X. l~=k ==> (t[k|->x]) l = t l" (K [Asm_simp_tac 1]); qed_goal "update_triv" thy "!!X. t k = Some x ==> t[k|->x] = t" - (K [rtac ext 1, asm_simp_tac (simpset() addsplits [expand_if]) 1]); + (K [rtac ext 1, Asm_simp_tac 1]); (*Addsimps [update_same, update_other, update_triv];*) section "++"; @@ -56,14 +56,14 @@ by (induct_tac "xs" 1); by (Simp_tac 1); by (rtac ext 1); -by (asm_simp_tac (simpset() addsplits [expand_if,split_option_case]) 1); +by (asm_simp_tac (simpset() addsplits [split_option_case]) 1); qed "map_of_append"; Addsimps [map_of_append]; goal thy "map_of xs k = Some y --> (k,y):set xs"; by (list.induct_tac "xs" 1); by (Simp_tac 1); -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); +by (Asm_simp_tac 1); by (split_all_tac 1); by (Simp_tac 1); qed_spec_mp "map_of_SomeD"; @@ -76,7 +76,7 @@ Addsimps [dom_empty]; goalw thy [dom_def] "dom(m[a|->b]) = insert a (dom m)"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (Blast_tac 1); qed "dom_update"; Addsimps [dom_update]; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/MiniML/Generalize.ML --- a/src/HOL/MiniML/Generalize.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/MiniML/Generalize.ML Sat Mar 07 16:29:29 1998 +0100 @@ -45,8 +45,8 @@ by (typ.induct_tac "t1" 1); by (Simp_tac 1); by (case_tac "nat : free_tv A" 1); -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); +by (Asm_simp_tac 1); +by (Asm_simp_tac 1); by (Fast_tac 1); by (Asm_simp_tac 1); by (Fast_tac 1); @@ -97,7 +97,7 @@ by (rename_tac "R" 1); by (res_inst_tac [("x", "(%a. bound_typ_inst R (gen ($S A) (S a)))")] exI 1); by (typ.induct_tac "t" 1); - by (simp_tac (simpset() addsplits [expand_if]) 1); + by (Simp_tac 1); by (Asm_simp_tac 1); qed "gen_bound_typ_instance"; @@ -107,7 +107,7 @@ by (rename_tac "S" 1); by (res_inst_tac [("x","%b. if b:free_tv A then TVar b else S b")] exI 1); by (typ.induct_tac "t" 1); - by (asm_simp_tac (simpset() addsplits [expand_if]) 1); + by (Asm_simp_tac 1); by (Fast_tac 1); by (Asm_simp_tac 1); qed "free_tv_subset_gen_le"; @@ -121,8 +121,8 @@ by (typ.induct_tac "t" 1); by (Simp_tac 1); by (case_tac "nat : free_tv A" 1); -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); +by (Asm_simp_tac 1); +by (Asm_simp_tac 1); by (subgoal_tac "n <= n + nat" 1); by (forw_inst_tac [("t","A")] new_tv_le 1); by (assume_tac 1); diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/MiniML/Instance.ML --- a/src/HOL/MiniML/Instance.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/MiniML/Instance.ML Sat Mar 07 16:29:29 1998 +0100 @@ -66,8 +66,8 @@ by (rename_tac "S1 S2" 1); by (res_inst_tac [("x","%x. if x:bound_tv type_scheme1 then (S1 x) else (S2 x)")] exI 1); by Safe_tac; -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); +by (Asm_simp_tac 1); +by (Asm_simp_tac 1); by (strip_tac 1); by (dres_inst_tac [("x","x")] bspec 1); by (assume_tac 1); @@ -82,8 +82,8 @@ goal thy "!!sch. new_tv n sch --> subst_to_scheme (%k. if n <= k then BVar (k - n) else FVar k) \ \ (bound_typ_inst (%k. TVar (k + n)) sch) = sch"; by (type_scheme.induct_tac "sch" 1); -by (simp_tac (simpset() addsimps [leD] addsplits [expand_if]) 1); -by (simp_tac (simpset() addsimps [le_add2,diff_add_inverse2] addsplits [expand_if]) 1); +by (simp_tac (simpset() addsimps [leD]) 1); +by (simp_tac (simpset() addsimps [le_add2,diff_add_inverse2]) 1); by (Asm_simp_tac 1); qed_spec_mp "subst_to_scheme_inverse"; @@ -96,9 +96,9 @@ \ (subst_to_scheme (%k. if n <= k then BVar (k - n) else FVar k) (bound_typ_inst S sch) = \ \ bound_scheme_inst ((subst_to_scheme (%k. if n <= k then BVar (k - n) else FVar k)) o S) sch)"; by (type_scheme.induct_tac "sch" 1); -by (simp_tac (simpset() addsplits [expand_if] addsimps [leD]) 1); +by (simp_tac (simpset() addsimps [leD]) 1); by (Asm_simp_tac 1); -by (asm_full_simp_tac (simpset() addsplits [expand_if] addsimps [leD]) 1); +by (asm_full_simp_tac (simpset() addsimps [leD]) 1); val aux2 = result () RS mp; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/MiniML/MiniML.ML --- a/src/HOL/MiniML/MiniML.