author  wenzelm 
Fri, 16 May 2008 21:53:30 +0200  
changeset 26924  485213276a2a 
parent 26712  e2dcda7b0401 
child 26940  80df961f7900 
permissions  rwrr 
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(* Title: Tools/induct.ML 
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ID: $Id$ 
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Author: Markus Wenzel, TU Muenchen 
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26924  5 
Proof by cases, induction, and coinduction. 
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*) 
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signature INDUCT_DATA = 
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sig 
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val cases_default: thm 
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val atomize: thm list 
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val rulify: thm list 
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val rulify_fallback: thm list 
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end; 
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signature INDUCT = 
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sig 
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(*rule declarations*) 
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val vars_of: term > term list 
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val dest_rules: Proof.context > 
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{type_cases: (string * thm) list, pred_cases: (string * thm) list, 
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type_induct: (string * thm) list, pred_induct: (string * thm) list, 
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type_coinduct: (string * thm) list, pred_coinduct: (string * thm) list} 
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val print_rules: Proof.context > unit 
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val lookup_casesT: Proof.context > string > thm option 
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val lookup_casesP: Proof.context > string > thm option 
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val lookup_inductT: Proof.context > string > thm option 
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val lookup_inductP: Proof.context > string > thm option 
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val lookup_coinductT: Proof.context > string > thm option 
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val lookup_coinductP: Proof.context > string > thm option 
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val find_casesT: Proof.context > typ > thm list 
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val find_casesP: Proof.context > term > thm list 
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val find_inductT: Proof.context > typ > thm list 
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val find_inductP: Proof.context > term > thm list 
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val find_coinductT: Proof.context > typ > thm list 
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val find_coinductP: Proof.context > term > thm list 
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val cases_type: string > attribute 
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val cases_pred: string > attribute 
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val induct_type: string > attribute 
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val induct_pred: string > attribute 
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val coinduct_type: string > attribute 
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val coinduct_pred: string > attribute 
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val casesN: string 
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val inductN: string 
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val coinductN: string 
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val typeN: string 
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val predN: string 
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val setN: string 
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(*proof methods*) 
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val fix_tac: Proof.context > int > (string * typ) list > int > tactic 
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val add_defs: (string option * term) option list > Proof.context > 
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(term option list * thm list) * Proof.context 
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val atomize_term: theory > term > term 
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val atomize_tac: int > tactic 
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val inner_atomize_tac: int > tactic 
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val rulified_term: thm > theory * term 
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val rulify_tac: int > tactic 
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val internalize: int > thm > thm 
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val guess_instance: thm > int > thm > thm Seq.seq 
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val cases_tac: Proof.context > term option list list > thm option > 
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thm list > int > cases_tactic 
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val induct_tac: Proof.context > (string option * term) option list list > 
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(string * typ) list list > term option list > thm list option > 

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thm list > int > cases_tactic 

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val coinduct_tac: Proof.context > term option list > term option list > thm option > 

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thm list > int > cases_tactic 

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val setup: theory > theory 
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end; 
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functor InductFun(Data: INDUCT_DATA): INDUCT = 
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struct 
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(** misc utils **) 
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(* encode_type  for indexing purposes *) 
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fun encode_type (Type (c, Ts)) = Term.list_comb (Const (c, dummyT), map encode_type Ts) 
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 encode_type (TFree (a, _)) = Free (a, dummyT) 
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 encode_type (TVar (a, _)) = Var (a, dummyT); 
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(* variables  ordered lefttoright, preferring right *) 
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fun vars_of tm = 
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rev (distinct (op =) (Term.fold_aterms (fn (t as Var _) => cons t  _ => I) tm [])); 
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local 
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val mk_var = encode_type o #2 o Term.dest_Var; 
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fun concl_var which thm = mk_var (which (vars_of (Thm.concl_of thm))) handle Empty => 
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raise THM ("No variables in conclusion of rule", 0, [thm]); 
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in 
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fun left_var_prem thm = mk_var (hd (vars_of (hd (Thm.prems_of thm)))) handle Empty => 
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raise THM ("No variables in major premise of rule", 0, [thm]); 
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val left_var_concl = concl_var hd; 
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val right_var_concl = concl_var List.last; 
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end; 
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(** induct data **) 
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(* rules *) 
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type rules = (string * thm) NetRules.T; 
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val init_rules = 
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NetRules.init (fn ((s1: string, th1), (s2, th2)) => s1 = s2 andalso 
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Thm.eq_thm_prop (th1, th2)); 
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fun lookup_rule (rs: rules) = AList.lookup (op =) (NetRules.rules rs); 
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118 

