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)
181 val string_of_mixfix = Pretty.string_of o Mixfix.pretty_mixfix;
184 if Lexicon.is_identifier c andalso not (Syntax.is_keyword (Sign.syn_of thy) c) then NoSyn
185 else Delimfix (Syntax_Ext.escape c)
188 if Lexicon.is_identifier c andalso not (Keyword.is_keyword c) then c else quote c
190 fun simple_smart_string_of_cterm ctxt0 ct =
193 |> Config.put show_brackets false
194 |> Config.put show_all_types true
195 |> Config.put show_sorts true
196 |> Config.put Syntax.ambiguity_enabled true;
197 val {t,T,...} = rep_cterm ct
198 (* Hack to avoid parse errors with Trueprop *)
199 val ct = cterm_of (Thm.theory_of_cterm ct) (HOLogic.dest_Trueprop t)
202 quote (Print_Mode.setmp [] (Syntax.string_of_term ctxt o Thm.term_of) ct)
205 exception SMART_STRING
207 fun smart_string_of_cterm ctxt0 ct =
209 val ctxt = ctxt0 |> Config.put Syntax.ambiguity_enabled false;
210 val {t,T,...} = rep_cterm ct
211 (* Hack to avoid parse errors with Trueprop *)
212 val ct = cterm_of (Thm.theory_of_cterm ct) (HOLogic.dest_Trueprop t)
214 fun match u = t aconv u
215 fun G 0 f ctxt x = f (Config.put show_types true (Config.put show_sorts true ctxt)) x
216 | G 1 f ctxt x = G 0 f (Config.put show_brackets true ctxt) x
217 | G 2 f ctxt x = G 0 f (Config.put show_all_types true ctxt) x
218 | G 3 f ctxt x = G 2 f (Config.put show_brackets true ctxt) x
219 | G _ _ _ _ = raise SMART_STRING
223 G n Syntax.string_of_term (Config.put show_brackets false ctxt) (term_of ct)
224 val u = Syntax.parse_term ctxt str
225 |> Type.constraint T |> Syntax.check_term ctxt
231 handle ERROR mesg => F (n + 1)
233 error ("smart_string failed for: "^ G 0 Syntax.string_of_term ctxt (term_of ct))
235 Print_Mode.setmp [] F 0
237 handle ERROR mesg => simple_smart_string_of_cterm ctxt0 ct
239 fun smart_string_of_thm ctxt = smart_string_of_cterm ctxt o cprop_of
241 fun prth th = writeln (Print_Mode.setmp [] Display.string_of_thm_without_context th);
242 fun prin t = writeln (Print_Mode.setmp []
243 (fn () => Syntax.string_of_term (ML_Context.the_local_context ()) t) ());
244 fun pth (HOLThm(ren,thm)) =
246 (*val _ = writeln "Renaming:"
247 val _ = app (fn(v,w) => (prin v; writeln " -->"; prin w)) ren*)
253 fun disk_info_of (Proof(Info{disk_info,...},_)) = !disk_info
254 fun mk_proof p = Proof(Info{disk_info = Unsynchronized.ref NONE},p)
255 fun content_of (Proof(_,p)) = p
257 fun set_disk_info_of (Proof(Info{disk_info,...},_)) thyname thmname =
258 disk_info := SOME(thyname,thmname)
265 fun F [] = raise PK("Lib.assoc","Not found")
266 | F ((x',y)::rest) = if x = x'
274 let fun itr [] = false
275 | itr (a::rst) = i=a orelse itr rst
281 | (a::rst) union S2 = rst union (insert (op =) a S2);
283 fun implode_subst [] = []
284 | implode_subst (x::r::rest) = ((x,r)::(implode_subst rest))
285 | implode_subst _ = raise ERR "implode_subst" "malformed substitution list"
292 val empty_tag = Tag []
293 fun read name = Tag [name]
294 fun merge (Tag tag1) (Tag tag2) = Tag (Lib.union(tag1,tag2))
299 fun get_segment thyname l = (Lib.assoc "s" l
300 handle PK _ => thyname)
301 val get_name : (string * string) list -> string = Lib.assoc "n"
310 exception XML of string
312 datatype xml = Elem of string * (string * string) list * xml list
313 datatype XMLtype = XMLty of xml | FullType of hol_type
314 datatype XMLterm = XMLtm of xml | FullTerm of term
320 val (x,toks2) = one Char.isAlpha toks
321 val (xs,toks3) = any Char.isAlphaNum toks2
323 (String.implode (x::xs),toks3)
326 fun scan_string str c =
328 fun F [] toks = (c,toks)
330 case LazySeq.getItem toks of
334 else raise SyntaxError
335 | NONE => raise SyntaxError
337 F (String.explode str)
342 (scan_string "amp;" #"&")
343 || scan_string "quot;" #"\""
344 || scan_string "gt;" #">"
345 || scan_string "lt;" #"<"
346 || scan_string "apos;" #"'"
348 fun scan_nonquote toks =
349 case LazySeq.getItem toks of
352 #"\"" => raise SyntaxError
353 | #"&" => scan_entity toks'
355 | NONE => raise SyntaxError
358 val scan_string = $$ #"\"" |-- repeat scan_nonquote --| $$ #"\"" >>
361 val scan_attribute = scan_id -- $$ #"=" |-- scan_string
363 val scan_start_of_tag = $$ #"<" |-- scan_id --
364 repeat ($$ #" " |-- scan_attribute)
366 fun scan_end_of_tag toks = ($$ #"/" |-- $$ #">" |-- succeed []) toks
368 val scan_end_tag = $$ #"<" |-- $$ #"/" |-- scan_id --| $$ #">"
370 fun scan_children id = $$ #">" |-- repeat scan_tag -- scan_end_tag >>
371 (fn (chldr,id') => if id = id'
373 else raise XML "Tag mismatch")
376 val ((id,atts),toks2) = scan_start_of_tag toks
377 val (chldr,toks3) = (scan_children id || scan_end_of_tag) toks2
379 (Elem (id,atts,chldr),toks3)
383 val type_of = Term.type_of
385 val propT = Type("prop",[])
387 fun mk_defeq name rhs thy =
391 Logic.mk_equals (Const(Sign.intern_const thy name,ty),rhs)
394 fun mk_teq name rhs thy =
398 HOLogic.mk_eq (Const(Sign.intern_const thy name,ty),rhs)
401 fun intern_const_name thyname const thy =
402 case get_hol4_const_mapping thyname const thy of
403 SOME (_,cname,_) => cname
404 | NONE => (case get_hol4_const_renaming thyname const thy of
405 SOME cname => Sign.intern_const thy (thyname ^ "." ^ cname)
406 | NONE => Sign.intern_const thy (thyname ^ "." ^ const))
408 fun intern_type_name thyname const thy =
409 case get_hol4_type_mapping thyname const thy of
410 SOME (_,cname) => cname
411 | NONE => Sign.intern_const thy (thyname ^ "." ^ const)
413 fun mk_vartype name = TFree(name,["HOL.type"])
414 fun mk_thy_type thy Thy Tyop Args = Type(intern_type_name Thy Tyop thy,Args)
418 fun mk_thy_const thy Thy Nam Ty = Const(intern_const_name Thy Nam thy,Ty)
421 fun get_const sg thyname name =
422 (case Sign.const_type sg name of
423 SOME ty => Const (name, ty)
424 | NONE => raise ERR "get_type" (name ^ ": No such constant"))
426 fun prim_mk_const thy Thy Nam =
428 val name = intern_const_name Thy Nam thy
429 val cmaps = HOL4ConstMaps.get thy
431 case StringPair.lookup cmaps (Thy,Nam) of
432 SOME(_,_,SOME ty) => Const(name,ty)
433 | _ => get_const thy Thy name
437 fun mk_comb(f,a) = f $ a
439 (* Needed for HOL Light *)
440 fun protect_tyvarname s =
443 if Char.contains s #"?"
