1 (* Title: HOL/Import/proof_kernel.ML
2 Author: Sebastian Skalberg and Steven Obua, TU Muenchen
5 signature ProofKernel =
14 datatype proof = Proof of proof_info * proof_content
17 | PInstT of proof * (hol_type,hol_type) subst
18 | PSubst of proof list * term * proof
19 | PAbs of proof * term
20 | PDisch of proof * term
21 | PMp of proof * proof
23 | PAxm of string * term
24 | PDef of string * string * term
25 | PTmSpec of string * string list * proof
26 | PTyDef of string * string * proof
27 | PTyIntro of string * string * string * string * term * term * proof
28 | POracle of tag * term list * term
30 | PSpec of proof * term
31 | PInst of proof * (term,term) subst
32 | PGen of proof * term
33 | PGenAbs of proof * term option * term list
34 | PImpAS of proof * proof
36 | PTrans of proof * proof
37 | PComb of proof * proof
38 | PEqMp of proof * proof
40 | PExists of proof * term * term
41 | PChoose of term * proof * proof
42 | PConj of proof * proof
45 | PDisj1 of proof * term
46 | PDisj2 of proof * term
47 | PDisjCases of proof * proof * proof
50 | PContr of proof * term
52 exception PK of string * string
54 val get_proof_dir: string -> theory -> string option
55 val disambiguate_frees : Thm.thm -> Thm.thm
56 val debug : bool Unsynchronized.ref
57 val disk_info_of : proof -> (string * string) option
58 val set_disk_info_of : proof -> string -> string -> unit
59 val mk_proof : proof_content -> proof
60 val content_of : proof -> proof_content
61 val import_proof : string -> string -> theory -> (theory -> term) option * (theory -> proof)
63 val rewrite_hol4_term: Term.term -> theory -> Thm.thm
65 val type_of : term -> hol_type
67 val get_thm : string -> string -> theory -> (theory * thm option)
68 val get_def : string -> string -> term -> theory -> (theory * thm option)
69 val get_axiom: string -> string -> theory -> (theory * thm option)
71 val store_thm : string -> string -> thm -> theory -> theory * thm
73 val to_isa_thm : thm -> (term * term) list * Thm.thm
74 val to_isa_term: term -> Term.term
75 val to_hol_thm : Thm.thm -> thm
77 val REFL : term -> theory -> theory * thm
78 val ASSUME : term -> theory -> theory * thm
79 val INST_TYPE : (hol_type,hol_type) subst -> thm -> theory -> theory * thm
80 val INST : (term,term)subst -> thm -> theory -> theory * thm
81 val EQ_MP : thm -> thm -> theory -> theory * thm
82 val EQ_IMP_RULE : thm -> theory -> theory * thm
83 val SUBST : thm list -> term -> thm -> theory -> theory * thm
84 val DISJ_CASES : thm -> thm -> thm -> theory -> theory * thm
85 val DISJ1: thm -> term -> theory -> theory * thm
86 val DISJ2: term -> thm -> theory -> theory * thm
87 val IMP_ANTISYM: thm -> thm -> theory -> theory * thm
88 val SYM : thm -> theory -> theory * thm
89 val MP : thm -> thm -> theory -> theory * thm
90 val GEN : term -> thm -> theory -> theory * thm
91 val CHOOSE : term -> thm -> thm -> theory -> theory * thm
92 val EXISTS : term -> term -> thm -> theory -> theory * thm
93 val ABS : term -> thm -> theory -> theory * thm
94 val GEN_ABS : term option -> term list -> thm -> theory -> theory * thm
95 val TRANS : thm -> thm -> theory -> theory * thm
96 val CCONTR : term -> thm -> theory -> theory * thm
97 val CONJ : thm -> thm -> theory -> theory * thm
98 val CONJUNCT1: thm -> theory -> theory * thm
99 val CONJUNCT2: thm -> theory -> theory * thm
100 val NOT_INTRO: thm -> theory -> theory * thm
101 val NOT_ELIM : thm -> theory -> theory * thm
102 val SPEC : term -> thm -> theory -> theory * thm
103 val COMB : thm -> thm -> theory -> theory * thm
104 val DISCH: term -> thm -> theory -> theory * thm
106 val type_introduction: string -> string -> string -> string -> string -> term * term -> thm -> theory -> theory * thm
108 val new_definition : string -> string -> term -> theory -> theory * thm
109 val new_specification : string -> string -> string list -> thm -> theory -> theory * thm
110 val new_type_definition : string -> string -> string -> thm -> theory -> theory * thm
111 val new_axiom : string -> term -> theory -> theory * thm
113 val prin : term -> unit
114 val protect_factname : string -> string
115 val replay_protect_varname : string -> string -> unit
116 val replay_add_dump : string -> theory -> theory
119 structure ProofKernel :> ProofKernel =
121 type hol_type = Term.typ
122 type term = Term.term
123 datatype tag = Tag of string list
124 type ('a,'b) subst = ('a * 'b) list
125 datatype thm = HOLThm of (Term.term * Term.term) list * Thm.thm
127 fun hthm2thm (HOLThm (_, th)) = th
129 fun to_hol_thm th = HOLThm ([], th)
131 val replay_add_dump = add_dump
132 fun add_dump s thy = (ImportRecorder.add_dump s; replay_add_dump s thy)
135 = Info of {disk_info: (string * string) option Unsynchronized.ref}
137 datatype proof = Proof of proof_info * proof_content
140 | PInstT of proof * (hol_type,hol_type) subst
141 | PSubst of proof list * term * proof
142 | PAbs of proof * term
143 | PDisch of proof * term
144 | PMp of proof * proof
146 | PAxm of string * term
147 | PDef of string * string * term
148 | PTmSpec of string * string list * proof
149 | PTyDef of string * string * proof
150 | PTyIntro of string * string * string * string * term * term * proof
151 | POracle of tag * term list * term
153 | PSpec of proof * term
154 | PInst of proof * (term,term) subst
155 | PGen of proof * term
156 | PGenAbs of proof * term option * term list
157 | PImpAS of proof * proof
159 | PTrans of proof * proof
160 | PComb of proof * proof
161 | PEqMp of proof * proof
163 | PExists of proof * term * term
164 | PChoose of term * proof * proof
165 | PConj of proof * proof
166 | PConjunct1 of proof
167 | PConjunct2 of proof
168 | PDisj1 of proof * term
169 | PDisj2 of proof * term
170 | PDisjCases of proof * proof * proof
173 | PContr of proof * term
175 exception PK of string * string
176 fun ERR f mesg = PK (f,mesg)
180 PK (m,s) => (writeln ("PK (" ^ m ^ "): " ^ s); raise e)
181 | _ => OldGoals.print_exn e
185 val string_of_mixfix = Pretty.string_of o Syntax.pretty_mixfix;
188 if Syntax.is_identifier c andalso not (Syntax.is_keyword (Sign.syn_of thy) c) then NoSyn
189 else Syntax.literal c
192 if Syntax.is_identifier c andalso not (OuterKeyword.is_keyword c) then c else quote c
194 fun simple_smart_string_of_cterm ct =
196 val thy = Thm.theory_of_cterm ct;
197 val {t,T,...} = rep_cterm ct
198 (* Hack to avoid parse errors with Trueprop *)
199 val ct = (cterm_of thy (HOLogic.dest_Trueprop t)
204 Library.setmp show_brackets false (
205 Library.setmp show_all_types true (
206 Library.setmp Syntax.ambiguity_is_error false (
207 Library.setmp show_sorts true (Syntax.string_of_term_global thy o Thm.term_of)))))
211 exception SMART_STRING
213 fun smart_string_of_cterm ct =
215 val thy = Thm.theory_of_cterm ct
216 val ctxt = ProofContext.init thy
217 val {t,T,...} = rep_cterm ct
218 (* Hack to avoid parse errors with Trueprop *)
219 val ct = (cterm_of thy (HOLogic.dest_Trueprop t)
221 fun match u = t aconv u
222 fun G 0 = Library.setmp show_types true (Library.setmp show_sorts true)
223 | G 1 = Library.setmp show_brackets true (G 0)
224 | G 2 = Library.setmp show_all_types true (G 0)
225 | G 3 = Library.setmp show_brackets true (G 2)
226 | G _ = raise SMART_STRING
230 Library.setmp show_brackets false (G n (Syntax.string_of_term ctxt o term_of)) ct
231 val u = Syntax.parse_term ctxt str
232 |> TypeInfer.constrain T |> Syntax.check_term ctxt
238 handle ERROR mesg => F (n + 1)
240 error ("smart_string failed for: "^ G 0 (Syntax.string_of_term ctxt o term_of) ct)
242 PrintMode.setmp [] (Library.setmp Syntax.ambiguity_is_error true F) 0
244 handle ERROR mesg => simple_smart_string_of_cterm ct
246 val smart_string_of_thm = smart_string_of_cterm o cprop_of
248 fun prth th = writeln (PrintMode.setmp [] Display.string_of_thm_without_context th);
249 fun prin t = writeln (PrintMode.setmp []
250 (fn () => Syntax.string_of_term (ML_Context.the_local_context ()) t) ());