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fun pretty_rules ctxt kind rs = 
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let val thms = map snd (NetRules.rules rs) 
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in Pretty.big_list kind (map (ProofContext.pretty_thm ctxt) thms) end; 
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122 

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123 

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(* context data *) 
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125 

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structure Induct = GenericDataFun 
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( 
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type T = (rules * rules) * (rules * rules) * (rules * rules); 
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val empty = 
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((init_rules (left_var_prem o #2), init_rules (Thm.major_prem_of o #2)), 
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(init_rules (right_var_concl o #2), init_rules (Thm.major_prem_of o #2)), 
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(init_rules (left_var_concl o #2), init_rules (Thm.concl_of o #2))); 
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val extend = I; 
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fun merge _ (((casesT1, casesP1), (inductT1, inductP1), (coinductT1, coinductP1)), 
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((casesT2, casesP2), (inductT2, inductP2), (coinductT2, coinductP2))) = 
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((NetRules.merge (casesT1, casesT2), NetRules.merge (casesP1, casesP2)), 
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(NetRules.merge (inductT1, inductT2), NetRules.merge (inductP1, inductP2)), 
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(NetRules.merge (coinductT1, coinductT2), NetRules.merge (coinductP1, coinductP2))); 
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); 
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140 

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val get_local = Induct.get o Context.Proof; 
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142 

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fun dest_rules ctxt = 
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let val ((casesT, casesP), (inductT, inductP), (coinductT, coinductP)) = get_local ctxt in 
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{type_cases = NetRules.rules casesT, 
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pred_cases = NetRules.rules casesP, 
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type_induct = NetRules.rules inductT, 
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pred_induct = NetRules.rules inductP, 
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type_coinduct = NetRules.rules coinductT, 
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pred_coinduct = NetRules.rules coinductP} 
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end; 
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152 

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fun print_rules ctxt = 
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let val ((casesT, casesP), (inductT, inductP), (coinductT, coinductP)) = get_local ctxt in 
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[pretty_rules ctxt "coinduct type:" coinductT, 
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pretty_rules ctxt "coinduct pred:" coinductP, 
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pretty_rules ctxt "induct type:" inductT, 
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pretty_rules ctxt "induct pred:" inductP, 
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pretty_rules ctxt "cases type:" casesT, 
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pretty_rules ctxt "cases pred:" casesP] 
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> Pretty.chunks > Pretty.writeln 
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end; 
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24867  164 
val _ = 
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OuterSyntax.improper_command "print_induct_rules" "print induction and cases rules" 
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OuterKeyword.diag (Scan.succeed (Toplevel.no_timing o Toplevel.unknown_context o 
24867  167 
Toplevel.keep (print_rules o Toplevel.context_of))); 
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168 

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169 

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(* access rules *) 
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171 

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val lookup_casesT = lookup_rule o #1 o #1 o get_local; 
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val lookup_casesP = lookup_rule o #2 o #1 o get_local; 
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val lookup_inductT = lookup_rule o #1 o #2 o get_local; 
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val lookup_inductP = lookup_rule o #2 o #2 o get_local; 
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val lookup_coinductT = lookup_rule o #1 o #3 o get_local; 
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val lookup_coinductP = lookup_rule o #2 o #3 o get_local; 
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179 

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fun find_rules which how ctxt x = 
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map snd (NetRules.retrieve (which (get_local ctxt)) (how x)); 
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182 

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val find_casesT = find_rules (#1 o #1) encode_type; 
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val find_casesP = find_rules (#2 o #1) I; 
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val find_inductT = find_rules (#1 o #2) encode_type; 
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val find_inductP = find_rules (#2 o #2) I; 
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val find_coinductT = find_rules (#1 o #3) encode_type; 
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val find_coinductP = find_rules (#2 o #3) I; 
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189 

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190 

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191 

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(** attributes **) 
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193 

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local 
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195 

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fun mk_att f g name arg = 
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let val (x, thm) = g arg in (Induct.map (f (name, thm)) x, thm) end; 
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198 

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fun map1 f (x, y, z) = (f x, y, z); 
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fun map2 f (x, y, z) = (x, f y, z); 
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fun map3 f (x, y, z) = (x, y, f z); 
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202 