444 then String.translate (fn #"?" => "q_" | c => Char.toString c) s
447 if String.isPrefix "'" s
451 s |> no_quest |> beg_prime
454 val protected_varnames = Unsynchronized.ref (Symtab.empty:string Symtab.table)
455 val invented_isavar = Unsynchronized.ref 0
457 fun innocent_varname s = Lexicon.is_identifier s andalso not (String.isPrefix "u_" s)
459 fun valid_boundvarname s =
460 can (fn () => Syntax.read_term_global @{theory Main} ("SOME "^s^". True")) ();
462 fun valid_varname s =
463 can (fn () => Syntax.read_term_global @{theory Main} s) ();
465 fun protect_varname s =
466 if innocent_varname s andalso valid_varname s then s else
467 case Symtab.lookup (!protected_varnames) s of
471 val _ = Unsynchronized.inc invented_isavar
472 val t = "u_" ^ string_of_int (!invented_isavar)
473 val _ = ImportRecorder.protect_varname s t
474 val _ = protected_varnames := Symtab.update (s, t) (!protected_varnames)
479 exception REPLAY_PROTECT_VARNAME of string*string*string
481 fun replay_protect_varname s t =
482 case Symtab.lookup (!protected_varnames) s of
483 SOME t' => raise REPLAY_PROTECT_VARNAME (s, t, t')
486 val _ = Unsynchronized.inc invented_isavar
487 val t = "u_" ^ string_of_int (!invented_isavar)
488 val _ = protected_varnames := Symtab.update (s, t) (!protected_varnames)
493 fun protect_boundvarname s = if innocent_varname s andalso valid_boundvarname s then s else "u"
495 fun mk_lambda (v as Free (x, T)) t = Abs (protect_boundvarname x, T, abstract_over (v, t))
496 | mk_lambda (v as Var ((x, _), T)) t = Abs (protect_boundvarname x, T, abstract_over (v, t))
497 | mk_lambda v t = raise TERM ("lambda", [v, t]);
499 fun replacestr x y s =
501 val xl = raw_explode x
502 val yl = raw_explode y
503 fun isprefix [] ys = true
504 | isprefix (x::xs) (y::ys) = if x = y then isprefix xs ys else false
505 | isprefix _ _ = false
506 fun isp s = isprefix xl s
507 fun chg s = yl@(List.drop (s, List.length xl))
509 | r (S as (s::ss)) = if isp S then r (chg S) else s::(r ss)
511 implode(r (raw_explode s))
514 fun protect_factname s = replacestr "." "_dot_" s
515 fun unprotect_factname s = replacestr "_dot_" "." s
517 val ty_num_prefix = "N_"
519 fun startsWithDigit s = Char.isDigit (hd (String.explode s))
521 fun protect_tyname tyn =
524 if String.isPrefix ty_num_prefix tyn then raise (ERR "protect_ty_name" ("type name '"^tyn^"' is reserved")) else
525 (if startsWithDigit tyn then ty_num_prefix^tyn else tyn)
530 fun protect_constname tcn = tcn
531 (* if tcn = ".." then "dotdot"
532 else if tcn = "==" then "eqeq"
538 fun get_type_from_index thy thyname types is =
539 case Int.fromString is of
540 SOME i => (case Array.sub(types,i) of
544 val ty = get_type_from_xml thy thyname types xty
545 val _ = Array.update(types,i,FullType ty)
549 | NONE => raise ERR "get_type_from_index" "Bad index"
550 and get_type_from_xml thy thyname types =
552 fun gtfx (Elem("tyi",[("i",iS)],[])) =
553 get_type_from_index thy thyname types iS
554 | gtfx (Elem("tyc",atts,[])) =
556 (get_segment thyname atts)
557 (protect_tyname (get_name atts))
559 | gtfx (Elem("tyv",[("n",s)],[])) = mk_vartype (protect_tyvarname s)
560 | gtfx (Elem("tya",[],(Elem("tyc",atts,[]))::tys)) =
562 (get_segment thyname atts)
563 (protect_tyname (get_name atts))
565 | gtfx _ = raise ERR "get_type" "Bad type"
570 fun input_types thyname (Elem("tylist",[("i",i)],xtys)) =
572 val types = Array.array(the (Int.fromString i),XMLty (Elem("",[],[])))
575 (Array.update(types,n,XMLty xty);
581 | input_types _ _ = raise ERR "input_types" "Bad type list"
587 fun get_term_from_index thy thyname types terms is =
588 case Int.fromString is of
589 SOME i => (case Array.sub(terms,i) of
593 val tm = get_term_from_xml thy thyname types terms xtm
594 val _ = Array.update(terms,i,FullTerm tm)
598 | NONE => raise ERR "get_term_from_index" "Bad index"
599 and get_term_from_xml thy thyname types terms =
601 fun get_type [] = NONE
602 | get_type [ty] = SOME (TypeNet.get_type_from_xml thy thyname types ty)
603 | get_type _ = raise ERR "get_term" "Bad type"
605 fun gtfx (Elem("tmv",[("n",name),("t",tyi)],[])) =
606 mk_var(protect_varname name,TypeNet.get_type_from_index thy thyname types tyi)
607 | gtfx (Elem("tmc",atts,[])) =
609 val segment = get_segment thyname atts
610 val name = protect_constname(get_name atts)
612 mk_thy_const thy segment name (TypeNet.get_type_from_index thy thyname types (Lib.assoc "t" atts))
613 handle PK _ => prim_mk_const thy segment name
615 | gtfx (Elem("tma",[("f",tmf),("a",tma)],[])) =
617 val f = get_term_from_index thy thyname types terms tmf
618 val a = get_term_from_index thy thyname types terms tma
622 | gtfx (Elem("tml",[("x",tmx),("a",tma)],[])) =
624 val x = get_term_from_index thy thyname types terms tmx
625 val a = get_term_from_index thy thyname types terms tma
629 | gtfx (Elem("tmi",[("i",iS)],[])) =
630 get_term_from_index thy thyname types terms iS
631 | gtfx (Elem(tag,_,_)) =
632 raise ERR "get_term" ("Not a term: "^tag)
637 fun input_terms thyname types (Elem("tmlist",[("i",i)],xtms)) =
639 val terms = Array.array(the (Int.fromString i), XMLtm (Elem("",[],[])))
643 (Array.update(terms,n,XMLtm xtm);
649 | input_terms _ _ _ = raise ERR "input_terms" "Bad term list"
652 fun get_proof_dir (thyname:string) thy =
655 case get_segment2 thyname thy of
657 | NONE => get_import_segment thy
658 val path = space_explode ":" (getenv "HOL4_PROOFS")
662 val dir = OS.Path.joinDirFile {dir = p,file=import_segment}
664 if OS.FileSys.isDir dir
667 end) handle OS.SysErr _ => find ps
669 Option.map (fn p => OS.Path.joinDirFile {dir = p, file = thyname}) (find path)
672 fun proof_file_name thyname thmname thy =
674 val path = case get_proof_dir thyname thy of
676 | NONE => error "Cannot find proof files"
677 val _ = OS.FileSys.mkDir path handle OS.SysErr _ => ()
679 OS.Path.joinDirFile {dir = path, file = OS.Path.joinBaseExt {base = (unprotect_factname thmname), ext = SOME "prf"}}
682 fun xml_to_proof thyname types terms prf thy =
684 val xml_to_hol_type = TypeNet.get_type_from_xml thy thyname types
685 val xml_to_term = TermNet.get_term_from_xml thy thyname types terms
687 fun index_to_term is =
688 TermNet.get_term_from_index thy thyname types terms is
690 fun x2p (Elem("prefl",[("i",is)],[])) = mk_proof (PRefl (index_to_term is))
691 | x2p (Elem("pinstt",[],p::lambda)) =
694 val lambda = implode_subst (map xml_to_hol_type lambda)
696 mk_proof (PInstT(p,lambda))
698 | x2p (Elem("psubst",[("i",is)],prf::prfs)) =
700 val tm = index_to_term is
702 val prfs = map x2p prfs
704 mk_proof (PSubst(prfs,tm,prf))
706 | x2p (Elem("pabs",[("i",is)],[prf])) =
709 val t = index_to_term is
711 mk_proof (PAbs (p,t))
713 | x2p (Elem("pdisch",[("i",is)],[prf])) =
716 val t = index_to_term is
718 mk_proof (PDisch (p,t))
720 | x2p (Elem("pmp",[],[prf1,prf2])) =
725 mk_proof (PMp(p1,p2))
727 | x2p (Elem("phyp",[("i",is)],[])) = mk_proof (PHyp (index_to_term is))
728 | x2p (Elem("paxiom",[("n",n),("i",is)],[])) =
729 mk_proof (PAxm(n,index_to_term is))
730 | x2p (Elem("pfact",atts,[])) =
732 val thyname = get_segment thyname atts
