X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Fng_tactics%2FnTactics.ml;h=a384d54d56259f89952a7a14f8d013022cee568a;hb=d268de514258947484a22a106c220b102c611cc3;hp=d54f97145a021a2ce493fe4b977e033d088933ab;hpb=d58b48162ad53fb369d285e60a99f746a497ad89;p=helm.git diff --git a/helm/software/components/ng_tactics/nTactics.ml b/helm/software/components/ng_tactics/nTactics.ml index d54f97145..a384d54d5 100644 --- a/helm/software/components/ng_tactics/nTactics.ml +++ b/helm/software/components/ng_tactics/nTactics.ml @@ -13,18 +13,23 @@ open Printf -let debug = true +let debug = false let debug_print s = if debug then prerr_endline (Lazy.force s) else () open Continuationals.Stack open NTacStatus module Ast = CicNotationPt -let id_tac status = status;; +let id_tac status = status ;; +let print_tac print_status message status = + if print_status then pp_status status; + prerr_endline message; + status +;; let dot_tac status = - let new_gstatus = - match status.gstatus with + let gstatus = + match status#stack with | [] -> assert false | ([], _, [], _) :: _ as stack -> (* backward compatibility: do-nothing-dot *) @@ -38,12 +43,12 @@ let dot_tac status = (([ loc ], t, k, tag) :: s) | _ -> fail (lazy "can't use \".\" here") in - { status with gstatus = new_gstatus } + status#set_stack gstatus ;; let branch_tac status = - let new_gstatus = - match status.gstatus with + let gstatus = + match status#stack with | [] -> assert false | (g, t, k, tag) :: s -> match init_pos g with (* TODO *) @@ -51,12 +56,12 @@ let branch_tac status = | loc :: loc_tl -> ([ loc ], [], [], `BranchTag) :: (loc_tl, t, k, tag) :: s in - { status with gstatus = new_gstatus } + status#set_stack gstatus ;; let shift_tac status = - let new_gstatus = - match status.gstatus with + let gstatus = + match status#stack with | (g, t, k, `BranchTag) :: (g', t', k', tag) :: s -> (match g' with | [] -> fail (lazy "no more goals to shift") @@ -65,12 +70,12 @@ let shift_tac status = :: (loc_tl, t', k', tag) :: s)) | _ -> fail (lazy "can't shift goals here") in - { status with gstatus = new_gstatus } + status#set_stack gstatus ;; let pos_tac i_s status = - let new_gstatus = - match status.gstatus with + let gstatus = + match status#stack with | [] -> assert false | ([ loc ], t, [],`BranchTag) :: (g', t', k', tag) :: s when is_fresh loc -> @@ -79,35 +84,35 @@ let pos_tac i_s status = :: (([ loc ] @+ g') @- l_js, t', k', tag) :: s) | _ -> fail (lazy "can't use relative positioning here") in - { status with gstatus = new_gstatus } + status#set_stack gstatus ;; let wildcard_tac status = - let new_gstatus = - match status.gstatus with + let gstatus = + match status#stack with | [] -> assert false | ([ loc ] , t, [], `BranchTag) :: (g', t', k', tag) :: s when is_fresh loc -> (([loc] @+ g', t, [], `BranchTag) :: ([], t', k', tag) :: s) | _ -> fail (lazy "can't use wildcard here") in - { status with gstatus = new_gstatus } + status#set_stack gstatus ;; let merge_tac status = - let new_gstatus = - match status.gstatus with + let gstatus = + match status#stack with | [] -> assert false | (g, t, k,`BranchTag) :: (g', t', k', tag) :: s -> ((t @+ filter_open g @+ g' @+ k, t', k', tag) :: s) | _ -> fail (lazy "can't merge goals here") in - { status with gstatus = new_gstatus } + status#set_stack gstatus ;; let focus_tac gs status = - let new_gstatus = - match status.gstatus with + let gstatus = + match status#stack with | [] -> assert false | s -> assert(gs <> []); let stack_locs = @@ -121,22 +126,22 @@ let focus_tac gs status = gs; (zero_pos gs, [], [], `FocusTag) :: deep_close gs s in - { status with gstatus = new_gstatus } + status#set_stack gstatus ;; let unfocus_tac status = - let new_gstatus = - match status.gstatus with + let gstatus = + match status#stack with | [] -> assert false | ([], [], [], `FocusTag) :: s -> s | _ -> fail (lazy "can't unfocus, some goals are still open") in - { status with gstatus = new_gstatus } + status#set_stack gstatus ;; let skip_tac status = - let new_gstatus = - match status.gstatus with + let gstatus = + match status#stack with | [] -> assert false | (gl, t, k, tag) :: s -> let gl = List.map switch_of_loc gl in @@ -145,7 +150,7 @@ let skip_tac status = else ([],t,k,tag) :: s in - { status with gstatus = new_gstatus } + status#set_stack gstatus ;; let block_tac l status = @@ -153,9 +158,9 @@ let block_tac l status = ;; let compare_statuses ~past ~present = - let _,_,past,_,_ = past.pstatus in - let _,_,present,_,_ = present.pstatus in - List.map fst (List.filter (fun (i,_) -> not (List.mem_assoc i past)) present), + let _,_,past,_,_ = past#obj in + let _,_,present,_,_ = present#obj in + List.map fst (List.filter (fun (i,_) -> not(List.mem_assoc i past)) present), List.map fst (List.filter (fun (i,_) -> not (List.mem_assoc i present)) past) ;; @@ -167,26 +172,32 @@ let compare_statuses ~past ~present = distribute_tac (exec tac) [s]::G = (G1@...Gn)::G' 3) tac G = distribute_tac (exec tac) G if tac = distribute_tac lowtac + 4) atomic_tac t === distribute_tac (exec t) Note that executing an high tactic on a set of goals may be stronger than executing the same tactic on those goals, but once at a time (e.g. the tactic could perform a global analysis of the set of goals) *) -let exec tac low_status g = +let exec tac (low_status : #lowtac_status) g = let stack = [ [0,Open g], [], [], `NoTag ] in - let status = tac { gstatus = stack ; istatus = low_status } in - status.istatus + let status = + (new NTacStatus.status low_status#obj stack)#set_estatus low_status + in + let status = tac status in + (low_status#set_estatus status)#set_obj status#obj ;; -let distribute_tac tac status = - match status.gstatus with +let distribute_tac tac (status : #tac_status) = + match status#stack with | [] -> assert false | (g, t, k, tag) :: s -> debug_print (lazy ("context length " ^string_of_int (List.length g))); let rec aux s go gc = function - | [] -> s, go, gc + | [] -> + debug_print (lazy "no selected goals"); + s, go, gc | loc :: loc_tl -> debug_print (lazy "inner eval tactical"); let s, go, gc = @@ -198,11 +209,14 @@ let distribute_tac tac status = | Open n -> let sn = tac s n in let go', gc' = compare_statuses ~past:s ~present:sn in - sn, (go @- gc') @+ go', gc @+ gc' + sn, ((go @+ [n]) @- gc') @+ go', gc @+ gc' in aux s go gc loc_tl in - let s0, go0, gc0 = status.istatus, [], [] in + let s0 = + (new NTacStatus.status status#obj ())#set_estatus + (status :> NEstatus.status) in + let s0, go0, gc0 = s0, [], [] in let sn, gon, gcn = aux s0 go0 gc0 g in debug_print (lazy ("opened: " ^ String.concat " " (List.map string_of_int gon))); @@ -211,16 +225,44 @@ let distribute_tac tac status = let stack = (zero_pos gon, t @~- gcn, k @~- gcn, tag) :: deep_close gcn s in - { gstatus = stack; istatus = sn } + ((status#set_stack stack)#set_obj(sn:>lowtac_status)#obj)#set_estatus sn ;; -let exact t status goal = +let atomic_tac htac = distribute_tac (exec htac) ;; + +let try_tac tac status = + try + tac status + with NTacStatus.Error _ -> + status +;; + +let first_tac tacl status = + let res = + HExtlib.list_findopt + (fun tac _ -> try Some (tac status) with NTacStatus.Error _ -> None) tacl + in + match