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Diffstat (limited to 'plugins/decl_mode/decl_proof_instr.ml')
| -rw-r--r-- | plugins/decl_mode/decl_proof_instr.ml | 1552 |
1 files changed, 0 insertions, 1552 deletions
diff --git a/plugins/decl_mode/decl_proof_instr.ml b/plugins/decl_mode/decl_proof_instr.ml deleted file mode 100644 index d30fcf60..00000000 --- a/plugins/decl_mode/decl_proof_instr.ml +++ /dev/null @@ -1,1552 +0,0 @@ -(************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2016 *) -(* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) -(************************************************************************) - -open CErrors -open Util -open Pp -open Evd - -open Tacmach -open Tacintern -open Decl_expr -open Decl_mode -open Decl_interp -open Glob_term -open Glob_ops -open Names -open Nameops -open Declarations -open Tactics -open Tacticals -open Term -open Vars -open Termops -open Namegen -open Goptions -open Misctypes -open Sigma.Notations -open Context.Named.Declaration - -(* Strictness option *) - -let clear ids { it = goal; sigma } = - let ids = List.fold_left (fun accu x -> Id.Set.add x accu) Id.Set.empty ids in - let env = Goal.V82.env sigma goal in - let sign = Goal.V82.hyps sigma goal in - let cl = Goal.V82.concl sigma goal in - let evdref = ref (Evd.clear_metas sigma) in - let (hyps, concl) = - try Evarutil.clear_hyps_in_evi env evdref sign cl ids - with Evarutil.ClearDependencyError (id, _) -> - errorlabstrm "" (str "Cannot clear " ++ pr_id id) - in - let sigma = !evdref in - let (gl,ev,sigma) = Goal.V82.mk_goal sigma hyps concl (Goal.V82.extra sigma goal) in - let sigma = Goal.V82.partial_solution_to sigma goal gl ev in - { it = [gl]; sigma } - -let get_its_info gls = get_info gls.sigma gls.it - -let get_strictness,set_strictness = - let strictness = ref false in - (fun () -> (!strictness)),(fun b -> strictness:=b) - -let _ = - declare_bool_option - { optsync = true; - optdepr = false; - optname = "strict proofs"; - optkey = ["Strict";"Proofs"]; - optread = get_strictness; - optwrite = set_strictness } - -let tcl_change_info_gen info_gen = - (fun gls -> - let it = sig_it gls in - let concl = pf_concl gls in - let hyps = Goal.V82.hyps (project gls) it in - let extra = Goal.V82.extra (project gls) it in - let (gl,ev,sigma) = Goal.V82.mk_goal (project gls) hyps concl (info_gen extra) in - let sigma = Goal.V82.partial_solution sigma it ev in - { it = [gl] ; sigma= sigma; } ) - -let tcl_change_info info gls = - let info_gen s = Store.set s Decl_mode.info info in - tcl_change_info_gen info_gen gls - -let tcl_erase_info gls = - let info_gen s = Store.remove s Decl_mode.info in - tcl_change_info_gen info_gen gls - -let special_whd gl= - let infos=CClosure.create_clos_infos CClosure.all (pf_env gl) in - (fun t -> CClosure.whd_val infos (CClosure.inject t)) - -let special_nf gl= - let infos=CClosure.create_clos_infos CClosure.betaiotazeta (pf_env gl) in - (fun t -> CClosure.norm_val infos (CClosure.inject t)) - -let is_good_inductive env ind = - let mib,oib = Inductive.lookup_mind_specif env ind in - Int.equal oib.mind_nrealargs 0 && not (Inductiveops.mis_is_recursive (ind,mib,oib)) - -let check_not_per pts = - if not (Proof.is_done pts) then - match get_stack pts with - Per (_,_,_,_)::_ -> - error "You are inside a proof per cases/induction.\n\ -Please \"suppose\" something or \"end\" it now." - | _ -> () - -let mk_evd metalist gls = - let evd0= clear_metas (sig_sig gls) in - let add_one (meta,typ) evd = - meta_declare meta typ evd in - List.fold_right add_one metalist evd0 - -let is_tmp id = (Id.to_string id).[0] == '_' - -let tmp_ids gls = - let ctx = pf_hyps gls in - match ctx with - [] -> [] - | _::q -> List.filter is_tmp (ids_of_named_context q) - -let clean_tmp gls = - let clean_id id0 gls0 = - tclTRY (clear [id0]) gls0 in - let rec clean_all = function - [] -> tclIDTAC - | id :: rest -> tclTHEN (clean_id id) (clean_all rest) - in - clean_all (tmp_ids gls) gls - -let assert_postpone id t = - assert_before (Name id) t - -(* start a proof *) - - -let start_proof_tac gls= - let info={pm_stack=[]} in - tcl_change_info info gls - -let go_to_proof_mode () = - ignore (Pfedit.by (Proofview.V82.tactic start_proof_tac)); - let p = Proof_global.give_me_the_proof () in - Decl_mode.focus p - -(* closing gaps *) - -(* spiwack: should use [Proofview.give_up] but that would require - moving the whole declarative mode into the new proof engine. It - will eventually have to be done. - - As far as I can tell, [daimon_tac] is used after a [thus thesis], - it will leave uninstantiated variables instead of giving a relevant - message at [Qed]. *) -let daimon_tac gls = - set_daimon_flag (); - {it=[];sigma=sig_sig gls;} - -let daimon_instr env p = - let (p,(status,_)) = - Proof.run_tactic env begin - Proofview.tclINDEPENDENT Proofview.give_up - end p - in - p,status - -let do_daimon () = - let env = Global.env () in - let status = - Proof_global.with_current_proof begin fun _ p -> - daimon_instr env p - end - in - if not status then Feedback.feedback Feedback.AddedAxiom else () - -(* post-instruction focus management *) - -let goto_current_focus () = - Decl_mode.unfocus () - -(* spiwack: used to catch errors indicating lack of "focusing command" - in the proof tree. In the current implementation, however, entering - the declarative mode puts a focus first, there should, therefore, - never be exception raised here. *) -let goto_current_focus_or_top () = - goto_current_focus () - -(* return *) - -let close_tactic_mode () = - try do_daimon ();goto_current_focus () - with Not_found -> - error "\"return\" cannot be used outside of Declarative Proof Mode." - -let return_from_tactic_mode () = - close_tactic_mode () - -(* end proof/claim *) - -let close_block bt pts = - if Proof.no_focused_goal pts then - goto_current_focus () - else - let stack = - if Proof.is_done pts then - get_top_stack pts - else - get_stack pts - in - match bt,stack with - B_claim, Claim::_ | B_focus, Focus_claim::_ | B_proof, [] -> - do_daimon ();goto_current_focus () - | _, Claim::_ -> - error "\"end claim\" expected." - | _, Focus_claim::_ -> - error "\"end focus\" expected." - | _, [] -> - error "\"end proof\" expected." - | _, (Per (et,_,_,_)::_|Suppose_case::Per (et,_,_,_)::_) -> - begin - match et with - ET_Case_analysis -> error "\"end cases\" expected." - | ET_Induction -> error "\"end induction\" expected." - end - | _,_ -> anomaly (Pp.str "Lonely suppose on stack.") - - -(* utility for suppose / suppose it is *) - -let close_previous_case pts = - if - Proof.is_done pts - then - match get_top_stack pts with - Per (et,_,_,_) :: _ -> anomaly (Pp.str "Weird case occurred ...") - | Suppose_case :: Per (et,_,_,_) :: _ -> - goto_current_focus () - | _ -> error "Not inside a proof per cases or induction." - else - match get_stack pts with - Per (et,_,_,_) :: _ -> () - | Suppose_case :: Per (et,_,_,_) :: _ -> - do_daimon ();goto_current_focus () - | _ -> error "Not inside a proof per cases or induction." - -(* Proof instructions *) - -(* automation *) - -let filter_hyps f gls = - let filter_aux id = - let id = get_id id in - if f id then - tclIDTAC - else - tclTRY (clear [id]) in - tclMAP filter_aux (pf_hyps gls) gls - -let local_hyp_prefix = Id.of_string "___" - -let add_justification_hyps keep items gls = - let add_aux c gls= - match kind_of_term c with - Var id -> - keep:=Id.Set.add id !keep; - tclIDTAC gls - | _ -> - let id=pf_get_new_id local_hyp_prefix gls in - keep:=Id.Set.add id !keep; - tclTHEN (Proofview.V82.of_tactic (letin_tac None (Names.Name id) c None Locusops.nowhere)) - (Proofview.V82.of_tactic (clear_body [id])) gls in - tclMAP add_aux items gls - -let prepare_goal items gls = - let tokeep = ref Id.Set.empty in - let auxres = add_justification_hyps tokeep items gls in - tclTHENLIST - [ (fun _ -> auxres); - filter_hyps (let keep = !tokeep in fun id -> Id.Set.mem id keep)] gls - -let my_automation_tac = ref - (Proofview.tclZERO (CErrors.make_anomaly (Pp.str"No automation registered"))) - -let register_automation_tac tac = my_automation_tac:= tac - -let automation_tac = Proofview.tclBIND (Proofview.tclUNIT ()) (fun () -> !my_automation_tac) - -let warn_insufficient_justification = - CWarnings.create ~name:"declmode-insufficient-justification" ~category:"declmode" - (fun () -> strbrk "Insufficient justification.") - -let justification tac gls= - tclORELSE - (tclSOLVE [tclTHEN tac (Proofview.V82.of_tactic assumption)]) - (fun gls -> - if get_strictness () then - error "Insufficient justification." - else - begin - warn_insufficient_justification (); - daimon_tac gls - end) gls - -let default_justification elems gls= - justification (tclTHEN (prepare_goal elems) (Proofview.V82.of_tactic automation_tac)) gls - -(* code for conclusion refining *) - -let constant dir s = lazy (Coqlib.gen_constant "Declarative" dir s) - -let _and = constant ["Init";"Logic"] "and" - -let _and_rect = constant ["Init";"Logic"] "and_rect" - -let _prod = constant ["Init";"Datatypes"] "prod" - -let _prod_rect = constant ["Init";"Datatypes"] "prod_rect" - -let _ex = constant ["Init";"Logic"] "ex" - -let _ex_ind = constant ["Init";"Logic"] "ex_ind" - -let _sig = constant ["Init";"Specif"] "sig" - -let _sig_rect = constant ["Init";"Specif"] "sig_rect" - -let _sigT = constant ["Init";"Specif"] "sigT" - -let _sigT_rect = constant ["Init";"Specif"] "sigT_rect" - -type stackd_elt = -{se_meta:metavariable; - se_type:types; - se_last_meta:metavariable; - se_meta_list:(metavariable*types) list; - se_evd: evar_map} - -let rec replace_in_list m l = function - [] -> raise Not_found - | c::q -> if Int.equal m (fst c) then l@q else c::replace_in_list m l q - -let enstack_subsubgoals env se stack gls= - let hd,params = decompose_app (special_whd gls se.se_type) in - match kind_of_term hd with - Ind (ind,u as indu) when is_good_inductive env ind -> (* MS: FIXME *) - let mib,oib= - Inductive.lookup_mind_specif env ind in - let gentypes= - Inductive.arities_of_constructors indu (mib,oib) in - let process i gentyp = - let constructor = mkConstructU ((ind,succ i),u) - (* constructors numbering*) in - let appterm = applist (constructor,params) in - let apptype = prod_applist gentyp params in - let rc,_ = Reduction.dest_prod env apptype in - let rec meta_aux last lenv = function - [] -> (last,lenv,[]) - | decl::q -> - let nlast=succ last in - let (llast,holes,metas) = - meta_aux nlast (mkMeta nlast :: lenv) q in - let open Context.Rel.Declaration in - (llast,holes,(nlast,special_nf gls (substl lenv (get_type decl)))::metas) in - let (nlast,holes,nmetas) = - meta_aux se.se_last_meta [] (List.rev rc) in - let refiner = applist (appterm,List.rev holes) in - let evd = meta_assign se.se_meta - (refiner,(Conv,TypeProcessed (* ? *))) se.se_evd in - let ncreated = replace_in_list - se.se_meta nmetas se.se_meta_list in - let evd0 = List.fold_left - (fun evd (m,typ) -> meta_declare m typ evd) evd nmetas in - List.iter (fun (m,typ) -> - Stack.push - {se_meta=m; - se_type=typ; - se_evd=evd0; - se_meta_list=ncreated; - se_last_meta=nlast} stack) (List.rev nmetas) - in - Array.iteri process gentypes - | _ -> () - -let rec nf_list evd = - function - [] -> [] - | (m,typ)::others -> - if meta_defined evd m then - nf_list evd others - else - (m,Reductionops.nf_meta evd typ)::nf_list evd others - -let find_subsubgoal c ctyp skip submetas gls = - let env= pf_env gls in - let concl = pf_concl gls in - let evd = mk_evd ((0,concl)::submetas) gls in - let stack = Stack.create () in - let max_meta = - List.fold_left (fun a (m,_) -> max a m) 0 submetas in - let _ = Stack.push - {se_meta=0; - se_type=concl; - se_last_meta=max_meta; - se_meta_list=[0,concl]; - se_evd=evd} stack in - let rec dfs n = - let se = Stack.pop stack in - try - let unifier = - Unification.w_unify env se.se_evd Reduction.CUMUL - ~flags:(Unification.elim_flags ()) ctyp se.se_type in - if n <= 0 then - {se with - se_evd=meta_assign se.se_meta - (c,(Conv,TypeNotProcessed (* ?? *))) unifier; - se_meta_list=replace_in_list - se.se_meta submetas se.se_meta_list} - else - dfs (pred n) - with e when CErrors.noncritical e -> - begin - enstack_subsubgoals env se stack gls; - dfs n - end in - let nse= try dfs skip with Stack.Empty -> raise Not_found in - nf_list nse.se_evd nse.se_meta_list,Reductionops.nf_meta nse.se_evd (mkMeta 0) - -let concl_refiner metas body gls = - let concl = pf_concl gls in - let evd = sig_sig gls in - let env = pf_env gls in - let sort = family_of_sort (Typing.e_sort_of env (ref evd) concl) in - let rec aux env avoid subst = function - [] -> anomaly ~label:"concl_refiner" (Pp.str "cannot happen") - | (n,typ)::rest -> - let _A = subst_meta subst typ in - let x = id_of_name_using_hdchar env _A Anonymous in - let _x = fresh_id avoid x gls in - let nenv = Environ.push_named (LocalAssum (_x,_A)) env in - let asort = family_of_sort (Typing.e_sort_of nenv (ref evd) _A) in - let nsubst = (n,mkVar _x)::subst in - if List.is_empty rest then - asort,_A,mkNamedLambda _x _A (subst_meta nsubst body) - else - let bsort,_B,nbody = - aux nenv (_x::avoid) ((n,mkVar _x)::subst) rest in - let body = mkNamedLambda _x _A nbody in - if occur_term (mkVar _x) _B then - begin - let _P = mkNamedLambda _x _A _B in - match bsort,sort with - InProp,InProp -> - let _AxB = mkApp(Lazy.force _ex,[|_A;_P|]) in - InProp,_AxB, - mkApp(Lazy.force _ex_ind,[|_A;_P;concl;body|]) - | InProp,_ -> - let _AxB = mkApp(Lazy.force _sig,[|_A;_P|]) in - let _P0 = mkLambda(Anonymous,_AxB,concl) in - InType,_AxB, - mkApp(Lazy.force _sig_rect,[|_A;_P;_P0;body|]) - | _,_ -> - let _AxB = mkApp(Lazy.force _sigT,[|_A;_P|]) in - let _P0 = mkLambda(Anonymous,_AxB,concl) in - InType,_AxB, - mkApp(Lazy.force _sigT_rect,[|_A;_P;_P0;body|]) - end - else - begin - match asort,bsort with - InProp,InProp -> - let _AxB = mkApp(Lazy.force _and,[|_A;_B|]) in - InProp,_AxB, - mkApp(Lazy.force _and_rect,[|_A;_B;concl;body|]) - |_,_ -> - let _AxB = mkApp(Lazy.force _prod,[|_A;_B|]) in - let _P0 = mkLambda(Anonymous,_AxB,concl) in - InType,_AxB, - mkApp(Lazy.force _prod_rect,[|_A;_B;_P0;body|]) - end - in - let (_,_,prf) = aux env [] [] metas in - mkApp(prf,[|mkMeta 1|]) - -let thus_tac c ctyp submetas gls = - let list,proof = - try - find_subsubgoal c ctyp 0 submetas gls - with Not_found -> - error "I could not relate this statement to the thesis." in - if List.is_empty list then - Proofview.V82.of_tactic (exact_check proof) gls - else - let refiner = concl_refiner list proof gls in - Tacmach.refine refiner gls - -(* general forward step *) - -let mk_stat_or_thesis info gls = function - This c -> c - | Thesis (For _ ) -> - error "\"thesis for ...\" is not applicable here." - | Thesis Plain -> pf_concl gls - -let just_tac _then cut info gls0 = - let last_item = - if _then then - try [mkVar (get_last (pf_env gls0))] - with UserError _ -> - error "\"then\" and \"hence\" require at least one previous fact" - else [] - in - let items_tac gls = - match cut.cut_by with - None -> tclIDTAC gls - | Some items -> prepare_goal (last_item@items) gls in - let method_tac gls = - match cut.cut_using with - None -> - Proofview.V82.of_tactic automation_tac gls - | Some tac -> - Proofview.V82.of_tactic (Tacinterp.tactic_of_value (Tacinterp.default_ist ()) tac) gls in - justification (tclTHEN items_tac method_tac) gls0 - -let instr_cut mkstat _thus _then cut gls0 = - let info = get_its_info gls0 in - let stat = cut.cut_stat in - let (c_id,_) = match stat.st_label with - Anonymous -> - pf_get_new_id (Id.of_string "_fact") gls0,false - | Name id -> id,true in - let c_stat = mkstat info gls0 stat.st_it in - let thus_tac gls= - if _thus then - thus_tac (mkVar c_id) c_stat [] gls - else tclIDTAC gls in - tclTHENS (Proofview.V82.of_tactic (assert_postpone c_id c_stat)) - [tclTHEN tcl_erase_info (just_tac _then cut info); - thus_tac] gls0 - - -(* iterated equality *) -let _eq = lazy (Universes.constr_of_global (Coqlib.glob_eq)) - -let decompose_eq id gls = - let typ = pf_get_hyp_typ gls id in - let whd = (special_whd gls typ) in - match kind_of_term whd with - App (f,args)-> - if eq_constr f (Lazy.force _eq) && Int.equal (Array.length args) 3 - then (args.(0), - args.(1), - args.(2)) - else error "Previous step is not an equality." - | _ -> error "Previous step is not an equality." - -let instr_rew _thus rew_side cut gls0 = - let last_id = - try get_last (pf_env gls0) - with UserError _ -> error "No previous equality." - in - let typ,lhs,rhs = decompose_eq last_id gls0 in - let items_tac gls = - match cut.cut_by with - None -> tclIDTAC gls - | Some items -> prepare_goal items gls in - let method_tac gls = - match cut.cut_using with - None -> - Proofview.V82.of_tactic automation_tac gls - | Some tac -> - Proofview.V82.of_tactic (Tacinterp.tactic_of_value (Tacinterp.default_ist ()) tac) gls in - let just_tac gls = - justification (tclTHEN items_tac method_tac) gls in - let (c_id,_) = match cut.cut_stat.st_label with - Anonymous -> - pf_get_new_id (Id.of_string "_eq") gls0,false - | Name id -> id,true in - let thus_tac new_eq gls= - if _thus then - thus_tac (mkVar c_id) new_eq [] gls - else tclIDTAC gls in - match rew_side with - Lhs -> - let new_eq = mkApp(Lazy.force _eq,[|typ;cut.cut_stat.st_it;rhs|]) in - tclTHENS (Proofview.V82.of_tactic (assert_postpone c_id new_eq)) - [tclTHEN tcl_erase_info - (tclTHENS (Proofview.V82.of_tactic (transitivity lhs)) - [just_tac;Proofview.V82.of_tactic (exact_check (mkVar last_id))]); - thus_tac new_eq] gls0 - | Rhs -> - let new_eq = mkApp(Lazy.force _eq,[|typ;lhs;cut.cut_stat.st_it|]) in - tclTHENS (Proofview.V82.of_tactic (assert_postpone c_id new_eq)) - [tclTHEN tcl_erase_info - (tclTHENS (Proofview.V82.of_tactic (transitivity rhs)) - [Proofview.V82.of_tactic (exact_check (mkVar last_id));just_tac]); - thus_tac new_eq] gls0 - - -(* tactics for claim/focus *) - -let instr_claim _thus st gls0 = - let info = get_its_info