251 fun pth (HOLThm(ren,thm)) =
253 (*val _ = writeln "Renaming:"
254 val _ = app (fn(v,w) => (prin v; writeln " -->"; prin w)) ren*)
260 fun disk_info_of (Proof(Info{disk_info,...},_)) = !disk_info
261 fun mk_proof p = Proof(Info{disk_info = Unsynchronized.ref NONE},p)
262 fun content_of (Proof(_,p)) = p
264 fun set_disk_info_of (Proof(Info{disk_info,...},_)) thyname thmname =
265 disk_info := SOME(thyname,thmname)
272 fun F [] = raise PK("Lib.assoc","Not found")
273 | F ((x',y)::rest) = if x = x'
280 let fun itr [] = false
281 | itr (a::rst) = i=a orelse itr rst
286 | (a::rst) union S2 = rst union (insert (op =) a S2)
288 fun implode_subst [] = []
289 | implode_subst (x::r::rest) = ((x,r)::(implode_subst rest))
290 | implode_subst _ = raise ERR "implode_subst" "malformed substitution list"
297 val empty_tag = Tag []
298 fun read name = Tag [name]
299 fun merge (Tag tag1) (Tag tag2) = Tag (Lib.union(tag1,tag2))
304 fun get_segment thyname l = (Lib.assoc "s" l
305 handle PK _ => thyname)
306 val get_name : (string * string) list -> string = Lib.assoc "n"
315 exception XML of string
317 datatype xml = Elem of string * (string * string) list * xml list
318 datatype XMLtype = XMLty of xml | FullType of hol_type
319 datatype XMLterm = XMLtm of xml | FullTerm of term
325 val (x,toks2) = one Char.isAlpha toks
326 val (xs,toks3) = any Char.isAlphaNum toks2
328 (String.implode (x::xs),toks3)
331 fun scan_string str c =
333 fun F [] toks = (c,toks)
335 case LazySeq.getItem toks of
339 else raise SyntaxError
340 | NONE => raise SyntaxError
342 F (String.explode str)
347 (scan_string "amp;" #"&")
348 || scan_string "quot;" #"\""
349 || scan_string "gt;" #">"
350 || scan_string "lt;" #"<"
351 || scan_string "apos;" #"'"
353 fun scan_nonquote toks =
354 case LazySeq.getItem toks of
357 #"\"" => raise SyntaxError
358 | #"&" => scan_entity toks'
360 | NONE => raise SyntaxError
363 val scan_string = $$ #"\"" |-- repeat scan_nonquote --| $$ #"\"" >>
366 val scan_attribute = scan_id -- $$ #"=" |-- scan_string
368 val scan_start_of_tag = $$ #"<" |-- scan_id --
369 repeat ($$ #" " |-- scan_attribute)
371 (* The evaluation delay introduced through the 'toks' argument is needed
372 for the sake of the SML/NJ (110.9.1) compiler. Either that or an explicit
374 fun scan_end_of_tag toks = ($$ #"/" |-- $$ #">" |-- succeed []) toks
376 val scan_end_tag = $$ #"<" |-- $$ #"/" |-- scan_id --| $$ #">"
378 fun scan_children id = $$ #">" |-- repeat scan_tag -- scan_end_tag >>
379 (fn (chldr,id') => if id = id'
381 else raise XML "Tag mismatch")
384 val ((id,atts),toks2) = scan_start_of_tag toks
385 val (chldr,toks3) = (scan_children id || scan_end_of_tag) toks2
387 (Elem (id,atts,chldr),toks3)
391 val type_of = Term.type_of
393 val boolT = Type("bool",[])
394 val propT = Type("prop",[])
396 fun mk_defeq name rhs thy =
400 Logic.mk_equals (Const(Sign.intern_const thy name,ty),rhs)
403 fun mk_teq name rhs thy =
407 HOLogic.mk_eq (Const(Sign.intern_const thy name,ty),rhs)
410 fun intern_const_name thyname const thy =
411 case get_hol4_const_mapping thyname const thy of
412 SOME (_,cname,_) => cname
413 | NONE => (case get_hol4_const_renaming thyname const thy of
414 SOME cname => Sign.intern_const thy (thyname ^ "." ^ cname)
415 | NONE => Sign.intern_const thy (thyname ^ "." ^ const))
417 fun intern_type_name thyname const thy =
418 case get_hol4_type_mapping thyname const thy of
419 SOME (_,cname) => cname
420 | NONE => Sign.intern_const thy (thyname ^ "." ^ const)
422 fun mk_vartype name = TFree(name,["HOL.type"])
423 fun mk_thy_type thy Thy Tyop Args = Type(intern_type_name Thy Tyop thy,Args)
427 fun dom_rng (Type("fun",[dom,rng])) = (dom,rng)
428 | dom_rng _ = raise ERR "dom_rng" "Not a functional type"
430 fun mk_thy_const thy Thy Nam Ty = Const(intern_const_name Thy Nam thy,Ty)
433 fun get_const sg thyname name =
434 (case Sign.const_type sg name of
435 SOME ty => Const (name, ty)
436 | NONE => raise ERR "get_type" (name ^ ": No such constant"))
438 fun prim_mk_const thy Thy Nam =
440 val name = intern_const_name Thy Nam thy
441 val cmaps = HOL4ConstMaps.get thy
443 case StringPair.lookup cmaps (Thy,Nam) of
444 SOME(_,_,SOME ty) => Const(name,ty)
445 | _ => get_const thy Thy name
449 fun mk_comb(f,a) = f $ a
451 (* Needed for HOL Light *)
452 fun protect_tyvarname s =
455 if Char.contains s #"?"
456 then String.translate (fn #"?" => "q_" | c => Char.toString c) s
459 if String.isPrefix "'" s
463 s |> no_quest |> beg_prime
466 val protected_varnames = Unsynchronized.ref (Symtab.empty:string Symtab.table)
467 val invented_isavar = Unsynchronized.ref 0
469 fun innocent_varname s = Syntax.is_identifier s andalso not (String.isPrefix "u_" s)
471 val check_name_thy = theory "Main"
473 fun valid_boundvarname s =
474 can (fn () => Syntax.read_term_global check_name_thy ("SOME "^s^". True")) ();
476 fun valid_varname s =
477 can (fn () => Syntax.read_term_global check_name_thy s) ();
479 fun protect_varname s =
480 if innocent_varname s andalso valid_varname s then s else
481 case Symtab.lookup (!protected_varnames) s of
485 val _ = Unsynchronized.inc invented_isavar
486 val t = "u_" ^ string_of_int (!invented_isavar)
487 val _ = ImportRecorder.protect_varname s t
488 val _ = protected_varnames := Symtab.update (s, t) (!protected_varnames)
493 exception REPLAY_PROTECT_VARNAME of string*string*string
495 fun replay_protect_varname s t =
496 case Symtab.lookup (!protected_varnames) s of
497 SOME t' => raise REPLAY_PROTECT_VARNAME (s, t, t')
500 val _ = Unsynchronized.inc invented_isavar
501 val t = "u_" ^ string_of_int (!invented_isavar)
502 val _ = protected_varnames := Symtab.update (s, t) (!protected_varnames)
507 fun protect_boundvarname s = if innocent_varname s andalso valid_boundvarname s then s else "u"
509 fun mk_lambda (v as Free (x, T)) t = Abs (protect_boundvarname x, T, abstract_over (v, t))
510 | mk_lambda (v as Var ((x, _), T)) t = Abs (protect_boundvarname x, T, abstract_over (v, t))
511 | mk_lambda v t = raise TERM ("lambda", [v, t]);
513 fun replacestr x y s =
517 fun isprefix [] ys = true
518 | isprefix (x::xs) (y::ys) = if x = y then isprefix xs ys else false
519 | isprefix _ _ = false
520 fun isp s = isprefix xl s
521 fun chg s = yl@(List.drop (s, List.length xl))
523 | r (S as (s::ss)) = if isp S then r (chg S) else s::(r ss)
525 implode(r (explode s))
528 fun protect_factname s = replacestr "." "_dot_" s
529 fun unprotect_factname s = replacestr "_dot_" "." s
531 val ty_num_prefix = "N_"
533 fun startsWithDigit s = Char.isDigit (hd (String.explode s))
535 fun protect_tyname tyn =
538 if String.isPrefix ty_num_prefix tyn then raise (ERR "protect_ty_name" ("type name '"^tyn^"' is reserved")) else
539 (if startsWithDigit tyn then ty_num_prefix^tyn else tyn)
544 fun protect_constname tcn = tcn
545 (* if tcn = ".." then "dotdot"
546 else if tcn = "==" then "eqeq"
552 fun get_type_from_index thy thyname types is =
553 case Int.fromString is of
554 SOME i => (case Array.sub(types,i) of
558 val ty = get_type_from_xml thy thyname types xty
559 val _ = Array.update(types,i,FullType ty)
563 | NONE => raise ERR "get_type_from_index" "Bad index"
564 and get_type_from_xml thy thyname types =
566 fun gtfx (Elem("tyi",[("i",iS)],[])) =
567 get_type_from_index thy thyname types iS
568 | gtfx (Elem("tyc",atts,[])) =
570 (get_segment thyname atts)
571 (protect_tyname (get_name atts))
573 | gtfx (Elem("tyv",[("n",s)],[])) = mk_vartype (protect_tyvarname s)
574 | gtfx (Elem("tya",[],(Elem("tyc",atts,[]))::tys)) =
576 (get_segment thyname atts)
577 (protect_tyname (get_name atts))
579 | gtfx _ = raise ERR "get_type" "Bad type"
584 fun input_types thyname (Elem("tylist",[("i",i)],xtys)) =
586 val types = Array.array(valOf (Int.fromString i),XMLty (Elem("",[],[])))
589 (Array.update(types,n,XMLty xty);
595 | input_types _ _ = raise ERR "input_types" "Bad type list"
601 fun get_term_from_index thy thyname types terms is =