res with + | None -> fail (lazy "No tactics left") + | Some x -> x +;; + +let exact_tac t : 's tactic = distribute_tac (fun status goal -> let goalty = get_goalty status goal in let status, t = disambiguate status t (Some goalty) (ctx_of goalty) in - instantiate status goal t + instantiate status goal t) ;; -let exact_tac t = distribute_tac (exact t) ;; +let assumption_tac status = distribute_tac (fun status goal -> + let gty = get_goalty status goal in + let context = ctx_of gty in + let htac = + first_tac + (List.map (fun (name,_) -> exact_tac ("",0,(Ast.Ident (name,None)))) + context) + in + exec htac status goal) status +;; let find_in_context name context = let rec aux acc = function @@ -231,23 +273,22 @@ let find_in_context name context = aux 1 context ;; -let clear names status goal = - let goalty = get_goalty status goal in - let js = - List.map +let clear_tac names = + if names = [] then id_tac + else + distribute_tac (fun status goal -> + let goalty = get_goalty status goal in + let js = + List.map (fun name -> try find_in_context name (ctx_of goalty) with Not_found -> fail (lazy ("hypothesis '" ^ name ^ "' not found"))) names - in - let n,h,metasenv,subst,o = status.pstatus in - let metasenv,subst,_ = NCicMetaSubst.restrict metasenv subst goal js in - { status with pstatus = n,h,metasenv,subst,o } -;; - -let clear_tac names = - if names = [] then id_tac else distribute_tac (clear names) + in + let n,h,metasenv,subst,o = status#obj in + let metasenv,subst,_ = NCicMetaSubst.restrict metasenv subst goal js in + status#set_obj (n,h,metasenv,subst,o)) ;; let generalize0_tac args = @@ -255,26 +296,62 @@ let generalize0_tac args = else exact_tac ("",0,Ast.Appl (Ast.Implicit :: args)) ;; -let select ~where:(wanted,_,where) status goal = - let goalty = get_goalty status goal in - let path = - match where with None -> NCic.Implicit `Term | Some where -> where +let select0_tac ~where:(wanted,hyps,where) ~job = + let found, postprocess = + match job with + | `Substexpand argsno -> mk_in_scope, mk_out_scope argsno + | `Collect l -> (fun s t -> l := t::!l; mk_in_scope s t), mk_out_scope 1 + | `ChangeWith f -> f,(fun s t -> s, t) in - let status, newgoalty = select_term status goalty (wanted,path) in - let status, instance = - mk_meta status (ctx_of newgoalty) (`Decl newgoalty) - in - instantiate status goal instance + distribute_tac (fun status goal -> + let goalty = get_goalty status goal in + let path = + match where with None -> NCic.Implicit `Term | Some where -> where + in + let status, newgoalctx = + List.fold_right + (fun (name,d as entry) (status,ctx) -> + try + let path = List.assoc name hyps in + match d with + NCic.Decl ty -> + let status,ty = + select_term status ~found ~postprocess (mk_cic_term ctx ty) + (wanted,path) in + let status,ty = term_of_cic_term status ty ctx in + status,(name,NCic.Decl ty)::ctx + | NCic.Def (bo,ty) -> + let status,bo = + select_term status ~found ~postprocess (mk_cic_term ctx bo) + (wanted,path) in + let status,bo = term_of_cic_term status bo ctx in + status,(name,NCic.Def (bo,ty))::ctx + with + Not_found -> status, entry::ctx + ) (ctx_of goalty) (status,[]) + in + let status, newgoalty = + select_term status ~found ~postprocess goalty (wanted,path) in + (* WARNING: the next two lines simply change the context of newgoalty + from the old to the new one. Otherwise mk_meta will do that herself, + calling relocate that calls delift. However, newgoalty is now + ?