733 val thmname = protect_factname (get_name atts)
734 val p = mk_proof PDisk
735 val _ = set_disk_info_of p thyname thmname
739 | x2p (Elem("pdef",[("s",seg),("n",name),("i",is)],[])) =
740 mk_proof (PDef(seg,protect_constname name,index_to_term is))
741 | x2p (Elem("ptmspec",[("s",seg)],p::names)) =
743 val names = map (fn Elem("name",[("n",name)],[]) => name
744 | _ => raise ERR "x2p" "Bad proof (ptmspec)") names
746 mk_proof (PTmSpec(seg,names,x2p p))
748 | x2p (Elem("ptyintro",[("s",seg),("n",name),("a",abs_name),("r",rep_name)],[xP,xt,p])) =
750 val P = xml_to_term xP
751 val t = xml_to_term xt
753 mk_proof (PTyIntro(seg,protect_tyname name,protect_constname abs_name,protect_constname rep_name,P,t,x2p p))
755 | x2p (Elem("ptydef",[("s",seg),("n",name)],[p])) =
756 mk_proof (PTyDef(seg,protect_tyname name,x2p p))
757 | x2p (xml as Elem("poracle",[],chldr)) =
759 val (oracles,terms) = List.partition (fn (Elem("oracle",_,_)) => true | _ => false) chldr
760 val ors = map (fn (Elem("oracle",[("n",name)],[])) => name | xml => raise ERR "x2p" "bad oracle") oracles
761 val (c,asl) = case terms of
762 [] => raise ERR "x2p" "Bad oracle description"
763 | (hd::tl) => (hd,tl)
764 val tg = fold_rev (Tag.merge o Tag.read) ors Tag.empty_tag
766 mk_proof (POracle(tg,map xml_to_term asl,xml_to_term c))
768 | x2p (Elem("pspec",[("i",is)],[prf])) =
771 val tm = index_to_term is
773 mk_proof (PSpec(p,tm))
775 | x2p (Elem("pinst",[],p::theta)) =
778 val theta = implode_subst (map xml_to_term theta)
780 mk_proof (PInst(p,theta))
782 | x2p (Elem("pgen",[("i",is)],[prf])) =
785 val tm = index_to_term is
787 mk_proof (PGen(p,tm))
789 | x2p (Elem("pgenabs",[],prf::tms)) =
792 val tml = map xml_to_term tms
794 mk_proof (PGenAbs(p,NONE,tml))
796 | x2p (Elem("pgenabs",[("i",is)],prf::tms)) =
799 val tml = map xml_to_term tms
801 mk_proof (PGenAbs(p,SOME (index_to_term is),tml))
803 | x2p (Elem("pimpas",[],[prf1,prf2])) =
808 mk_proof (PImpAS(p1,p2))
810 | x2p (Elem("psym",[],[prf])) =
816 | x2p (Elem("ptrans",[],[prf1,prf2])) =
821 mk_proof (PTrans(p1,p2))
823 | x2p (Elem("pcomb",[],[prf1,prf2])) =
828 mk_proof (PComb(p1,p2))
830 | x2p (Elem("peqmp",[],[prf1,prf2])) =
835 mk_proof (PEqMp(p1,p2))
837 | x2p (Elem("peqimp",[],[prf])) =
843 | x2p (Elem("pexists",[("e",ise),("w",isw)],[prf])) =
846 val ex = index_to_term ise
847 val w = index_to_term isw
849 mk_proof (PExists(p,ex,w))
851 | x2p (Elem("pchoose",[("i",is)],[prf1,prf2])) =
853 val v = index_to_term is
857 mk_proof (PChoose(v,p1,p2))
859 | x2p (Elem("pconj",[],[prf1,prf2])) =
864 mk_proof (PConj(p1,p2))
866 | x2p (Elem("pconjunct1",[],[prf])) =
870 mk_proof (PConjunct1 p)
872 | x2p (Elem("pconjunct2",[],[prf])) =
876 mk_proof (PConjunct2 p)
878 | x2p (Elem("pdisj1",[("i",is)],[prf])) =
881 val t = index_to_term is
883 mk_proof (PDisj1 (p,t))
885 | x2p (Elem("pdisj2",[("i",is)],[prf])) =
888 val t = index_to_term is
890 mk_proof (PDisj2 (p,t))
892 | x2p (Elem("pdisjcases",[],[prf1,prf2,prf3])) =
898 mk_proof (PDisjCases(p1,p2,p3))
900 | x2p (Elem("pnoti",[],[prf])) =
906 | x2p (Elem("pnote",[],[prf])) =
912 | x2p (Elem("pcontr",[("i",is)],[prf])) =
915 val t = index_to_term is
917 mk_proof (PContr (p,t))
919 | x2p xml = raise ERR "x2p" "Bad proof"
924 fun import_proof_concl thyname thmname thy =
926 val is = TextIO.openIn(proof_file_name thyname thmname thy)
927 val (proof_xml,_) = scan_tag (LazySeq.of_instream is)
928 val _ = TextIO.closeIn is
931 Elem("proof",[],xtypes::xterms::prf::rest) =>
933 val types = TypeNet.input_types thyname xtypes
934 val terms = TermNet.input_terms thyname types xterms
935 fun f xtm thy = TermNet.get_term_from_xml thy thyname types terms xtm
939 | [xtm] => SOME (f xtm)
940 | _ => raise ERR "import_proof" "Bad argument list"
942 | _ => raise ERR "import_proof" "Bad proof"
945 fun import_proof thyname thmname thy =
947 val is = TextIO.openIn(proof_file_name thyname thmname thy)
948 val (proof_xml,_) = scan_tag (LazySeq.of_instream is)
949 val _ = TextIO.closeIn is
952 Elem("proof",[],xtypes::xterms::prf::rest) =>
954 val types = TypeNet.input_types thyname xtypes
955 val terms = TermNet.input_terms thyname types xterms
959 | [xtm] => SOME (fn thy => TermNet.get_term_from_xml thy thyname types terms xtm)
960 | _ => raise ERR "import_proof" "Bad argument list",
961 xml_to_proof thyname types terms prf)
963 | _ => raise ERR "import_proof" "Bad proof"
966 fun uniq_compose m th i st =
968 val res = Thm.bicompose false (false,th,m) i st
971 SOME (th,rest) => (case Seq.pull rest of
972 SOME _ => raise ERR "uniq_compose" "Not unique!"
974 | NONE => raise ERR "uniq_compose" "No result"
977 val reflexivity_thm = @{thm refl}
978 val substitution_thm = @{thm subst}
979 val mp_thm = @{thm mp}
980 val imp_antisym_thm = @{thm light_imp_as}
981 val disch_thm = @{thm impI}
982 val ccontr_thm = @{thm ccontr}
984 val meta_eq_to_obj_eq_thm = @{thm meta_eq_to_obj_eq}
986 val gen_thm = @{thm HOLallI}
987 val choose_thm = @{thm exE}
988 val exists_thm = @{thm exI}
989 val conj_thm = @{thm conjI}
990 val conjunct1_thm = @{thm conjunct1}
991 val conjunct2_thm = @{thm conjunct2}
992 val spec_thm = @{thm spec}
993 val disj_cases_thm = @{thm disjE}
994 val disj1_thm = @{thm disjI1}
995 val disj2_thm = @{thm disjI2}
998 val th = @{thm not_def}
999 val thy = theory_of_thm th
1000 val pp = Thm.reflexive (cterm_of thy (Const(@{const_name Trueprop},HOLogic.boolT-->propT)))
1002 val not_elim_thm = Thm.combination pp th
1005 val not_intro_thm = Thm.symmetric not_elim_thm
1006 val abs_thm = @{thm ext}
1007 val trans_thm = @{thm trans}
1008 val symmetry_thm = @{thm sym}
1009 val transitivity_thm = @{thm trans}
1010 val eqmp_thm = @{thm iffD1}
1011 val eqimp_thm = @{thm HOL4Setup.eq_imp}
1012 val comb_thm = @{thm cong}
1014 (* Beta-eta normalizes a theorem (only the conclusion, not the *
1017 fun beta_eta_thm th =
1019 val th1 = Thm.equal_elim (Thm.beta_conversion true (cprop_of th)) th
1020 val th2 = Thm.equal_elim (Thm.eta_conversion (cprop_of th1)) th1
1025 fun implies_elim_all th =
1026 Library.foldl (fn (th,p) => Thm.implies_elim th (Thm.assume p)) (th,cprems_of th)
1031 |> implies_intr_hyps
1033 fun mk_GEN v th sg =
1035 val c = HOLogic.dest_Trueprop (concl_of th)
1036 val cv = cterm_of sg v
1037 val lc = Term.lambda v c
1038 val clc = Thm.cterm_of sg lc
1039 val cvty = ctyp_of_term cv
1040 val th1 = implies_elim_all th
1041 val th2 = beta_eta_thm (Thm.forall_intr cv th1)
1042 val th3 = th2 COMP (beta_eta_thm (Drule.instantiate' [SOME cvty] [SOME clc] gen_thm))
1044 val vname = fst(dest_Free v)
1045 val (cold,cnew) = case c of
1046 tpc $ (Const(@{const_name All},allT) $ Abs(oldname,ty,body)) =>
1047 (Abs(oldname,dummyT,Bound 0),Abs(vname,dummyT,Bound 0))
1048 | tpc $ (Const(@{const_name All},allT) $ rest) => (tpc,tpc)
1049 | _ => raise ERR "mk_GEN" "Unknown conclusion"
1050 val th4 = Thm.rename_boundvars cold cnew th3
1051 val res = implies_intr_hyps th4
1056 fun rearrange sg tm th =
1058 val tm' = Envir.beta_eta_contract tm
1059 fun find [] n = Thm.permute_prems 0 1 (Thm.implies_intr (Thm.cterm_of sg tm) th)
