author | kleing |
Wed, 25 May 2005 10:18:09 +0200 | |
changeset 16071 | e0136cdef722 |
parent 16036 | 1da07ac33711 |
child 16074 | 9e569163ba8c |
permissions | -rw-r--r-- |
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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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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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(** 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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||
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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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||
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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; |