author  wenzelm 
Wed, 03 Nov 2010 21:53:56 +0100  
changeset 40335  3e4bb6e7c3ca 
parent 38715  6513ea67d95d 
child 41228  e1fce873b814 
permissions  rwrr 
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(* Title: Tools/induct.ML 
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Author: Markus Wenzel, TU Muenchen 
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26924  4 
Proof by cases, induction, and coinduction. 
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*) 
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37524  7 
signature INDUCT_ARGS = 
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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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val equal_def: thm 
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val dest_def: term > (term * term) option 
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val trivial_tac: int > tactic 
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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 cases_del: attribute 
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val induct_type: string > attribute 
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val induct_pred: string > attribute 
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val induct_del: attribute 
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val coinduct_type: string > attribute 
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val coinduct_pred: string > attribute 
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val coinduct_del: attribute 
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val map_simpset: (simpset > simpset) > Context.generic > Context.generic 
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val induct_simp_add: attribute 
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val induct_simp_del: attribute 
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val no_simpN: string 
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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: (binding option * (term * bool)) 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_cterm: conv 
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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 simplified_rule: Proof.context > thm > thm 
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val simplify_tac: Proof.context > int > tactic 
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val trivial_tac: int > tactic 
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val rotate_tac: int > int > int > tactic 
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val internalize: int > thm > thm 
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val guess_instance: Proof.context > thm > int > thm > thm Seq.seq 
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val cases_tac: Proof.context > bool > term option list list > thm option > 
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thm list > int > cases_tactic 
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val get_inductT: Proof.context > term option list list > thm list list 
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val induct_tac: Proof.context > bool > (binding option * (term * bool)) 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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37524  85 
functor Induct(Induct_Args: INDUCT_ARGS): INDUCT = 
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struct 
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37523  88 
(** 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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37523  95 
val mk_var = Net.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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(** constraint simplification **) 
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(* rearrange parameters and premises to allow application of onepointrules *) 
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fun swap_params_conv ctxt i j cv = 
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let 
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fun conv1 0 ctxt = Conv.forall_conv (cv o snd) ctxt 
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 conv1 k ctxt = 
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Conv.rewr_conv @{thm swap_params} then_conv 
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Conv.forall_conv (conv1 (k  1) o snd) ctxt 
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fun conv2 0 ctxt = conv1 j ctxt 
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 conv2 k ctxt = Conv.forall_conv (conv2 (k  1) o snd) ctxt 
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in conv2 i ctxt end; 
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fun swap_prems_conv 0 = Conv.all_conv 
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 swap_prems_conv i = 
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Conv.implies_concl_conv (swap_prems_conv (i  1)) then_conv 
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Conv.rewr_conv Drule.swap_prems_eq 
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35625  131 
fun drop_judgment ctxt = Object_Logic.drop_judgment (ProofContext.theory_of ctxt); 
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fun find_eq ctxt t = 
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let 
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val l = length (Logic.strip_params t); 
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val Hs = Logic.strip_assums_hyp t; 
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fun find (i, t) = 
37525  138 
(case Induct_Args.dest_def (drop_judgment ctxt t) of 
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SOME (Bound j, _) => SOME (i, j) 
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 SOME (_, Bound j) => SOME (i, j) 
37525  141 
 _ => NONE); 
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in 
37525  143 
(case get_first find (map_index I Hs) of 
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NONE => NONE 
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 SOME (0, 0) => NONE 
37525  146 
 SOME (i, j) => SOME (i, l  j  1, j)) 
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end; 
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37525  149 
fun mk_swap_rrule ctxt ct = 
150 
(case find_eq ctxt (term_of ct) of 

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NONE => NONE 
37525  152 
 SOME (i, k, j) => SOME (swap_params_conv ctxt k j (K (swap_prems_conv i)) ct)); 
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37525  154 
val rearrange_eqs_simproc = 
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Simplifier.simproc_global 
37525  156 
(Thm.theory_of_thm Drule.swap_prems_eq) "rearrange_eqs" ["all t"] 
157 
(fn thy => fn ss => fn t => 

158 
mk_swap_rrule (Simplifier.the_context ss) (cterm_of thy t)); 

159 

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(* rotate k premises to the left by j, skipping over first j premises *) 
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fun rotate_conv 0 j 0 = Conv.all_conv 
37525  164 
 rotate_conv 0 j k = swap_prems_conv j then_conv rotate_conv 1 j (k  1) 
165 
 rotate_conv i j k = Conv.implies_concl_conv (rotate_conv (i  1) j k); 

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fun rotate_tac j 0 = K all_tac 
37525  168 
 rotate_tac j k = SUBGOAL (fn (goal, i) => 
169 
CONVERSION (rotate_conv 

170 
j (length (Logic.strip_assums_hyp goal)  j  k) k) i); 