1060 | find (p::ps) n = if tm' aconv (Envir.beta_eta_contract p)
1061 then Thm.permute_prems n 1 th
1064 find (prems_of th) 0
1067 fun zip (x::xs) (y::ys) = (x,y)::(zip xs ys)
1069 | zip _ _ = raise ERR "zip" "arguments not of same length"
1071 fun mk_INST dom rng th =
1072 th |> forall_intr_list dom
1073 |> forall_elim_list rng
1077 fun F vars (Bound _) = vars
1078 | F vars (tm as Free _) =
1079 if member (op =) vars tm
1082 | F vars (Const _) = vars
1083 | F vars (tm1 $ tm2) = F (F vars tm1) tm2
1084 | F vars (Abs(_,_,body)) = F vars body
1085 | F vars (Var _) = raise ERR "collect_vars" "Schematic variable found"
1090 (* Code for disambiguating variablenames (wrt. types) *)
1092 val disamb_info_empty = {vars=[],rens=[]}
1094 fun rens_of {vars,rens} = rens
1096 fun name_of_var (Free(vname,_)) = vname
1097 | name_of_var _ = raise ERR "name_of_var" "Not a variable"
1099 fun disamb_term_from info tm = (info, tm)
1101 fun swap (x,y) = (y,x)
1103 fun has_ren (HOLThm _) = false
1105 fun prinfo {vars,rens} = (writeln "Vars:";
1107 writeln "Renaming:";
1108 app (fn(x,y)=>(prin x; writeln " -->"; prin y)) rens)
1110 fun disamb_thm_from info (HOLThm (_,thm)) = (info, thm)
1112 fun disamb_terms_from info tms = (info, tms)
1114 fun disamb_thms_from info hthms = (info, map hthm2thm hthms)
1116 fun disamb_term tm = disamb_term_from disamb_info_empty tm
1117 fun disamb_terms tms = disamb_terms_from disamb_info_empty tms
1118 fun disamb_thm thm = disamb_thm_from disamb_info_empty thm
1119 fun disamb_thms thms = disamb_thms_from disamb_info_empty thms
1121 fun norm_hthm sg (hth as HOLThm _) = hth
1123 (* End of disambiguating code *)
1125 fun disambiguate_frees thm =
1127 fun ERR s = error ("Drule.disambiguate_frees: "^s)
1128 val ct = cprop_of thm
1130 val thy = theory_of_cterm ct
1131 val frees = OldTerm.term_frees t
1132 val freenames = Term.add_free_names t []
1133 val is_old_name = member (op =) freenames
1134 fun name_of (Free (n, _)) = n
1135 | name_of _ = ERR "name_of"
1136 fun new_name' bump map n =
1137 let val n' = n^bump in
1138 if is_old_name n' orelse Symtab.lookup map n' <> NONE then
1139 new_name' (Symbol.bump_string bump) map n
1143 val new_name = new_name' "a"
1144 fun replace_name n' (Free (n, t)) = Free (n', t)
1145 | replace_name n' _ = ERR "replace_name"
1146 (* map: old or fresh name -> old free,
1147 invmap: old free which has fresh name assigned to it -> fresh name *)
1148 fun dis v (mapping as (map,invmap)) =
1149 let val n = name_of v in
1150 case Symtab.lookup map n of
1151 NONE => (Symtab.update (n, v) map, invmap)
1156 let val n' = new_name map n in
1157 (Symtab.update (n', v) map,
1158 Termtab.update (v, n') invmap)
1162 if (length freenames = length frees) then
1167 fold dis frees (Symtab.empty, Termtab.empty)
1168 fun make_subst (oldfree, newname) (intros, elims) =
1169 (cterm_of thy oldfree :: intros,
1170 cterm_of thy (replace_name newname oldfree) :: elims)
1171 val (intros, elims) = fold make_subst (Termtab.dest invmap) ([], [])
1173 forall_elim_list elims (forall_intr_list intros thm)
1177 val debug = Unsynchronized.ref false
1179 fun if_debug f x = if !debug then f x else ()
1180 val message = if_debug writeln
1182 val conjE_helper = Thm.permute_prems 0 1 conjE
1184 fun get_hol4_thm thyname thmname thy =
1185 case get_hol4_theorem thyname thmname thy of
1186 SOME hth => SOME (HOLThm hth)
1189 val pending = HOL4Pending.get thy
1191 case StringPair.lookup pending (thyname,thmname) of
1192 SOME hth => SOME (HOLThm hth)
1196 fun non_trivial_term_consts t = fold_aterms
1198 if c = @{const_name Trueprop} orelse c = @{const_name All}
1199 orelse c = @{const_name HOL.implies} orelse c = @{const_name HOL.conj} orelse c = @{const_name HOL.eq}
1200 then I else insert (op =) c
1203 fun match_consts t (* th *) =
1205 fun add_consts (Const (c, _), cs) =
1207 @{const_name HOL.eq} => insert (op =) "==" cs
1208 | @{const_name HOL.implies} => insert (op =) "==>" cs
1209 | @{const_name All} => cs
1211 | @{const_name HOL.conj} => cs
1212 | @{const_name Trueprop} => cs
1213 | _ => insert (op =) c cs)
1214 | add_consts (t $ u, cs) = add_consts (t, add_consts (u, cs))
1215 | add_consts (Abs (_, _, t), cs) = add_consts (t, cs)
1216 | add_consts (_, cs) = cs
1217 val t_consts = add_consts(t,[])
1219 fn th => eq_set (op =) (t_consts, add_consts (prop_of th, []))
1222 fun split_name str =
1224 val sub = Substring.full str
1225 val (f,idx) = apsnd Substring.string (Substring.splitr Char.isDigit sub)
1226 val (newstr,u) = pairself Substring.string (Substring.splitr (fn c => c = #"_") f)
1228 if not (idx = "") andalso u = "_"
1229 then SOME (newstr, the (Int.fromString idx))
1232 handle _ => NONE (* FIXME avoid handle _ *)
1234 fun rewrite_hol4_term t thy =
1236 val hol4rews1 = map (Thm.transfer thy) (HOL4Rewrites.get thy)
1237 val hol4ss = Simplifier.global_context thy empty_ss
1238 setmksimps (K single) addsimps hol4rews1
1240 Thm.transfer thy (Simplifier.full_rewrite hol4ss (cterm_of thy t))
1243 fun get_isabelle_thm thyname thmname hol4conc thy =
1245 val (info,hol4conc') = disamb_term hol4conc
1246 val i2h_conc = Thm.symmetric (rewrite_hol4_term (HOLogic.mk_Trueprop hol4conc') thy)
1248 case concl_of i2h_conc of
1249 Const("==",_) $ lhs $ _ => lhs
1250 | _ => error "get_isabelle_thm" "Bad rewrite rule"
1251 val _ = (message "Original conclusion:";
1252 if_debug prin hol4conc';
1253 message "Modified conclusion:";
1254 if_debug prin isaconc)
1256 fun mk_res th = HOLThm (rens_of info, Thm.equal_elim i2h_conc th)
1258 case get_hol4_mapping thyname thmname thy of
1259 SOME (SOME thmname) =>
1261 val th1 = (SOME (Global_Theory.get_thm thy thmname)
1263 (case split_name thmname of
1264 SOME (listname,idx) => (SOME (List.nth(Global_Theory.get_thms thy listname,idx-1))
1265 handle _ => NONE) (* FIXME avoid handle _ *)
1270 (case Shuffler.set_prop thy isaconc [(thmname,th2)] of
1271 SOME (_,th) => (message "YES";(thy, SOME (mk_res th)))
1272 | NONE => (message "NO2";error "get_isabelle_thm" "Bad mapping"))
1273 | NONE => (message "NO1";error "get_isabelle_thm" "Bad mapping")
1275 | SOME NONE => error ("Trying to access ignored theorem " ^ thmname)
1278 val _ = (message "Looking for conclusion:";
1279 if_debug prin isaconc)
1280 val cs = non_trivial_term_consts isaconc;
1281 val _ = (message "Looking for consts:";
1282 message (commas cs))
1283 val pot_thms = Shuffler.find_potential thy isaconc
1284 val _ = message (string_of_int (length pot_thms) ^ " potential theorems")
1286 case Shuffler.set_prop thy isaconc pot_thms of
1287 SOME (isaname,th) =>
1289 val hth as HOLThm args = mk_res th
1290 val thy' = thy |> add_hol4_theorem thyname thmname args
1291 |> add_hol4_mapping thyname thmname isaname
1292 val _ = ImportRecorder.add_hol_theorem thyname thmname (snd args)
1293 val _ = ImportRecorder.add_hol_mapping thyname thmname isaname
1297 | NONE => (thy,NONE)
1301 if Exn.is_interrupt e then reraise e
1304 writeln ("Exception in get_isabelle_thm:\n" ^ ML_Compiler.exn_message e)) ();
1307 fun get_isabelle_thm_and_warn thyname thmname hol4conc thy =