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/MiniML/MiniML.ML Sat Mar 07 16:29:29 1998 +0100 @@ -82,7 +82,7 @@ goalw thy [free_tv_subst,dom_def] "!!A. dom (%n. if n : free_tv A Un free_tv t then S n else TVar n) <= \ \ free_tv A Un free_tv t"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (Fast_tac 1); qed "dom_S'"; @@ -110,7 +110,7 @@ \ (free_tv ($ (%x. TVar (if x : free_tv A then x else n + x)) t1) - free_tv A) <= \ \ {x. ? y. x = n + y}"; by (typ.induct_tac "t1" 1); -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (Fast_tac 1); by (Simp_tac 1); by (Fast_tac 1); diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/MiniML/Type.ML --- a/src/HOL/MiniML/Type.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/MiniML/Type.ML Sat Mar 07 16:29:29 1998 +0100 @@ -352,7 +352,7 @@ goal thy "!!sch::type_scheme. (n : free_tv sch) = (n mem free_tv_ML sch)"; by (type_scheme.induct_tac "sch" 1); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); by (strip_tac 1); by (Fast_tac 1); qed "free_tv_ML_scheme"; @@ -423,14 +423,14 @@ goal thy "new_tv n (t::typ) --> $(%x. if x=n then t' else S x) t = $S t"; by (typ.induct_tac "t" 1); -by (ALLGOALS(asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed "subst_te_new_tv"; Addsimps [subst_te_new_tv]; goal thy "new_tv n (sch::type_scheme) --> $(%x. if x=n then sch' else S x) sch = $S sch"; by (type_scheme.induct_tac "sch" 1); -by (ALLGOALS(asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed_spec_mp "subst_te_new_type_scheme"; Addsimps [subst_te_new_type_scheme]; @@ -547,13 +547,13 @@ Addsimps [new_tv_not_free_tv]; goalw thy [max_def] "!!n::nat. m < n ==> m < max n n'"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by Safe_tac; by (trans_tac 1); qed "less_maxL"; goalw thy [max_def] "!!n::nat. m < n' ==> m < max n n'"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (fast_tac (claset() addDs [not_leE] addIs [less_trans]) 1); val less_maxR = result(); @@ -586,11 +586,11 @@ Addsimps [fresh_variable_type_schemes]; goalw thy [max_def] "!!n::nat. n <= (max n n')"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); val le_maxL = result(); goalw thy [max_def] "!!n'::nat. n' <= (max n n')"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (fast_tac (claset() addDs [not_leE] addIs [less_or_eq_imp_le]) 1); val le_maxR = result(); diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/MiniML/W.ML --- a/src/HOL/MiniML/W.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/MiniML/W.ML Sat Mar 07 16:29:29 1998 +0100 @@ -18,7 +18,7 @@ "!A n S t m. W e A n = Some (S,t,m) --> n<=m"; by (expr.induct_tac "e" 1); (* case Var(n) *) -by (simp_tac (simpset() addsplits [split_option_bind,expand_if]) 1); +by (simp_tac (simpset() addsplits [split_option_bind]) 1); (* case Abs e *) by (simp_tac (simpset() addsplits [split_option_bind]) 1); by (fast_tac (HOL_cs addDs [Suc_leD]) 1); @@ -58,7 +58,7 @@ by (assume_tac 2); by (rtac add_le_mono 1); by (Simp_tac 1); -by (simp_tac (simpset() addsplits [expand_if] addsimps [max_def]) 1); +by (simp_tac (simpset() addsimps [max_def]) 1); by (strip_tac 1); by (rtac new_tv_le 1); by (mp_tac 2); @@ -66,7 +66,7 @@ by (assume_tac 2); by (rtac add_le_mono 1); by (Simp_tac 1); -by (simp_tac (simpset() addsplits [expand_if] addsimps [max_def]) 1); +by (simp_tac (simpset() addsimps [max_def]) 1); by (strip_tac 1); by (dtac not_leE 1); by (rtac less_or_eq_imp_le 1); @@ -81,7 +81,7 @@ \ new_tv m S & new_tv m t"; by (expr.induct_tac "e" 1); (* case Var n *) -by (simp_tac (simpset() addsplits [split_option_bind,expand_if]) 1); +by (simp_tac (simpset() addsplits [split_option_bind]) 1); by (strip_tac 1); by (dtac new_tv_nth_nat_A 1); by (assume_tac 1); @@ -178,7 +178,7 @@ by (expr.induct_tac "e" 1); (* case Var n *) by (simp_tac (simpset() addsimps - [free_tv_subst] addsplits [split_option_bind,expand_if]) 1); + [free_tv_subst] addsplits [split_option_bind]) 1); by (strip_tac 1); by (case_tac "v : free_tv (A!nat)" 1); by (Asm_full_simp_tac 1); @@ -272,7 +272,7 @@ "!A S t m n . new_tv n A --> Some (S,t,m) = W e A n --> $S A |- e :: t"; by (expr.induct_tac "e" 1); (* case Var n *) -by (asm_full_simp_tac (simpset() addsplits [expand_if]) 1); +by (Asm_full_simp_tac 1); by (strip_tac 1); by (rtac has_type.VarI 1); by (Simp_tac 1); @@ -396,7 +396,7 @@ by (expr.induct_tac "e" 1); (* case Var n *) by (strip_tac 1); -by (simp_tac (simpset() addcongs [conj_cong] addsplits [expand_if]) 1); +by (simp_tac (simpset() addcongs [conj_cong]) 1); by (eresolve_tac has_type_casesE 1); by (asm_full_simp_tac (simpset() addsimps [is_bound_typ_instance]) 1); by (etac exE 1); @@ -457,7 +457,7 @@ by (case_tac "na:free_tv Sa" 2); (* n1 ~: free_tv S1 *) by (forward_tac [not_free_impl_id] 3); -by (asm_simp_tac (simpset() addsplits [expand_if]) 3); +by (Asm_simp_tac 3); (* na : free_tv Sa *) by (dres_inst_tac [("A1","$ S A")] (subst_comp_scheme_list RSN (2,trans)) 2); by (dtac eq_subst_scheme_list_eq_free 2); @@ -465,7 +465,7 @@ by (Asm_simp_tac 2); by (case_tac "na:dom Sa" 2); (* na ~: dom Sa *) -by (asm_full_simp_tac (simpset() addsimps [dom_def] addsplits [expand_if]) 3); +by (asm_full_simp_tac (simpset() addsimps [dom_def]) 3); (* na : dom Sa *) by (rtac eq_free_eq_subst_te 2); by (strip_tac 2); @@ -476,8 +476,7 @@ by (fast_tac (HOL_cs addIs [new_scheme_list_le] addDs [sym RS W_var_geD]) 3); by (fast_tac (set_cs addDs [new_tv_W,new_tv_not_free_tv] addss (simpset() addsimps [cod_def,free_tv_subst])) 3); -by (fast_tac (set_cs addss (simpset() addsimps [cod_def,free_tv_subst] - addsplits [expand_if])) 2); +by (fast_tac (set_cs addss (simpset() addsimps [cod_def,free_tv_subst])) 2); by (Simp_tac 2); by (rtac eq_free_eq_subst_te 2); by (strip_tac 2 ); @@ -488,10 +487,10 @@ by (fast_tac (HOL_cs addDs [new_scheme_list_le,new_tv_subst_scheme_list,new_tv_W,new_tv_not_free_tv]) 3); by (case_tac "na: free_tv t - free_tv Sa" 2); (* case na ~: free_tv t - free_tv Sa *) -by ( asm_full_simp_tac (simpset() addsplits [expand_if]) 3); +by (Asm_full_simp_tac 3); by (Fast_tac 3); (* case na : free_tv t - free_tv Sa *) -by ( asm_full_simp_tac (simpset() addsplits [expand_if]) 2); +by (Asm_full_simp_tac 2); by (dres_inst_tac [("A1","$ S A")] (subst_comp_scheme_list RSN (2,trans)) 2); by (dtac eq_subst_scheme_list_eq_free 2); by (fast_tac (HOL_cs addIs [free_tv_W,free_tv_le_new_tv] addDs [new_tv_W]) 2); @@ -527,9 +526,9 @@ new_tv_not_free_tv]) 2); by (case_tac "na: free_tv t - free_tv Sa" 1); (* case na ~: free_tv t - free_tv Sa *) -by (asm_full_simp_tac (simpset() addsplits [expand_if]) 2); +by (Asm_full_simp_tac 2); (* case na : free_tv t - free_tv Sa *) -by (asm_full_simp_tac (simpset() addsplits [expand_if]) 1); +by (Asm_full_simp_tac 1); by (dtac (free_tv_app_subst_scheme_list RS subsetD) 1); by (fast_tac (set_cs addDs [codD,subst_comp_scheme_list RSN (2,trans), eq_subst_scheme_list_eq_free] addss ((simpset() addsimps diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Nat.ML --- a/src/HOL/Nat.