171 

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(* rulify operators around definition *) 
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fun rulify_defs_conv ctxt ct = 
37524  176 
if exists_subterm (is_some o Induct_Args.dest_def) (term_of ct) andalso 
177 
not (is_some (Induct_Args.dest_def (drop_judgment ctxt (term_of ct)))) 

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then 
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(Conv.forall_conv (rulify_defs_conv o snd) ctxt else_conv 
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Conv.implies_conv (Conv.try_conv (rulify_defs_conv ctxt)) 
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(Conv.try_conv (rulify_defs_conv ctxt)) else_conv 
37524  182 
Conv.first_conv (map Conv.rewr_conv Induct_Args.rulify) then_conv 
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Conv.try_conv (rulify_defs_conv ctxt)) ct 
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else Conv.no_conv ct; 
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(** induct data **) 
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(* rules *) 
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30560  192 
type rules = (string * thm) Item_Net.T; 
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33373  194 
fun init_rules index : rules = 
195 
Item_Net.init 

196 
(fn ((s1, th1), (s2, th2)) => s1 = s2 andalso Thm.eq_thm_prop (th1, th2)) 

197 
(single o index); 

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27140  199 
fun filter_rules (rs: rules) th = 
30560  200 
filter (fn (_, th') => Thm.eq_thm_prop (th, th')) (Item_Net.content rs); 
27140  201 

30560  202 
fun lookup_rule (rs: rules) = AList.lookup (op =) (Item_Net.content rs); 
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fun pretty_rules ctxt kind rs = 
30560  205 
let val thms = map snd (Item_Net.content rs) 
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in Pretty.big_list kind (map (Display.pretty_thm ctxt) thms) end; 
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(* context data *) 
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37524  211 
structure Data = Generic_Data 
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( 
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type T = (rules * rules) * (rules * rules) * (rules * rules) * simpset; 
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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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empty_ss addsimprocs [rearrange_eqs_simproc] addsimps [Drule.norm_hhf_eq]); 
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val extend = I; 
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fun merge (((casesT1, casesP1), (inductT1, inductP1), (coinductT1, coinductP1), simpset1), 
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((casesT2, casesP2), (inductT2, inductP2), (coinductT2, coinductP2), simpset2)) = 
30560  222 
((Item_Net.merge (casesT1, casesT2), Item_Net.merge (casesP1, casesP2)), 
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(Item_Net.merge (inductT1, inductT2), Item_Net.merge (inductP1, inductP2)), 
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(Item_Net.merge (coinductT1, coinductT2), Item_Net.merge (coinductP1, coinductP2)), 
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merge_ss (simpset1, simpset2)); 
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); 
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37524  228 
val get_local = Data.get o Context.Proof; 
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fun dest_rules ctxt = 
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let val ((casesT, casesP), (inductT, inductP), (coinductT, coinductP), _) = get_local ctxt in 
30560  232 
{type_cases = Item_Net.content casesT, 
233 
pred_cases = Item_Net.content casesP, 

234 
type_induct = Item_Net.content inductT, 

235 
pred_induct = Item_Net.content inductP, 

236 
type_coinduct = Item_Net.content coinductT, 

237 
pred_coinduct = Item_Net.content coinductP} 

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end; 
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239 

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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  251 
val _ = 
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Outer_Syntax.improper_command "print_induct_rules" "print induction and cases rules" 
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Keyword.diag (Scan.succeed (Toplevel.no_timing o Toplevel.unknown_context o 
24867  254 
Toplevel.keep (print_rules o Toplevel.context_of))); 
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256 

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(* access rules *) 
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258 

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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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fun find_rules which how ctxt x = 
30560  268 
map snd (Item_Net.retrieve (which (get_local ctxt)) (how x)); 
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37523  270 
val find_casesT = find_rules (#1 o #1) Net.encode_type; 
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val find_casesP = find_rules (#2 o #1) I; 
37523  272 
val find_inductT = find_rules (#1 o #2) Net.encode_type; 
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val find_inductP = find_rules (#2 o #2) I; 
37523  274 
val find_coinductT = find_rules (#1 o #3) Net.encode_type; 
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val find_coinductP = find_rules (#2 o #3) I; 
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(** attributes **) 
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280 

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local 
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fun mk_att f g name arg = 
37524  284 
let val (x, thm) = g arg in (Data.map (f (name, thm)) x, thm) end; 
27140  285 

37525  286 
fun del_att which = 
287 
Thm.declaration_attribute (fn th => Data.map (which (pairself (fn rs => 

288 
fold Item_Net.remove (filter_rules rs th) rs)))); 

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289 

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fun map1 f (x, y, z, s) = (f x, y, z, s); 
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fun map2 f (x, y, z, s) = (x, f y, z, s); 
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fun map3 f (x, y, z, s) = (x, y, f z, s); 
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fun map4 f (x, y, z, s) = (x, y, z, f s); 
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33373  295 
fun add_casesT rule x = map1 (apfst (Item_Net.update rule)) x; 
296 
fun add_casesP rule x = map1 (apsnd (Item_Net.update rule)) x; 

