+let select_term low_status (name,context,term) (wanted,path) =
+ let found status ctx t wanted =
+ (* we could lift wanted step-by-step *)
+ try true, unify status (`Ctx ctx) (None,ctx,t) wanted
+ with
+ | NCicUnification.UnificationFailure _
+ | NCicUnification.Uncertain _ -> false, status
+ in
+ let match_term status ctx (wanted : cic_term) t =
+ let rec aux ctx status t =
+ let b, status = found status ctx t wanted in
+ if b then
+ let status, (_,_,t) =
+ mk_meta status ~name:in_scope_tag (`Ctx ctx) (`Def (None,ctx,t))
+ in
+ status, t
+ else NCicUntrusted.map_term_fold_a (fun e c -> e::c) ctx aux status t
+ in
+ aux ctx status t
+ in
+ let rec select status ctx pat cic =
+ match pat, cic with
+ | NCic.LetIn (_,t1,s1,b1), NCic.LetIn (n,t2,s2,b2) ->
+ let status, t = select status ctx t1 t2 in
+ let status, s = select status ctx s1 s2 in
+ let ctx = (n, NCic.Def (s2,t2)) :: ctx in
+ let status, b = select status ctx b1 b2 in
+ status, NCic.LetIn (n,t,s,b)
+ | NCic.Lambda (_,s1,t1), NCic.Lambda (n,s2,t2) ->
+ let status, s = select status ctx s1 s2 in
+ let ctx = (n, NCic.Decl s2) :: ctx in
+ let status, t = select status ctx t1 t2 in
+ status, NCic.Lambda (n,s,t)
+ | NCic.Prod (_,s1,t1), NCic.Prod (n,s2,t2) ->
+ let status, s = select status ctx s1 s2 in
+ let ctx = (n, NCic.Decl s2) :: ctx in
+ let status, t = select status ctx t1 t2 in
+ status, NCic.Prod (n,s,t)
+ | NCic.Appl l1, NCic.Appl l2 ->
+ let status, l =
+ List.fold_left2
+ (fun (status,l) x y ->
+ let status, x = select status ctx x y in
+ status, x::l)
+ (status,[]) l1 l2
+ in
+ status, NCic.Appl (List.rev l)
+ | NCic.Match (_,ot1,t1,pl1), NCic.Match (u,ot2,t2,pl2) ->
+ let status, t = select status ctx t1 t2 in
+ let status, ot = select status ctx ot1 ot2 in
+ let status, pl =
+ List.fold_left2
+ (fun (status,l) x y ->
+ let status, x = select status ctx x y in
+ status, x::l)
+ (status,[]) pl1 pl2
+ in
+ status, NCic.Match (u,ot,t,List.rev pl)
+ | NCic.Implicit `Hole, t ->
+ (match wanted with
+ | Some wanted ->
+ let status, wanted = disambiguate status wanted None (`Ctx ctx) in
+ match_term status ctx wanted t
+ | None -> match_term status ctx (None,ctx,t) t)
+ | NCic.Implicit _, t -> status, t
+ | _,t ->
+ fail (lazy ("malformed pattern: " ^ NCicPp.ppterm ~metasenv:[]
+ ~context:[] ~subst:[] pat))
+ in
+ let status, term = select low_status context path term in
+ let term = (name, context, term) in
+ mk_meta status ~name:out_scope_tag (`Ctx context) (`Def term)
+;;
+
+let select ~where status goal =
+ let name, _, _ as goalty = get_goal status goal in
+ let (wanted,_,where) = GrafiteDisambiguate.disambiguate_npattern where in
+ let path =
+ match where with None -> NCic.Implicit `Term | Some where -> where
+ in
+ let status, newgoalty = select_term status goalty (wanted,path) in
+ let status, instance =
+ mk_meta status ?name (`Term newgoalty) (`Decl newgoalty)
+ in
+ instantiate status goal instance
+;;
+
+let select_tac ~where = distribute_tac (select ~where) ;;
+
+let exact t status goal =
+ let goalty = get_goal status goal in
+ let status, t = disambiguate status t (Some goalty) (`Term goalty) in
+ instantiate status goal t
+;;
+