602 case Int.fromString is of
603 SOME i => (case Array.sub(terms,i) of
607 val tm = get_term_from_xml thy thyname types terms xtm
608 val _ = Array.update(terms,i,FullTerm tm)
612 | NONE => raise ERR "get_term_from_index" "Bad index"
613 and get_term_from_xml thy thyname types terms =
615 fun get_type [] = NONE
616 | get_type [ty] = SOME (TypeNet.get_type_from_xml thy thyname types ty)
617 | get_type _ = raise ERR "get_term" "Bad type"
619 fun gtfx (Elem("tmv",[("n",name),("t",tyi)],[])) =
620 mk_var(protect_varname name,TypeNet.get_type_from_index thy thyname types tyi)
621 | gtfx (Elem("tmc",atts,[])) =
623 val segment = get_segment thyname atts
624 val name = protect_constname(get_name atts)
626 mk_thy_const thy segment name (TypeNet.get_type_from_index thy thyname types (Lib.assoc "t" atts))
627 handle PK _ => prim_mk_const thy segment name
629 | gtfx (Elem("tma",[("f",tmf),("a",tma)],[])) =
631 val f = get_term_from_index thy thyname types terms tmf
632 val a = get_term_from_index thy thyname types terms tma
636 | gtfx (Elem("tml",[("x",tmx),("a",tma)],[])) =
638 val x = get_term_from_index thy thyname types terms tmx
639 val a = get_term_from_index thy thyname types terms tma
643 | gtfx (Elem("tmi",[("i",iS)],[])) =
644 get_term_from_index thy thyname types terms iS
645 | gtfx (Elem(tag,_,_)) =
646 raise ERR "get_term" ("Not a term: "^tag)
651 fun input_terms thyname types (Elem("tmlist",[("i",i)],xtms)) =
653 val terms = Array.array(valOf(Int.fromString i),XMLtm (Elem("",[],[])))
657 (Array.update(terms,n,XMLtm xtm);
663 | input_terms _ _ _ = raise ERR "input_terms" "Bad term list"
666 fun get_proof_dir (thyname:string) thy =
669 case get_segment2 thyname thy of
671 | NONE => get_import_segment thy
672 val path = space_explode ":" (getenv "HOL4_PROOFS")
676 val dir = OS.Path.joinDirFile {dir = p,file=import_segment}
678 if OS.FileSys.isDir dir
681 end) handle OS.SysErr _ => find ps
683 Option.map (fn p => OS.Path.joinDirFile {dir = p, file = thyname}) (find path)
686 fun proof_file_name thyname thmname thy =
688 val path = case get_proof_dir thyname thy of
690 | NONE => error "Cannot find proof files"
691 val _ = OS.FileSys.mkDir path handle OS.SysErr _ => ()
693 OS.Path.joinDirFile {dir = path, file = OS.Path.joinBaseExt {base = (unprotect_factname thmname), ext = SOME "prf"}}
696 fun xml_to_proof thyname types terms prf thy =
698 val xml_to_hol_type = TypeNet.get_type_from_xml thy thyname types
699 val xml_to_term = TermNet.get_term_from_xml thy thyname types terms
701 fun index_to_term is =
702 TermNet.get_term_from_index thy thyname types terms is
704 fun x2p (Elem("prefl",[("i",is)],[])) = mk_proof (PRefl (index_to_term is))
705 | x2p (Elem("pinstt",[],p::lambda)) =
708 val lambda = implode_subst (map xml_to_hol_type lambda)
710 mk_proof (PInstT(p,lambda))
712 | x2p (Elem("psubst",[("i",is)],prf::prfs)) =
714 val tm = index_to_term is
716 val prfs = map x2p prfs
718 mk_proof (PSubst(prfs,tm,prf))
720 | x2p (Elem("pabs",[("i",is)],[prf])) =
723 val t = index_to_term is
725 mk_proof (PAbs (p,t))
727 | x2p (Elem("pdisch",[("i",is)],[prf])) =
730 val t = index_to_term is
732 mk_proof (PDisch (p,t))
734 | x2p (Elem("pmp",[],[prf1,prf2])) =
739 mk_proof (PMp(p1,p2))
741 | x2p (Elem("phyp",[("i",is)],[])) = mk_proof (PHyp (index_to_term is))
742 | x2p (Elem("paxiom",[("n",n),("i",is)],[])) =
743 mk_proof (PAxm(n,index_to_term is))
744 | x2p (Elem("pfact",atts,[])) =
746 val thyname = get_segment thyname atts
747 val thmname = protect_factname (get_name atts)
748 val p = mk_proof PDisk
749 val _ = set_disk_info_of p thyname thmname
753 | x2p (Elem("pdef",[("s",seg),("n",name),("i",is)],[])) =
754 mk_proof (PDef(seg,protect_constname name,index_to_term is))
755 | x2p (Elem("ptmspec",[("s",seg)],p::names)) =
757 val names = map (fn Elem("name",[("n",name)],[]) => name
758 | _ => raise ERR "x2p" "Bad proof (ptmspec)") names
760 mk_proof (PTmSpec(seg,names,x2p p))
762 | x2p (Elem("ptyintro",[("s",seg),("n",name),("a",abs_name),("r",rep_name)],[xP,xt,p])) =
764 val P = xml_to_term xP
765 val t = xml_to_term xt
767 mk_proof (PTyIntro(seg,protect_tyname name,protect_constname abs_name,protect_constname rep_name,P,t,x2p p))
769 | x2p (Elem("ptydef",[("s",seg),("n",name)],[p])) =
770 mk_proof (PTyDef(seg,protect_tyname name,x2p p))
771 | x2p (xml as Elem("poracle",[],chldr)) =
773 val (oracles,terms) = List.partition (fn (Elem("oracle",_,_)) => true | _ => false) chldr
774 val ors = map (fn (Elem("oracle",[("n",name)],[])) => name | xml => raise ERR "x2p" "bad oracle") oracles
775 val (c,asl) = case terms of
776 [] => raise ERR "x2p" "Bad oracle description"
777 | (hd::tl) => (hd,tl)
778 val tg = List.foldr (fn (oracle,tg) => Tag.merge (Tag.read oracle) tg) Tag.empty_tag ors
780 mk_proof (POracle(tg,map xml_to_term asl,xml_to_term c))
782 | x2p (Elem("pspec",[("i",is)],[prf])) =
785 val tm = index_to_term is
787 mk_proof (PSpec(p,tm))
789 | x2p (Elem("pinst",[],p::theta)) =
792 val theta = implode_subst (map xml_to_term theta)
794 mk_proof (PInst(p,theta))
796 | x2p (Elem("pgen",[("i",is)],[prf])) =
799 val tm = index_to_term is
801 mk_proof (PGen(p,tm))
803 | x2p (Elem("pgenabs",[],prf::tms)) =
806 val tml = map xml_to_term tms
808 mk_proof (PGenAbs(p,NONE,tml))
810 | x2p (Elem("pgenabs",[("i",is)],prf::tms)) =
813 val tml = map xml_to_term tms
815 mk_proof (PGenAbs(p,SOME (index_to_term is),tml))
817 | x2p (Elem("pimpas",[],[prf1,prf2])) =
822 mk_proof (PImpAS(p1,p2))
824 | x2p (Elem("psym",[],[prf])) =
830 | x2p (Elem("ptrans",[],[prf1,prf2])) =
835 mk_proof (PTrans(p1,p2))
837 | x2p (Elem("pcomb",[],[prf1,prf2])) =
842 mk_proof (PComb(p1,p2))
844 | x2p (Elem("peqmp",[],[prf1,prf2])) =
849 mk_proof (PEqMp(p1,p2))
851 | x2p (Elem("peqimp",[],[prf])) =
857 | x2p (Elem("pexists",[("e",ise),("w",isw)],[prf])) =
860 val ex = index_to_term ise
861 val w = index_to_term isw
863 mk_proof (PExists(p,ex,w))
865 | x2p (Elem("pchoose",[("i",is)],[prf1,prf2])) =
867 val v = index_to_term is
871 mk_proof (PChoose(v,p1,p2))
873 | x2p (Elem("pconj",[],[prf1,prf2])) =
878 mk_proof (PConj(p1,p2))
880 | x2p (Elem("pconjunct1",[],[prf])) =
884 mk_proof (PConjunct1 p)
886 | x2p (Elem("pconjunct2",[],[prf])) =
890 mk_proof (PConjunct2 p)
892 | x2p (Elem("pdisj1",[("i",is)],[prf])) =
895 val t = index_to_term is
897 mk_proof (PDisj1 (p,t))
899 | x2p (Elem("pdisj2",[("i",is)],[prf])) =
902 val t = index_to_term is
904 mk_proof (PDisj2 (p,t))
906 | x2p (Elem("pdisjcases",[],[prf1,prf2,prf3])) =
912 mk_proof (PDisjCases(p1,p2,p3))
914 | x2p (Elem("pnoti",[],[prf])) =
920 | x2p (Elem("pnote",[],[prf])) =
926 | x2p (Elem("pcontr",[("i",is)],[prf])) =
929 val t = index_to_term is
931 mk_proof (PContr (p,t))
933 | x2p xml = raise ERR "x2p" "Bad proof"
938 fun import_proof_concl thyname thmname thy =
940 val is = TextIO.openIn(proof_file_name thyname thmname thy)
941 val (proof_xml,_) = scan_tag (LazySeq.of_instream is)
942 val _ = TextIO.closeIn is
945 Elem("proof",[],xtypes::xterms::prf::rest) =>
947 val types = TypeNet.input_types thyname xtypes
948 val terms = TermNet.input_terms thyname types xterms
949 fun f xtm thy = TermNet.get_term_from_xml thy thyname types terms xtm
953 | [xtm] => SOME (f xtm)
954 | _ => raise ERR "import_proof" "Bad argument list"
956 | _ => raise ERR "import_proof" "Bad proof"
959 fun import_proof thyname thmname thy =
961 val is = TextIO.openIn(proof_file_name thyname thmname thy)
962 val (proof_xml,_) = scan_tag (LazySeq.of_instream is)
963 val _ = TextIO.closeIn is
966 Elem("proof",[],xtypes::xterms::prf::rest) =>
968 val types = TypeNet.input_types thyname xtypes
969 val terms = TermNet.input_terms thyname types xterms
973 | [xtm] => SOME (fn thy => TermNet.get_term_from_xml thy thyname types terms xtm)
974 | _ => raise ERR "import_proof" "Bad argument list",
975 xml_to_proof thyname types terms prf)
977 | _ => raise ERR "import_proof" "Bad proof"