1309 val (a, b) = get_isabelle_thm thyname thmname hol4conc thy
1312 val (info,hol4conc') = disamb_term hol4conc
1313 val i2h_conc = Thm.symmetric (rewrite_hol4_term (HOLogic.mk_Trueprop hol4conc') thy)
1315 case concl_of i2h_conc of
1316 Const("==",_) $ lhs $ _ =>
1317 (warning ("Failed lookup of theorem '"^thmname^"':");
1318 writeln "Original conclusion:";
1320 writeln "Modified conclusion:";
1326 NONE => (warn () handle _ => (); (a,b)) (* FIXME avoid handle _ *)
1330 fun get_thm thyname thmname thy =
1331 case get_hol4_thm thyname thmname thy of
1332 SOME hth => (thy,SOME hth)
1333 | NONE => ((case import_proof_concl thyname thmname thy of
1334 SOME f => get_isabelle_thm_and_warn thyname thmname (f thy) thy
1335 | NONE => (message "No conclusion"; (thy,NONE)))
1336 handle e as IO.Io _ => (message "IO exception"; (thy,NONE))
1337 | e as PK _ => (message "PK exception"; (thy,NONE)))
1339 fun rename_const thyname thy name =
1340 case get_hol4_const_renaming thyname name thy of
1344 fun get_def thyname constname rhs thy =
1346 val constname = rename_const thyname thy constname
1347 val (thmname,thy') = get_defname thyname constname thy
1348 val _ = message ("Looking for definition " ^ thyname ^ "." ^ thmname)
1350 get_isabelle_thm_and_warn thyname thmname (mk_teq (thyname ^ "." ^ constname) rhs thy') thy'
1353 fun get_axiom thyname axname thy =
1354 case get_thm thyname axname thy of
1355 arg as (_,SOME _) => arg
1356 | _ => raise ERR "get_axiom" ("Trying to retrieve axiom (" ^ axname ^ ")")
1358 fun intern_store_thm gen_output thyname thmname hth thy =
1360 val (hth' as HOLThm (args as (_,th))) = norm_hthm thy hth
1361 val rew = rewrite_hol4_term (concl_of th) thy
1362 val th = Thm.equal_elim rew th
1363 val thy' = add_hol4_pending thyname thmname args thy
1364 val _ = ImportRecorder.add_hol_pending thyname thmname (hthm2thm hth')
1365 val th = disambiguate_frees th
1369 add_dump ("lemma " ^ (quotename thmname) ^ ": " ^
1370 (smart_string_of_thm (Syntax.init_pretty_global thy') th) ^ "\n by (import " ^
1371 thyname ^ " " ^ (quotename thmname) ^ ")") thy'
1377 val store_thm = intern_store_thm true
1381 val cty = Thm.ctyp_of_term ctm
1383 Drule.instantiate' [SOME cty] [SOME ctm] reflexivity_thm
1388 val _ = message "REFL:"
1389 val (info,tm') = disamb_term tm
1390 val ctm = Thm.cterm_of thy tm'
1391 val res = HOLThm(rens_of info,mk_REFL ctm)
1392 val _ = if_debug pth res
1399 val _ = message "ASSUME:"
1400 val (info,tm') = disamb_term tm
1401 val ctm = Thm.cterm_of thy (HOLogic.mk_Trueprop tm')
1402 val th = Thm.trivial ctm
1403 val res = HOLThm(rens_of info,th)
1404 val _ = if_debug pth res
1409 fun INST_TYPE lambda (hth as HOLThm(rens,th)) thy =
1411 val _ = message "INST_TYPE:"
1412 val _ = if_debug pth hth
1413 val tys_before = OldTerm.add_term_tfrees (prop_of th,[])
1414 val th1 = Thm.varifyT_global th
1415 val tys_after = OldTerm.add_term_tvars (prop_of th1,[])
1416 val tyinst = map (fn (bef, iS) =>
1417 (case try (Lib.assoc (TFree bef)) lambda of
1418 SOME ty => (ctyp_of thy (TVar iS), ctyp_of thy ty)
1419 | NONE => (ctyp_of thy (TVar iS), ctyp_of thy (TFree bef))
1421 (zip tys_before tys_after)
1422 val res = Drule.instantiate (tyinst,[]) th1
1423 val hth = HOLThm([],res)
1424 val res = norm_hthm thy hth
1425 val _ = message "RESULT:"
1426 val _ = if_debug pth res
1431 fun INST sigma hth thy =
1433 val _ = message "INST:"
1434 val _ = if_debug (app (fn (x,y) => (prin x; prin y))) sigma
1435 val _ = if_debug pth hth
1436 val (sdom,srng) = ListPair.unzip (rev sigma)
1437 val th = hthm2thm hth
1438 val th1 = mk_INST (map (cterm_of thy) sdom) (map (cterm_of thy) srng) th
1439 val res = HOLThm([],th1)
1440 val _ = message "RESULT:"
1441 val _ = if_debug pth res
1446 fun EQ_IMP_RULE (hth as HOLThm(rens,th)) thy =
1448 val _ = message "EQ_IMP_RULE:"
1449 val _ = if_debug pth hth
1450 val res = HOLThm(rens,th RS eqimp_thm)
1451 val _ = message "RESULT:"
1452 val _ = if_debug pth res
1457 fun mk_EQ_MP th1 th2 = [beta_eta_thm th1, beta_eta_thm th2] MRS eqmp_thm
1459 fun EQ_MP hth1 hth2 thy =
1461 val _ = message "EQ_MP:"
1462 val _ = if_debug pth hth1
1463 val _ = if_debug pth hth2
1464 val (info,[th1,th2]) = disamb_thms [hth1,hth2]
1465 val res = HOLThm(rens_of info,mk_EQ_MP th1 th2)
1466 val _ = message "RESULT:"
1467 val _ = if_debug pth res
1472 fun mk_COMB th1 th2 thy =
1474 val (f,g) = case concl_of th1 of
1475 _ $ (Const(@{const_name HOL.eq},_) $ f $ g) => (f,g)
1476 | _ => raise ERR "mk_COMB" "First theorem not an equality"
1477 val (x,y) = case concl_of th2 of
1478 _ $ (Const(@{const_name HOL.eq},_) $ x $ y) => (x,y)
1479 | _ => raise ERR "mk_COMB" "Second theorem not an equality"
1481 val (fd,fr) = Term.dest_funT fty
1482 val comb_thm' = Drule.instantiate'
1483 [SOME (ctyp_of thy fd),SOME (ctyp_of thy fr)]
1484 [SOME (cterm_of thy f),SOME (cterm_of thy g),
1485 SOME (cterm_of thy x),SOME (cterm_of thy y)] comb_thm
1487 [th1,th2] MRS comb_thm'
1490 fun SUBST rews ctxt hth thy =
1492 val _ = message "SUBST:"
1493 val _ = if_debug (app pth) rews
1494 val _ = if_debug prin ctxt
1495 val _ = if_debug pth hth
1496 val (info,th) = disamb_thm hth
1497 val (info1,ctxt') = disamb_term_from info ctxt
1498 val (info2,rews') = disamb_thms_from info1 rews
1500 val cctxt = cterm_of thy ctxt'
1501 fun subst th [] = th
1502 | subst th (rew::rews) = subst (mk_COMB th rew thy) rews
1503 val res = HOLThm(rens_of info2,mk_EQ_MP (subst (mk_REFL cctxt) rews') th)
1504 val _ = message "RESULT:"
1505 val _ = if_debug pth res
1510 fun DISJ_CASES hth hth1 hth2 thy =
1512 val _ = message "DISJ_CASES:"
1513 val _ = if_debug (app pth) [hth,hth1,hth2]
1514 val (info,th) = disamb_thm hth
1515 val (info1,th1) = disamb_thm_from info hth1
1516 val (info2,th2) = disamb_thm_from info1 hth2
1517 val th1 = norm_hyps th1
1518 val th2 = norm_hyps th2
1519 val (l,r) = case concl_of th of
1520 _ $ (Const(@{const_name HOL.disj},_) $ l $ r) => (l,r)
1521 | _ => raise ERR "DISJ_CASES" "Conclusion not a disjunction"
1522 val th1' = rearrange thy (HOLogic.mk_Trueprop l) th1
1523 val th2' = rearrange thy (HOLogic.mk_Trueprop r) th2
1524 val res1 = th RS disj_cases_thm
1525 val res2 = uniq_compose ((nprems_of th1')-1) th1' ((nprems_of th)+1) res1
1526 val res3 = uniq_compose ((nprems_of th2')-1) th2' (nprems_of res2) res2
1527 val res = HOLThm(rens_of info2,res3)
1528 val _ = message "RESULT:"
1529 val _ = if_debug pth res
1534 fun DISJ1 hth tm thy =
1536 val _ = message "DISJ1:"
1537 val _ = if_debug pth hth
1538 val _ = if_debug prin tm
1539 val (info,th) = disamb_thm hth
1540 val (info',tm') = disamb_term_from info tm
1541 val ct = Thm.cterm_of thy tm'
1542 val disj1_thm' = Drule.instantiate' [] [NONE,SOME ct] disj1_thm
1543 val res = HOLThm(rens_of info',th RS disj1_thm')
1544 val _ = message "RESULT:"
1545 val _ = if_debug pth res
1550 fun DISJ2 tm hth thy =
1552 val _ = message "DISJ1:"
1553 val _ = if_debug prin tm
1554 val _ = if_debug pth hth
1555 val (info,th) = disamb_thm hth
1556 val (info',tm') = disamb_term_from info tm
1557 val ct = Thm.cterm_of thy tm'