gls0 in - let (id,_) = match st.st_label with - Anonymous -> pf_get_new_id (Id.of_string "_claim") gls0,false - | Name id -> id,true in - let thus_tac gls= - if _thus then - thus_tac (mkVar id) st.st_it [] gls - else tclIDTAC gls in - let ninfo1 = {pm_stack= - (if _thus then Focus_claim else Claim)::info.pm_stack} in - tclTHENS (Proofview.V82.of_tactic (assert_postpone id st.st_it)) - [thus_tac; - tcl_change_info ninfo1] gls0 - -(* tactics for assume *) - -let push_intro_tac coerce nam gls = - let (hid,_) = - match nam with - Anonymous -> pf_get_new_id (Id.of_string "_hyp") gls,false - | Name id -> id,true in - tclTHENLIST - [Proofview.V82.of_tactic (intro_mustbe_force hid); - coerce hid] - gls - -let assume_tac hyps gls = - List.fold_right - (fun (Hvar st | Hprop st) -> - tclTHEN - (push_intro_tac - (fun id -> - Proofview.V82.of_tactic (convert_hyp (LocalAssum (id,st.st_it)))) st.st_label)) - hyps tclIDTAC gls - -let assume_hyps_or_theses hyps gls = - List.fold_right - (function - (Hvar {st_label=nam;st_it=c} | Hprop {st_label=nam;st_it=This c}) -> - tclTHEN - (push_intro_tac - (fun id -> - Proofview.V82.of_tactic (convert_hyp (LocalAssum (id,c)))) nam) - | Hprop {st_label=nam;st_it=Thesis (tk)} -> - tclTHEN - (push_intro_tac - (fun id -> tclIDTAC) nam)) - hyps tclIDTAC gls - -let assume_st hyps gls = - List.fold_right - (fun st -> - tclTHEN - (push_intro_tac - (fun id -> Proofview.V82.of_tactic (convert_hyp (LocalAssum (id,st.st_it)))) st.st_label)) - hyps tclIDTAC gls - -let assume_st_letin hyps gls = - List.fold_right - (fun st -> - tclTHEN - (push_intro_tac - (fun id -> - Proofview.V82.of_tactic (convert_hyp (LocalDef (id, fst st.st_it, snd st.st_it)))) st.st_label)) - hyps tclIDTAC gls - -(* suffices *) - -let rec metas_from n hyps = - match hyps with - _ :: q -> n :: metas_from (succ n) q - | [] -> [] - -let rec build_product args body = - match args with - (Hprop st| Hvar st )::rest -> - let pprod= lift 1 (build_product rest body) in - let lbody = - match st.st_label with - Anonymous -> pprod - | Name id -> subst_term (mkVar id) pprod in - mkProd (st.st_label, st.st_it, lbody) - | [] -> body - -let rec build_applist prod = function - [] -> [],prod - | n::q -> - let (_,typ,_) = destProd prod in - let ctx,head = build_applist (prod_applist prod [mkMeta n]) q in - (n,typ)::ctx,head - -let instr_suffices _then cut gls0 = - let info = get_its_info gls0 in - let c_id = pf_get_new_id (Id.of_string "_cofact") gls0 in - let ctx,hd = cut.cut_stat in - let c_stat = build_product ctx (mk_stat_or_thesis info gls0 hd) in - let metas = metas_from 1 ctx in - let c_ctx,c_head = build_applist c_stat metas in - let c_term = applist (mkVar c_id,List.map mkMeta metas) in - let thus_tac gls= - thus_tac c_term c_head c_ctx gls in - tclTHENS (Proofview.V82.of_tactic (assert_postpone c_id c_stat)) - [tclTHENLIST - [ assume_tac ctx; - tcl_erase_info; - just_tac _then cut info]; - thus_tac] gls0 - -(* tactics for consider/given *) - -let conjunction_arity id gls = - let typ = pf_get_hyp_typ gls id in - let hd,params = decompose_app (special_whd gls typ) in - let env =pf_env gls in - match kind_of_term hd with - Ind (ind,u as indu) when is_good_inductive env ind -> - let mib,oib= - Inductive.lookup_mind_specif env ind in - let gentypes= - Inductive.arities_of_constructors indu (mib,oib) in - let _ = if not (Int.equal (Array.length gentypes) 1) then raise Not_found in - let apptype = prod_applist gentypes.(0) params in - let rc,_ = Reduction.dest_prod env apptype in - List.length rc - | _ -> raise Not_found - -let rec intron_then n ids ltac gls = - if n<=0 then - ltac ids gls - else - let id = pf_get_new_id (Id.of_string "_tmp") gls in - tclTHEN - (Proofview.V82.of_tactic (intro_mustbe_force id)) - (intron_then (pred n) (id::ids) ltac) gls - - -let rec consider_match may_intro introduced available expected gls = - match available,expected with - [],[] -> - tclIDTAC gls - | _,[] -> error "Last statements do not match a complete hypothesis." - (* should tell which ones *) - | [],hyps -> - if may_intro then - begin - let id = pf_get_new_id (Id.of_string "_tmp") gls in - tclIFTHENELSE - (Proofview.V82.of_tactic (intro_mustbe_force id)) - (consider_match true [] [id] hyps) - (fun _ -> - error "Not enough sub-hypotheses to match statements.") - gls - end - else - error "Not enough sub-hypotheses to match statements." - (* should tell which ones *) - | id::rest_ids,(Hvar st | Hprop st)::rest -> - tclIFTHENELSE (Proofview.V82.of_tactic (convert_hyp (LocalAssum (id,st.st_it)))) - begin - match st.st_label with - Anonymous -> - consider_match may_intro ((id,false)::introduced) rest_ids rest - | Name hid -> - tclTHENLIST - [Proofview.V82.of_tactic (rename_hyp [id,hid]); - consider_match may_intro ((hid,true)::introduced) rest_ids rest] - end - begin - (fun gls -> - let nhyps = - try conjunction_arity id gls with - Not_found -> error "Matching hypothesis not found." in - tclTHENLIST - [Proofview.V82.of_tactic (simplest_case (mkVar id)); - intron_then nhyps [] - (fun l -> consider_match may_intro introduced - (List.rev_append l rest_ids) expected)] gls) - end - gls - -let consider_tac c hyps gls = - match kind_of_term (strip_outer_cast c) with - Var id -> - consider_match false [] [id] hyps gls - | _ -> - let id = pf_get_new_id (Id.of_string "_tmp") gls in - tclTHEN - (Proofview.V82.of_tactic (pose_proof (Name id) c)) - (consider_match false [] [id] hyps) gls - - -let given_tac hyps gls = - consider_match true [] [] hyps gls - -(* tactics for take *) - -let rec take_tac wits gls = - match wits with - [] -> tclIDTAC gls - | wit::rest -> - let typ = pf_unsafe_type_of gls wit in - tclTHEN (thus_tac wit typ []) (take_tac rest) gls - - -(* tactics for define *) - -let rec build_function args body = - match args with - st::rest -> - let pfun= lift 1 (build_function rest body) in - let id = match st.st_label with - Anonymous -> assert false - | Name id -> id in - mkLambda (Name id, st.st_it, subst_term (mkVar id) pfun) - | [] -> body - -let define_tac id args body gls = - let t = build_function args body in - Proofview.V82.of_tactic (letin_tac None (Name id) t None Locusops.nowhere) gls - -(* tactics for reconsider *) - -let cast_tac id_or_thesis typ gls = - match id_or_thesis with - This id -> - let body = pf_get_hyp gls id |> get_value in - Proofview.V82.of_tactic (convert_hyp (of_tuple (id,body,typ))) gls - | Thesis (For _ ) -> - error "\"thesis for ...