980 fun uniq_compose m th i st =
982 val res = Thm.bicompose false (false,th,m) i st
985 SOME (th,rest) => (case Seq.pull rest of
986 SOME _ => raise ERR "uniq_compose" "Not unique!"
988 | NONE => raise ERR "uniq_compose" "No result"
991 val reflexivity_thm = thm "refl"
992 val substitution_thm = thm "subst"
993 val mp_thm = thm "mp"
994 val imp_antisym_thm = thm "light_imp_as"
995 val disch_thm = thm "impI"
996 val ccontr_thm = thm "ccontr"
998 val meta_eq_to_obj_eq_thm = thm "meta_eq_to_obj_eq"
1000 val gen_thm = thm "HOLallI"
1001 val choose_thm = thm "exE"
1002 val exists_thm = thm "exI"
1003 val conj_thm = thm "conjI"
1004 val conjunct1_thm = thm "conjunct1"
1005 val conjunct2_thm = thm "conjunct2"
1006 val spec_thm = thm "spec"
1007 val disj_cases_thm = thm "disjE"
1008 val disj1_thm = thm "disjI1"
1009 val disj2_thm = thm "disjI2"
1012 val th = thm "not_def"
1013 val thy = theory_of_thm th
1014 val pp = reflexive (cterm_of thy (Const("Trueprop",boolT-->propT)))
1016 val not_elim_thm = combination pp th
1019 val not_intro_thm = symmetric not_elim_thm
1020 val abs_thm = thm "ext"
1021 val trans_thm = thm "trans"
1022 val symmetry_thm = thm "sym"
1023 val transitivity_thm = thm "trans"
1024 val eqmp_thm = thm "iffD1"
1025 val eqimp_thm = thm "HOL4Setup.eq_imp"
1026 val comb_thm = thm "cong"
1028 (* Beta-eta normalizes a theorem (only the conclusion, not the *
1031 fun beta_eta_thm th =
1033 val th1 = Thm.equal_elim (Thm.beta_conversion true (cprop_of th)) th
1034 val th2 = Thm.equal_elim (Thm.eta_conversion (cprop_of th1)) th1
1039 fun implies_elim_all th =
1040 Library.foldl (fn (th,p) => implies_elim th (assume p)) (th,cprems_of th)
1045 |> implies_intr_hyps
1047 fun mk_GEN v th sg =
1049 val c = HOLogic.dest_Trueprop (concl_of th)
1050 val cv = cterm_of sg v
1051 val lc = Term.lambda v c
1052 val clc = Thm.cterm_of sg lc
1053 val cvty = ctyp_of_term cv
1054 val th1 = implies_elim_all th
1055 val th2 = beta_eta_thm (forall_intr cv th1)
1056 val th3 = th2 COMP (beta_eta_thm (Drule.instantiate' [SOME cvty] [SOME clc] gen_thm))
1058 val vname = fst(dest_Free v)
1059 val (cold,cnew) = case c of
1060 tpc $ (Const("All",allT) $ Abs(oldname,ty,body)) =>
1061 (Abs(oldname,dummyT,Bound 0),Abs(vname,dummyT,Bound 0))
1062 | tpc $ (Const("All",allT) $ rest) => (tpc,tpc)
1063 | _ => raise ERR "mk_GEN" "Unknown conclusion"
1064 val th4 = Thm.rename_boundvars cold cnew th3
1065 val res = implies_intr_hyps th4
1070 fun rearrange sg tm th =
1072 val tm' = Envir.beta_eta_contract tm
1073 fun find [] n = Thm.permute_prems 0 1 (implies_intr (Thm.cterm_of sg tm) th)
1074 | find (p::ps) n = if tm' aconv (Envir.beta_eta_contract p)
1075 then Thm.permute_prems n 1 th
1078 find (prems_of th) 0
1081 fun zip (x::xs) (y::ys) = (x,y)::(zip xs ys)
1083 | zip _ _ = raise ERR "zip" "arguments not of same length"
1085 fun mk_INST dom rng th =
1086 th |> forall_intr_list dom
1087 |> forall_elim_list rng
1091 fun F vars (Bound _) = vars
1092 | F vars (tm as Free _) =
1096 | F vars (Const _) = vars
1097 | F vars (tm1 $ tm2) = F (F vars tm1) tm2
1098 | F vars (Abs(_,_,body)) = F vars body
1099 | F vars (Var _) = raise ERR "collect_vars" "Schematic variable found"
1104 (* Code for disambiguating variablenames (wrt. types) *)
1106 val disamb_info_empty = {vars=[],rens=[]}
1108 fun rens_of {vars,rens} = rens
1110 fun name_of_var (Free(vname,_)) = vname
1111 | name_of_var _ = raise ERR "name_of_var" "Not a variable"
1113 fun disamb_term_from info tm = (info, tm)
1115 fun swap (x,y) = (y,x)
1117 fun has_ren (HOLThm _) = false
1119 fun prinfo {vars,rens} = (writeln "Vars:";
1121 writeln "Renaming:";
1122 app (fn(x,y)=>(prin x; writeln " -->"; prin y)) rens)
1124 fun disamb_thm_from info (HOLThm (_,thm)) = (info, thm)
1126 fun disamb_terms_from info tms = (info, tms)
1128 fun disamb_thms_from info hthms = (info, map hthm2thm hthms)
1130 fun disamb_term tm = disamb_term_from disamb_info_empty tm
1131 fun disamb_terms tms = disamb_terms_from disamb_info_empty tms
1132 fun disamb_thm thm = disamb_thm_from disamb_info_empty thm
1133 fun disamb_thms thms = disamb_thms_from disamb_info_empty thms
1135 fun norm_hthm sg (hth as HOLThm _) = hth
1137 (* End of disambiguating code *)
1139 fun disambiguate_frees thm =
1141 fun ERR s = error ("Drule.disambiguate_frees: "^s)
1142 val ct = cprop_of thm
1144 val thy = theory_of_cterm ct
1145 val frees = OldTerm.term_frees t
1146 val freenames = Term.add_free_names t []
1147 val is_old_name = member (op =) freenames
1148 fun name_of (Free (n, _)) = n
1149 | name_of _ = ERR "name_of"
1150 fun new_name' bump map n =
1151 let val n' = n^bump in
1152 if is_old_name n' orelse Symtab.lookup map n' <> NONE then
1153 new_name' (Symbol.bump_string bump) map n
1157 val new_name = new_name' "a"
1158 fun replace_name n' (Free (n, t)) = Free (n', t)
1159 | replace_name n' _ = ERR "replace_name"
1160 (* map: old or fresh name -> old free,
1161 invmap: old free which has fresh name assigned to it -> fresh name *)
1162 fun dis (v, mapping as (map,invmap)) =
1163 let val n = name_of v in
1164 case Symtab.lookup map n of
1165 NONE => (Symtab.update (n, v) map, invmap)
1170 let val n' = new_name map n in
1171 (Symtab.update (n', v) map,
1172 Termtab.update (v, n') invmap)
1176 if (length freenames = length frees) then
1181 List.foldl dis (Symtab.empty, Termtab.empty) frees
1182 fun make_subst ((oldfree, newname), (intros, elims)) =
1183 (cterm_of thy oldfree :: intros,
1184 cterm_of thy (replace_name newname oldfree) :: elims)
1185 val (intros, elims) = List.foldl make_subst ([], []) (Termtab.dest invmap)
1187 forall_elim_list elims (forall_intr_list intros thm)
1191 val debug = Unsynchronized.ref false
1193 fun if_debug f x = if !debug then f x else ()
1194 val message = if_debug writeln
1196 val conjE_helper = Thm.permute_prems 0 1 conjE
1198 fun get_hol4_thm thyname thmname thy =
1199 case get_hol4_theorem thyname thmname thy of
1200 SOME hth => SOME (HOLThm hth)
1203 val pending = HOL4Pending.get thy
1205 case StringPair.lookup pending (thyname,thmname) of
1206 SOME hth => SOME (HOLThm hth)
1210 fun non_trivial_term_consts t = fold_aterms
1212 if c = "Trueprop" orelse c = "All" orelse c = "op -->" orelse c = "op &" orelse c = "op ="
1213 then I else insert (op =) c
1216 fun match_consts t (* th *) =
1218 fun add_consts (Const (c, _), cs) =
1220 "op =" => insert (op =) "==" cs
1221 | "op -->" => insert (op =) "==>" cs
1226 | _ => insert (op =) c cs)
1227 | add_consts (t $ u, cs) = add_consts (t, add_consts (u, cs))
1228 | add_consts (Abs (_, _, t), cs) = add_consts (t, cs)
1229 | add_consts (_, cs) = cs
1230 val t_consts = add_consts(t,[])
1232 fn th => eq_set(t_consts,add_consts(prop_of th,[]))
1235 fun split_name str =
1237 val sub = Substring.full str
1238 val (f,idx) = apsnd Substring.string (Substring.splitr Char.isDigit sub)
1239 val (newstr,u) = pairself Substring.string (Substring.splitr (fn c => c = #"_") f)
1241 if not (idx = "") andalso u = "_"
1242 then SOME (newstr,valOf(Int.fromString idx))
1245 handle _ => NONE (* FIXME avoid handle _ *)
1247 fun rewrite_hol4_term t thy =
1249 val hol4rews1 = map (Thm.transfer thy) (HOL4Rewrites.get thy)
1250 val hol4ss = Simplifier.theory_context thy empty_ss
1251 setmksimps single addsimps hol4rews1
1253 Thm.transfer thy (Simplifier.full_rewrite hol4ss (cterm_of thy t))
1256 fun get_isabelle_thm thyname thmname hol4conc thy =
1258 val (info,hol4conc') = disamb_term hol4conc
1259 val i2h_conc = symmetric (rewrite_hol4_term (HOLogic.mk_Trueprop hol4conc') thy)
1261 case concl_of i2h_conc of
1262 Const("==",_) $ lhs $ _ => lhs
1263 | _ => error "get_isabelle_thm" "Bad rewrite rule"
1264 val _ = (message "Original conclusion:";
1265 if_debug prin hol4conc';
1266 message "Modified conclusion:";
1267 if_debug prin isaconc)
