author  wenzelm 
Sun, 22 May 2005 19:26:16 +0200  
changeset 16036  1da07ac33711 
parent 16033  f93ca3d4ffa7 
child 16071  e0136cdef722 
permissions  rwrr 
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(* Title: Pure/Isar/find_theorems.ML 
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ID: $Id$ 
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Author: Rafal Kolanski, NICTA and Tobias Nipkow, TU Muenchen 
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Retrieve theorems from proof context. 
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*) 
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val thms_containing_limit = ref 40; 
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signature FIND_THEOREMS = 
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sig 
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val find_thms: Proof.context > FactIndex.spec > (thmref * thm) list 
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val find_intros: Proof.context > term > (thmref * thm) list 
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val find_intros_goal: Proof.context > thm > int > (thmref * thm) list 
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val find_elims: Proof.context > term > (thmref * thm) list 
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datatype 'term criterion = 
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Name of string  Intro  Elim  Dest  Rewrite of 'term  Pattern of 'term 

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val print_theorems: Proof.context > term option > int option > 
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(bool * string criterion) list > unit 
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end; 
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structure FindTheorems: FIND_THEOREMS = 
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struct 
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(* find_thms *) 
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fun find_thms ctxt spec = 
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(PureThy.thms_containing (ProofContext.theory_of ctxt) spec @ 
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ProofContext.lthms_containing ctxt spec) 
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> map PureThy.selections > List.concat; 
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(* matching theorems *) 
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local 
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(*returns all those facts whose subterm extracted by extract can be 
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instantiated to obj; the list is sorted according to the number of premises 
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and the size of the required substitution*) 
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fun select_match (extract_thms, extract_term) ctxt obj facts = 
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let 
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val match = #2 o Pattern.match (Sign.tsig_of (ProofContext.sign_of ctxt)); 
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fun match_size pat = 
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let val subst = match (pat, obj) (*exception Pattern.MATCH*) 
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in SOME (Vartab.foldl (op + o apsnd (Term.size_of_term o #2 o #2)) (0, subst)) end 
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handle Pattern.MATCH => NONE; 
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fun select (fact as (_, thm)) = 
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let 
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fun first_match (th :: ths) res = 
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(case match_size (extract_term (Thm.prop_of th)) of 
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SOME s => ((Thm.nprems_of th, s), fact) :: res 
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 NONE => first_match ths res) 
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 first_match [] res = res; 
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in first_match (extract_thms thm) end; 
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fun thm_ord (((p0, s0), _), ((p1, s1), _)) = 
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prod_ord (int_ord o pairself (fn 0 => 0  x => 1)) int_ord ((p0, s0), (p1, s1)); 
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in 
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fold select facts [] 
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> Library.sort thm_ord > map #2 
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end; 
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(*speed up retrieval by checking head symbol*) 
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fun index_head ctxt prop = 
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(case Term.head_of (ObjectLogic.drop_judgment (ProofContext.sign_of ctxt) prop) of 
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Const (c, _) => ([c], []) 
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 Free (x, _) => if ProofContext.is_known ctxt x then ([], [x]) else ([], []) 
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 _ => ([], [])); 
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in 
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fun find_matching_thms extract ctxt prop = 
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find_thms ctxt (index_head ctxt prop) 
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> select_match extract ctxt prop; 
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fun is_matching_thm extract ctxt prop fact = 
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not (null (select_match extract ctxt prop [fact])); 
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end; 
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(* intro/elim rules *) 
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(*match statement against conclusion of some rule*) 
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val find_intros = 
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find_matching_thms (single, Logic.strip_imp_concl); 
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(*match conclusion of subgoal i against conclusion of some rule*) 
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fun find_intros_goal ctxt st i = 
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find_intros ctxt (Logic.concl_of_goal (Thm.prop_of st) i); 
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(*match statement against major premise of some rule*) 
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val find_elims = find_matching_thms 
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(fn thm => if Thm.no_prems thm then [] else [thm], 
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hd o Logic.strip_imp_prems); 
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(** search criteria **) 
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datatype 'term criterion = 
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Name of string  Intro  Elim  Dest  Rewrite of 'term  Pattern of 'term; 

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fun read_criterion _ (Name name) = Name name 

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 read_criterion _ Intro = Intro 

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 read_criterion _ Elim = Elim 

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 read_criterion _ Dest = Dest 

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 read_criterion ctxt (Rewrite str) = Rewrite (ProofContext.read_term ctxt str) 

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 read_criterion ctxt (Pattern str) = 

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Pattern (hd (ProofContext.read_term_pats TypeInfer.logicT ctxt [str])); 

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fun pretty_criterion ctxt (b, c) = 
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let 

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fun prfx s = if b then s else "" ^ s; 

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in 

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(case c of 

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Name name => Pretty.str (prfx "name: " ^ quote name) 

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 Intro => Pretty.str (prfx "intro") 

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 Elim => Pretty.str (prfx "elim") 

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 Dest => Pretty.str (prfx "dest") 

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 Rewrite t => Pretty.block [Pretty.str (prfx "rewrite:"), Pretty.brk 1, 

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Pretty.quote (ProofContext.pretty_term ctxt t)] 

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 Pattern pat => Pretty.enclose (prfx " \"") "\"" 