297 
fun add_inductT rule x = map2 (apfst (Item_Net.update rule)) x; 

298 
fun add_inductP rule x = map2 (apsnd (Item_Net.update rule)) x; 

299 
fun add_coinductT rule x = map3 (apfst (Item_Net.update rule)) x; 

300 
fun add_coinductP rule x = map3 (apsnd (Item_Net.update rule)) x; 

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33368  302 
val consumes0 = Rule_Cases.consumes_default 0; 
303 
val consumes1 = Rule_Cases.consumes_default 1; 

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304 

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305 
in 
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306 

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307 
val cases_type = mk_att add_casesT consumes0; 
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val cases_pred = mk_att add_casesP consumes1; 
27140  309 
val cases_del = del_att map1; 
310 

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val induct_type = mk_att add_inductT consumes0; 
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val induct_pred = mk_att add_inductP consumes1; 
27140  313 
val induct_del = del_att map2; 
314 

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val coinduct_type = mk_att add_coinductT consumes0; 
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val coinduct_pred = mk_att add_coinductP consumes1; 
27140  317 
val coinduct_del = del_att map3; 
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37524  319 
fun map_simpset f = Data.map (map4 f); 
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320 

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fun induct_simp f = 
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Thm.declaration_attribute (fn thm => fn context => 
37525  323 
map_simpset 
324 
(Simplifier.with_context (Context.proof_of context) (fn ss => f (ss, [thm]))) context); 

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325 

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val induct_simp_add = induct_simp (op addsimps); 
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val induct_simp_del = induct_simp (op delsimps); 
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328 

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329 
end; 
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330 

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changeset

331 

a7b3ab44d993
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332 

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333 
(** attribute syntax **) 
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334 

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335 
val no_simpN = "no_simp"; 
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336 
val casesN = "cases"; 
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val inductN = "induct"; 
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val coinductN = "coinduct"; 
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339 

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340 
val typeN = "type"; 
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val predN = "pred"; 
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val setN = "set"; 
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343 

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344 
local 
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345 

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346 
fun spec k arg = 
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347 
Scan.lift (Args.$$$ k  Args.colon)  arg  
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348 
Scan.lift (Args.$$$ k) >> K ""; 
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349 

30528  350 
fun attrib add_type add_pred del = 
35400
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351 
spec typeN (Args.type_name false) >> add_type  
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352 
spec predN (Args.const false) >> add_pred  
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353 
spec setN (Args.const false) >> add_pred  
30528  354 
Scan.lift Args.del >> K del; 
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355 

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changeset

356 
in 
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357 

30528  358 
val attrib_setup = 
30722
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359 
Attrib.setup @{binding cases} (attrib cases_type cases_pred cases_del) 
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360 
"declaration of cases rule" #> 
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361 
Attrib.setup @{binding induct} (attrib induct_type induct_pred induct_del) 
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362 
"declaration of induction rule" #> 
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363 
Attrib.setup @{binding coinduct} (attrib coinduct_type coinduct_pred coinduct_del) 
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364 
"declaration of coinduction rule" #> 
36602
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365 
Attrib.setup @{binding induct_simp} (Attrib.add_del induct_simp_add induct_simp_del) 
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366 
"declaration of rules for simplifying induction or cases rules"; 
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367 

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368 
end; 
a7b3ab44d993
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369 

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

370 

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

371 

a7b3ab44d993
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372 
(** method utils **) 
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373 

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374 
(* alignment *) 
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375 

a7b3ab44d993
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376 
fun align_left msg xs ys = 
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377 
let val m = length xs and n = length ys 
33957  378 
in if m < n then error msg else (take n xs ~~ ys) end; 
24830
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379 

a7b3ab44d993
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380 
fun align_right msg xs ys = 
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381 
let val m = length xs and n = length ys 
33957  382 
in if m < n then error msg else (drop (m  n) xs ~~ ys) end; 
24830
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383 

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

384 

a7b3ab44d993
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385 
(* prep_inst *) 
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386 

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387 
fun prep_inst ctxt align tune (tm, ts) = 
24830
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388 
let 
32432
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389 
val cert = Thm.cterm_of (ProofContext.theory_of ctxt); 
24830
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390 
fun prep_var (x, SOME t) = 
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391 
let 
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moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
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diff
changeset

392 
val cx = cert x; 
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
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26568
diff
changeset

393 
val xT = #T (Thm.rep_cterm cx); 
24830
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394 
val ct = cert (tune t); 
32432
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diff
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395 
val tT = #T (Thm.rep_cterm ct); 
24830
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396 
in 
32432
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changeset

397 
if Type.could_unify (tT, xT) then SOME (cx, ct) 
24830
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398 
else error (Pretty.string_of (Pretty.block 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
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changeset

399 
[Pretty.str "Illtyped instantiation:", Pretty.fbrk, 
32432
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changeset