\" is not applicable here." - | Thesis Plain -> - Proofview.V82.of_tactic (convert_concl typ DEFAULTcast) gls - -(* per cases *) - -let is_rec_pos (main_ind,wft) = - match main_ind with - None -> false - | Some index -> - match fst (Rtree.dest_node wft) with - Mrec (_,i) when Int.equal i index -> true - | _ -> false - -let rec constr_trees (main_ind,wft) ind = - match Rtree.dest_node wft with - Norec,_ -> - let itree = - (snd (Global.lookup_inductive ind)).mind_recargs in - constr_trees (None,itree) ind - | _,constrs -> main_ind,constrs - -let ind_args rp ind = - let main_ind,constrs = constr_trees rp ind in - let args ctree = - Array.map (fun t -> main_ind,t) (snd (Rtree.dest_node ctree)) in - Array.map args constrs - -let init_tree ids ind rp nexti = - let indargs = ind_args rp ind in - let do_i i arp = (Array.map is_rec_pos arp),nexti i arp in - Split_patt (ids,ind,Array.mapi do_i indargs) - -let map_tree_rp rp id_fun mapi = function - Split_patt (ids,ind,branches) -> - let indargs = ind_args rp ind in - let do_i i (recargs,bri) = recargs,mapi i indargs.(i) bri in - Split_patt (id_fun ids,ind,Array.mapi do_i branches) - | _ -> failwith "map_tree_rp: not a splitting node" - -let map_tree id_fun mapi = function - Split_patt (ids,ind,branches) -> - let do_i i (recargs,bri) = recargs,mapi i bri in - Split_patt (id_fun ids,ind,Array.mapi do_i branches) - | _ -> failwith "map_tree: not a splitting node" - - -let start_tree env ind rp = - init_tree Id.Set.empty ind rp (fun _ _ -> None) - -let build_per_info etype casee gls = - let concl=pf_concl gls in - let env=pf_env gls in - let ctyp=pf_unsafe_type_of gls casee in - let is_dep = dependent casee concl in - let hd,args = decompose_app (special_whd gls ctyp) in - let (ind,u) = - try - destInd hd - with DestKO -> - error "Case analysis must be done on an inductive object." in - let mind,oind = Global.lookup_inductive ind in - let nparams,index = - match etype with - ET_Induction -> mind.mind_nparams_rec,Some (snd ind) - | _ -> mind.mind_nparams,None in - let params,real_args = List.chop nparams args in - let abstract_obj c body = - let typ=pf_unsafe_type_of gls c in - lambda_create env (typ,subst_term c body) in - let pred= List.fold_right abstract_obj - real_args (lambda_create env (ctyp,subst_term casee concl)) in - is_dep, - {per_casee=casee; - per_ctype=ctyp; - per_ind=ind; - per_pred=pred; - per_args=real_args; - per_params=params; - per_nparams=nparams; - per_wf=index,oind.mind_recargs} - -let per_tac etype casee gls= - let env=pf_env gls in - let info = get_its_info gls in - match casee with - Real c -> - let is_dep,per_info = build_per_info etype c gls in - let ek = - if is_dep then - EK_dep (start_tree env per_info.per_ind per_info.per_wf) - else EK_unknown in - tcl_change_info - {pm_stack= - Per(etype,per_info,ek,[])::info.pm_stack} gls - | Virtual cut -> - assert (cut.cut_stat.st_label == Anonymous); - let id = pf_get_new_id (Id.of_string "anonymous_matched") gls in - let c = mkVar id in - let modified_cut = - {cut with cut_stat={cut.cut_stat with st_label=Name id}} in - tclTHEN - (instr_cut (fun _ _ c -> c) false false modified_cut) - (fun gls0 -> - let is_dep,per_info = build_per_info etype c gls0 in - assert (not is_dep); - tcl_change_info - {pm_stack= - Per(etype,per_info,EK_unknown,[])::info.pm_stack} gls0) - gls - -(* suppose *) - -let register_nodep_subcase id= function - Per(et,pi,ek,clauses)::s -> - begin - match ek with - EK_unknown -> clauses,Per(et,pi,EK_nodep,id::clauses)::s - | EK_nodep -> clauses,Per(et,pi,EK_nodep,id::clauses)::s - | EK_dep _ -> error "Do not mix \"suppose\" with \"suppose it is\"." - end - | _ -> anomaly (Pp.str "wrong stack state") - -let suppose_tac hyps gls0 = - let info = get_its_info gls0 in - let thesis = pf_concl gls0 in - let id = pf_get_new_id (Id.of_string "subcase_") gls0 in - let clause = build_product hyps thesis in - let ninfo1 = {pm_stack=Suppose_case::info.pm_stack} in - let old_clauses,stack = register_nodep_subcase id info.pm_stack in - let ninfo2 = {pm_stack=stack} in - tclTHENS (Proofview.V82.of_tactic (assert_postpone id clause)) - [tclTHENLIST [tcl_change_info ninfo1; - assume_tac hyps; - clear old_clauses]; - tcl_change_info ninfo2] gls0 - -(* suppose it is ... *) - -(* pattern matching compiling *) - -let rec skip_args rest ids n = - if n <= 0 then - Close_patt rest - else - Skip_patt (ids,skip_args rest ids (pred n)) - -let rec tree_of_pats ((id,_) as cpl) pats = - match pats with - [] -> End_patt cpl - | args::stack -> - match args with - [] -> Close_patt (tree_of_pats cpl stack) - | (patt,rp) :: rest_args -> - match patt with - PatVar (_,v) -> - Skip_patt (Id.Set.singleton id, - tree_of_pats cpl (rest_args::stack)) - | PatCstr (_,(ind,cnum),args,nam) -> - let nexti i ati = - if Int.equal i (pred cnum) then - let nargs = - List.map_i (fun j a -> (a,ati.(j))) 0 args in - Some (Id.Set.singleton id, - tree_of_pats cpl (nargs::rest_args::stack)) - else None - in init_tree Id.Set.empty ind rp nexti - -let rec add_branch ((id,_) as cpl) pats tree= - match pats with - [] -> - begin - match tree with - End_patt cpl0 -> End_patt cpl0 - (* this ensures precedence for overlapping patterns *) - | _ -> anomaly (Pp.str "tree is expected to end here") - end - | args::stack -> - match args with - [] -> - begin - match tree with - Close_patt t -> - Close_patt (add_branch cpl stack t) - | _ -> anomaly (Pp.str "we should pop here") - end - | (patt,rp) :: rest_args -> - match patt with - PatVar (_,v) -> - begin - match tree with - Skip_patt (ids,t) -> - Skip_patt (Id.Set.add id ids, - add_branch cpl (rest_args::stack) t) - | Split_patt (_,_,_) -> - map_tree (Id.Set.add id) - (fun i bri -> - append_branch cpl 1 (rest_args::stack) bri) - tree - | _ -> anomaly (Pp.str "No pop/stop expected here") - end - | PatCstr (_,(ind,cnum),args,nam) -> - match tree with - Skip_patt (ids,t) -> - let nexti i ati = - if Int.equal i (pred cnum) then - let nargs = - List.map_i (fun j a -> (a,ati.