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fun add_casesT rule x = map1 (apfst (NetRules.insert rule)) x; 
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fun add_casesP rule x = map1 (apsnd (NetRules.insert rule)) x; 
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fun add_inductT rule x = map2 (apfst (NetRules.insert rule)) x; 
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fun add_inductP rule x = map2 (apsnd (NetRules.insert rule)) x; 
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fun add_coinductT rule x = map3 (apfst (NetRules.insert rule)) x; 
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fun add_coinductP rule x = map3 (apsnd (NetRules.insert rule)) x; 
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209 

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fun consumes0 x = RuleCases.consumes_default 0 x; 
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fun consumes1 x = RuleCases.consumes_default 1 x; 
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212 

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213 
in 
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val cases_type = mk_att add_casesT consumes0; 
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val cases_pred = mk_att add_casesP consumes1; 
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val induct_type = mk_att add_inductT consumes0; 
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val induct_pred = mk_att add_inductP consumes1; 
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val coinduct_type = mk_att add_coinductT consumes0; 
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val coinduct_pred = mk_att add_coinductP consumes1; 
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221 

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end; 
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223 

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224 

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225 

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(** attribute syntax **) 
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val casesN = "cases"; 
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val inductN = "induct"; 
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val coinductN = "coinduct"; 
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val typeN = "type"; 
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val predN = "pred"; 
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val setN = "set"; 
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235 

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local 
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237 

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fun spec k arg = 
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Scan.lift (Args.$$$ k  Args.colon)  arg  
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Scan.lift (Args.$$$ k) >> K ""; 
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241 

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fun attrib add_type add_pred = Attrib.syntax 
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(spec typeN Args.tyname >> add_type  
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spec predN Args.const >> add_pred  
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spec setN Args.const >> add_pred); 
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val cases_att = attrib cases_type cases_pred; 
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val induct_att = attrib induct_type induct_pred; 
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val coinduct_att = attrib coinduct_type coinduct_pred; 
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in 
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252 

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val attrib_setup = Attrib.add_attributes 
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[(casesN, cases_att, "declaration of cases rule for type or predicate/set"), 
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(inductN, induct_att, "declaration of induction rule for type or predicate/set"), 
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(coinductN, coinduct_att, "declaration of coinduction rule for type or predicate/set")]; 
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end; 
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259 

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260 

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261 

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(** method utils **) 
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263 

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(* alignment *) 
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265 

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fun align_left msg xs ys = 
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let val m = length xs and n = length ys 
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in if m < n then error msg else (Library.take (n, xs) ~~ ys) end; 
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269 

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fun align_right msg xs ys = 
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let val m = length xs and n = length ys 
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in if m < n then error msg else (Library.drop (m  n, xs) ~~ ys) end; 
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273 

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274 

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(* prep_inst *) 
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276 

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fun prep_inst thy align tune (tm, ts) = 
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let 
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val cert = Thm.cterm_of thy; 
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fun prep_var (x, SOME t) = 
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let 
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val cx = cert x; 
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val xT = #T (Thm.rep_cterm cx); 
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val ct = cert (tune t); 
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val tT = Thm.ctyp_of_term ct; 
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286 
in 
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if Type.could_unify (Thm.typ_of tT, xT) then SOME (cx, ct) 
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else error (Pretty.string_of (Pretty.block 
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[Pretty.str "Illtyped instantiation:", Pretty.fbrk, 
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Display.pretty_cterm ct, Pretty.str " ::", Pretty.brk 1, 
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291 
Display.pretty_ctyp (#T (Thm.crep_cterm ct))])) 
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292 
end 
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 prep_var (_, NONE) = NONE; 
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294 
val xs = vars_of tm; 
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295 
in 
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296 
align "Rule has fewer variables than instantiations given" xs ts 
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297 
> map_filter prep_var 
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298 
end; 
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299 

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300 

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301 
(* trace_rules *) 
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302 

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303 
fun trace_rules _ kind [] = error ("Unable to figure out " ^ kind ^ " rule") 
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 trace_rules ctxt _ rules = Method.trace ctxt rules; 
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305 

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306 

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307 

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308 
(** cases method **) 
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309 

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310 
(* 
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311 
rule selection scheme: 
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312 
cases  default case split 
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313 
`A t` cases ...  predicate/set cases 
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314 
cases t  type cases 
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315 
... cases ... r  explicit rule 
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316 
*) 
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317 

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318 
local 
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319 

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320 
fun get_casesT ctxt ((SOME t :: _) :: _) = find_casesT ctxt (Term.fastype_of t) 
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321 
 get_casesT _ _ = []; 
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322 

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323 
fun get_casesP ctxt (fact :: _) = find_casesP ctxt (Thm.concl_of fact) 
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324 
 get_casesP _ _ = []; 
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325 