[out_scope] and thus the delift would trigger the special unification + case, which is wrong now :-( *) + let status,newgoalty = term_of_cic_term status newgoalty (ctx_of goalty) in + let newgoalty = mk_cic_term newgoalctx newgoalty in + + let status, instance = + mk_meta status newgoalctx (`Decl newgoalty) + in + instantiate status goal instance) ;; -let select0_tac ~where = distribute_tac (select ~where) ;; - -let select_tac ~where move_down_hyps = +let select_tac ~where ~job move_down_hyps = let (wanted,hyps,where) = GrafiteDisambiguate.disambiguate_npattern where in let path = match where with None -> NCic.Implicit `Term | Some where -> where in if not move_down_hyps then - select0_tac ~where:(wanted,hyps,Some path) + select0_tac ~where:(wanted,hyps,Some path) ~job else let path = List.fold_left @@ -283,92 +360,127 @@ let select_tac ~where move_down_hyps = in block_tac [ generalize0_tac (List.map (fun (name,_) -> Ast.Ident (name,None)) hyps); - select0_tac ~where:(wanted,[],Some path); + select0_tac ~where:(wanted,[],Some path) ~job; clear_tac (List.map fst hyps) ] ;; -(* let generalize_tac ~where = - block_tac [ select_tac ~where true ; generalize0_tac ???? ] + let l = ref [] in + block_tac [ + select_tac ~where ~job:(`Collect l) true; + print_tac true "ha selezionato?"; + (fun s -> distribute_tac (fun status goal -> + let goalty = get_goalty status goal in + let status,canon,rest = + match !l with + [] -> + (match where with + _,_,(None,_,_) -> fail (lazy "No term to generalize") + | txt,txtlen,(Some what,_,_) -> + let status, what = + disambiguate status (txt,txtlen,what) None (ctx_of goalty) + in + status,what,[] + ) + | he::tl -> status,he,tl in + let status = + List.fold_left + (fun s t -> unify s (ctx_of goalty) canon t) status rest in + let status, canon = term_of_cic_term status canon (ctx_of goalty) in + instantiate status goal + (mk_cic_term (ctx_of goalty) (NCic.Appl [NCic.Implicit `Term ; canon ])) + ) s) ] ;; -*) - -let reopen status = - let n,h,metasenv,subst,o = status.pstatus in - let subst, newm = - List.partition - (function (_,(Some tag,_,_,_)) -> - tag <> NCicMetaSubst.in_scope_tag && - not (NCicMetaSubst.is_out_scope_tag tag) - | _ -> true) - subst - in - let in_m, out_m = - List.partition - (function (_,(Some tag,_,_,_)) -> - tag = NCicMetaSubst.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 reduce_tac ~reduction ~where = + let change status t = + match reduction with + | `Normalize perform_delta -> + normalize status + ?delta:(if perform_delta then None else Some max_int) (ctx_of t) t + | `Whd perform_delta -> + whd status + ?delta:(if perform_delta then None else Some max_int) (ctx_of t) t + in + let where = GrafiteDisambiguate.disambiguate_npattern where in + select0_tac ~where ~job:(`ChangeWith change) ;; -let change ~where ~with_what status goal = - let goalty = get_goalty 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 change_tac ~where ~with_what = + let change status t = + let status, ww = disambiguate status with_what None (ctx_of t) in + let status = unify status (ctx_of t) t ww in + status, ww + in + let where = GrafiteDisambiguate.disambiguate_npattern where in + select0_tac ~where ~job:(`ChangeWith change) +;; - let j,(n,cctx,bo,_) = out_scope in - let _ = typeof status (ctx_of goalty) (Obj.magic (n,cctx,bo)) in +let letin_tac ~where ~what:(_,_,w) name = + block_tac [ + select_tac ~where ~job:(`Substexpand 1) true; + exact_tac ("",0,Ast.LetIn((Ast.Ident (name,None),None),w,Ast.Implicit)); + ] +;; - 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 apply_tac = exact_tac;; - let status, instance = - mk_meta status (ctx_of newgoalty) (`Decl newgoalty) - in - instantiate status goal instance +type