1558 val disj2_thm' = Drule.instantiate' [] [NONE,SOME ct] disj2_thm
1559 val res = HOLThm(rens_of info',th RS disj2_thm')
1560 val _ = message "RESULT:"
1561 val _ = if_debug pth res
1566 fun IMP_ANTISYM hth1 hth2 thy =
1568 val _ = message "IMP_ANTISYM:"
1569 val _ = if_debug pth hth1
1570 val _ = if_debug pth hth2
1571 val (info,[th1,th2]) = disamb_thms [hth1,hth2]
1572 val th = [beta_eta_thm th1,beta_eta_thm th2] MRS imp_antisym_thm
1573 val res = HOLThm(rens_of info,th)
1574 val _ = message "RESULT:"
1575 val _ = if_debug pth res
1580 fun SYM (hth as HOLThm(rens,th)) thy =
1582 val _ = message "SYM:"
1583 val _ = if_debug pth hth
1584 val th = th RS symmetry_thm
1585 val res = HOLThm(rens,th)
1586 val _ = message "RESULT:"
1587 val _ = if_debug pth res
1592 fun MP hth1 hth2 thy =
1594 val _ = message "MP:"
1595 val _ = if_debug pth hth1
1596 val _ = if_debug pth hth2
1597 val (info,[th1,th2]) = disamb_thms [hth1,hth2]
1598 val th = [beta_eta_thm th1,beta_eta_thm th2] MRS mp_thm
1599 val res = HOLThm(rens_of info,th)
1600 val _ = message "RESULT:"
1601 val _ = if_debug pth res
1606 fun CONJ hth1 hth2 thy =
1608 val _ = message "CONJ:"
1609 val _ = if_debug pth hth1
1610 val _ = if_debug pth hth2
1611 val (info,[th1,th2]) = disamb_thms [hth1,hth2]
1612 val th = [th1,th2] MRS conj_thm
1613 val res = HOLThm(rens_of info,th)
1614 val _ = message "RESULT:"
1615 val _ = if_debug pth res
1620 fun CONJUNCT1 (hth as HOLThm(rens,th)) thy =
1622 val _ = message "CONJUNCT1:"
1623 val _ = if_debug pth hth
1624 val res = HOLThm(rens,th RS conjunct1_thm)
1625 val _ = message "RESULT:"
1626 val _ = if_debug pth res
1631 fun CONJUNCT2 (hth as HOLThm(rens,th)) thy =
1633 val _ = message "CONJUNCT1:"
1634 val _ = if_debug pth hth
1635 val res = HOLThm(rens,th RS conjunct2_thm)
1636 val _ = message "RESULT:"
1637 val _ = if_debug pth res
1642 fun EXISTS ex wit hth thy =
1644 val _ = message "EXISTS:"
1645 val _ = if_debug prin ex
1646 val _ = if_debug prin wit
1647 val _ = if_debug pth hth
1648 val (info,th) = disamb_thm hth
1649 val (info',[ex',wit']) = disamb_terms_from info [ex,wit]
1650 val cwit = cterm_of thy wit'
1651 val cty = ctyp_of_term cwit
1653 (Const(@{const_name Ex},_) $ a) => a
1654 | _ => raise ERR "EXISTS" "Argument not existential"
1655 val ca = cterm_of thy a
1656 val exists_thm' = beta_eta_thm (Drule.instantiate' [SOME cty] [SOME ca,SOME cwit] exists_thm)
1657 val th1 = beta_eta_thm th
1658 val th2 = implies_elim_all th1
1659 val th3 = th2 COMP exists_thm'
1660 val th = implies_intr_hyps th3
1661 val res = HOLThm(rens_of info',th)
1662 val _ = message "RESULT:"
1663 val _ = if_debug pth res
1668 fun CHOOSE v hth1 hth2 thy =
1670 val _ = message "CHOOSE:"
1671 val _ = if_debug prin v
1672 val _ = if_debug pth hth1
1673 val _ = if_debug pth hth2
1674 val (info,[th1,th2]) = disamb_thms [hth1,hth2]
1675 val (info',v') = disamb_term_from info v
1676 fun strip 0 _ th = th
1677 | strip n (p::ps) th =
1678 strip (n-1) ps (Thm.implies_elim th (Thm.assume p))
1679 | strip _ _ _ = raise ERR "CHOOSE" "strip error"
1680 val cv = cterm_of thy v'
1681 val th2 = norm_hyps th2
1682 val cvty = ctyp_of_term cv
1683 val c = HOLogic.dest_Trueprop (concl_of th2)
1684 val cc = cterm_of thy c
1685 val a = case concl_of th1 of
1686 _ $ (Const(@{const_name Ex},_) $ a) => a
1687 | _ => raise ERR "CHOOSE" "Conclusion not existential"
1688 val ca = cterm_of (theory_of_thm th1) a
1689 val choose_thm' = beta_eta_thm (Drule.instantiate' [SOME cvty] [SOME ca,SOME cc] choose_thm)
1690 val th21 = rearrange thy (HOLogic.mk_Trueprop (a $ v')) th2
1691 val th22 = strip ((nprems_of th21)-1) (cprems_of th21) th21
1692 val th23 = beta_eta_thm (Thm.forall_intr cv th22)
1693 val th11 = implies_elim_all (beta_eta_thm th1)
1694 val th' = th23 COMP (th11 COMP choose_thm')
1695 val th = implies_intr_hyps th'
1696 val res = HOLThm(rens_of info',th)
1697 val _ = message "RESULT:"
1698 val _ = if_debug pth res
1705 val _ = message "GEN:"
1706 val _ = if_debug prin v
1707 val _ = if_debug pth hth
1708 val (info,th) = disamb_thm hth
1709 val (info',v') = disamb_term_from info v
1710 val res = HOLThm(rens_of info',mk_GEN v' th thy)
1711 val _ = message "RESULT:"
1712 val _ = if_debug pth res
1717 fun SPEC tm hth thy =
1719 val _ = message "SPEC:"
1720 val _ = if_debug prin tm
1721 val _ = if_debug pth hth
1722 val (info,th) = disamb_thm hth
1723 val (info',tm') = disamb_term_from info tm
1724 val ctm = Thm.cterm_of thy tm'
1725 val cty = Thm.ctyp_of_term ctm
1726 val spec' = Drule.instantiate' [SOME cty] [NONE,SOME ctm] spec_thm
1727 val th = th RS spec'
1728 val res = HOLThm(rens_of info',th)
1729 val _ = message "RESULT:"
1730 val _ = if_debug pth res
1735 fun COMB hth1 hth2 thy =
1737 val _ = message "COMB:"
1738 val _ = if_debug pth hth1
1739 val _ = if_debug pth hth2
1740 val (info,[th1,th2]) = disamb_thms [hth1,hth2]
1741 val res = HOLThm(rens_of info,mk_COMB th1 th2 thy)
1742 val _ = message "RESULT:"
1743 val _ = if_debug pth res
1748 fun TRANS hth1 hth2 thy =
1750 val _ = message "TRANS:"
1751 val _ = if_debug pth hth1
1752 val _ = if_debug pth hth2
1753 val (info,[th1,th2]) = disamb_thms [hth1,hth2]
1754 val th = [th1,th2] MRS trans_thm
1755 val res = HOLThm(rens_of info,th)
1756 val _ = message "RESULT:"
1757 val _ = if_debug pth res
1763 fun CCONTR tm hth thy =
1765 val _ = message "SPEC:"
1766 val _ = if_debug prin tm
1767 val _ = if_debug pth hth
1768 val (info,th) = disamb_thm hth
1769 val (info',tm') = disamb_term_from info tm
1770 val th = norm_hyps th
1771 val ct = cterm_of thy tm'
1772 val th1 = rearrange thy (HOLogic.mk_Trueprop (Const(@{const_name Not},HOLogic.boolT-->HOLogic.boolT) $ tm')) th
1773 val ccontr_thm' = Drule.instantiate' [] [SOME ct] ccontr_thm
1774 val res1 = uniq_compose ((nprems_of th1) - 1) th1 1 ccontr_thm'
1775 val res = HOLThm(rens_of info',res1)
1776 val _ = message "RESULT:"
1777 val _ = if_debug pth res
1782 fun mk_ABS v th thy =
1784 val cv = cterm_of thy v
1785 val th1 = implies_elim_all (beta_eta_thm th)
1786 val (f,g) = case concl_of th1 of
1787 _ $ (Const(@{const_name HOL.eq},_) $ f $ g) => (Term.lambda v f,Term.lambda v g)
1788 | _ => raise ERR "mk_ABS" "Bad conclusion"
1789 val (fd,fr) = Term.dest_funT (type_of f)
1790 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
1791 val th2 = Thm.forall_intr cv th1
1792 val th3 = th2 COMP abs_thm'
1793 val res = implies_intr_hyps th3
1800 val _ = message "ABS:"
1801 val _ = if_debug prin v
1802 val _ = if_debug pth hth
1803 val (info,th) = disamb_thm hth
1804 val (info',v') = disamb_term_from info v
1805 val res = HOLThm(rens_of info',mk_ABS v' th thy)
1806 val _ = message "RESULT:"
1807 val _ = if_debug pth res
1812 fun GEN_ABS copt vlist hth thy =
1814 val _ = message "GEN_ABS:"
1815 val _ = case copt of
1816 SOME c => if_debug prin c
1818 val _ = if_debug (app prin) vlist
1819 val _ = if_debug pth hth
1820 val (info,th) = disamb_thm hth
1821 val (info',vlist') = disamb_terms_from info vlist
1824 SOME (c as Const(cname,cty)) =>
1826 fun inst_type ty1 ty2 (TVar _) = raise ERR "GEN_ABS" "Type variable found!"