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326 
in 
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327 

26924  328 
fun cases_tac ctxt insts opt_rule facts = 
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329 
let 
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330 
val thy = ProofContext.theory_of ctxt; 
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331 
val cert = Thm.cterm_of thy; 
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332 

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333 
fun inst_rule r = 
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334 
if null insts then `RuleCases.get r 
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335 
else (align_left "Rule has fewer premises than arguments given" (Thm.prems_of r) insts 
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336 
> maps (prep_inst thy align_left I) 
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337 
> Drule.cterm_instantiate) r > pair (RuleCases.get r); 
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338 

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339 
val ruleq = 
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340 
(case opt_rule of 
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341 
SOME r => Seq.single (inst_rule r) 
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342 
 NONE => 
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343 
(get_casesP ctxt facts @ get_casesT ctxt insts @ [Data.cases_default]) 
24830
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moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

344 
> tap (trace_rules ctxt casesN) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

345 
> Seq.of_list > Seq.maps (Seq.try inst_rule)); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

346 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

347 
fn i => fn st => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

348 
ruleq 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

349 
> Seq.maps (RuleCases.consume [] facts) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

350 
> Seq.maps (fn ((cases, (_, more_facts)), rule) => 
26924  351 
CASES (RuleCases.make_common false (thy, Thm.prop_of rule) cases) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

352 
(Method.insert_tac more_facts i THEN Tactic.rtac rule i) st) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

353 
end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

354 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

355 
end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

356 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

357 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

358 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

359 
(** induct method **) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

360 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

361 
val conjunction_congs = [@{thm Pure.all_conjunction}, @{thm imp_conjunction}]; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

362 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

363 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

364 
(* atomize *) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

365 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

366 
fun atomize_term thy = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

367 
MetaSimplifier.rewrite_term thy Data.atomize [] 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

368 
#> ObjectLogic.drop_judgment thy; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

369 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

370 
val atomize_cterm = MetaSimplifier.rewrite true Data.atomize; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

371 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

372 
val atomize_tac = Simplifier.rewrite_goal_tac Data.atomize; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

373 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

374 
val inner_atomize_tac = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

375 
Simplifier.rewrite_goal_tac (map Thm.symmetric conjunction_congs) THEN' atomize_tac; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

376 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

377 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

378 
(* rulify *) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

379 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

380 
fun rulify_term thy = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

381 
MetaSimplifier.rewrite_term thy (Data.rulify @ conjunction_congs) [] #> 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

382 
MetaSimplifier.rewrite_term thy Data.rulify_fallback []; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

383 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

384 
fun rulified_term thm = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

385 
let 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

386 
val thy = Thm.theory_of_thm thm; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

387 
val rulify = rulify_term thy; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

388 
val (As, B) = Logic.strip_horn (Thm.prop_of thm); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

389 
in (thy, Logic.list_implies (map rulify As, rulify B)) end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

390 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

391 
val rulify_tac = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

392 
Simplifier.rewrite_goal_tac (Data.rulify @ conjunction_congs) THEN' 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

393 
Simplifier.rewrite_goal_tac Data.rulify_fallback THEN' 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

394 
Goal.conjunction_tac THEN_ALL_NEW 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

395 
(Simplifier.rewrite_goal_tac [@{thm Pure.conjunction_imp}] THEN' Goal.norm_hhf_tac); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

396 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

397 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

398 
(* prepare rule *) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

399 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

400 
fun rule_instance thy inst rule = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

401 
Drule.cterm_instantiate (prep_inst thy align_left I (Thm.prop_of rule, inst)) rule; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

402 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

403 
fun internalize k th = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

404 
th > Thm.permute_prems 0 k 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

405 
> Conv.fconv_rule (Conv.concl_conv (Thm.nprems_of th  k) atomize_cterm); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

406 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

407 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

408 
(* guess rule instantiation  cannot handle pending goal parameters *) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

409 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

410 
local 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

411 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

412 
fun dest_env thy (env as Envir.Envir {iTs, ...}) = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

413 
let 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

414 
val cert = Thm.cterm_of thy; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

415 
val certT = Thm.ctyp_of thy; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

416 
val pairs = Envir.alist_of env; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

417 
val ts = map (cert o Envir.norm_term env o #2 o #2) pairs; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

418 
val xs = map2 (curry (cert o Var)) (map #1 pairs) (map (#T o Thm.rep_cterm) ts); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