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Nat.ML Sat Mar 07 16:29:29 1998 +0100 @@ -15,7 +15,6 @@ qed "min_0R"; goalw thy [min_def] "min (Suc m) (Suc n) = Suc(min m n)"; -by (split_tac [expand_if] 1); by (Simp_tac 1); qed "min_Suc_Suc"; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/NatDef.ML --- a/src/HOL/NatDef.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/NatDef.ML Sat Mar 07 16:29:29 1998 +0100 @@ -599,12 +599,12 @@ (** max goalw thy [max_def] "!!z::nat. (z <= max x y) = (z <= x | z <= y)"; -by (simp_tac (simpset() addsimps [not_le_iff_less] addsplits [expand_if]) 1); +by (simp_tac (simpset() addsimps [not_le_iff_less]) 1); by (blast_tac (claset() addIs [less_imp_le, le_trans]) 1); qed "le_max_iff_disj"; goalw thy [max_def] "!!z::nat. (max x y <= z) = (x <= z & y <= z)"; -by (simp_tac (simpset() addsimps [not_le_iff_less] addsplits [expand_if]) 1); +by (simp_tac (simpset() addsimps [not_le_iff_less]) 1); by (blast_tac (claset() addIs [less_imp_le, le_trans]) 1); qed "max_le_iff_conj"; @@ -612,12 +612,12 @@ (** min **) goalw thy [min_def] "!!z::nat. (z <= min x y) = (z <= x & z <= y)"; -by (simp_tac (simpset() addsimps [not_le_iff_less] addsplits [expand_if]) 1); +by (simp_tac (simpset() addsimps [not_le_iff_less]) 1); by (blast_tac (claset() addIs [less_imp_le, le_trans]) 1); qed "le_min_iff_conj"; goalw thy [min_def] "!!z::nat. (min x y <= z) = (x <= z | y <= z)"; -by (simp_tac (simpset() addsimps [not_le_iff_less] addsplits [expand_if]) 1); +by (simp_tac (simpset() addsimps [not_le_iff_less] addsplits) 1); by (blast_tac (claset() addIs [less_imp_le, le_trans]) 1); qed "min_le_iff_disj"; **) diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Ord.ML --- a/src/HOL/Ord.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Ord.ML Sat Mar 07 16:29:29 1998 +0100 @@ -43,14 +43,12 @@ (** min **) goalw thy [min_def] "!!least. (!!x. least <= x) ==> min least x = least"; -by (split_tac [expand_if] 1); by (Asm_simp_tac 1); qed "min_leastL"; val prems = goalw thy [min_def] "(!!x::'a::order. least <= x) ==> min x least = least"; by (cut_facts_tac prems 1); -by (split_tac [expand_if] 1); by (Asm_simp_tac 1); by (blast_tac (claset() addIs [order_antisym]) 1); qed "min_leastR"; @@ -65,25 +63,25 @@ qed "linorder_less_linear"; goalw thy [max_def] "!!z::'a::linorder. (z <= max x y) = (z <= x | z <= y)"; -by (simp_tac (simpset() addsimps [] addsplits [expand_if]) 1); +by (Simp_tac 1); by(cut_facts_tac [linorder_linear] 1); by (blast_tac (claset() addIs [order_trans]) 1); qed "le_max_iff_disj"; goalw thy [max_def] "!!z::'a::linorder. (max x y <= z) = (x <= z & y <= z)"; -by (simp_tac (simpset() addsimps [] addsplits [expand_if]) 1); +by (Simp_tac 1); by(cut_facts_tac [linorder_linear] 1); by (blast_tac (claset() addIs [order_trans]) 1); qed "max_le_iff_conj"; goalw thy [min_def] "!!z::'a::linorder. (z <= min x y) = (z <= x & z <= y)"; -by (simp_tac (simpset() addsimps [] addsplits [expand_if]) 1); +by (Simp_tac 1); by(cut_facts_tac [linorder_linear] 1); by (blast_tac (claset() addIs [order_trans]) 1); qed "le_min_iff_conj"; goalw thy [min_def] "!!z::'a::linorder. (min x y <= z) = (x <= z | y <= z)"; -by (simp_tac (simpset() addsimps [] addsplits [expand_if]) 1); +by (Simp_tac 1); by(cut_facts_tac [linorder_linear] 1); by (blast_tac (claset() addIs [order_trans]) 1); qed "min_le_iff_disj"; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Set.ML --- a/src/HOL/Set.