indtyinfo = { + rightno: int; + leftno: int; + consno: int; + lefts: NCic.term list; + rights: NCic.term list; + reference: NReference.reference; + } ;; -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 analyze_indty_tac ~what indtyref = distribute_tac (fun status goal -> + let goalty = get_goalty status goal in + let status, what = disambiguate status what None (ctx_of goalty) in + let status, ty_what = typeof status (ctx_of what) what in + let status, (r,consno,lefts,rights) = analyse_indty status ty_what in + let leftno = List.length rights in + let rightno = List.length rights in + indtyref := Some { + rightno = rightno; leftno = leftno; consno = consno; + lefts = lefts; rights = rights; reference = r; + }; + exec id_tac status goal) +;; -let elim_tac ~what ~where status = - block_tac - [ select_tac ~where true; - distribute_tac (fun status goal -> - let goalty = get_goalty status goal in - let goalsort = typeof status (ctx_of goalty) goalty in +let elim_tac ~what ~where = + let indtyinfo = ref None in + let sort = ref None in + let compute_goal_sort_tac = distribute_tac (fun status goal -> + let goalty = get_goalty status goal in + let status, goalsort = typeof status (ctx_of goalty) goalty in + sort := Some goalsort; + exec id_tac status goal) + in + atomic_tac (block_tac [ + analyze_indty_tac ~what indtyinfo; + (fun s -> select_tac + ~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1)) true s); + compute_goal_sort_tac; + (fun status -> + let sort = HExtlib.unopt !sort in + let ity = HExtlib.unopt !indtyinfo in + let NReference.Ref (uri, _) = ity.reference in + let status, sort = term_of_cic_term status sort (ctx_of sort) in + let name = NUri.name_of_uri uri ^ + match sort with + | NCic.Sort NCic.Prop -> "_ind" + | NCic.Sort _ -> "_rect" + | _ -> assert false + in + let holes = + HExtlib.mk_list Ast.Implicit (ity.leftno+1+ ity.consno + ity.rightno) in + let eliminator = let _,_,w = what in - let status, what = - disambiguate status what None (ctx_of goalty) in - let ty_what = typeof status (ctx_of what) what in - let NReference.Ref (uri,_),consno,lefts,rights = - analyse_indty status ty_what in - let name = NUri.name_of_uri uri ^ - match term_of_cic_term goalsort (ctx_of goalsort) with - NCic.Sort NCic.Prop -> "_ind" - | NCic.Sort _ -> "_rect" - | _ -> assert false in - let leftno = List.length rights in - let rightno = List.length rights in - let holes=HExtlib.mk_list Ast.Implicit (leftno + 1 + consno + rightno) in - let eliminator = - Ast.Appl(Ast.Ident(name,None)::holes @ [ w ]) - in - exec (apply_tac ("",0,eliminator)) status goal) ] - status + Ast.Appl(Ast.Ident(name,None)::holes @ [ w ]) + in + exact_tac ("",0,eliminator) status) ]) ;; let rewrite_tac ~dir ~what:(_,_,what) ~where = @@ -376,7 +488,7 @@ let rewrite_tac ~dir ~what:(_,_,what) ~where = match dir with `LeftToRight -> "eq_elim_r" | `RightToLeft -> "eq_ind" in block_tac - [ select_tac ~where true; + [ select_tac ~where ~job:(`Substexpand 1) true; exact_tac ("",0, Ast.Appl(Ast.Ident(name,None)::HExtlib.mk_list Ast.Implicit 5 @ @@ -386,18 +498,19 @@ let rewrite_tac ~dir ~what:(_,_,what) ~where = let intro_tac name = block_tac [ exact_tac - ("",0,(Ast.Binder (`Lambda, - (Ast.Ident (name,None),None),Ast.Implicit))); - if name = "_" then clear_tac [name] else id_tac ] + ("",0,(Ast.Binder (`Lambda, + (Ast.Ident (name,None),None),Ast.Implicit))); + if name = "_" then clear_tac [name] else id_tac ] ;; let cases ~what status goal = let gty = get_goalty status goal in let status, what = disambiguate status what None (ctx_of gty) in - let ty = typeof