1269 fun mk_res th = HOLThm(rens_of info,equal_elim i2h_conc th)
1271 case get_hol4_mapping thyname thmname thy of
1272 SOME (SOME thmname) =>
1274 val th1 = (SOME (PureThy.get_thm thy thmname)
1276 (case split_name thmname of
1277 SOME (listname,idx) => (SOME (List.nth(PureThy.get_thms thy listname,idx-1))
1278 handle _ => NONE) (* FIXME avoid handle _ *)
1283 (case Shuffler.set_prop thy isaconc [(thmname,th2)] of
1284 SOME (_,th) => (message "YES";(thy, SOME (mk_res th)))
1285 | NONE => (message "NO2";error "get_isabelle_thm" "Bad mapping"))
1286 | NONE => (message "NO1";error "get_isabelle_thm" "Bad mapping")
1288 | SOME NONE => error ("Trying to access ignored theorem " ^ thmname)
1291 val _ = (message "Looking for conclusion:";
1292 if_debug prin isaconc)
1293 val cs = non_trivial_term_consts isaconc;
1294 val _ = (message "Looking for consts:";
1295 message (commas cs))
1296 val pot_thms = Shuffler.find_potential thy isaconc
1297 val _ = message ((Int.toString (length pot_thms)) ^ " potential theorems")
1299 case Shuffler.set_prop thy isaconc pot_thms of
1300 SOME (isaname,th) =>
1302 val hth as HOLThm args = mk_res th
1303 val thy' = thy |> add_hol4_theorem thyname thmname args
1304 |> add_hol4_mapping thyname thmname isaname
1305 val _ = ImportRecorder.add_hol_theorem thyname thmname (snd args)
1306 val _ = ImportRecorder.add_hol_mapping thyname thmname isaname
1310 | NONE => (thy,NONE)
1313 handle e => (message "Exception in get_isabelle_thm"; if_debug print_exn e handle _ => (); (thy,NONE))
1315 fun get_isabelle_thm_and_warn thyname thmname hol4conc thy =
1317 val (a, b) = get_isabelle_thm thyname thmname hol4conc thy
1320 val (info,hol4conc') = disamb_term hol4conc
1321 val i2h_conc = symmetric (rewrite_hol4_term (HOLogic.mk_Trueprop hol4conc') thy)
1323 case concl_of i2h_conc of
1324 Const("==",_) $ lhs $ _ =>
1325 (warning ("Failed lookup of theorem '"^thmname^"':");
1326 writeln "Original conclusion:";
1328 writeln "Modified conclusion:";
1334 NONE => (warn () handle _ => (); (a,b)) (* FIXME avoid handle _ *)
1338 fun get_thm thyname thmname thy =
1339 case get_hol4_thm thyname thmname thy of
1340 SOME hth => (thy,SOME hth)
1341 | NONE => ((case import_proof_concl thyname thmname thy of
1342 SOME f => get_isabelle_thm_and_warn thyname thmname (f thy) thy
1343 | NONE => (message "No conclusion"; (thy,NONE)))
1344 handle e as IO.Io _ => (message "IO exception"; (thy,NONE))
1345 | e as PK _ => (message "PK exception"; (thy,NONE)))
1347 fun rename_const thyname thy name =
1348 case get_hol4_const_renaming thyname name thy of
1352 fun get_def thyname constname rhs thy =
1354 val constname = rename_const thyname thy constname
1355 val (thmname,thy') = get_defname thyname constname thy
1356 val _ = message ("Looking for definition " ^ thyname ^ "." ^ thmname)
1358 get_isabelle_thm_and_warn thyname thmname (mk_teq (thyname ^ "." ^ constname) rhs thy') thy'
1361 fun get_axiom thyname axname thy =
1362 case get_thm thyname axname thy of
1363 arg as (_,SOME _) => arg
1364 | _ => raise ERR "get_axiom" ("Trying to retrieve axiom (" ^ axname ^ ")")
1366 fun intern_store_thm gen_output thyname thmname hth thy =
1368 val (hth' as HOLThm (args as (_,th))) = norm_hthm thy hth
1369 val rew = rewrite_hol4_term (concl_of th) thy
1370 val th = equal_elim rew th
1371 val thy' = add_hol4_pending thyname thmname args thy
1372 val _ = ImportRecorder.add_hol_pending thyname thmname (hthm2thm hth')
1373 val th = disambiguate_frees th
1374 val thy2 = if gen_output
1375 then add_dump ("lemma " ^ (quotename thmname) ^ ": " ^
1376 (smart_string_of_thm th) ^ "\n by (import " ^
1377 thyname ^ " " ^ (quotename thmname) ^ ")") thy'
1383 val store_thm = intern_store_thm true
1387 val cty = Thm.ctyp_of_term ctm
1389 Drule.instantiate' [SOME cty] [SOME ctm] reflexivity_thm
1394 val _ = message "REFL:"
1395 val (info,tm') = disamb_term tm
1396 val ctm = Thm.cterm_of thy tm'
1397 val res = HOLThm(rens_of info,mk_REFL ctm)
1398 val _ = if_debug pth res
1405 val _ = message "ASSUME:"
1406 val (info,tm') = disamb_term tm
1407 val ctm = Thm.cterm_of thy (HOLogic.mk_Trueprop tm')
1408 val th = Thm.trivial ctm
1409 val res = HOLThm(rens_of info,th)
1410 val _ = if_debug pth res
1415 fun INST_TYPE lambda (hth as HOLThm(rens,th)) thy =
1417 val _ = message "INST_TYPE:"
1418 val _ = if_debug pth hth
1419 val tys_before = OldTerm.add_term_tfrees (prop_of th,[])
1420 val th1 = Thm.varifyT th
1421 val tys_after = OldTerm.add_term_tvars (prop_of th1,[])
1422 val tyinst = map (fn (bef, iS) =>
1423 (case try (Lib.assoc (TFree bef)) lambda of
1424 SOME ty => (ctyp_of thy (TVar iS), ctyp_of thy ty)
1425 | NONE => (ctyp_of thy (TVar iS), ctyp_of thy (TFree bef))
1427 (zip tys_before tys_after)
1428 val res = Drule.instantiate (tyinst,[]) th1
1429 val hth = HOLThm([],res)
1430 val res = norm_hthm thy hth
1431 val _ = message "RESULT:"
1432 val _ = if_debug pth res
1437 fun INST sigma hth thy =
1439 val _ = message "INST:"
1440 val _ = if_debug (app (fn (x,y) => (prin x; prin y))) sigma
1441 val _ = if_debug pth hth
1442 val (sdom,srng) = ListPair.unzip (rev sigma)
1443 val th = hthm2thm hth
1444 val th1 = mk_INST (map (cterm_of thy) sdom) (map (cterm_of thy) srng) th
1445 val res = HOLThm([],th1)
1446 val _ = message "RESULT:"
1447 val _ = if_debug pth res
1452 fun EQ_IMP_RULE (hth as HOLThm(rens,th)) thy =
1454 val _ = message "EQ_IMP_RULE:"
1455 val _ = if_debug pth hth
1456 val res = HOLThm(rens,th RS eqimp_thm)
1457 val _ = message "RESULT:"
1458 val _ = if_debug pth res
1463 fun mk_EQ_MP th1 th2 = [beta_eta_thm th1, beta_eta_thm th2] MRS eqmp_thm
1465 fun EQ_MP hth1 hth2 thy =
1467 val _ = message "EQ_MP:"
1468 val _ = if_debug pth hth1
1469 val _ = if_debug pth hth2
1470 val (info,[th1,th2]) = disamb_thms [hth1,hth2]
1471 val res = HOLThm(rens_of info,mk_EQ_MP th1 th2)
1472 val _ = message "RESULT:"
1473 val _ = if_debug pth res
1478 fun mk_COMB th1 th2 thy =
1480 val (f,g) = case concl_of th1 of
1481 _ $ (Const("op =",_) $ f $ g) => (f,g)
1482 | _ => raise ERR "mk_COMB" "First theorem not an equality"
1483 val (x,y) = case concl_of th2 of
1484 _ $ (Const("op =",_) $ x $ y) => (x,y)
1485 | _ => raise ERR "mk_COMB" "Second theorem not an equality"
1487 val (fd,fr) = dom_rng fty
1488 val comb_thm' = Drule.instantiate'
1489 [SOME (ctyp_of thy fd),SOME (ctyp_of thy fr)]
1490 [SOME (cterm_of thy f),SOME (cterm_of thy g),
1491 SOME (cterm_of thy x),SOME (cterm_of thy y)] comb_thm
1493 [th1,th2] MRS comb_thm'
1496 fun SUBST rews ctxt hth thy =
1498 val _ = message "SUBST:"
1499 val _ = if_debug (app pth) rews
1500 val _ = if_debug prin ctxt
1501 val _ = if_debug pth hth
1502 val (info,th) = disamb_thm hth
1503 val (info1,ctxt') = disamb_term_from info ctxt
1504 val (info2,rews') = disamb_thms_from info1 rews
1506 val cctxt = cterm_of thy ctxt'
1507 fun subst th [] = th
1508 | subst th (rew::rews) = subst (mk_COMB th rew thy) rews
1509 val res = HOLThm(rens_of info2,mk_EQ_MP (subst (mk_REFL cctxt) rews') th)
1510 val _ = message "RESULT:"
1511 val _ = if_debug pth res
1516 fun DISJ_CASES hth hth1 hth2 thy =
1518 val _ = message "DISJ_CASES:"
1519 val _ = if_debug (app pth) [hth,hth1,hth2]
1520 val (info,th) = disamb_thm hth
1521 val (info1,th1) = disamb_thm_from info hth1
1522 val (info2,th2) = disamb_thm_from info1 hth2
1523 val th1 = norm_hyps th1
1524 val th2 = norm_hyps th2
1525 val (l,r) = case concl_of th of
1526 _ $ (Const("op |",_) $ l $ r) => (l,r)
1527 | _ => raise ERR "DISJ_CASES" "Conclusion not a disjunction"
1528 val th1' = rearrange thy (HOLogic.mk_Trueprop l) th1
1529 val th2' = rearrange thy (HOLogic.mk_Trueprop r) th2
1530 val res1 = th RS disj_cases_thm
1531 val res2 = uniq_compose ((nprems_of th1')-1) th1' ((nprems_of th)+1) res1
1532 val res3 = uniq_compose ((nprems_of th2')-1) th2' (nprems_of res2) res2
1533 val res = HOLThm(rens_of info2,res3)