+let exact_tac t = distribute_tac (exact t) ;;
+
+let reopen status =
+ let n,h,metasenv,subst,o = status.pstatus in
+ let subst, newm =
+ List.partition
+ (function (_,(Some tag,_,_,_)) -> tag <> in_scope_tag && tag <> out_scope_tag
+ | _ -> true)
+ subst
+ in
+ let in_m, out_m =
+ List.partition
+ (function (_,(Some tag,_,_,_)) -> tag = in_scope_tag | _ -> assert false)
+ newm
+ in
+ let metasenv = List.map (fun (i,(_,c,_,t)) -> i,(None,c,t)) in_m @ metasenv in
+ let in_m = List.map fst in_m in
+ let out_m = match out_m with [i] -> i | _ -> assert false in
+ { status with pstatus = n,h,metasenv,subst,o }, in_m, out_m
+;;
+
+let change ~where ~with_what status goal =
+ let (name,_,_ as goalty) = get_goal status goal in
+ let (wanted,_,where) = GrafiteDisambiguate.disambiguate_npattern where in
+ let path =
+ match where with None -> NCic.Implicit `Term | Some where -> where
+ in
+ let status, newgoalty = select_term status goalty (wanted,path) in
+ let status, in_scope, out_scope = reopen status in
+ let status = List.fold_left (exact with_what) status in_scope in
+
+ let j,(n,cctx,bo,_) = out_scope in
+ let _ = typeof status (`Term goalty) (n,cctx,bo) in
+
+ let n,h,metasenv,subst,o = status.pstatus in
+ let subst = out_scope :: subst in
+ let status = { status with pstatus = n,h,metasenv,subst,o } in
+
+ let status, instance =
+ mk_meta status ?name (`Term newgoalty) (`Decl newgoalty)
+ in
+ instantiate status goal instance
+;;
+
+let apply t status goal = exact t status goal;;
+
+let apply_tac t = distribute_tac (apply t) ;;
+let change_tac ~where ~with_what = distribute_tac (change ~where ~with_what) ;;
+
+let elim_tac ~what ~where status =
+ block_tac
+ [ select_tac ~where;
+ distribute_tac (fun status goal ->
+ let goalty = get_goal status goal in
+ let status, (_,_,w as what) =
+ disambiguate status what None (`Term goalty) in
+ let _ty_what = typeof status (`Term what) what in
+ (* check inductive... find eliminator *)
+ let w = (*astify what *) CicNotationPt.Ident ("m",None) in
+ let holes = [
+ CicNotationPt.Implicit;CicNotationPt.Implicit;CicNotationPt.Implicit]
+ in
+ let eliminator =
+ CicNotationPt.Appl(CicNotationPt.Ident("nat_ind",None)::holes @ [ w ])
+ in
+ exec (apply_tac ("",0,eliminator)) status goal) ]
+ status
+;;
+
+let intro_tac name =
+ exact_tac
+ ("",0,(CicNotationPt.Binder (`Lambda,
+ (CicNotationPt.Ident (name,None),None),CicNotationPt.Implicit)))
+;;
+
+let case status goal =
+ let _,ctx,_ = get_goal status goal in
+ let ty = typeof status (`Ctx ctx) ("",ctx,NCic.Rel 1) in
+ let ref =
+ match whd status (`Ctx ctx) ty with
+ _,_,NCic.Const ref
+ | _,_,NCic.Appl (NCic.Const ref :: _) -> ref
+ | _,_,_ -> fail (lazy ("not an inductive type")) in
+ let _,_,tl,_,i = NCicEnvironment.get_checked_indtys ref in
+ let _,_,_,cl = List.nth tl i in
+ let consno = List.length cl in
+ let t =
+ NCic.Match (ref,NCic.Implicit `Term,NCic.Rel 1,HExtlib.mk_list (NCic.Implicit `Term) consno)
+ in
+ let status,t,ty = refine status (`Ctx ctx) ("",ctx,t) None in
+ instantiate status goal t
+;;
+
+let case_tac = distribute_tac case;;
+
+let case1_tac name =
+ block_tac [ intro_tac name; case_tac ]
+;;