1827 | inst_type ty1 ty2 (ty as TFree _) = if ty1 = ty
1830 | inst_type ty1 ty2 (ty as Type(name,tys)) =
1831 Type(name,map (inst_type ty1 ty2) tys)
1833 fold_rev (fn v => fn th =>
1835 val cdom = fst (Term.dest_funT (fst (Term.dest_funT cty)))
1837 val newcty = inst_type cdom vty cty
1838 val cc = cterm_of thy (Const(cname,newcty))
1840 mk_COMB (mk_REFL cc) (mk_ABS v th thy) thy
1843 | SOME _ => raise ERR "GEN_ABS" "Bad constant"
1845 fold_rev (fn v => fn th => mk_ABS v th thy) vlist' th
1846 val res = HOLThm(rens_of info',th1)
1847 val _ = message "RESULT:"
1848 val _ = if_debug pth res
1853 fun NOT_INTRO (hth as HOLThm(rens,th)) thy =
1855 val _ = message "NOT_INTRO:"
1856 val _ = if_debug pth hth
1857 val th1 = implies_elim_all (beta_eta_thm th)
1858 val a = case concl_of th1 of
1859 _ $ (Const(@{const_name HOL.implies},_) $ a $ Const(@{const_name False},_)) => a
1860 | _ => raise ERR "NOT_INTRO" "Conclusion of bad form"
1861 val ca = cterm_of thy a
1862 val th2 = Thm.equal_elim (Drule.instantiate' [] [SOME ca] not_intro_thm) th1
1863 val res = HOLThm(rens,implies_intr_hyps th2)
1864 val _ = message "RESULT:"
1865 val _ = if_debug pth res
1870 fun NOT_ELIM (hth as HOLThm(rens,th)) thy =
1872 val _ = message "NOT_INTRO:"
1873 val _ = if_debug pth hth
1874 val th1 = implies_elim_all (beta_eta_thm th)
1875 val a = case concl_of th1 of
1876 _ $ (Const(@{const_name Not},_) $ a) => a
1877 | _ => raise ERR "NOT_ELIM" "Conclusion of bad form"
1878 val ca = cterm_of thy a
1879 val th2 = Thm.equal_elim (Drule.instantiate' [] [SOME ca] not_elim_thm) th1
1880 val res = HOLThm(rens,implies_intr_hyps th2)
1881 val _ = message "RESULT:"
1882 val _ = if_debug pth res
1887 fun DISCH tm hth thy =
1889 val _ = message "DISCH:"
1890 val _ = if_debug prin tm
1891 val _ = if_debug pth hth
1892 val (info,th) = disamb_thm hth
1893 val (info',tm') = disamb_term_from info tm
1894 val prems = prems_of th
1895 val th1 = beta_eta_thm th
1896 val th2 = implies_elim_all th1
1897 val th3 = Thm.implies_intr (cterm_of thy (HOLogic.mk_Trueprop tm')) th2
1898 val th4 = th3 COMP disch_thm
1899 val res = HOLThm (rens_of info', implies_intr_hyps th4)
1900 val _ = message "RESULT:"
1901 val _ = if_debug pth res
1906 val spaces = space_implode " "
1908 fun new_definition thyname constname rhs thy =
1910 val constname = rename_const thyname thy constname
1911 val redeclared = is_some (Sign.const_type thy (Sign.intern_const thy constname));
1912 val _ = warning ("Introducing constant " ^ constname)
1913 val (thmname,thy) = get_defname thyname constname thy
1914 val (info,rhs') = disamb_term rhs
1915 val ctype = type_of rhs'
1916 val csyn = mk_syn thy constname
1917 val thy1 = case HOL4DefThy.get thy of
1919 | _ => (ImportRecorder.add_consts [(constname, ctype, csyn)];
1920 Sign.add_consts_i [(Binding.name constname,ctype,csyn)] thy)
1921 val eq = mk_defeq constname rhs' thy1
1922 val (thms, thy2) = Global_Theory.add_defs false [((Binding.name thmname,eq),[])] thy1
1923 val _ = ImportRecorder.add_defs thmname eq
1924 val def_thm = hd thms
1925 val thm' = def_thm RS meta_eq_to_obj_eq_thm
1926 val (thy',th) = (thy2, thm')
1927 val fullcname = Sign.intern_const thy' constname
1928 val thy'' = add_hol4_const_mapping thyname constname true fullcname thy'
1929 val _ = ImportRecorder.add_hol_const_mapping thyname constname fullcname
1930 val (linfo,tm24) = disamb_term (mk_teq constname rhs' thy'')
1931 val rew = rewrite_hol4_term eq thy''
1932 val crhs = cterm_of thy'' (#2 (Logic.dest_equals (prop_of rew)))
1934 if Thm.def_name constname = thmname andalso not redeclared andalso csyn = NoSyn
1937 val ctxt = Syntax.init_pretty_global thy''
1938 val p1 = quotename constname
1939 val p2 = Syntax.string_of_typ ctxt ctype
1940 val p3 = string_of_mixfix csyn
1941 val p4 = smart_string_of_cterm ctxt crhs
1943 add_dump ("definition\n " ^ p1 ^ " :: \"" ^ p2 ^ "\" "^ p3 ^ " where\n " ^ p4) thy''
1946 let val ctxt = Syntax.init_pretty_global thy'' in
1947 add_dump ("consts\n " ^ quotename constname ^ " :: \"" ^
1948 Syntax.string_of_typ ctxt ctype ^
1949 "\" " ^ string_of_mixfix csyn ^ "\n\ndefs\n " ^
1950 quotename thmname ^ ": " ^ smart_string_of_cterm ctxt crhs) thy''
1952 val hth = case Shuffler.set_prop thy22 (HOLogic.mk_Trueprop tm24) [("",th)] of
1953 SOME (_,res) => HOLThm(rens_of linfo,res)
1954 | NONE => raise ERR "new_definition" "Bad conclusion"
1955 val fullname = Sign.full_bname thy22 thmname
1956 val thy22' = case opt_get_output_thy thy22 of
1957 "" => (ImportRecorder.add_hol_mapping thyname thmname fullname;
1958 add_hol4_mapping thyname thmname fullname thy22)
1961 val moved_thmname = output_thy ^ "." ^ thyname ^ "." ^ thmname
1962 val _ = ImportRecorder.add_hol_move fullname moved_thmname
1963 val _ = ImportRecorder.add_hol_mapping thyname thmname moved_thmname
1965 thy22 |> add_hol4_move fullname moved_thmname
1966 |> add_hol4_mapping thyname thmname moved_thmname
1968 val _ = message "new_definition:"
1969 val _ = if_debug pth hth
1974 fun new_specification thyname thmname names hth thy =
1975 case HOL4DefThy.get thy of
1976 Replaying _ => (thy,hth)
1979 val _ = message "NEW_SPEC:"
1980 val _ = if_debug pth hth
1981 val names = map (rename_const thyname thy) names
1982 val _ = warning ("Introducing constants " ^ commas names)
1983 val (HOLThm(rens,th)) = norm_hthm thy hth
1984 val thy1 = case HOL4DefThy.get thy of
1988 fun dest_eta_abs (Abs(x,xT,body)) = (x,xT,body)
1989 | dest_eta_abs body =
1991 val (dT,rT) = Term.dest_funT (type_of body)
1993 ("x",dT,body $ Bound 0)
1995 handle TYPE _ => raise ERR "new_specification" "not an abstraction type"
1996 fun dest_exists (Const(@{const_name Ex},_) $ abody) =
1999 raise ERR "new_specification" "Bad existential formula"
2001 val (consts,_) = Library.foldl (fn ((cs,ex),cname) =>
2003 val (_,cT,p) = dest_exists ex
2005 ((cname,cT,mk_syn thy cname)::cs,p)
2006 end) (([],HOLogic.dest_Trueprop (concl_of th)),names)
2007 val str = Library.foldl (fn (acc, (c, T, csyn)) =>
2008 acc ^ "\n " ^ quotename c ^ " :: \"" ^
2009 Syntax.string_of_typ_global thy T ^ "\" " ^ string_of_mixfix csyn) ("consts", consts)
2010 val thy' = add_dump str thy
2011 val _ = ImportRecorder.add_consts consts
2013 Sign.add_consts_i (map (fn (c, T, mx) => (Binding.name c, T, mx)) consts) thy'
2016 val thy1 = fold_rev (fn name => fn thy =>
2017 snd (get_defname thyname name thy)) names thy1
2018 fun new_name name = fst (get_defname thyname name thy1)
2019 val names' = map (fn name => (new_name name,name,false)) names
2020 val (thy',res) = Choice_Specification.add_specification NONE
2023 val _ = ImportRecorder.add_specification names' th
2024 val res' = Thm.unvarify_global res
2025 val hth = HOLThm(rens,res')
2026 val rew = rewrite_hol4_term (concl_of res') thy'
2027 val th = Thm.equal_elim rew res'
2028 fun handle_const (name,thy) =
2030 val defname = Thm.def_name name
2031 val (newname,thy') = get_defname thyname name thy
2033 (if defname = newname
2035 else (quotename newname) ^ ": " ^ (quotename name),thy')
2037 val (new_names,thy') = fold_rev (fn name => fn (names, thy) =>
2039 val (name',thy') = handle_const (name,thy)
2042 end) names ([], thy')