400 
Syntax.pretty_term ctxt (Thm.term_of ct), Pretty.str " ::", Pretty.brk 1, 
64f30bdd3ba1
modernized messages  eliminated ctyp/cterm operations;
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diff
changeset

401 
Syntax.pretty_typ ctxt tT])) 
24830
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402 
end 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
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diff
changeset

403 
 prep_var (_, NONE) = NONE; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
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diff
changeset

404 
val xs = vars_of tm; 
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moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
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diff
changeset

405 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
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diff
changeset

406 
align "Rule has fewer variables than instantiations given" xs ts 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
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diff
changeset

407 
> map_filter prep_var 
a7b3ab44d993
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diff
changeset

408 
end; 
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 

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

411 
(* trace_rules *) 
a7b3ab44d993
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parents:
diff
changeset

412 

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

413 
fun trace_rules _ kind [] = error ("Unable to figure out " ^ kind ^ " rule") 
a7b3ab44d993
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diff
changeset

414 
 trace_rules ctxt _ rules = Method.trace ctxt rules; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

415 

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

416 

34987
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

417 
(* mark equality constraints in cases rule *) 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

418 

37524  419 
val equal_def' = Thm.symmetric Induct_Args.equal_def; 
34987
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diff
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420 

c1e8af37ee75
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diff
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421 
fun mark_constraints n ctxt = Conv.fconv_rule 
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diff
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422 
(Conv.prems_conv (~1) (Conv.params_conv ~1 (K (Conv.prems_conv n 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
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423 
(MetaSimplifier.rewrite false [equal_def']))) ctxt)); 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
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diff
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424 

c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
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425 
val unmark_constraints = Conv.fconv_rule 
37524  426 
(MetaSimplifier.rewrite true [Induct_Args.equal_def]); 
34987
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Added infrastructure for simplifying equality constraints in cases rules.
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diff
changeset

427 

37525  428 

34987
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Added infrastructure for simplifying equality constraints in cases rules.
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diff
changeset

429 
(* simplify *) 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
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diff
changeset

430 

c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
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parents:
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diff
changeset

431 
fun simplify_conv' ctxt = 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
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diff
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432 
Simplifier.full_rewrite (Simplifier.context ctxt (#4 (get_local ctxt))); 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
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diff
changeset

433 

c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
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diff
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434 
fun simplify_conv ctxt ct = 
37524  435 
if exists_subterm (is_some o Induct_Args.dest_def) (term_of ct) then 
34987
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

436 
(Conv.try_conv (rulify_defs_conv ctxt) then_conv simplify_conv' ctxt) ct 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
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diff
changeset

437 
else Conv.all_conv ct; 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

438 

c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
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diff
changeset

439 
fun gen_simplified_rule cv ctxt = 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
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diff
changeset

440 
Conv.fconv_rule (Conv.prems_conv ~1 (cv ctxt)); 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

441 

c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
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diff
changeset

442 
val simplified_rule' = gen_simplified_rule simplify_conv'; 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
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diff
changeset

443 
val simplified_rule = gen_simplified_rule simplify_conv; 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
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diff
changeset

444 

c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
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parents:
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diff
changeset

445 
fun simplify_tac ctxt = CONVERSION (simplify_conv ctxt); 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
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446 

37524  447 
val trivial_tac = Induct_Args.trivial_tac; 
34987
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
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diff
changeset

448 

c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

449 

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

450 

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

451 
(** cases method **) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

452 

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

453 
(* 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

454 
rule selection scheme: 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

455 
cases  default case split 
24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

456 
`A t` cases ...  predicate/set cases 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

457 
cases t  type cases 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

458 
... cases ... r  explicit rule 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

459 
*) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

460 

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

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

462 

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

463 
fun get_casesT ctxt ((SOME t :: _) :: _) = find_casesT 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

464 
 get_casesT _ _ = []; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

465 

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

466 
fun get_casesP ctxt (fact :: _) = find_casesP ctxt (Thm.concl_of fact) 
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

467 
 get_casesP _ _ = []; 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

468 

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

469 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

470 

34987
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

471 
fun cases_tac ctxt simp 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

472 
let 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

473 
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

474 

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

475 
fun inst_rule r = 
34987
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

476 
(if null insts then r 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

477 
else (align_left "Rule has fewer premises than arguments given" (Thm.prems_of r) insts 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

478 
> maps (prep_inst ctxt align_left I) 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

479 
> Drule.cterm_instantiate) r) > 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

480 
(if simp then mark_constraints (Rule_Cases.get_constraints r) ctxt else I) > 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

481 
pair (Rule_Cases.get r); 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

482 

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

483 
val ruleq = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

484 
(case opt_rule of 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

485 
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

486 
 NONE => 
37524  487 
(get_casesP ctxt facts @ get_casesT ctxt insts @ [Induct_Args.cases_default]) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

488 
> 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

489 
> 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

490 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

491 
fn i => fn st => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

492 
ruleq 
33368  493 
> Seq.maps (Rule_Cases.consume [] facts) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