1534 val _ = message "RESULT:"
1535 val _ = if_debug pth res
1540 fun DISJ1 hth tm thy =
1542 val _ = message "DISJ1:"
1543 val _ = if_debug pth hth
1544 val _ = if_debug prin tm
1545 val (info,th) = disamb_thm hth
1546 val (info',tm') = disamb_term_from info tm
1547 val ct = Thm.cterm_of thy tm'
1548 val disj1_thm' = Drule.instantiate' [] [NONE,SOME ct] disj1_thm
1549 val res = HOLThm(rens_of info',th RS disj1_thm')
1550 val _ = message "RESULT:"
1551 val _ = if_debug pth res
1556 fun DISJ2 tm hth thy =
1558 val _ = message "DISJ1:"
1559 val _ = if_debug prin tm
1560 val _ = if_debug pth hth
1561 val (info,th) = disamb_thm hth
1562 val (info',tm') = disamb_term_from info tm
1563 val ct = Thm.cterm_of thy tm'
1564 val disj2_thm' = Drule.instantiate' [] [NONE,SOME ct] disj2_thm
1565 val res = HOLThm(rens_of info',th RS disj2_thm')
1566 val _ = message "RESULT:"
1567 val _ = if_debug pth res
1572 fun IMP_ANTISYM hth1 hth2 thy =
1574 val _ = message "IMP_ANTISYM:"
1575 val _ = if_debug pth hth1
1576 val _ = if_debug pth hth2
1577 val (info,[th1,th2]) = disamb_thms [hth1,hth2]
1578 val th = [beta_eta_thm th1,beta_eta_thm th2] MRS imp_antisym_thm
1579 val res = HOLThm(rens_of info,th)
1580 val _ = message "RESULT:"
1581 val _ = if_debug pth res
1586 fun SYM (hth as HOLThm(rens,th)) thy =
1588 val _ = message "SYM:"
1589 val _ = if_debug pth hth
1590 val th = th RS symmetry_thm
1591 val res = HOLThm(rens,th)
1592 val _ = message "RESULT:"
1593 val _ = if_debug pth res
1598 fun MP hth1 hth2 thy =
1600 val _ = message "MP:"
1601 val _ = if_debug pth hth1
1602 val _ = if_debug pth hth2
1603 val (info,[th1,th2]) = disamb_thms [hth1,hth2]
1604 val th = [beta_eta_thm th1,beta_eta_thm th2] MRS mp_thm
1605 val res = HOLThm(rens_of info,th)
1606 val _ = message "RESULT:"
1607 val _ = if_debug pth res
1612 fun CONJ hth1 hth2 thy =
1614 val _ = message "CONJ:"
1615 val _ = if_debug pth hth1
1616 val _ = if_debug pth hth2
1617 val (info,[th1,th2]) = disamb_thms [hth1,hth2]
1618 val th = [th1,th2] MRS conj_thm
1619 val res = HOLThm(rens_of info,th)
1620 val _ = message "RESULT:"
1621 val _ = if_debug pth res
1626 fun CONJUNCT1 (hth as HOLThm(rens,th)) thy =
1628 val _ = message "CONJUNCT1:"
1629 val _ = if_debug pth hth
1630 val res = HOLThm(rens,th RS conjunct1_thm)
1631 val _ = message "RESULT:"
1632 val _ = if_debug pth res
1637 fun CONJUNCT2 (hth as HOLThm(rens,th)) thy =
1639 val _ = message "CONJUNCT1:"
1640 val _ = if_debug pth hth
1641 val res = HOLThm(rens,th RS conjunct2_thm)
1642 val _ = message "RESULT:"
1643 val _ = if_debug pth res
1648 fun EXISTS ex wit hth thy =
1650 val _ = message "EXISTS:"
1651 val _ = if_debug prin ex
1652 val _ = if_debug prin wit
1653 val _ = if_debug pth hth
1654 val (info,th) = disamb_thm hth
1655 val (info',[ex',wit']) = disamb_terms_from info [ex,wit]
1656 val cwit = cterm_of thy wit'
1657 val cty = ctyp_of_term cwit
1659 (Const("Ex",_) $ a) => a
1660 | _ => raise ERR "EXISTS" "Argument not existential"
1661 val ca = cterm_of thy a
1662 val exists_thm' = beta_eta_thm (Drule.instantiate' [SOME cty] [SOME ca,SOME cwit] exists_thm)
1663 val th1 = beta_eta_thm th
1664 val th2 = implies_elim_all th1
1665 val th3 = th2 COMP exists_thm'
1666 val th = implies_intr_hyps th3
1667 val res = HOLThm(rens_of info',th)
1668 val _ = message "RESULT:"
1669 val _ = if_debug pth res
1674 fun CHOOSE v hth1 hth2 thy =
1676 val _ = message "CHOOSE:"
1677 val _ = if_debug prin v
1678 val _ = if_debug pth hth1
1679 val _ = if_debug pth hth2
1680 val (info,[th1,th2]) = disamb_thms [hth1,hth2]
1681 val (info',v') = disamb_term_from info v
1682 fun strip 0 _ th = th
1683 | strip n (p::ps) th =
1684 strip (n-1) ps (implies_elim th (assume p))
1685 | strip _ _ _ = raise ERR "CHOOSE" "strip error"
1686 val cv = cterm_of thy v'
1687 val th2 = norm_hyps th2
1688 val cvty = ctyp_of_term cv
1689 val c = HOLogic.dest_Trueprop (concl_of th2)
1690 val cc = cterm_of thy c
1691 val a = case concl_of th1 of
1692 _ $ (Const("Ex",_) $ a) => a
1693 | _ => raise ERR "CHOOSE" "Conclusion not existential"
1694 val ca = cterm_of (theory_of_thm th1) a
1695 val choose_thm' = beta_eta_thm (Drule.instantiate' [SOME cvty] [SOME ca,SOME cc] choose_thm)
1696 val th21 = rearrange thy (HOLogic.mk_Trueprop (a $ v')) th2
1697 val th22 = strip ((nprems_of th21)-1) (cprems_of th21) th21
1698 val th23 = beta_eta_thm (forall_intr cv th22)
1699 val th11 = implies_elim_all (beta_eta_thm th1)
1700 val th' = th23 COMP (th11 COMP choose_thm')
1701 val th = implies_intr_hyps th'
1702 val res = HOLThm(rens_of info',th)
1703 val _ = message "RESULT:"
1704 val _ = if_debug pth res
1711 val _ = message "GEN:"
1712 val _ = if_debug prin v
1713 val _ = if_debug pth hth
1714 val (info,th) = disamb_thm hth
1715 val (info',v') = disamb_term_from info v
1716 val res = HOLThm(rens_of info',mk_GEN v' th thy)
1717 val _ = message "RESULT:"
1718 val _ = if_debug pth res
1723 fun SPEC tm hth thy =
1725 val _ = message "SPEC:"
1726 val _ = if_debug prin tm
1727 val _ = if_debug pth hth
1728 val (info,th) = disamb_thm hth
1729 val (info',tm') = disamb_term_from info tm
1730 val ctm = Thm.cterm_of thy tm'
1731 val cty = Thm.ctyp_of_term ctm
1732 val spec' = Drule.instantiate' [SOME cty] [NONE,SOME ctm] spec_thm
1733 val th = th RS spec'
1734 val res = HOLThm(rens_of info',th)
1735 val _ = message "RESULT:"
1736 val _ = if_debug pth res
1741 fun COMB hth1 hth2 thy =
1743 val _ = message "COMB:"
1744 val _ = if_debug pth hth1
1745 val _ = if_debug pth hth2
1746 val (info,[th1,th2]) = disamb_thms [hth1,hth2]
1747 val res = HOLThm(rens_of info,mk_COMB th1 th2 thy)
1748 val _ = message "RESULT:"
1749 val _ = if_debug pth res
1754 fun TRANS hth1 hth2 thy =
1756 val _ = message "TRANS:"
1757 val _ = if_debug pth hth1
1758 val _ = if_debug pth hth2
1759 val (info,[th1,th2]) = disamb_thms [hth1,hth2]
1760 val th = [th1,th2] MRS trans_thm
1761 val res = HOLThm(rens_of info,th)
1762 val _ = message "RESULT:"
1763 val _ = if_debug pth res
1769 fun CCONTR tm hth thy =
1771 val _ = message "SPEC:"
1772 val _ = if_debug prin tm
1773 val _ = if_debug pth hth
1774 val (info,th) = disamb_thm hth
1775 val (info',tm') = disamb_term_from info tm
1776 val th = norm_hyps th
1777 val ct = cterm_of thy tm'
1778 val th1 = rearrange thy (HOLogic.mk_Trueprop (Const("Not",boolT-->boolT) $ tm')) th
1779 val ccontr_thm' = Drule.instantiate' [] [SOME ct] ccontr_thm
1780 val res1 = uniq_compose ((nprems_of th1) - 1) th1 1 ccontr_thm'
1781 val res = HOLThm(rens_of info',res1)
1782 val _ = message "RESULT:"
1783 val _ = if_debug pth res
1788 fun mk_ABS v th thy =
1790 val cv = cterm_of thy v
1791 val th1 = implies_elim_all (beta_eta_thm th)
1792 val (f,g) = case concl_of th1 of
1793 _ $ (Const("op =",_) $ f $ g) => (Term.lambda v f,Term.lambda v g)
1794 | _ => raise ERR "mk_ABS" "Bad conclusion"
1795 val (fd,fr) = dom_rng (type_of f)
1796 val abs_thm' = Drule.instantiate' [SOME (ctyp_of thy fd), SOME (ctyp_of thy fr)] [SOME (cterm_of thy f), SOME (cterm_of thy g)] abs_thm
1797 val th2 = forall_intr cv th1
1798 val th3 = th2 COMP abs_thm'
1799 val res = implies_intr_hyps th3
1806 val _ = message "ABS:"
1807 val _ = if_debug prin v
1808 val _ = if_debug pth hth
1809 val (info,th) = disamb_thm hth
1810 val (info',v') = disamb_term_from info v
1811 val res = HOLThm(rens_of info',mk_ABS v' th thy)
1812 val _ = message "RESULT:"
1813 val _ = if_debug pth res
1818 fun GEN_ABS copt vlist hth thy =
1820 val _ = message "GEN_ABS:"
1821 val _ = case copt of
1822 SOME c => if_debug prin c
1824 val _ = if_debug (app prin) vlist
1825 val _ = if_debug pth hth
1826 val (info,th) = disamb_thm hth
1827 val (info',vlist') = disamb_terms_from info vlist
1830 SOME (c as Const(cname,cty)) =>
1832 fun inst_type ty1 ty2 (TVar _) = raise ERR "GEN_ABS" "Type variable found!"