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Set.ML Sat Mar 07 16:29:29 1998 +0100 @@ -664,7 +664,7 @@ (*Not for Addsimps -- it can cause goals to blow up!*) goal Set.thy "(a : (if Q then x else y)) = ((Q --> a:x) & (~Q --> a : y))"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); qed "mem_if"; val mksimps_pairs = ("Ball",[bspec]) :: mksimps_pairs; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Subst/Subst.ML --- a/src/HOL/Subst/Subst.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Subst/Subst.ML Sat Mar 07 16:29:29 1998 +0100 @@ -41,7 +41,7 @@ qed "agreement"; goal Subst.thy "~ v: vars_of(t) --> t <| (v,u)#s = t <| s"; -by (simp_tac (simpset() addsimps [agreement] addsplits [expand_if]) 1); +by (simp_tac (simpset() addsimps [agreement]) 1); qed_spec_mp"repl_invariance"; val asms = goal Subst.thy @@ -111,7 +111,7 @@ by (induct_tac "t" 1); by (ALLGOALS Asm_simp_tac); by (alist_ind_tac "r" 1); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed "subst_comp"; Addsimps [subst_comp]; @@ -130,7 +130,7 @@ by (simp_tac (simpset() addsimps [subst_eq_iff]) 1); by (rtac allI 1); by (induct_tac "t" 1); -by (ALLGOALS (asm_full_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_full_simp_tac); qed "Cons_trivial"; @@ -143,7 +143,7 @@ goal Subst.thy "(v : sdom(s)) = (Var(v) <| s ~= Var(v))"; by (alist_ind_tac "s" 1); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); by (Blast_tac 1); qed "sdom_iff"; @@ -203,7 +203,7 @@ goal Subst.thy "(M <| [(x, Var x)]) = M"; by (induct_tac "M" 1); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed "id_subst_lemma"; Addsimps [id_subst_lemma]; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Subst/Unifier.ML --- a/src/HOL/Subst/Unifier.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Subst/Unifier.ML Sat Mar 07 16:29:29 1998 +0100 @@ -82,8 +82,7 @@ goal Unifier.thy "~ (Var(v) <: t) --> Idem([(v,t)])"; by (simp_tac (simpset() addsimps [vars_iff_occseq, Idem_iff, srange_iff, - empty_iff_all_not] - addsplits [expand_if]) 1); + empty_iff_all_not]) 1); by (Blast_tac 1); qed_spec_mp "Var_Idem"; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/Subst/Unify.ML --- a/src/HOL/Subst/Unify.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/Subst/Unify.ML Sat Mar 07 16:29:29 1998 +0100 @@ -153,8 +153,7 @@ (* Apply induction *) by (res_inst_tac [("u","M1"),("v","M2")] unifyInduct0 1); by (ALLGOALS - (asm_simp_tac (simpset() addsimps (var_elimR::unifyRules0) - addsplits [expand_if]))); + (asm_simp_tac (simpset() addsimps (var_elimR::unifyRules0)))); (*Const-Const case*) by (simp_tac (simpset() addsimps [unifyRel_def, lex_prod_def, measure_def, @@ -207,7 +206,7 @@ goal Unify.thy "!theta. unify(M,N) = Some theta --> MGUnifier theta M N"; by (res_inst_tac [("u","M"),("v","N")] unifyInduct 1); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); (*Const-Const case*) by (simp_tac (simpset() addsimps [MGUnifier_def,Unifier_def]) 1); (*Const-Var case*) @@ -245,8 +244,7 @@ by (res_inst_tac [("u","M"),("v","N")] unifyInduct 1); by (ALLGOALS (asm_simp_tac - (simpset() addsimps [Var_Idem] - addsplits [expand_if,split_option_case]))); + (simpset() addsimps [Var_Idem] addsplits [split_option_case]))); (*Comb-Comb case*) by Safe_tac; by (REPEAT (dtac spec 1 THEN mp_tac 1)); diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/W0/I.ML --- a/src/HOL/W0/I.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/W0/I.ML Sat Mar 07 16:29:29 1998 +0100 @@ -144,7 +144,7 @@ goal I.thy "!a m s. \ \ new_tv m a & new_tv m s --> I e a m s = Fail --> W e ($s a) m = Fail"; by (expr.induct_tac "e" 1); - by (simp_tac (simpset() addsimps [app_subst_list] addsplits [expand_if]) 1); + by (simp_tac (simpset() addsimps [app_subst_list]) 1); by (Simp_tac 1); by (strip_tac 1); by (subgoal_tac "TVar m # $ s a = $s(TVar m # a)" 1); diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/W0/Type.ML --- a/src/HOL/W0/Type.