494 
> Seq.maps (fn ((cases, (_, more_facts)), rule) => 
34987
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

495 
let val rule' = 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

496 
(if simp then simplified_rule' ctxt #> unmark_constraints else I) rule 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

497 
in 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

498 
CASES (Rule_Cases.make_common (thy, 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

499 
Thm.prop_of (Rule_Cases.internalize_params rule')) cases) 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

500 
((Method.insert_tac more_facts THEN' Tactic.rtac rule' THEN_ALL_NEW 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

501 
(if simp then TRY o trivial_tac else K all_tac)) i) st 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

502 
end) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

503 
end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

504 

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

505 
end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

506 

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 

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

509 
(** induct method **) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

510 

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

511 
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

512 

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

513 

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

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

515 

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

516 
fun atomize_term thy = 
37524  517 
MetaSimplifier.rewrite_term thy Induct_Args.atomize [] 
35625  518 
#> Object_Logic.drop_judgment thy; 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

519 

37524  520 
val atomize_cterm = MetaSimplifier.rewrite true Induct_Args.atomize; 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

521 

37524  522 
val atomize_tac = Simplifier.rewrite_goal_tac Induct_Args.atomize; 
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 
val inner_atomize_tac = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

525 
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

526 

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

527 

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

528 
(* rulify *) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

529 

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

530 
fun rulify_term thy = 
37524  531 
MetaSimplifier.rewrite_term thy (Induct_Args.rulify @ conjunction_congs) [] #> 
532 
MetaSimplifier.rewrite_term thy Induct_Args.rulify_fallback []; 

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

535 
let 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

536 
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

537 
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

538 
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

539 
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

540 

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

541 
val rulify_tac = 
37524  542 
Simplifier.rewrite_goal_tac (Induct_Args.rulify @ conjunction_congs) THEN' 
543 
Simplifier.rewrite_goal_tac Induct_Args.rulify_fallback THEN' 

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

544 
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

545 
(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

546 

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

549 

32432
64f30bdd3ba1
modernized messages  eliminated ctyp/cterm operations;
wenzelm
parents:
32188
diff
changeset

550 
fun rule_instance ctxt inst rule = 
64f30bdd3ba1
modernized messages  eliminated ctyp/cterm operations;
wenzelm
parents:
32188
diff
changeset

551 
Drule.cterm_instantiate (prep_inst ctxt align_left I (Thm.prop_of rule, inst)) rule; 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

552 

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

553 
fun internalize k th = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

554 
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

555 
> 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

556 

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

557 

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

558 
(* 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

559 

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

560 
local 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

561 

32032  562 
fun dest_env thy env = 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

563 
let 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

564 
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

565 
val certT = Thm.ctyp_of thy; 
32032  566 
val pairs = Vartab.dest (Envir.term_env env); 
567 
val types = Vartab.dest (Envir.type_env env); 

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

568 
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

569 
val xs = map2 (curry (cert o Var)) (map #1 pairs) (map (#T o Thm.rep_cterm) ts); 
32032  570 
in (map (fn (xi, (S, T)) => (certT (TVar (xi, S)), certT T)) types, xs ~~ ts) end; 
24830
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 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

573 

26940  574 
fun guess_instance ctxt rule i st = 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

575 
let 
26940  576 
val thy = ProofContext.theory_of ctxt; 
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26568
diff
changeset

577 
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

578 
val goal = Thm.term_of (Thm.cprem_of st i); (*exception Subscript*) 
29276  579 
val params = rev (Term.rename_wrt_term goal (Logic.strip_params goal)); 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

580 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

581 
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

582 
(warning ("Cannot determine rule instantiation due to pending parameter(s): " ^ 
26940  583 
commas_quote (map (Syntax.string_of_term ctxt o Syntax.mark_boundT) params)); 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

584 
Seq.single rule) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

585 
else 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

586 
let 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

587 
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

588 
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

589 
in 
32032  590 
Unify.smash_unifiers thy [(Thm.concl_of rule', concl)] (Envir.empty (Thm.maxidx_of rule')) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

591 
> 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

592 
end 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

593 
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

594 

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

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

596 

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

597 

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

598 
(* 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

599 

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

600 
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

601 
let 
26712
e2dcda7b0401
adapted to ProofContext.revert_skolem: extra Name.clean required;
wenzelm
parents:
26626
diff
changeset

602 
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

603 
fun index i [] = [] 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

604 
 index i (y :: ys) = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

605 
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

606 
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

607 
fun rename_params [] = [] 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

608 
 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

609 
(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

610 
 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

611 
fun rename_asm A = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

612 
let 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

613 
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

614 
val xs' = 
28375  615 
(case filter (fn x' => x' = x) xs of 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

616 
[] => 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

617 
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

618 
fun rename_prop p = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

619 
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

620 
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

621 
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

622 
val thm' = Thm.equal_elim (Thm.reflexive cp') thm; 
33368  623 
in [Rule_Cases.save thm thm'] end 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