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[ProofContext.pretty_term ctxt (Term.show_dummy_patterns pat)]) 

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end; 

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(** search criterion filters **) 
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(* filter_name *) 
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fun is_substring pat str = 
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if String.size pat = 0 then true 
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else if String.size pat > String.size str then false 
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else if String.substring (str, 0, String.size pat) = pat then true 
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else is_substring pat (String.extract (str, 1, NONE)); 
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(*filter that just looks for a string in the name, 
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substring match only (no regexps are performed)*) 
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fun filter_name str_pat ((name, _), _) = is_substring str_pat name; 
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(* filter intro/elim/dest rules *) 
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local 
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(*elimination rule: conclusion is a Var which does not appear in the major premise*) 

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fun is_elim ctxt thm = 

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let 
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val sg = ProofContext.sign_of ctxt; 
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val prop = Thm.prop_of thm; 

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val concl = ObjectLogic.drop_judgment sg (Logic.strip_imp_concl prop); 

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val major_prem = Library.take (1, Logic.strip_imp_prems prop); 

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val prem_vars = Drule.vars_of_terms major_prem; 

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in 

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not (null major_prem) andalso 

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Term.is_Var concl andalso 

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not (Term.dest_Var concl mem prem_vars) 

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end; 

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fun filter_elim_dest check_thm ctxt goal = 
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let 
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val extract_elim = 
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(fn thm => if Thm.no_prems thm then [] else [thm], 
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hd o Logic.strip_imp_prems); 
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val prems = Logic.prems_of_goal goal 1; 
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in 
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fn fact => prems > List.exists (fn prem => 
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is_matching_thm extract_elim ctxt prem fact 

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andalso (check_thm ctxt) (#2 fact)) 

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end; 
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in 
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fun filter_intro ctxt goal = 

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let 
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val extract_intro = (single, Logic.strip_imp_concl); 
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val concl = Logic.concl_of_goal goal 1; 

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in 
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fn fact => is_matching_thm extract_intro ctxt concl fact 
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andalso not (is_elim ctxt (#2 fact)) 

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end; 
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fun filter_elim ctxt = filter_elim_dest is_elim ctxt; 
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fun filter_dest ctxt = filter_elim_dest (not oo is_elim) ctxt; 

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end; 

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(* filter_rewrite *) 
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fun filter_rewrite ctxt t = 
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let 
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val (_, {mk_rews = {mk, ...}, ...}) = 
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MetaSimplifier.rep_ss (Simplifier.local_simpset_of ctxt); 
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val extract_rewrite = (mk, #1 o Logic.dest_equals o Logic.strip_imp_concl); 
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in is_matching_thm extract_rewrite ctxt t end; 
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(* filter_pattern *) 
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fun filter_pattern ctxt pat = 
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let val tsig = Sign.tsig_of (ProofContext.sign_of ctxt) 

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in fn (_, thm) => Pattern.matches_subterm tsig (pat, Thm.prop_of thm) end; 
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(* interpret criteria as filters *) 
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local 
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fun err_no_goal c = 

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error ("Current goal required for " ^ c ^ " search criterion"); 

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fun filter_crit _ _ (Name name) = filter_name name 
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 filter_crit _ NONE Intro = err_no_goal "intro" 
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 filter_crit _ NONE Elim = err_no_goal "elim" 

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 filter_crit _ NONE Dest = err_no_goal "dest" 

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 filter_crit ctxt (SOME goal) Intro = filter_intro ctxt goal 

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 filter_crit ctxt (SOME goal) Elim = filter_elim ctxt goal 

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 filter_crit ctxt (SOME goal) Dest = filter_dest ctxt goal 

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 filter_crit ctxt _ (Rewrite str) = filter_rewrite ctxt str 
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 filter_crit ctxt _ (Pattern str) = filter_pattern ctxt str; 
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in 

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fun filter_criterion ctxt opt_goal (b, c) = 
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(if b then I else not) o filter_crit ctxt opt_goal c; 
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fun all_filters filters = List.filter (fn x => List.all (fn f => f x) filters); 
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end; 
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(* print_theorems *) 
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fun print_theorems ctxt opt_goal opt_limit raw_criteria = 
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let 
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val criteria = map (apsnd (read_criterion ctxt)) raw_criteria; 
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val filters = map (filter_criterion ctxt opt_goal) criteria; 

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val matches = all_filters filters (find_thms ctxt ([], [])); 
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val len = length matches; 
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val limit = if_none opt_limit (! thms_containing_limit); 
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fun prt_fact (thmref, thm) = 
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ProofContext.pretty_fact ctxt (PureThy.string_of_thmref thmref, [thm]); 

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in 
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Pretty.big_list "searched for:" (map (pretty_criterion ctxt) criteria) :: Pretty.str "" :: 
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(if null matches then [Pretty.str "nothing found"] 
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else 
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[Pretty.str ("found " ^ string_of_int len ^ " theorems" ^ 
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(if len <= limit then "" else " (" ^ string_of_int limit ^ " displayed)") ^ ":"), 

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Pretty.str ""] @ 

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map prt_fact (Library.drop (len  limit, matches))) 

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> Pretty.chunks > Pretty.writeln 
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end; 
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end; 