status (ctx_of what) what in - let ref, consno, _, _ = analyse_indty status ty in + let status, ty = typeof status (ctx_of what) what in + let status, (ref, consno, _, _) = analyse_indty status ty in + let status, what = term_of_cic_term status what (ctx_of gty) in let t = - NCic.Match (ref,NCic.Implicit `Term, term_of_cic_term what (ctx_of gty), + NCic.Match (ref,NCic.Implicit `Term, what, HExtlib.mk_list (NCic.Implicit `Term) consno) in let ctx = ctx_of gty in @@ -406,7 +519,13 @@ let cases ~what status goal = ;; let cases_tac ~what ~where = - block_tac [ select_tac ~where true ; distribute_tac (cases ~what) ] + let indtyinfo = ref None in + atomic_tac + (block_tac [ + analyze_indty_tac ~what indtyinfo; + (fun s -> select_tac + ~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1))true s); + distribute_tac (cases ~what) ]) ;; let case1_tac name = @@ -415,5 +534,82 @@ let case1_tac name = cases_tac ~where:("",0,(None,[],None)) ~what:("",0,Ast.Ident (name,None)); - if name = "_clearme" then clear_tac ["_clearme"] else id_tac ] + if name = "_clearme" then clear_tac ["_clearme"] else id_tac ] +;; + +let assert0_tac (hyps,concl) = distribute_tac (fun status goal -> + let gty = get_goalty status goal in + let eq status ctx t1 t2 = + let status,t1 = disambiguate status t1 None ctx in + let status,t1 = apply_subst status ctx t1 in + let status,t1 = term_of_cic_term status t1 ctx in + let t2 = mk_cic_term ctx t2 in + let status,t2 = apply_subst status ctx t2 in + let status,t2 = term_of_cic_term status t2 ctx in + prerr_endline ("COMPARING: " ^ NCicPp.ppterm ~subst:[] ~metasenv:[] ~context:ctx t1 ^ " vs " ^ NCicPp.ppterm ~subst:[] ~metasenv:[] ~context:ctx t2); + assert (t1=t2); + status + in + let status,gty' = term_of_cic_term status gty (ctx_of gty) in + let status = eq status (ctx_of gty) concl gty' in + let status,_ = + List.fold_right2 + (fun (id1,e1) ((id2,e2) as item) (status,ctx) -> + assert (id1=id2 || (prerr_endline (id1 ^ " vs " ^ id2); false)); + match e1,e2 with + `Decl t1, NCic.Decl t2 -> + let status = eq status ctx t1 t2 in + status,item::ctx + | `Def (b1,t1), NCic.Def (b2,t2) -> + let status = eq status ctx t1 t2 in + let status = eq status ctx b1 b2 in + status,item::ctx + | _ -> assert false + ) hyps (ctx_of gty) (status,[]) + in + exec id_tac status goal) +;; + +let assert_tac seqs status = + match status#stack with + | [] -> assert false + | (g,_,_,_) :: s -> + assert (List.length g = List.length seqs); + (match seqs with + [] -> id_tac + | [seq] -> assert0_tac seq + | _ -> + block_tac + (branch_tac:: + HExtlib.list_concat ~sep:[shift_tac] + (List.map (fun seq -> [assert0_tac seq]) seqs)@ + [merge_tac]) + ) status +;; + +let auto ~params:(l,_) status goal = + let gty = get_goalty status goal in + let n,h,metasenv,subst,o = status#obj in + let status,t = term_of_cic_term status gty (ctx_of gty) in + let status, l = + List.fold_left + (fun (status, l) t -> + let status, t = disambiguate status t None (ctx_of gty) in + let status, ty = typeof status (ctx_of t) t in + let status, t = term_of_cic_term status t (ctx_of gty) in + let status, ty = term_of_cic_term status ty (ctx_of ty) in + (status, (t,ty) :: l)) + (status,[]) l + in + match + NCicParamod.nparamod status metasenv subst (ctx_of gty) (NCic.Rel ~-1,t) l + with + | [] -> raise (NTacStatus.Error (lazy "no proof found",None)) + | (pt, metasenv, subst)::_ -> + let status = status#set_obj (n,h,metasenv,subst,o) in + instantiate status goal (NTacStatus.mk_cic_term (ctx_of gty) pt) +;; + +let auto_tac ~params status = + distribute_tac (auto ~params) status ;;