419 
in (map (fn (xi, (S, T)) => (certT (TVar (xi, S)), certT T)) (Vartab.dest iTs), xs ~~ ts) end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

420 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

421 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

422 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

423 
fun guess_instance rule i st = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

424 
let 
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26568
diff
changeset

425 
val thy = Thm.theory_of_thm st; 
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26568
diff
changeset

426 
val maxidx = Thm.maxidx_of st; 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

427 
val goal = Thm.term_of (Thm.cprem_of st i); (*exception Subscript*) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

428 
val params = rev (rename_wrt_term goal (Logic.strip_params goal)); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

429 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

430 
if not (null params) then 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

431 
(warning ("Cannot determine rule instantiation due to pending parameter(s): " ^ 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

432 
commas_quote (map (Sign.string_of_term thy o Syntax.mark_boundT) params)); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

433 
Seq.single rule) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

434 
else 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

435 
let 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

436 
val rule' = Thm.incr_indexes (maxidx + 1) rule; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

437 
val concl = Logic.strip_assums_concl goal; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

438 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

439 
Unify.smash_unifiers thy [(Thm.concl_of rule', concl)] 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

440 
(Envir.empty (#maxidx (Thm.rep_thm rule'))) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

441 
> Seq.map (fn env => Drule.instantiate (dest_env thy env) rule') 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

442 
end 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

443 
end handle Subscript => Seq.empty; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

444 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

445 
end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

446 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

447 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

448 
(* special renaming of rule parameters *) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

449 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

450 
fun special_rename_params ctxt [[SOME (Free (z, Type (T, _)))]] [thm] = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

451 
let 
26712
e2dcda7b0401
adapted to ProofContext.revert_skolem: extra Name.clean required;
wenzelm
parents:
26626
diff
changeset

452 
val x = Name.clean (ProofContext.revert_skolem ctxt z); 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

453 
fun index i [] = [] 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

454 
 index i (y :: ys) = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

455 
if x = y then x ^ string_of_int i :: index (i + 1) ys 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

456 
else y :: index i ys; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

457 
fun rename_params [] = [] 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

458 
 rename_params ((y, Type (U, _)) :: ys) = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

459 
(if U = T then x else y) :: rename_params ys 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

460 
 rename_params ((y, _) :: ys) = y :: rename_params ys; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

461 
fun rename_asm A = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

462 
let 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

463 
val xs = rename_params (Logic.strip_params A); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

464 
val xs' = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

465 
(case List.filter (equal x) xs of 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

466 
[] => xs  [_] => xs  _ => index 1 xs); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

467 
in Logic.list_rename_params (xs', A) end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

468 
fun rename_prop p = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

469 
let val (As, C) = Logic.strip_horn p 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

470 
in Logic.list_implies (map rename_asm As, C) end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

471 
val cp' = cterm_fun rename_prop (Thm.cprop_of thm); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

472 
val thm' = Thm.equal_elim (Thm.reflexive cp') thm; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

473 
in [RuleCases.save thm thm'] end 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

474 
 special_rename_params _ _ ths = ths; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

475 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

476 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

477 
(* fix_tac *) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

478 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

479 
local 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

480 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

481 
fun goal_prefix k ((c as Const ("all", _)) $ Abs (a, T, B)) = c $ Abs (a, T, goal_prefix k B) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

482 
 goal_prefix 0 _ = Term.dummy_pattern propT 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

483 
 goal_prefix k ((c as Const ("==>", _)) $ A $ B) = c $ A $ goal_prefix (k  1) B 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

484 
 goal_prefix _ _ = Term.dummy_pattern propT; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

485 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

486 
fun goal_params k (Const ("all", _) $ Abs (_, _, B)) = goal_params k B + 1 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

487 
 goal_params 0 _ = 0 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

488 
 goal_params k (Const ("==>", _) $ _ $ B) = goal_params (k  1) B 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

489 
 goal_params _ _ = 0; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

490 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

491 
fun meta_spec_tac ctxt n (x, T) = SUBGOAL (fn (goal, i) => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

492 
let 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

493 
val thy = ProofContext.theory_of ctxt; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

494 
val cert = Thm.cterm_of thy; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

495 
val certT = Thm.ctyp_of thy; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

496 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

497 
val v = Free (x, T); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

498 
fun spec_rule prfx (xs, body) = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

499 
@{thm Pure.meta_spec} 
26712
e2dcda7b0401
adapted to ProofContext.revert_skolem: extra Name.clean required;
wenzelm
parents:
26626
diff
changeset