624 
 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

625 

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

626 

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

627 
(* fix_tac *) 
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 
local 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

630 

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

631 
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

632 
 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

633 
 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

634 
 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

635 

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

636 
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

637 
 goal_params 0 _ = 0 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

638 
 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

639 
 goal_params _ _ = 0; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

640 

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

641 
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

642 
let 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

643 
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

644 
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

645 

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

646 
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

647 
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

648 
@{thm Pure.meta_spec} 
26712
e2dcda7b0401
adapted to ProofContext.revert_skolem: extra Name.clean required;
wenzelm
parents:
26626
diff
changeset

649 
> 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

650 
> 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

651 
> `(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

652 
> (fn pred $ arg => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

653 
Drule.cterm_instantiate 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

654 
[(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

655 
(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

656 

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

657 
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

658 
 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

659 
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

660 
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

661 
 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

662 
 goal_concl _ _ _ = NONE; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

663 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

664 
(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

665 
SOME concl => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

666 
(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

667 
 NONE => all_tac) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

668 
end); 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

669 

24832  670 
fun miniscope_tac p = CONVERSION o 
26568  671 
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

672 

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

673 
in 
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 
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

676 
 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

677 
(EVERY' (map (meta_spec_tac ctxt n) xs) THEN' 
24832  678 
(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

679 

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

680 
end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

681 

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

684 

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

685 
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

686 
let 
34907
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

687 
fun add (SOME (_, (t, true))) ctxt = ((SOME t, []), ctxt) 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

688 
 add (SOME (SOME x, (t, _))) ctxt = 
28083
103d9282a946
explicit type Name.binding for higherspecification elements;
wenzelm
parents:
27865
diff
changeset

689 
let val ([(lhs, (_, th))], ctxt') = 
35624  690 
Local_Defs.add_defs [((x, NoSyn), (Thm.empty_binding, t))] ctxt 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

691 
in ((SOME lhs, [th]), ctxt') end 
34907
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

692 
 add (SOME (NONE, (t as Free _, _))) ctxt = ((SOME t, []), ctxt) 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

693 
 add (SOME (NONE, (t, _))) ctxt = 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

694 
let 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

695 
val ([s], _) = Name.variants ["x"] (Variable.names_of ctxt); 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

696 
val ([(lhs, (_, th))], ctxt') = 
35624  697 
Local_Defs.add_defs [((Binding.name s, NoSyn), 
34907
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

698 
(Thm.empty_binding, t))] ctxt 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

699 
in ((SOME lhs, [th]), ctxt') end 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

700 
 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

701 
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

702 

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

705 

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

706 
(* 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

707 
rule selection scheme: 
24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

708 
`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

709 
induct x  type induction 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

710 
... induct ... r  explicit rule 
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 

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

713 
fun get_inductT ctxt insts = 
32188  714 
fold_rev (map_product cons) (insts > map 
27323
385c0ce33173
tuned get_inductT: *all* rules for missing instantiation;
wenzelm
parents:
27140
diff
changeset

715 
((fn [] => NONE  ts => List.last ts) #> 
385c0ce33173
tuned get_inductT: *all* rules for missing instantiation;
wenzelm
parents:
27140
diff
changeset

716 
(fn NONE => TVar (("'a", 0), [])  SOME t => Term.fastype_of t) #> 
385c0ce33173
tuned get_inductT: *all* rules for missing instantiation;
wenzelm
parents:
27140
diff
changeset

717 
find_inductT ctxt)) [[]] 
33368  718 
> filter_out (forall Rule_Cases.is_inner_rule); 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

719 

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

720 
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

721 
 get_inductP _ _ = []; 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

722 

34907
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

723 
fun induct_tac ctxt simp 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

724 
let 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

725 
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

726 

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

727 
val ((insts, defs), defs_ctxt) = fold_map add_defs def_insts ctxt >> split_list; 
34907
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

728 
val atomized_defs = map (map (Conv.fconv_rule atomize_cterm)) defs; 
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 inst_rule (concls, r) = 
33368  731 
(if null insts then `Rule_Cases.get r 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

732 
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

733 
(map Logic.strip_imp_concl (Logic.dest_conjunctions (Thm.concl_of r))) insts 
32432
64f30bdd3ba1
modernized messages  eliminated ctyp/cterm operations;
wenzelm
parents:
32188
diff
changeset

734 
> maps (prep_inst ctxt align_right (atomize_term thy)) 
33368  735 
> Drule.cterm_instantiate) r > pair (Rule_Cases.get r)) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

736 
> (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

737 

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

738 
val ruleq = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

739 
(case opt_rule of 
33368  740 
SOME rs => Seq.single (inst_rule (Rule_Cases.strict_mutual_rule ctxt rs)) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

741 
 NONE => 
24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

742 
(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

743 
map (special_rename_params defs_ctxt insts) (get_inductT ctxt insts)) 
33368  744 
> map_filter (Rule_Cases.mutual_rule ctxt) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