(j))) 0 args in - Some (Id.Set.add id ids, - add_branch cpl (nargs::rest_args::stack) - (skip_args t ids (Array.length ati))) - else - Some (ids, - skip_args t ids (Array.length ati)) - in init_tree ids ind rp nexti - | Split_patt (_,ind0,_) -> - if (not (eq_ind ind ind0)) then error - (* this can happen with coercions *) - "Case pattern belongs to wrong inductive type."; - let mapi i ati bri = - if Int.equal i (pred cnum) then - let nargs = - List.map_i (fun j a -> (a,ati.(j))) 0 args in - append_branch cpl 0 - (nargs::rest_args::stack) bri - else bri in - map_tree_rp rp (fun ids -> ids) mapi tree - | _ -> anomaly (Pp.str "No pop/stop expected here") -and append_branch ((id,_) as cpl) depth pats = function - Some (ids,tree) -> - Some (Id.Set.add id ids,append_tree cpl depth pats tree) - | None -> - Some (Id.Set.singleton id,tree_of_pats cpl pats) -and append_tree ((id,_) as cpl) depth pats tree = - if depth<=0 then add_branch cpl pats tree - else match tree with - Close_patt t -> - Close_patt (append_tree cpl (pred depth) pats t) - | Skip_patt (ids,t) -> - Skip_patt (Id.Set.add id ids,append_tree cpl depth pats t) - | End_patt _ -> anomaly (Pp.str "Premature end of branch") - | Split_patt (_,_,_) -> - map_tree (Id.Set.add id) - (fun i bri -> append_branch cpl (succ depth) pats bri) tree - -(* suppose it is *) - -let rec st_assoc id = function - [] -> raise Not_found - | st::_ when Name.equal st.st_label id -> st.st_it - | _ :: rest -> st_assoc id rest - -let thesis_for obj typ per_info env= - let rc,hd1=decompose_prod typ in - let cind,all_args=decompose_app typ in - let ind,u = destInd cind in - let _ = if not (eq_ind ind per_info.per_ind) then - errorlabstrm "thesis_for" - ((Printer.pr_constr_env env Evd.empty obj) ++ spc () ++ - str"cannot give an induction hypothesis (wrong inductive type).") in - let params,args = List.chop per_info.per_nparams all_args in - let _ = if not (List.for_all2 eq_constr params per_info.per_params) then - errorlabstrm "thesis_for" - ((Printer.pr_constr_env env Evd.empty obj) ++ spc () ++ - str "cannot give an induction hypothesis (wrong parameters).") in - let hd2 = (applist ((lift (List.length rc) per_info.per_pred),args@[obj])) in - compose_prod rc (Reductionops.whd_beta Evd.empty hd2) - -let rec build_product_dep pat_info per_info args body gls = - match args with - (Hprop {st_label=nam;st_it=This c} - | Hvar {st_label=nam;st_it=c})::rest -> - let pprod= - lift 1 (build_product_dep pat_info per_info rest body gls) in - let lbody = - match nam with - Anonymous -> body - | Name id -> subst_var id pprod in - mkProd (nam,c,lbody) - | Hprop ({st_it=Thesis tk} as st)::rest -> - let pprod= - lift 1 (build_product_dep pat_info per_info rest body gls) in - let lbody = - match st.st_label with - Anonymous -> body - | Name id -> subst_var id pprod in - let ptyp = - match tk with - For id -> - let obj = mkVar id in - let typ = - try st_assoc (Name id) pat_info.pat_vars - with Not_found -> - snd (st_assoc (Name id) pat_info.pat_aliases) in - thesis_for obj typ per_info (pf_env gls) - | Plain -> pf_concl gls in - mkProd (st.st_label,ptyp,lbody) - | [] -> body - -let build_dep_clause params pat_info per_info hyps gls = - let concl= - thesis_for pat_info.pat_constr pat_info.pat_typ per_info (pf_env gls) in - let open_clause = - build_product_dep pat_info per_info hyps concl gls in - let prod_one st body = - match st.st_label with - Anonymous -> mkProd(Anonymous,st.st_it,lift 1 body) - | Name id -> mkNamedProd id st.st_it (lift 1 body) in - let let_one_in st body = - match st.st_label with - Anonymous -> mkLetIn(Anonymous,fst st.st_it,snd st.st_it,lift 1 body) - | Name id -> - mkNamedLetIn id (fst st.st_it) (snd st.st_it) (lift 1 body) in - let aliased_clause = - List.fold_right let_one_in pat_info.pat_aliases open_clause in - List.fold_right prod_one (params@pat_info.pat_vars) aliased_clause - -let rec register_dep_subcase id env per_info pat = function - EK_nodep -> error "Only \"suppose it is\" can be used here." - | EK_unknown -> - register_dep_subcase id env per_info pat - (EK_dep (start_tree env per_info.per_ind per_info.per_wf)) - | EK_dep tree -> EK_dep (add_branch id [[pat,per_info.per_wf]] tree) - -let case_tac params pat_info hyps gls0 = - let info = get_its_info gls0 in - let id = pf_get_new_id (Id.of_string "subcase_") gls0 in - let et,per_info,ek,old_clauses,rest = - match info.pm_stack with - Per (et,pi,ek,old_clauses)::rest -> (et,pi,ek,old_clauses,rest) - | _ -> anomaly (Pp.str "wrong place for cases") in - let clause = build_dep_clause params pat_info per_info hyps gls0 in - let ninfo1 = {pm_stack=Suppose_case::info.pm_stack} in - let nek = - register_dep_subcase (id,(List.length params,List.length hyps)) - (pf_env gls0) per_info pat_info.pat_pat ek in - let ninfo2 = {pm_stack=Per(et,per_info,nek,id::old_clauses)::rest} in - tclTHENS (Proofview.V82.of_tactic (assert_postpone id clause)) - [tclTHENLIST - [tcl_change_info ninfo1; - assume_st (params@pat_info.pat_vars); - assume_st_letin pat_info.pat_aliases; - assume_hyps_or_theses hyps; - clear old_clauses]; - tcl_change_info ninfo2] gls0 - -(* end cases *) - -type ('a, 'b) instance_stack = - ('b * (('a option * constr list) list)) list - -let initial_instance_stack ids : (_, _) instance_stack = - List.map (fun id -> id,[None,[]]) ids - -let push_one_arg arg = function - [] -> anomaly (Pp.str "impossible") - | (head,args) :: ctx -> - ((head,(arg::args)) :: ctx) - -let push_arg arg stacks = - List.map (fun (id,stack) -> (id,push_one_arg arg stack)) stacks - - -let push_one_head c ids (id,stack) = - let head = if Id.Set.mem id ids then Some c else None in - id,(head,[]) :: stack - -let push_head c ids stacks = - List.map (push_one_head c ids) stacks - -let pop_one (id,stack) = - let nstack= - match stack with - [] -> anomaly (Pp.str "impossible") - | [c] as l -> l - | (Some head,args)::(head0,args0)::ctx -> - let arg = applist (head,(List.rev args)) in - (head0,(arg::args0))::ctx - | (None,args)::(head0,args0)::ctx -> - (head0,(args@args0))::ctx - in id,nstack - -let pop_stacks stacks = - List.map pop_one stacks - -let hrec_for fix_id per_info gls obj_id = - let obj=mkVar obj_id in - let typ=pf_get_hyp_typ gls obj_id in - let rc,hd1=decompose_prod typ in - let cind,all_args=decompose_app typ in - let ind,u = destInd cind in assert (eq_ind ind per_info.per_ind); - let params,args= List.chop per_info.per_nparams all_args in - assert begin - try List.for_all2 eq_constr params per_info.per_params with - Invalid_argument _ -> false end; - let hd2 = applist (mkVar fix_id,args@[obj]) in - compose_lam rc (Reductionops.whd_beta gls.sigma hd2) - -let warn_missing_case = - CWarnings.create ~name:"declmode-missing-case" ~category:"declmode" - (fun () -> strbrk "missing case") - -let rec execute_cases fix_name per_info tacnext args objs nhrec tree gls = - match tree, objs with - Close_patt t,_ -> - let args0 = pop_stacks args in - execute_cases fix_name per_info tacnext args0 objs nhrec t gls - | Skip_patt (_,t),skipped::next_objs -> - let args0 = push_arg skipped args in - execute_cases fix_name per_info tacnext args0 next_objs nhrec t gls - | End_patt (id,(nparams,nhyps)),[] -> - begin - match Id.List.assoc id args with - [None,br_args] -> - let all_metas = - List.init (nparams + nhyps) (fun n -> mkMeta (succ n)) in - let param_metas,hyp_metas = List.chop nparams all_metas in - tclTHEN - (tclDO nhrec (Proofview.V82.of_tactic introf)) - (tacnext - (applist (mkVar id, - List.append param_metas - (List.rev_append br_args hyp_metas)))) gls - | _ -> anomaly (Pp.str "wrong stack size") - end - | Split_patt (ids,ind,br), casee::next_objs -> - let (mind,oind) as spec = Global.lookup_inductive ind in - let nparams = mind.mind_nparams in - let concl=pf_concl gls in - let env=pf_env gls in - let ctyp=pf_unsafe_type_of gls casee in - let hd,all_args = decompose_app (special_whd gls ctyp) in - let ind', u = destInd hd in - let _ = assert (eq_ind ind' ind) in (* just in case *) - let params,real_args = List.chop nparams all_args in - let abstract_obj c body = - let typ=pf_unsafe_type_of gls c in - lambda_create env (typ,subst_term c body) in - let elim_pred = List.fold_right abstract_obj - real_args (lambda_create env (ctyp,subst_term casee concl)) in - let case_info = Inductiveops.make_case_info env ind RegularStyle in - let gen_arities = Inductive.arities_of_constructors (ind,u) spec in - let f_ids typ = - let sign = - (prod_assum (prod_applist typ params)) in - find_intro_names sign gls in - let constr_args_ids = Array.map f_ids gen_arities in - let case_term = - mkCase(case_info,elim_pred,casee, - Array.mapi (fun i _ -> mkMeta (succ i)) constr_args_ids) in - let branch_tac i (recargs,bro) gls0 = - let args_ids = constr_args_ids.(i) in - let rec aux n = function - [] -> - assert (Int.equal n (Array.length recargs)); - next_objs,[],nhrec - | id :: q -> - let objs,recs,nrec = aux (succ n) q in - if recargs.(n) - then (mkVar id::objs),(id::recs),succ nrec - else (mkVar id::objs),recs,nrec in - let objs,recs,nhrec = aux 0 args_ids in - tclTHENLIST - [tclMAP (fun id -> Proofview.V82.of_tactic (intro_mustbe_force id)) args_ids; - begin - fun gls1 -> - let hrecs = - List.map - (fun id -> - hrec_for (out_name fix_name) per_info gls1 id) - recs in - Proofview.V82.of_tactic (generalize hrecs) gls1 - end; - match bro with - None -> - warn_missing_case (); - tacnext (mkMeta 1) - | Some (sub_ids,tree) -> - let br_args = - List.filter - (fun (id,_) -> Id.Set.mem id sub_ids) args in - let construct = - applist (mkConstruct(ind,succ i),params) in - let p_args = - push_head construct ids br_args in - execute_cases fix_name per_info tacnext - p_args objs nhrec tree] gls0 in - tclTHENSV - (refine case_term) - (Array.mapi branch_tac br) gls - | Split_patt (_, _, _) , [] -> - anomaly ~label:"execute_cases " (Pp.str "Nothing to split") - | Skip_patt _ , [] -> - anomaly ~label:"execute_cases " (Pp.str "Nothing to skip") - | End_patt (_,_) , _ :: _ -> - anomaly ~label:"execute_cases " (Pp.str "End of branch with garbage left") - -let understand_my_constr env sigma c concl = - let env = env in - let rawc = Detyping.detype false [] env Evd.empty c in - let rec frob = function - | GEvar _ -> GHole (Loc.ghost,Evar_kinds.QuestionMark Evar_kinds.Expand,Misctypes.IntroAnonymous,None) - | rc -> map_glob_constr frob rc - in - Pretyping.understand_tcc env sigma ~expected_type:(Pretyping.OfType concl) (frob rawc) - -let my_refine c gls = - let oc = { run = begin fun sigma -> - let sigma = Sigma.to_evar_map sigma in - let (sigma, c) = understand_my_constr (pf_env gls) sigma c (pf_concl gls) in - Sigma.Unsafe.of_pair (c, sigma) - end } in - Proofview.V82.of_tactic (Tactics.New.refine oc) gls - -(* end focus/claim *) - -let end_tac et2 gls = - let info = get_its_info gls in - let et1,pi,ek,clauses = - match info.pm_stack with - Suppose_case::_ -> - anomaly (Pp.str "This case should already be trapped") - | Claim::_ -> - error "\"end claim\" expected." - | Focus_claim::_ -> - error "\"end focus\" expected." - | Per(et',pi,ek,clauses)::_ -> (et',pi,ek,clauses) - | [] -> - anomaly (Pp.str "This case should already be trapped") in - let et = match et1, et2 with - | ET_Case_analysis, ET_Case_analysis -> et1 - | ET_Induction, ET_Induction -> et1 - | ET_Case_analysis, _ -> error "\"end cases\" expected." - | ET_Induction, _ -> error "\"end induction\" expected." - in - tclTHEN - tcl_erase_info - begin - match et,ek