500 
> Thm.rename_params_rule ([Name.clean (ProofContext.revert_skolem ctxt x)], 1) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

501 
> Thm.lift_rule (cert prfx) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

502 
> `(Thm.prop_of #> Logic.strip_assums_concl) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

503 
> (fn pred $ arg => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

504 
Drule.cterm_instantiate 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

505 
[(cert (Term.head_of pred), cert (Logic.rlist_abs (xs, body))), 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

506 
(cert (Term.head_of arg), cert (Logic.rlist_abs (xs, v)))]); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

507 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

508 
fun goal_concl k xs (Const ("all", _) $ Abs (a, T, B)) = goal_concl k ((a, T) :: xs) B 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

509 
 goal_concl 0 xs B = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

510 
if not (Term.exists_subterm (fn t => t aconv v) B) then NONE 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

511 
else SOME (xs, Term.absfree (x, T, Term.incr_boundvars 1 B)) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

512 
 goal_concl k xs (Const ("==>", _) $ _ $ B) = goal_concl (k  1) xs B 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

513 
 goal_concl _ _ _ = NONE; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

514 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

515 
(case goal_concl n [] goal of 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

516 
SOME concl => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

517 
(compose_tac (false, spec_rule (goal_prefix n goal) concl, 1) THEN' rtac asm_rl) i 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

518 
 NONE => all_tac) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

519 
end); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

520 

24832  521 
fun miniscope_tac p = CONVERSION o 
26568  522 
Conv.params_conv p (K (MetaSimplifier.rewrite true [Thm.symmetric Drule.norm_hhf_eq])); 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

523 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

524 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

525 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

526 
fun fix_tac _ _ [] = K all_tac 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

527 
 fix_tac ctxt n xs = SUBGOAL (fn (goal, i) => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

528 
(EVERY' (map (meta_spec_tac ctxt n) xs) THEN' 
24832  529 
(miniscope_tac (goal_params n goal) ctxt)) i); 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

530 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

531 
end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

532 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

533 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

534 
(* add_defs *) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

535 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

536 
fun add_defs def_insts = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

537 
let 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

538 
fun add (SOME (SOME x, t)) ctxt = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

539 
let val ([(lhs, (_, th))], ctxt') = LocalDefs.add_defs [((x, NoSyn), (("", []), t))] ctxt 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

540 
in ((SOME lhs, [th]), ctxt') end 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

541 
 add (SOME (NONE, t)) ctxt = ((SOME t, []), ctxt) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

542 
 add NONE ctxt = ((NONE, []), ctxt); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

543 
in fold_map add def_insts #> apfst (split_list #> apsnd flat) end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

544 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

545 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

546 
(* induct_tac *) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

547 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

548 
(* 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

549 
rule selection scheme: 
24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

550 
`A x` induct ...  predicate/set induction 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

551 
induct x  type induction 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

552 
... induct ... r  explicit rule 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

553 
*) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

554 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

555 
local 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

556 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

557 
fun get_inductT ctxt insts = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

558 
fold_rev multiply (insts > map_filter (fn [] => NONE  ts => List.last ts) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

559 
> map (find_inductT ctxt o Term.fastype_of)) [[]] 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

560 
> filter_out (forall PureThy.is_internal); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

561 

24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

562 
fun get_inductP ctxt (fact :: _) = map single (find_inductP ctxt (Thm.concl_of fact)) 
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

563 
 get_inductP _ _ = []; 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

564 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

565 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

566 

26924  567 
fun induct_tac ctxt def_insts arbitrary taking opt_rule facts = 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

568 
let 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

569 
val thy = ProofContext.theory_of ctxt; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

570 
val cert = Thm.cterm_of thy; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

571 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

572 
val ((insts, defs), defs_ctxt) = fold_map add_defs def_insts ctxt >> split_list; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

573 
val atomized_defs = map (map (Conv.fconv_rule ObjectLogic.atomize)) defs; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

574 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

575 
fun inst_rule (concls, r) = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

576 
(if null insts then `RuleCases.get r 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

577 
else (align_left "Rule has fewer conclusions than arguments given" 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

578 
(map Logic.strip_imp_concl (Logic.dest_conjunctions (Thm.concl_of r))) insts 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

579 
> maps (prep_inst thy align_right (atomize_term thy)) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

580 
> Drule.cterm_instantiate) r > pair (RuleCases.get r)) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

581 
> (fn ((cases, consumes), th) => (((cases, concls), consumes), th)); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