745 
> 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

746 
> 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

747 

34907
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

748 
fun rule_cases ctxt rule = 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

749 
let val rule' = (if simp then simplified_rule ctxt else I) 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

750 
(Rule_Cases.internalize_params rule); 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

751 
in Rule_Cases.make_nested (Thm.prop_of rule') (rulified_term rule') end; 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

752 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

753 
(fn i => fn st => 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

754 
ruleq 
33368  755 
> Seq.maps (Rule_Cases.consume (flat defs) facts) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

756 
> 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

757 
(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

758 
(CONJUNCTS (ALLGOALS 
34907
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

759 
let 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

760 
val adefs = nth_list atomized_defs (j  1); 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

761 
val frees = fold (Term.add_frees o prop_of) adefs []; 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

762 
val xs = nth_list arbitrary (j  1); 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

763 
val k = nth concls (j  1) + more_consumes 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

764 
in 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

765 
Method.insert_tac (more_facts @ adefs) THEN' 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

766 
(if simp then 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

767 
rotate_tac k (length adefs) THEN' 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

768 
fix_tac defs_ctxt k 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

769 
(List.partition (member op = frees) xs > op @) 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

770 
else 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

771 
fix_tac defs_ctxt k xs) 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

772 
end) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

773 
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

774 
THEN' atomize_tac) i st > Seq.maps (fn st' => 
26940  775 
guess_instance ctxt (internalize more_consumes rule) i st' 
32432
64f30bdd3ba1
modernized messages  eliminated ctyp/cterm operations;
wenzelm
parents:
32188
diff
changeset

776 
> Seq.map (rule_instance ctxt (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

777 
> Seq.maps (fn rule' => 
34907
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

778 
CASES (rule_cases ctxt rule' cases) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

779 
(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

780 
PRIMITIVE (singleton (ProofContext.export defs_ctxt ctxt))) st')))) 
34907
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

781 
THEN_ALL_NEW_CASES 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

782 
((if simp then simplify_tac ctxt THEN' (TRY o trivial_tac) 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

783 
else K all_tac) 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

784 
THEN_ALL_NEW rulify_tac) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

785 
end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

786 

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

787 

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

788 

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

789 
(** coinduct method **) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

790 

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

791 
(* 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

792 
rule selection scheme: 
24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

793 
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

794 
coinduct x  type coinduction 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

795 
coinduct ... r  explicit rule 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

796 
*) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

797 

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

798 
local 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

799 

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

800 
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

801 
 get_coinductT _ _ = []; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

802 

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

803 
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

804 

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

805 
fun main_prop_of th = 
33368  806 
if Rule_Cases.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

807 

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

808 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

809 

26924  810 
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

811 
let 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

812 
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

813 

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

814 
fun inst_rule r = 
33368  815 
if null inst then `Rule_Cases.get r 
32432
64f30bdd3ba1
modernized messages  eliminated ctyp/cterm operations;
wenzelm
parents:
32188
diff
changeset

816 
else Drule.cterm_instantiate (prep_inst ctxt align_right I (main_prop_of r, inst)) r 
33368  817 
> pair (Rule_Cases.get r); 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

818 

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

819 
fun ruleq goal = 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

820 
(case opt_rule of 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

821 
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

822 
 NONE => 
24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

823 
(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

824 
> 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

825 
> 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

826 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

827 
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

828 
ruleq goal 
33368  829 
> Seq.maps (Rule_Cases.consume [] facts) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

830 
> Seq.maps (fn ((cases, (_, more_facts)), rule) => 
26940  831 
guess_instance ctxt rule i st 
32432
64f30bdd3ba1
modernized messages  eliminated ctyp/cterm operations;
wenzelm
parents:
32188
diff
changeset

832 
> Seq.map (rule_instance ctxt (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

833 
> Seq.maps (fn rule' => 
34907
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

834 
CASES (Rule_Cases.make_common (thy, 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

835 
Thm.prop_of (Rule_Cases.internalize_params rule')) cases) 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

836 
(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

837 
end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

838 

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

839 
end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

840 

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

841 

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

842 

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

843 
(** concrete syntax **) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

844 

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

845 
val arbitraryN = "arbitrary"; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

846 
val takingN = "taking"; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

847 
val ruleN = "rule"; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

848 

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

849 
local 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

850 

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

851 
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

852 
 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

853 

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

854 
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

855 
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

856 
(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

857 
(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

858 
 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

859 

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

860 
fun rule get_type get_pred = 
35400
1fad91c02b98
type/const name: explicitly allow abbreviations as well;
wenzelm
parents:
35360
diff
changeset

861 
named_rule typeN (Args.type_name false) get_type  
1fad91c02b98
type/const name: explicitly allow abbreviations as well;
wenzelm
parents:
35360
diff
changeset

862 
named_rule predN (Args.const false) get_pred  
1fad91c02b98
type/const name: explicitly allow abbreviations as well;
wenzelm
parents:
35360
diff
changeset