1833 | inst_type ty1 ty2 (ty as TFree _) = if ty1 = ty
1836 | inst_type ty1 ty2 (ty as Type(name,tys)) =
1837 Type(name,map (inst_type ty1 ty2) tys)
1839 List.foldr (fn (v,th) =>
1841 val cdom = fst (dom_rng (fst (dom_rng cty)))
1843 val newcty = inst_type cdom vty cty
1844 val cc = cterm_of thy (Const(cname,newcty))
1846 mk_COMB (mk_REFL cc) (mk_ABS v th thy) thy
1849 | SOME _ => raise ERR "GEN_ABS" "Bad constant"
1851 List.foldr (fn (v,th) => mk_ABS v th thy) th vlist'
1852 val res = HOLThm(rens_of info',th1)
1853 val _ = message "RESULT:"
1854 val _ = if_debug pth res
1859 fun NOT_INTRO (hth as HOLThm(rens,th)) thy =
1861 val _ = message "NOT_INTRO:"
1862 val _ = if_debug pth hth
1863 val th1 = implies_elim_all (beta_eta_thm th)
1864 val a = case concl_of th1 of
1865 _ $ (Const("op -->",_) $ a $ Const("False",_)) => a
1866 | _ => raise ERR "NOT_INTRO" "Conclusion of bad form"
1867 val ca = cterm_of thy a
1868 val th2 = equal_elim (Drule.instantiate' [] [SOME ca] not_intro_thm) th1
1869 val res = HOLThm(rens,implies_intr_hyps th2)
1870 val _ = message "RESULT:"
1871 val _ = if_debug pth res
1876 fun NOT_ELIM (hth as HOLThm(rens,th)) thy =
1878 val _ = message "NOT_INTRO:"
1879 val _ = if_debug pth hth
1880 val th1 = implies_elim_all (beta_eta_thm th)
1881 val a = case concl_of th1 of
1882 _ $ (Const("Not",_) $ a) => a
1883 | _ => raise ERR "NOT_ELIM" "Conclusion of bad form"
1884 val ca = cterm_of thy a
1885 val th2 = equal_elim (Drule.instantiate' [] [SOME ca] not_elim_thm) th1
1886 val res = HOLThm(rens,implies_intr_hyps th2)
1887 val _ = message "RESULT:"
1888 val _ = if_debug pth res
1893 fun DISCH tm hth thy =
1895 val _ = message "DISCH:"
1896 val _ = if_debug prin tm
1897 val _ = if_debug pth hth
1898 val (info,th) = disamb_thm hth
1899 val (info',tm') = disamb_term_from info tm
1900 val prems = prems_of th
1901 val th1 = beta_eta_thm th
1902 val th2 = implies_elim_all th1
1903 val th3 = implies_intr (cterm_of thy (HOLogic.mk_Trueprop tm')) th2
1904 val th4 = th3 COMP disch_thm
1905 val res = HOLThm(rens_of info',implies_intr_hyps th4)
1906 val _ = message "RESULT:"
1907 val _ = if_debug pth res
1912 val spaces = String.concat o separate " "
1914 fun new_definition thyname constname rhs thy =
1916 val constname = rename_const thyname thy constname
1917 val redeclared = isSome (Sign.const_type thy (Sign.intern_const thy constname));
1918 val _ = warning ("Introducing constant " ^ constname)
1919 val (thmname,thy) = get_defname thyname constname thy
1920 val (info,rhs') = disamb_term rhs
1921 val ctype = type_of rhs'
1922 val csyn = mk_syn thy constname
1923 val thy1 = case HOL4DefThy.get thy of
1925 | _ => (ImportRecorder.add_consts [(constname, ctype, csyn)];
1926 Sign.add_consts_i [(Binding.name constname,ctype,csyn)] thy)
1927 val eq = mk_defeq constname rhs' thy1
1928 val (thms, thy2) = PureThy.add_defs false [((Binding.name thmname,eq),[])] thy1
1929 val _ = ImportRecorder.add_defs thmname eq
1930 val def_thm = hd thms
1931 val thm' = def_thm RS meta_eq_to_obj_eq_thm
1932 val (thy',th) = (thy2, thm')
1933 val fullcname = Sign.intern_const thy' constname
1934 val thy'' = add_hol4_const_mapping thyname constname true fullcname thy'
1935 val _ = ImportRecorder.add_hol_const_mapping thyname constname fullcname
1936 val (linfo,tm24) = disamb_term (mk_teq constname rhs' thy'')
1937 val rew = rewrite_hol4_term eq thy''
1938 val crhs = cterm_of thy'' (#2 (Logic.dest_equals (prop_of rew)))
1939 val thy22 = if Thm.def_name constname = thmname andalso not redeclared andalso csyn = NoSyn
1942 val p1 = quotename constname
1943 val p2 = Syntax.string_of_typ_global thy'' ctype
1944 val p3 = string_of_mixfix csyn
1945 val p4 = smart_string_of_cterm crhs
1947 add_dump ("constdefs\n " ^ p1 ^ " :: \"" ^ p2 ^ "\" "^ p3 ^ "\n " ^ p4) thy''
1950 add_dump ("consts\n " ^ quotename constname ^ " :: \"" ^
1951 Syntax.string_of_typ_global thy'' ctype ^
1952 "\" " ^ string_of_mixfix csyn ^ "\n\ndefs\n " ^
1953 quotename thmname ^ ": " ^ smart_string_of_cterm crhs) thy''
1954 val hth = case Shuffler.set_prop thy22 (HOLogic.mk_Trueprop tm24) [("",th)] of
1955 SOME (_,res) => HOLThm(rens_of linfo,res)
1956 | NONE => raise ERR "new_definition" "Bad conclusion"
1957 val fullname = Sign.full_bname thy22 thmname
1958 val thy22' = case opt_get_output_thy thy22 of
1959 "" => (ImportRecorder.add_hol_mapping thyname thmname fullname;
1960 add_hol4_mapping thyname thmname fullname thy22)
1963 val moved_thmname = output_thy ^ "." ^ thyname ^ "." ^ thmname
1964 val _ = ImportRecorder.add_hol_move fullname moved_thmname
1965 val _ = ImportRecorder.add_hol_mapping thyname thmname moved_thmname
1967 thy22 |> add_hol4_move fullname moved_thmname
1968 |> add_hol4_mapping thyname thmname moved_thmname
1970 val _ = message "new_definition:"
1971 val _ = if_debug pth hth
1975 handle e => (message "exception in new_definition"; print_exn e)
1978 val helper = thm "termspec_help"
1980 fun new_specification thyname thmname names hth thy =
1981 case HOL4DefThy.get thy of
1982 Replaying _ => (thy,hth)
1985 val _ = message "NEW_SPEC:"
1986 val _ = if_debug pth hth
1987 val names = map (rename_const thyname thy) names
1988 val _ = warning ("Introducing constants " ^ commas names)
1989 val (HOLThm(rens,th)) = norm_hthm thy hth
1990 val thy1 = case HOL4DefThy.get thy of
1994 fun dest_eta_abs (Abs(x,xT,body)) = (x,xT,body)
1995 | dest_eta_abs body =
1997 val (dT,rT) = dom_rng (type_of body)
1999 ("x",dT,body $ Bound 0)
2001 handle TYPE _ => raise ERR "new_specification" "not an abstraction type"
2002 fun dest_exists (Const("Ex",_) $ abody) =
2005 raise ERR "new_specification" "Bad existential formula"
2007 val (consts,_) = Library.foldl (fn ((cs,ex),cname) =>
2009 val (_,cT,p) = dest_exists ex
2011 ((cname,cT,mk_syn thy cname)::cs,p)
2012 end) (([],HOLogic.dest_Trueprop (concl_of th)),names)
2013 val str = Library.foldl (fn (acc, (c, T, csyn)) =>
2014 acc ^ "\n " ^ quotename c ^ " :: \"" ^
2015 Syntax.string_of_typ_global thy T ^ "\" " ^ string_of_mixfix csyn) ("consts", consts)
2016 val thy' = add_dump str thy
2017 val _ = ImportRecorder.add_consts consts
2019 Sign.add_consts_i (map (fn (c, T, mx) => (Binding.name c, T, mx)) consts) thy'
2022 val thy1 = List.foldr (fn(name,thy)=>
2023 snd (get_defname thyname name thy)) thy1 names
2024 fun new_name name = fst (get_defname thyname name thy1)
2025 val names' = map (fn name => (new_name name,name,false)) names
2026 val (thy',res) = Choice_Specification.add_specification NONE
2029 val _ = ImportRecorder.add_specification names' th
2030 val res' = Thm.unvarify res
2031 val hth = HOLThm(rens,res')
2032 val rew = rewrite_hol4_term (concl_of res') thy'
2033 val th = equal_elim rew res'
2034 fun handle_const (name,thy) =
2036 val defname = Thm.def_name name
2037 val (newname,thy') = get_defname thyname name thy
2039 (if defname = newname
2041 else (quotename newname) ^ ": " ^ (quotename name),thy')
2043 val (new_names,thy') = List.foldr (fn(name,(names,thy)) =>
2045 val (name',thy') = handle_const (name,thy)
2048 end) ([],thy') names
2049 val thy'' = add_dump ("specification (" ^ (spaces new_names) ^ ") " ^ thmname ^ ": " ^ (smart_string_of_thm th) ^
2050 "\n by (import " ^ thyname ^ " " ^ thmname ^ ")")
2052 val _ = message "RESULT:"
2053 val _ = if_debug pth hth
2055 intern_store_thm false thyname thmname hth thy''
2057 handle e => (message "exception in new_specification"; print_exn e)