2044 add_dump ("specification (" ^ (spaces new_names) ^ ") " ^ thmname ^ ": " ^
2045 (smart_string_of_thm (Syntax.init_pretty_global thy') th) ^
2046 "\n by (import " ^ thyname ^ " " ^ thmname ^ ")")
2048 val _ = message "RESULT:"
2049 val _ = if_debug pth hth
2051 intern_store_thm false thyname thmname hth thy''
2054 fun new_axiom name tm thy = raise ERR "new_axiom" ("Oh, no you don't! (" ^ name ^ ")")
2056 fun to_isa_thm (hth as HOLThm(_,th)) =
2058 val (HOLThm args) = norm_hthm (theory_of_thm th) hth
2060 apsnd Thm.strip_shyps args
2063 fun to_isa_term tm = tm
2066 val light_nonempty = @{thm light_ex_imp_nonempty}
2067 val ex_imp_nonempty = @{thm ex_imp_nonempty}
2068 val typedef_hol2hol4 = @{thm typedef_hol2hol4}
2069 val typedef_hol2hollight = @{thm typedef_hol2hollight}
2071 fun new_type_definition thyname thmname tycname hth thy =
2072 case HOL4DefThy.get thy of
2073 Replaying _ => (thy,hth)
2076 val _ = message "TYPE_DEF:"
2077 val _ = if_debug pth hth
2078 val _ = warning ("Introducing type " ^ tycname)
2079 val (HOLThm(rens,td_th)) = norm_hthm thy hth
2080 val th2 = beta_eta_thm (td_th RS ex_imp_nonempty)
2081 val c = case concl_of th2 of
2082 _ $ (Const(@{const_name Ex},_) $ Abs(_,_,Const(@{const_name Set.member},_) $ _ $ c)) => c
2083 | _ => raise ERR "new_type_definition" "Bad type definition theorem"
2084 val tfrees = OldTerm.term_tfrees c
2085 val tnames = map fst tfrees
2086 val tsyn = mk_syn thy tycname
2087 val typ = (tycname,tnames,tsyn)
2088 val ((_, typedef_info), thy') =
2089 Typedef.add_typedef_global false (SOME (Binding.name thmname))
2090 (Binding.name tycname, map (rpair dummyS) tnames, tsyn) c NONE (rtac th2 1) thy
2091 val _ = ImportRecorder.add_typedef (SOME thmname) typ c NONE th2
2093 val th3 = (#type_definition (#2 typedef_info)) RS typedef_hol2hol4
2095 val fulltyname = Sign.intern_type thy' tycname
2096 val thy'' = add_hol4_type_mapping thyname tycname true fulltyname thy'
2097 val _ = ImportRecorder.add_hol_type_mapping thyname tycname fulltyname
2099 val (hth' as HOLThm args) = norm_hthm thy'' (HOLThm(rens,th3))
2100 val _ = if has_ren hth' then warning ("Theorem " ^ thmname ^ " needs variable-disambiguating")
2102 val thy4 = add_hol4_pending thyname thmname args thy''
2103 val _ = ImportRecorder.add_hol_pending thyname thmname (hthm2thm hth')
2105 val rew = rewrite_hol4_term (concl_of td_th) thy4
2106 val th = Thm.equal_elim rew (Thm.transfer thy4 td_th)
2107 val c = case HOLogic.dest_Trueprop (prop_of th) of
2108 Const(@{const_name Ex},exT) $ P =>
2110 val PT = domain_type exT
2112 Const (@{const_name Collect},PT-->HOLogic.mk_setT (domain_type PT)) $ P
2114 | _ => error "Internal error in ProofKernel.new_typedefinition"
2115 val tnames_string = if null tnames
2117 else "(" ^ commas tnames ^ ") "
2119 smart_string_of_cterm
2120 (Syntax.init_pretty_global thy4
2121 |> not (null tnames) ? Config.put show_all_types true)
2122 val thy5 = add_dump ("typedef (open) " ^ tnames_string ^ (quotename tycname) ^ " = " ^ (proc_prop (cterm_of thy4 c)) ^ " "
2123 ^ (string_of_mixfix tsyn) ^ "\n by (rule typedef_helper,import " ^ thyname ^ " " ^ thmname ^ ")") thy4
2125 val thy6 = add_dump ("lemmas " ^ thmname ^ " = typedef_hol2hol4 [OF type_definition_" ^ tycname ^ "]") thy5
2127 val _ = message "RESULT:"
2128 val _ = if_debug pth hth'
2133 fun add_dump_syntax thy name =
2135 val n = quotename name
2136 val syn = string_of_mixfix (mk_syn thy name)
2138 add_dump ("syntax\n "^n^" :: _ "^syn) thy
2141 fun type_introduction thyname thmname tycname abs_name rep_name (P,t) hth thy =
2142 case HOL4DefThy.get thy of
2143 Replaying _ => (thy,
2144 HOLThm([], Global_Theory.get_thm thy (thmname^"_@intern")) handle ERROR _ => hth)
2147 val _ = message "TYPE_INTRO:"
2148 val _ = if_debug pth hth
2149 val _ = warning ("Introducing type " ^ tycname ^ " (with morphisms " ^ abs_name ^ " and " ^ rep_name ^ ")")
2150 val (HOLThm(rens,td_th)) = norm_hthm thy hth
2152 val light_nonempty' =
2153 Drule.instantiate' [SOME (ctyp_of thy tT)]
2154 [SOME (cterm_of thy P),
2155 SOME (cterm_of thy t)] light_nonempty
2156 val th2 = beta_eta_thm (td_th RS (beta_eta_thm light_nonempty'))
2157 val c = case concl_of th2 of
2158 _ $ (Const(@{const_name Ex},_) $ Abs(_,_,Const(@{const_name Set.member},_) $ _ $ c)) => c
2159 | _ => raise ERR "type_introduction" "Bad type definition theorem"
2160 val tfrees = OldTerm.term_tfrees c
2161 val tnames = sort_strings (map fst tfrees)
2162 val tsyn = mk_syn thy tycname
2163 val typ = (tycname,tnames,tsyn)
2164 val ((_, typedef_info), thy') =
2165 Typedef.add_typedef_global false NONE
2166 (Binding.name tycname, map (rpair dummyS) tnames, tsyn) c
2167 (SOME(Binding.name rep_name,Binding.name abs_name)) (rtac th2 1) thy
2168 val _ = ImportRecorder.add_typedef NONE typ c (SOME(rep_name,abs_name)) th2
2169 val fulltyname = Sign.intern_type thy' tycname
2170 val aty = Type (fulltyname, map mk_vartype tnames)
2171 val abs_ty = tT --> aty
2172 val rep_ty = aty --> tT
2173 val typedef_hol2hollight' =
2175 [SOME (ctyp_of thy' aty), SOME (ctyp_of thy' tT)]
2176 [NONE, NONE, NONE, SOME (cterm_of thy' (Free ("a", aty))), SOME (cterm_of thy' (Free ("r", tT)))]
2177 typedef_hol2hollight
2178 val th4 = (#type_definition (#2 typedef_info)) RS typedef_hol2hollight'
2179 val _ = null (Thm.fold_terms Term.add_tvars th4 []) orelse
2180 raise ERR "type_introduction" "no type variables expected any more"
2181 val _ = null (Thm.fold_terms Term.add_vars th4 []) orelse
2182 raise ERR "type_introduction" "no term variables expected any more"
2183 val _ = message ("step 3: thyname="^thyname^", tycname="^tycname^", fulltyname="^fulltyname)
2184 val thy'' = add_hol4_type_mapping thyname tycname true fulltyname thy'
2185 val _ = ImportRecorder.add_hol_type_mapping thyname tycname fulltyname
2186 val _ = message "step 4"
2187 val (hth' as HOLThm args) = norm_hthm thy'' (HOLThm(rens,th4))
2188 val thy4 = add_hol4_pending thyname thmname args thy''
2189 val _ = ImportRecorder.add_hol_pending thyname thmname (hthm2thm hth')
2191 val P' = P (* why !? #2 (Logic.dest_equals (concl_of (rewrite_hol4_term P thy4))) *)
2196 Const (@{const_name Collect},PT-->HOLogic.mk_setT (domain_type PT)) $ P'
2199 val tnames_string = if null tnames
2201 else "(" ^ commas tnames ^ ") "
2203 smart_string_of_cterm
2204 (Syntax.init_pretty_global thy4
2205 |> not (null tnames) ? Config.put show_all_types true)
2206 val thy = add_dump ("typedef (open) " ^ tnames_string ^ (quotename tycname) ^
2207 " = " ^ (proc_prop (cterm_of thy4 c)) ^ " " ^
2208 (string_of_mixfix tsyn) ^ " morphisms "^
2209 (quote rep_name)^" "^(quote abs_name)^"\n"^
2210 (" apply (rule light_ex_imp_nonempty[where t="^
2211 (proc_prop (cterm_of thy4 t))^"])\n"^
2212 (" by (import " ^ thyname ^ " " ^ (quotename thmname) ^ ")"))) thy4
2213 val str_aty = Syntax.string_of_typ_global thy aty
2214 val thy = add_dump_syntax thy rep_name
2215 val thy = add_dump_syntax thy abs_name
2216 val thy = add_dump ("lemmas " ^ (quote (thmname^"_@intern")) ^
2217 " = typedef_hol2hollight \n"^
2218 " [where a=\"a :: "^str_aty^"\" and r=r" ^
2219 " ,\n OF "^(quotename ("type_definition_" ^ tycname)) ^ "]") thy
2220 val _ = message "RESULT:"
2221 val _ = if_debug pth hth'