582 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

583 
val ruleq = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

584 
(case opt_rule of 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

585 
SOME rs => Seq.single (inst_rule (RuleCases.strict_mutual_rule ctxt rs)) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

586 
 NONE => 
24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

587 
(get_inductP ctxt facts @ 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

588 
map (special_rename_params defs_ctxt insts) (get_inductT ctxt insts)) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

589 
> map_filter (RuleCases.mutual_rule ctxt) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

590 
> tap (trace_rules ctxt inductN o map #2) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

591 
> Seq.of_list > Seq.maps (Seq.try inst_rule)); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

592 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

593 
fun rule_cases rule = 
26924  594 
RuleCases.make_nested false (Thm.prop_of rule) (rulified_term rule); 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

595 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

596 
(fn i => fn st => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

597 
ruleq 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

598 
> Seq.maps (RuleCases.consume (flat defs) facts) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

599 
> Seq.maps (fn (((cases, concls), (more_consumes, more_facts)), rule) => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

600 
(PRECISE_CONJUNCTS (length concls) (ALLGOALS (fn j => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

601 
(CONJUNCTS (ALLGOALS 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

602 
(Method.insert_tac (more_facts @ nth_list atomized_defs (j  1)) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

603 
THEN' fix_tac defs_ctxt 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

604 
(nth concls (j  1) + more_consumes) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

605 
(nth_list arbitrary (j  1)))) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

606 
THEN' inner_atomize_tac) j)) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

607 
THEN' atomize_tac) i st > Seq.maps (fn st' => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

608 
guess_instance (internalize more_consumes rule) i st' 
24865  609 
> Seq.map (rule_instance thy (burrow_options (Variable.polymorphic ctxt) taking)) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

610 
> Seq.maps (fn rule' => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

611 
CASES (rule_cases rule' cases) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

612 
(Tactic.rtac rule' i THEN 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

613 
PRIMITIVE (singleton (ProofContext.export defs_ctxt ctxt))) st')))) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

614 
THEN_ALL_NEW_CASES rulify_tac 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

615 
end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

616 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

617 
end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

618 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

619 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

620 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

621 
(** coinduct method **) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

622 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

623 
(* 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

624 
rule selection scheme: 
24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

625 
goal "A x" coinduct ...  predicate/set coinduction 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

626 
coinduct x  type coinduction 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

627 
coinduct ... r  explicit rule 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

628 
*) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

629 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

630 
local 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

631 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

632 
fun get_coinductT ctxt (SOME t :: _) = find_coinductT ctxt (Term.fastype_of t) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

633 
 get_coinductT _ _ = []; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

634 

24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

635 
fun get_coinductP ctxt goal = find_coinductP ctxt (Logic.strip_assums_concl goal); 
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

636 

cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

637 
fun main_prop_of th = 
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

638 
if RuleCases.get_consumes th > 0 then Thm.major_prem_of th else Thm.concl_of th; 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

639 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

640 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

641 

26924  642 
fun coinduct_tac ctxt inst taking opt_rule facts = 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

643 
let 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

644 
val thy = ProofContext.theory_of ctxt; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

645 
val cert = Thm.cterm_of thy; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

646 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

647 
fun inst_rule r = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

648 
if null inst then `RuleCases.get r 
24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

649 
else Drule.cterm_instantiate (prep_inst thy align_right I (main_prop_of r, inst)) r 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

650 
> pair (RuleCases.get r); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

651 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

652 
fun ruleq goal = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

653 
(case opt_rule of 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

654 
SOME r => Seq.single (inst_rule r) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

655 
 NONE => 
24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

656 
(get_coinductP ctxt goal @ get_coinductT ctxt inst) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

657 
> tap (trace_rules ctxt coinductN) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

658 
> Seq.of_list > Seq.maps (Seq.try inst_rule)); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

659 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

660 
SUBGOAL_CASES (fn (goal, i) => fn st => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

661 
ruleq goal 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

662 
> Seq.maps (RuleCases.consume [] facts) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

663 
> Seq.maps (fn ((cases, (_, more_facts)), rule) => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

664 
guess_instance rule i st 
24865  665 
> Seq.map (rule_instance thy (burrow_options (Variable.polymorphic ctxt) taking)) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

666 
> Seq.maps (fn rule' => 
26924  667 
CASES (RuleCases.make_common false (thy, Thm.prop_of rule') cases) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

668 
(Method.insert_tac more_facts i THEN Tactic.rtac rule' i) st))) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

669 
end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

670 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

671 
end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

672 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

673 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

674 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

675 
(** concrete syntax **) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