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/W0/Type.ML Sat Mar 07 16:29:29 1998 +0100 @@ -157,7 +157,7 @@ goal thy "new_tv n (t::typ) --> $(%x. if x=n then t' else s x) t = $s t"; by (typ.induct_tac "t" 1); -by (ALLGOALS(asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed "subst_te_new_tv"; Addsimps [subst_te_new_tv]; @@ -259,7 +259,7 @@ (* case [] *) by (Simp_tac 1); (* case x#xl *) -by (fast_tac (set_cs addss(simpset() addsplits [expand_if])) 1); +by (fast_tac (set_cs addss simpset()) 1); qed_spec_mp "ftv_mem_sub_ftv_list"; Addsimps [ftv_mem_sub_ftv_list]; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/W0/W.ML --- a/src/HOL/W0/W.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/W0/W.ML Sat Mar 07 16:29:29 1998 +0100 @@ -14,7 +14,7 @@ "!a s t m n . Ok (s,t,m) = W e a n --> $s a |- e :: t"; by (expr.induct_tac "e" 1); (* case Var n *) -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); +by (Asm_simp_tac 1); (* case Abs e *) by (asm_full_simp_tac (simpset() addsimps [app_subst_list] addsplits [expand_bind]) 1); @@ -45,7 +45,7 @@ "!a n s t m. W e a n = Ok (s,t,m) --> n<=m"; by (expr.induct_tac "e" 1); (* case Var(n) *) -by (fast_tac (HOL_cs addss(simpset() addsplits [expand_if])) 1); +by (fast_tac (HOL_cs addss simpset()) 1); (* case Abs e *) by (simp_tac (simpset() addsplits [expand_bind]) 1); by (fast_tac (HOL_cs addDs [Suc_leD]) 1); @@ -91,8 +91,7 @@ by (expr.induct_tac "e" 1); (* case Var n *) by (fast_tac (HOL_cs addDs [list_all_nth] addss (simpset() - addsimps [id_subst_def,new_tv_list,new_tv_subst] - addsplits [expand_if])) 1); + addsimps [id_subst_def,new_tv_list,new_tv_subst])) 1); (* case Abs e *) by (simp_tac (simpset() addsimps [new_tv_subst,new_tv_Suc_list] addsplits [expand_bind]) 1); @@ -159,7 +158,7 @@ by (expr.induct_tac "e" 1); (* case Var n *) by (fast_tac (HOL_cs addIs [nth_mem,subsetD,ftv_mem_sub_ftv_list] - addss (simpset() addsplits [expand_if])) 1); + addss simpset()) 1); (* case Abs e *) by (asm_full_simp_tac (simpset() addsimps @@ -225,8 +224,7 @@ by (expr.induct_tac "e" 1); (* case Var n *) by (strip_tac 1); -by (simp_tac (simpset() addcongs [conj_cong] - addsplits [expand_if]) 1); +by (simp_tac (simpset() addcongs [conj_cong]) 1); by (eresolve_tac has_type_casesE 1); by (asm_full_simp_tac (simpset() addsimps [eq_sym_conv,app_subst_list]) 1); by (res_inst_tac [("x","s'")] exI 1); @@ -284,7 +282,7 @@ by (case_tac "na:free_tv sa" 2); (* na ~: free_tv sa *) by (forward_tac [not_free_impl_id] 3); -by (asm_simp_tac (simpset() addsplits [expand_if]) 3); +by (Asm_simp_tac 3); (* na : free_tv sa *) by (dres_inst_tac [("ts1","$ s a")] (subst_comp_tel RSN (2,trans)) 2); by (dtac eq_subst_tel_eq_free 2); @@ -293,8 +291,7 @@ by (case_tac "na:dom sa" 2); (* na ~: dom sa *) (** LEVEL 50 **) -by (asm_full_simp_tac (simpset() addsimps [dom_def] - addsplits [expand_if]) 3); +by (asm_full_simp_tac (simpset() addsimps [dom_def]) 3); (* na : dom sa *) by (rtac eq_free_eq_subst_te 2); by (strip_tac 2); @@ -305,8 +302,7 @@ by (fast_tac (HOL_cs addIs [new_tv_list_le] addDs [sym RS W_var_geD]) 3); by (fast_tac (set_cs addDs [new_tv_W,new_tv_not_free_tv] addss (simpset() addsimps [cod_def,free_tv_subst])) 3); -by (fast_tac (set_cs addss (simpset() addsimps [cod_def,free_tv_subst] - addsplits [expand_if])) 2); +by (fast_tac (set_cs addss (simpset() addsimps [cod_def,free_tv_subst])) 2); (** LEVEL 60 **) by (Simp_tac 2); @@ -320,9 +316,9 @@ by (case_tac "na: free_tv t - free_tv sa" 2); (** LEVEL 69 **) (* case na ~: free_tv t - free_tv sa *) -by ( asm_full_simp_tac (simpset() addsplits [expand_if]) 3); +by (Asm_full_simp_tac 3); (* case na : free_tv t - free_tv sa *) -by ( asm_full_simp_tac (simpset() addsplits [expand_if]) 2); +by (Asm_full_simp_tac 2); by (dres_inst_tac [("ts1","$ s a")] (subst_comp_tel RSN (2,trans)) 2); by (dtac eq_subst_tel_eq_free 2); by (fast_tac (HOL_cs addIs [free_tv_W,free_tv_le_new_tv] addDs [new_tv_W]) 2); @@ -358,9 +354,9 @@ new_tv_not_free_tv]) 2); by (case_tac "na: free_tv t - free_tv sa" 1); (* case na ~: free_tv t - free_tv sa *) -by (asm_full_simp_tac (simpset() addsplits [expand_if]) 2); +by (Asm_full_simp_tac 2); (* case na : free_tv t - free_tv sa *) -by (asm_full_simp_tac (simpset() addsplits [expand_if]) 1); +by (Asm_full_simp_tac 1); by (dtac (free_tv_app_subst_tel RS subsetD) 1); by (fast_tac (set_cs addDs [codD,subst_comp_tel RSN (2,trans), eq_subst_tel_eq_free] diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/WF.ML --- a/src/HOL/WF.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/WF.ML Sat Mar 07 16:29:29 1998 +0100 @@ -153,7 +153,7 @@ H_cong to expose the equality*) goalw WF.thy [cut_def] "(cut f r x = cut g r x) = (!y. (y,x):r --> f(y)=g(y))"; -by (simp_tac (HOL_ss addsimps [expand_fun_eq] addsplits [expand_if]) 1); +by (simp_tac (HOL_ss addsimps [expand_fun_eq]) 1); qed "cuts_eq"; goalw WF.thy [cut_def] "!!x. (x,a):r ==> (cut f r a)(x) = f(x)"; @@ -193,8 +193,7 @@ and fisg = recgb RS (recfa RS (transr RS (wfr RS is_recfun_equal))); by (cut_facts_tac prems 1); by (rtac ext 1); -by (asm_simp_tac (wf_super_ss addsimps [gundef,fisg] - addsplits [expand_if]) 1); +by (asm_simp_tac (wf_super_ss addsimps [gundef,fisg]) 1); qed "is_recfun_cut"; (*** Main Existence Lemma -- Basic Properties of the_recfun ***) diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/equalities.ML --- a/src/HOL/equalities.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/equalities.ML Sat Mar 07 16:29:29 1998 +0100 @@ -115,7 +115,7 @@ goalw thy [image_def] "(%x. if P x then f x else g x) `` S \ \ = (f `` (S Int {x. P x})) Un (g `` (S Int {x. ~(P x)}))"; -by (split_tac [expand_if] 1); +by (Simp_tac 1); by (Blast_tac 1); qed "if_image_distrib"; Addsimps[if_image_distrib]; @@ -275,13 +275,13 @@ goal thy "(insert a B) Int C = (if a:C then insert a (B Int C) \ \ else B Int C)"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (Blast_tac 1); qed "Int_insert_left"; goal thy "A Int (insert a B) = (if a:A then insert a (A Int B) \ \ else A Int B)"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (Blast_tac 1); qed "Int_insert_right"; @@ -612,7 +612,7 @@ qed "Diff_insert2"; goal thy "insert x A - B = (if x:B then A-B else insert x (A-B))"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (Blast_tac 1); qed "insert_Diff_if"; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/ex/Fib.ML --- a/src/HOL/ex/Fib.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/ex/Fib.ML Sat Mar 07 16:29:29 1998 +0100 @@ -58,8 +58,7 @@ by (stac (read_instantiate [("x", "Suc ?n")] fib_Suc_Suc) 3); by (ALLGOALS (*using fib.rules here results in a longer proof!*) (asm_simp_tac (simpset() addsimps [add_mult_distrib, add_mult_distrib2, - mod_less, mod_Suc] - addsplits [expand_if]))); + mod_less, mod_Suc]))); by (ALLGOALS (asm_full_simp_tac (simpset() addsimps (fib.rules @ add_ac @ mult_ac @ diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/ex/InSort.ML --- a/src/HOL/ex/InSort.