863 
named_rule setN (Args.const false) get_pred  
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

864 
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

865 

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

866 
val cases_rule = rule lookup_casesT lookup_casesP >> single_rule; 
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

867 
val induct_rule = rule lookup_inductT lookup_inductP; 
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

868 
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

869 

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

870 
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

871 

34907
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

872 
val inst' = Scan.lift (Args.$$$ "_") >> K NONE  
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

873 
Args.term >> (SOME o rpair false)  
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

874 
Scan.lift (Args.$$$ "(")  (Args.term >> (SOME o rpair true))  
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

875 
Scan.lift (Args.$$$ ")"); 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

876 

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

877 
val def_inst = 
28083
103d9282a946
explicit type Name.binding for higherspecification elements;
wenzelm
parents:
27865
diff
changeset

878 
((Scan.lift (Args.binding  (Args.$$$ "\<equiv>"  Args.$$$ "==")) >> SOME) 
34907
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

879 
 (Args.term >> rpair false)) >> SOME  
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

880 
inst' >> Option.map (pair NONE); 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

881 

27370  882 
val free = Args.context  Args.term >> (fn (_, Free v) => v  (ctxt, t) => 
883 
error ("Bad free variable: " ^ Syntax.string_of_term ctxt t)); 

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

884 

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

885 
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

886 
((Args.$$$ arbitraryN  Args.$$$ takingN  Args.$$$ typeN  
24861
cc669ca5f382
tuned Induct interface: prefer pred'' over set'';
wenzelm
parents:
24832
diff
changeset

887 
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

888 

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

889 
val arbitrary = Scan.optional (Scan.lift (Args.$$$ arbitraryN  Args.colon)  
36960
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36602
diff
changeset

890 
Parse.and_list1' (Scan.repeat (unless_more_args free))) []; 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

891 

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

892 
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

893 
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

894 

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

895 
in 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

896 

30722
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30560
diff
changeset

897 
val cases_setup = 
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30560
diff
changeset

898 
Method.setup @{binding cases} 
34987
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

899 
(Args.mode no_simpN  
36960
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36602
diff
changeset

900 
(Parse.and_list' (Scan.repeat (unless_more_args inst))  Scan.option cases_rule) >> 
34987
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

901 
(fn (no_simp, (insts, opt_rule)) => fn ctxt => 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

902 
METHOD_CASES (fn facts => Seq.DETERM (HEADGOAL 
c1e8af37ee75
Added infrastructure for simplifying equality constraints in cases rules.
berghofe
parents:
34907
diff
changeset

903 
(cases_tac ctxt (not no_simp) insts opt_rule facts))))) 
30722
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30560
diff
changeset

904 
"case analysis 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

905 

30722
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30560
diff
changeset

906 
val induct_setup = 
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30560
diff
changeset

907 
Method.setup @{binding induct} 
36960
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36602
diff
changeset

908 
(Args.mode no_simpN  (Parse.and_list' (Scan.repeat (unless_more_args def_inst))  
34907
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

909 
(arbitrary  taking  Scan.option induct_rule)) >> 
b0aaec87751c
Added infrastructure for simplifying equality constraints.
berghofe
parents:
33957
diff
changeset

910 
(fn (no_simp, (insts, ((arbitrary, taking), opt_rule))) => fn ctxt => 
30722
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30560
diff
changeset

911 
RAW_METHOD_CASES (fn facts => 
36960
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36602
diff
changeset

912 
Seq.DETERM 
01594f816e3a
prefer structure Keyword, Parse, Parse_Spec, Outer_Syntax;
wenzelm
parents:
36602
diff
changeset

913 
(HEADGOAL (induct_tac ctxt (not no_simp) insts arbitrary taking opt_rule facts))))) 
30722
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30560
diff
changeset

914 
"induction 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

915 

30722
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30560
diff
changeset

916 
val coinduct_setup = 
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30560
diff
changeset

917 
Method.setup @{binding coinduct} 
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30560
diff
changeset

918 
(Scan.repeat (unless_more_args inst)  taking  Scan.option coinduct_rule >> 
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30560
diff
changeset

919 
(fn ((insts, taking), opt_rule) => fn ctxt => 
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30560
diff
changeset

920 
RAW_METHOD_CASES (fn facts => 
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30560
diff
changeset

921 
Seq.DETERM (HEADGOAL (coinduct_tac ctxt insts taking opt_rule facts))))) 
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30560
diff
changeset

922 
"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

923 

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

924 
end; 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

925 

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

926 

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

927 

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

928 
(** theory setup **) 
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

929 

30722
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30560
diff
changeset

930 
val setup = attrib_setup #> cases_setup #> induct_setup #> coinduct_setup; 
24830
a7b3ab44d993
moved Pure/Isar/induct_attrib.ML and Provers/induct_method.ML to Tools/induct.ML;
wenzelm
parents:
diff
changeset

931 

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

932 
end; 