676 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

677 
val arbitraryN = "arbitrary"; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

678 
val takingN = "taking"; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

679 
val ruleN = "rule"; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

680 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

681 
local 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

682 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

683 
fun single_rule [rule] = rule 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

684 
 single_rule _ = error "Single rule expected"; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

685 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

686 
fun named_rule k arg get = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

687 
Scan.lift (Args.$$$ k  Args.colon)  Scan.repeat arg : 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

688 
(fn names => Scan.peek (fn context => Scan.succeed (names > map (fn name => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

689 
(case get (Context.proof_of context) name of SOME x => x 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

690 
 NONE => error ("No rule for " ^ k ^ " " ^ quote name)))))); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

691 

24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

692 
fun rule get_type get_pred = 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

693 
named_rule typeN Args.tyname get_type  
24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

694 
named_rule predN Args.const get_pred  
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

695 
named_rule setN Args.const get_pred  
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

696 
Scan.lift (Args.$$$ ruleN  Args.colon)  Attrib.thms; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

697 

24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

698 
val cases_rule = rule lookup_casesT lookup_casesP >> single_rule; 
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

699 
val induct_rule = rule lookup_inductT lookup_inductP; 
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

700 
val coinduct_rule = rule lookup_coinductT lookup_coinductP >> single_rule; 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

701 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

702 
val inst = Scan.lift (Args.$$$ "_") >> K NONE  Args.term >> SOME; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

703 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

704 
val def_inst = 
25985  705 
((Scan.lift (Args.name  (Args.$$$ "\<equiv>"  Args.$$$ "==")) >> SOME) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

706 
 Args.term) >> SOME  
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

707 
inst >> Option.map (pair NONE); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

708 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

709 
val free = Scan.state  Args.term >> (fn (_, Free v) => v  (context, t) => 
24920  710 
error ("Bad free variable: " ^ Syntax.string_of_term (Context.proof_of context) t)); 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

711 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

712 
fun unless_more_args scan = Scan.unless (Scan.lift 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

713 
((Args.$$$ arbitraryN  Args.$$$ takingN  Args.$$$ typeN  
24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

714 
Args.$$$ predN  Args.$$$ setN  Args.$$$ ruleN)  Args.colon)) scan; 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

715 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

716 
val arbitrary = Scan.optional (Scan.lift (Args.$$$ arbitraryN  Args.colon)  
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

717 
Args.and_list1 (Scan.repeat (unless_more_args free))) []; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

718 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

719 
val taking = Scan.optional (Scan.lift (Args.$$$ takingN  Args.colon)  
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

720 
Scan.repeat1 (unless_more_args inst)) []; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

721 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

722 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

723 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

724 
fun cases_meth src = 
26924  725 
Method.syntax (Args.and_list (Scan.repeat (unless_more_args inst))  Scan.option cases_rule) src 
726 
#> (fn ((insts, opt_rule), ctxt) => 

24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

727 
Method.METHOD_CASES (fn facts => 
26924  728 
Seq.DETERM (HEADGOAL (cases_tac ctxt insts opt_rule facts)))); 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

729 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

730 
fun induct_meth src = 
26924  731 
Method.syntax (Args.and_list (Scan.repeat (unless_more_args def_inst))  
732 
(arbitrary  taking  Scan.option induct_rule)) src 

733 
#> (fn ((insts, ((arbitrary, taking), opt_rule)), ctxt) => 

24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

734 
Method.RAW_METHOD_CASES (fn facts => 
26924  735 
Seq.DETERM (HEADGOAL (induct_tac ctxt insts arbitrary taking opt_rule facts)))); 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

736 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

737 
fun coinduct_meth src = 
26924  738 
Method.syntax (Scan.repeat (unless_more_args inst)  taking  Scan.option coinduct_rule) src 
739 
#> (fn (((insts, taking), opt_rule), ctxt) => 

24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

740 
Method.RAW_METHOD_CASES (fn facts => 
26924  741 
Seq.DETERM (HEADGOAL (coinduct_tac ctxt insts taking opt_rule facts)))); 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

742 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

743 
end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

744 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

745 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

746 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

747 
(** theory setup **) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

748 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

749 
val setup = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

750 
attrib_setup #> 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

751 
Method.add_methods 
24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

752 
[(casesN, cases_meth, "case analysis on types or predicates/sets"), 
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

753 
(inductN, induct_meth, "induction on types or predicates/sets"), 
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

754 
(coinductN, coinduct_meth, "coinduction on types or predicates/sets")]; 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

755 

a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

756 
end; 