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/ex/InSort.ML Sat Mar 07 16:29:29 1998 +0100 @@ -8,8 +8,7 @@ goal thy "!y. mset(ins f x xs) y = mset (x#xs) y"; by (list.induct_tac "xs" 1); -by (Asm_simp_tac 1); -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); +by (ALLGOALS Asm_simp_tac); qed "mset_ins"; Addsimps [mset_ins]; @@ -19,8 +18,7 @@ qed "insort_permutes"; goal thy "set(ins f x xs) = insert x (set xs)"; -by (asm_simp_tac (simpset() addsimps [set_via_mset] - addsplits [expand_if]) 1); +by (asm_simp_tac (simpset() addsimps [set_via_mset]) 1); by (Fast_tac 1); qed "set_ins"; Addsimps [set_ins]; @@ -28,7 +26,7 @@ val prems = goalw InSort.thy [total_def,transf_def] "[| total(f); transf(f) |] ==> sorted f (ins f x xs) = sorted f xs"; by (list.induct_tac "xs" 1); -by (ALLGOALS(asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); by (cut_facts_tac prems 1); by (Fast_tac 1); qed "sorted_ins"; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/ex/Primes.ML --- a/src/HOL/ex/Primes.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/ex/Primes.ML Sat Mar 07 16:29:29 1998 +0100 @@ -36,7 +36,7 @@ goal thy "!!m. 0 gcd(m,n) = gcd (n, m mod n)"; by (rtac (gcd_eq RS trans) 1); -by (asm_simp_tac (simpset() addsplits [expand_if]) 1); +by (Asm_simp_tac 1); by (Blast_tac 1); qed "gcd_less_0"; Addsimps [gcd_0, gcd_less_0]; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/ex/Qsort.ML --- a/src/HOL/ex/Qsort.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/ex/Qsort.ML Sat Mar 07 16:29:29 1998 +0100 @@ -26,7 +26,7 @@ goal Qsort.thy "!x. mset (qsort le xs) x = mset xs x"; by (res_inst_tac[("xs","xs"),("p","le")]Qsort.qsort_ind 1); -by (ALLGOALS(asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed "qsort_permutes"; goal Qsort.thy "set(qsort le xs) = set xs"; @@ -37,7 +37,7 @@ goal List.thy "(!x:set[x:xs. P(x)].Q(x)) = (!x:set xs. P(x)-->Q(x))"; by (list.induct_tac "xs" 1); -by (ALLGOALS(asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed"Ball_set_filter"; Addsimps [Ball_set_filter]; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/ex/Recdef.ML --- a/src/HOL/ex/Recdef.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/ex/Recdef.ML Sat Mar 07 16:29:29 1998 +0100 @@ -13,7 +13,7 @@ goal thy "(x mem qsort (ord,l)) = (x mem l)"; by (res_inst_tac [("u","ord"),("v","l")] qsort.induct 1); -by (ALLGOALS (asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); by (Blast_tac 1); qed "qsort_mem_stable"; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/ex/Sorting.ML --- a/src/HOL/ex/Sorting.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/ex/Sorting.ML Sat Mar 07 16:29:29 1998 +0100 @@ -8,20 +8,20 @@ goal Sorting.thy "!x. mset (xs@ys) x = mset xs x + mset ys x"; by (list.induct_tac "xs" 1); -by (ALLGOALS(asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed "mset_append"; goal Sorting.thy "!x. mset [x:xs. ~p(x)] x + mset [x:xs. p(x)] x = \ \ mset xs x"; by (list.induct_tac "xs" 1); -by (ALLGOALS(asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); qed "mset_compl_add"; Addsimps [mset_append, mset_compl_add]; goal Sorting.thy "set xs = {x. mset xs x ~= 0}"; by (list.induct_tac "xs" 1); -by (ALLGOALS(asm_simp_tac (simpset() addsplits [expand_if]))); +by (ALLGOALS Asm_simp_tac); by (Fast_tac 1); qed "set_via_mset"; diff -r 9259feeeb2c8 -r 74a12e86b20b src/HOL/ex/set.ML --- a/src/HOL/ex/set.ML Fri Mar 06 18:25:28 1998 +0100 +++ b/src/HOL/ex/set.ML Sat Mar 07 16:29:29 1998 +0100 @@ -81,7 +81,7 @@ goalw Lfp.thy [image_def] "range(%z. if z:X then f(z) else g(z)) = f``X Un g``Compl(X)"; -by (simp_tac (simpset() addsplits [expand_if]) 1); +by (Simp_tac 1); by (Blast_tac 1); qed "range_if_then_else";