2061 fun new_axiom name tm thy = raise ERR "new_axiom" ("Oh, no you don't! (" ^ name ^ ")")
2063 fun to_isa_thm (hth as HOLThm(_,th)) =
2065 val (HOLThm args) = norm_hthm (theory_of_thm th) hth
2067 apsnd strip_shyps args
2070 fun to_isa_term tm = tm
2073 val light_nonempty = thm "light_ex_imp_nonempty"
2074 val ex_imp_nonempty = thm "ex_imp_nonempty"
2075 val typedef_hol2hol4 = thm "typedef_hol2hol4"
2076 val typedef_hol2hollight = thm "typedef_hol2hollight"
2078 fun new_type_definition thyname thmname tycname hth thy =
2079 case HOL4DefThy.get thy of
2080 Replaying _ => (thy,hth)
2083 val _ = message "TYPE_DEF:"
2084 val _ = if_debug pth hth
2085 val _ = warning ("Introducing type " ^ tycname)
2086 val (HOLThm(rens,td_th)) = norm_hthm thy hth
2087 val th2 = beta_eta_thm (td_th RS ex_imp_nonempty)
2088 val c = case concl_of th2 of
2089 _ $ (Const("Ex",_) $ Abs(_,_,Const("op :",_) $ _ $ c)) => c
2090 | _ => raise ERR "new_type_definition" "Bad type definition theorem"
2091 val tfrees = OldTerm.term_tfrees c
2092 val tnames = map fst tfrees
2093 val tsyn = mk_syn thy tycname
2094 val typ = (tycname,tnames,tsyn)
2095 val ((_, typedef_info), thy') =
2096 Typedef.add_typedef false (SOME (Binding.name thmname))
2097 (Binding.name tycname, tnames, tsyn) c NONE (rtac th2 1) thy
2098 val _ = ImportRecorder.add_typedef (SOME thmname) typ c NONE th2
2100 val th3 = (#type_definition typedef_info) RS typedef_hol2hol4
2102 val fulltyname = Sign.intern_type thy' tycname
2103 val thy'' = add_hol4_type_mapping thyname tycname true fulltyname thy'
2104 val _ = ImportRecorder.add_hol_type_mapping thyname tycname fulltyname
2106 val (hth' as HOLThm args) = norm_hthm thy'' (HOLThm(rens,th3))
2107 val _ = if has_ren hth' then warning ("Theorem " ^ thmname ^ " needs variable-disambiguating")
2109 val thy4 = add_hol4_pending thyname thmname args thy''
2110 val _ = ImportRecorder.add_hol_pending thyname thmname (hthm2thm hth')
2112 val rew = rewrite_hol4_term (concl_of td_th) thy4
2113 val th = equal_elim rew (Thm.transfer thy4 td_th)
2114 val c = case HOLogic.dest_Trueprop (prop_of th) of
2115 Const("Ex",exT) $ P =>
2117 val PT = domain_type exT
2119 Const("Collect",PT-->HOLogic.mk_setT (domain_type PT)) $ P
2121 | _ => error "Internal error in ProofKernel.new_typedefinition"
2122 val tnames_string = if null tnames
2124 else "(" ^ commas tnames ^ ") "
2125 val proc_prop = if null tnames
2126 then smart_string_of_cterm
2127 else Library.setmp show_all_types true smart_string_of_cterm
2128 val thy5 = add_dump ("typedef (open) " ^ tnames_string ^ (quotename tycname) ^ " = " ^ (proc_prop (cterm_of thy4 c)) ^ " "
2129 ^ (string_of_mixfix tsyn) ^ "\n by (rule typedef_helper,import " ^ thyname ^ " " ^ thmname ^ ")") thy4
2131 val thy6 = add_dump ("lemmas " ^ thmname ^ " = typedef_hol2hol4 [OF type_definition_" ^ tycname ^ "]") thy5
2133 val _ = message "RESULT:"
2134 val _ = if_debug pth hth'
2138 handle e => (message "exception in new_type_definition"; print_exn e)
2140 fun add_dump_constdefs thy defname constname rhs ty =
2142 val n = quotename constname
2143 val t = Syntax.string_of_typ_global thy ty
2144 val syn = string_of_mixfix (mk_syn thy constname)
2145 (*val eq = smart_string_of_cterm (cterm_of thy (Const(rhs, ty)))*)
2146 val eq = quote (constname ^ " == "^rhs)
2147 val d = case defname of NONE => "" | SOME defname => (quotename defname)^" : "
2149 add_dump ("constdefs\n " ^ n ^ " :: \"" ^ t ^ "\" " ^ syn ^ "\n " ^ d ^ eq) thy
2152 fun add_dump_syntax thy name =
2154 val n = quotename name
2155 val syn = string_of_mixfix (mk_syn thy name)
2157 add_dump ("syntax\n "^n^" :: _ "^syn) thy
2160 fun type_introduction thyname thmname tycname abs_name rep_name (P,t) hth thy =
2161 case HOL4DefThy.get thy of
2162 Replaying _ => (thy,
2163 HOLThm([], PureThy.get_thm thy (thmname^"_@intern")) handle ERROR _ => hth)
2166 val _ = message "TYPE_INTRO:"
2167 val _ = if_debug pth hth
2168 val _ = warning ("Introducing type " ^ tycname ^ " (with morphisms " ^ abs_name ^ " and " ^ rep_name ^ ")")
2169 val (HOLThm(rens,td_th)) = norm_hthm thy hth
2171 val light_nonempty' =
2172 Drule.instantiate' [SOME (ctyp_of thy tT)]
2173 [SOME (cterm_of thy P),
2174 SOME (cterm_of thy t)] light_nonempty
2175 val th2 = beta_eta_thm (td_th RS (beta_eta_thm light_nonempty'))
2176 val c = case concl_of th2 of
2177 _ $ (Const("Ex",_) $ Abs(_,_,Const("op :",_) $ _ $ c)) => c
2178 | _ => raise ERR "type_introduction" "Bad type definition theorem"
2179 val tfrees = OldTerm.term_tfrees c
2180 val tnames = sort string_ord (map fst tfrees)
2181 val tsyn = mk_syn thy tycname
2182 val typ = (tycname,tnames,tsyn)
2183 val ((_, typedef_info), thy') =
2184 Typedef.add_typedef false NONE (Binding.name tycname,tnames,tsyn) c
2185 (SOME(Binding.name rep_name,Binding.name abs_name)) (rtac th2 1) thy
2186 val _ = ImportRecorder.add_typedef NONE typ c (SOME(rep_name,abs_name)) th2
2187 val fulltyname = Sign.intern_type thy' tycname
2188 val aty = Type (fulltyname, map mk_vartype tnames)
2189 val abs_ty = tT --> aty
2190 val rep_ty = aty --> tT
2191 val typedef_hol2hollight' =
2193 [SOME (ctyp_of thy' aty), SOME (ctyp_of thy' tT)]
2194 [NONE, NONE, NONE, SOME (cterm_of thy' (Free ("a", aty))), SOME (cterm_of thy' (Free ("r", tT)))]
2195 typedef_hol2hollight
2196 val th4 = (#type_definition typedef_info) RS typedef_hol2hollight'
2197 val _ = null (Thm.fold_terms Term.add_tvars th4 []) orelse
2198 raise ERR "type_introduction" "no type variables expected any more"
2199 val _ = null (Thm.fold_terms Term.add_vars th4 []) orelse
2200 raise ERR "type_introduction" "no term variables expected any more"
2201 val _ = message ("step 3: thyname="^thyname^", tycname="^tycname^", fulltyname="^fulltyname)
2202 val thy'' = add_hol4_type_mapping thyname tycname true fulltyname thy'
2203 val _ = ImportRecorder.add_hol_type_mapping thyname tycname fulltyname
2204 val _ = message "step 4"
2205 val (hth' as HOLThm args) = norm_hthm thy'' (HOLThm(rens,th4))
2206 val thy4 = add_hol4_pending thyname thmname args thy''
2207 val _ = ImportRecorder.add_hol_pending thyname thmname (hthm2thm hth')
2209 val P' = P (* why !? #2 (Logic.dest_equals (concl_of (rewrite_hol4_term P thy4))) *)
2214 Const("Collect",PT-->HOLogic.mk_setT (domain_type PT)) $ P'
2217 val tnames_string = if null tnames
2219 else "(" ^ commas tnames ^ ") "
2220 val proc_prop = if null tnames
2221 then smart_string_of_cterm
2222 else Library.setmp show_all_types true smart_string_of_cterm
2223 val thy = add_dump ("typedef (open) " ^ tnames_string ^ (quotename tycname) ^
2224 " = " ^ (proc_prop (cterm_of thy4 c)) ^ " " ^
2225 (string_of_mixfix tsyn) ^ " morphisms "^
2226 (quote rep_name)^" "^(quote abs_name)^"\n"^
2227 (" apply (rule light_ex_imp_nonempty[where t="^
2228 (proc_prop (cterm_of thy4 t))^"])\n"^
2229 (" by (import " ^ thyname ^ " " ^ (quotename thmname) ^ ")"))) thy4
2230 val str_aty = Syntax.string_of_typ_global thy aty
2231 val thy = add_dump_syntax thy rep_name
2232 val thy = add_dump_syntax thy abs_name
2233 val thy = add_dump ("lemmas " ^ (quote (thmname^"_@intern")) ^
2234 " = typedef_hol2hollight \n"^
2235 " [where a=\"a :: "^str_aty^"\" and r=r" ^
2236 " ,\n OF "^(quotename ("type_definition_" ^ tycname)) ^ "]") thy
2237 val _ = message "RESULT:"
2238 val _ = if_debug pth hth'
2242 handle e => (message "exception in type_introduction"; print_exn e)