with - _,EK_unknown -> - tclSOLVE [Proofview.V82.of_tactic (simplest_elim pi.per_casee)] - | ET_Case_analysis,EK_nodep -> - tclTHEN - (Proofview.V82.of_tactic (simplest_case pi.per_casee)) - (default_justification (List.map mkVar clauses)) - | ET_Induction,EK_nodep -> - tclTHENLIST - [Proofview.V82.of_tactic (generalize (pi.per_args@[pi.per_casee])); - Proofview.V82.of_tactic (simple_induct (AnonHyp (succ (List.length pi.per_args)))); - default_justification (List.map mkVar clauses)] - | ET_Case_analysis,EK_dep tree -> - execute_cases Anonymous pi - (fun c -> tclTHENLIST - [my_refine c; - clear clauses; - justification (Proofview.V82.of_tactic assumption)]) - (initial_instance_stack clauses) [pi.per_casee] 0 tree - | ET_Induction,EK_dep tree -> - let nargs = (List.length pi.per_args) in - tclTHEN (Proofview.V82.of_tactic (generalize (pi.per_args@[pi.per_casee]))) - begin - fun gls0 -> - let fix_id = - pf_get_new_id (Id.of_string "_fix") gls0 in - let c_id = - pf_get_new_id (Id.of_string "_main_arg") gls0 in - tclTHENLIST - [Proofview.V82.of_tactic (fix (Some fix_id) (succ nargs)); - tclDO nargs (Proofview.V82.of_tactic introf); - Proofview.V82.of_tactic (intro_mustbe_force c_id); - execute_cases (Name fix_id) pi - (fun c -> - tclTHENLIST - [clear [fix_id]; - my_refine c; - clear clauses; - justification (Proofview.V82.of_tactic assumption)]) - (initial_instance_stack clauses) - [mkVar c_id] 0 tree] gls0 - end - end gls - -(* escape *) - -let escape_tac gls = - (* spiwack: sets an empty info stack to avoid interferences. - We could erase the info altogether, but that doesn't play - well with the Decl_mode.focus (used in post_processing). *) - let info={pm_stack=[]} in - tcl_change_info info gls - -(* General instruction engine *) - -let rec do_proof_instr_gen _thus _then instr = - match instr with - Pthus i -> - assert (not _thus); - do_proof_instr_gen true _then i - | Pthen i -> - assert (not _then); - do_proof_instr_gen _thus true i - | Phence i -> - assert (not (_then || _thus)); - do_proof_instr_gen true true i - | Pcut c -> - instr_cut mk_stat_or_thesis _thus _then c - | Psuffices c -> - instr_suffices _then c - | Prew (s,c) -> - assert (not _then); - instr_rew _thus s c - | Pconsider (c,hyps) -> consider_tac c hyps - | Pgiven hyps -> given_tac hyps - | Passume hyps -> assume_tac hyps - | Plet hyps -> assume_tac hyps - | Pclaim st -> instr_claim false st - | Pfocus st -> instr_claim true st - | Ptake witl -> take_tac witl - | Pdefine (id,args,body) -> define_tac id args body - | Pcast (id,typ) -> cast_tac id typ - | Pper (et,cs) -> per_tac et cs - | Psuppose hyps -> suppose_tac hyps - | Pcase (params,pat_info,hyps) -> case_tac params pat_info hyps - | Pend (B_elim et) -> end_tac et - | Pend _ -> anomaly (Pp.str "Not applicable") - | Pescape -> escape_tac - -let eval_instr {instr=instr} = - do_proof_instr_gen false false instr - -let rec preprocess pts instr = - match instr with - Phence i |Pthus i | Pthen i -> preprocess pts i - | Psuffices _ | Pcut _ | Passume _ | Plet _ | Pclaim _ | Pfocus _ - | Pconsider (_,_) | Pcast (_,_) | Pgiven _ | Ptake _ - | Pdefine (_,_,_) | Pper _ | Prew _ -> - check_not_per pts; - true - | Pescape -> - check_not_per pts; - true - | Pcase _ | Psuppose _ | Pend (B_elim _) -> - close_previous_case pts ; - true - | Pend bt -> - close_block bt pts ; - false - -let rec postprocess pts instr = - match instr with - Phence i | Pthus i | Pthen i -> postprocess pts i - | Pcut _ | Psuffices _ | Passume _ | Plet _ | Pconsider (_,_) | Pcast (_,_) - | Pgiven _ | Ptake _ | Pdefine (_,_,_) | Prew (_,_) -> () - | Pclaim _ | Pfocus _ | Psuppose _ | Pcase _ | Pper _ -> - Decl_mode.focus pts - | Pescape -> - Decl_mode.focus pts; - Proof_global.set_proof_mode "Classic" - | Pend (B_elim ET_Induction) -> - begin - let pfterm = List.hd (Proof.partial_proof pts) in - let { it = gls ; sigma = sigma } = Proof.V82.subgoals pts in - let env = try - Goal.V82.env sigma (List.hd gls) - with Failure "hd" -> - Global.env () - in - try - Inductiveops.control_only_guard env pfterm; - goto_current_focus_or_top () - with - Type_errors.TypeError(env, - Type_errors.IllFormedRecBody(_,_,_,_,_)) -> - anomaly (Pp.str "\"end induction\" generated an ill-formed fixpoint") - end - | Pend (B_elim ET_Case_analysis) -> goto_current_focus () - | Pend B_proof -> Proof_global.set_proof_mode "Classic" - | Pend _ -> () - -let do_instr raw_instr pts = - let has_tactic = preprocess pts raw_instr.instr in - (* spiwack: hack! [preprocess] assumes that the [pts] is indeed the - current proof (and, actually so does [do_instr] later one, so - it's ok to do the same here. Ideally the proof should be properly - threaded through the commands here, but since the are interleaved - with actions on the proof mode, which is attached to the global - proof environment, it is not possible without heavy lifting. *) - let pts = Proof_global.give_me_the_proof () in - let pts = - if has_tactic then - let { it=gls ; sigma=sigma; } = Proof.V82.subgoals pts in - let gl = { it=List.hd gls ; sigma=sigma; } in - let env= pf_env gl in - let ist = {ltacvars = Id.Set.empty; genv = env} in - let glob_instr = intern_proof_instr ist raw_instr in - let instr = - interp_proof_instr (get_its_info gl) env sigma glob_instr in - let (pts',_) = Proof.run_tactic (Global.env()) - (Proofview.V82.tactic (tclTHEN (eval_instr instr) clean_tmp)) pts in - pts' - else pts - in - Proof_global.simple_with_current_proof (fun _ _ -> pts); - postprocess pts raw_instr.instr - -let proof_instr raw_instr = - let p = Proof_global.give_me_the_proof () in - do_instr raw_instr p - -(* - -(* STUFF FOR ITERATED RELATIONS *) -let decompose_bin_app t= - let hd,args = destApp - -let identify_transitivity_lemma c = - let varx,tx,c1 = destProd c in - let vary,ty,c2 = destProd (pop c1) in - let varz,tz,c3 = destProd (pop c2) in - let _,p1,c4 = destProd (pop c3) in - let _,lp2,lp3 = destProd (pop c4) in - let p2=pop lp2 in - let p3=pop lp3 in -*) - |