diff options
Diffstat (limited to 'tactics')
-rw-r--r-- | tactics/class_tactics.ml4 | 256 |
1 files changed, 159 insertions, 97 deletions
diff --git a/tactics/class_tactics.ml4 b/tactics/class_tactics.ml4 index f00515ab6..9b0bb188b 100644 --- a/tactics/class_tactics.ml4 +++ b/tactics/class_tactics.ml4 @@ -550,8 +550,8 @@ let build_signature isevars env m (cstrs : 'a option list) (finalcstr : 'a Lazy. new_evar isevars env relty | Some x -> f x in - let rec aux t l = - let t = Reductionops.whd_betadeltaiota env (Evd.evars_of !isevars) t in + let rec aux ty l = + let t = Reductionops.whd_betadeltaiota env (Evd.evars_of !isevars) ty in match kind_of_term t, l with | Prod (na, ty, b), obj :: cstrs -> let (b, arg, evars) = aux b cstrs in @@ -563,7 +563,7 @@ let build_signature isevars env m (cstrs : 'a option list) (finalcstr : 'a Lazy. | _, [] -> (match finalcstr with None -> - let t = Reductionops.nf_betaiota t in + let t = Reductionops.nf_betaiota ty in let rel = mk_relty t None in t, rel, [t, rel] | Some codom -> let (t, rel) = Lazy.force codom in @@ -680,7 +680,7 @@ let rewrite2_unif_flags = { (* let unification_rewrite c1 c2 cl but gl = *) (* let (env',c1) = *) (* try *) -(* (\* ~flags:(false,true) to allow to mark occurences that must not be *) +(* (\* ~flags:(false,true) to allow to mark occurrences that must not be *) (* rewritten simply by replacing them with let-defined definitions *) (* in the context *\) *) (* w_unify_to_subterm ~flags:rewrite_unif_flags (pf_env gl) (c1,but) cl.evd *) @@ -989,10 +989,10 @@ open Genarg open Extraargs TACTIC EXTEND class_rewrite -| [ "clrewrite" orient(o) constr(c) "in" hyp(id) "at" occurences(occ) ] -> [ cl_rewrite_clause c o occ (Some (([],id), [])) ] -| [ "clrewrite" orient(o) constr(c) "at" occurences(occ) "in" hyp(id) ] -> [ cl_rewrite_clause c o occ (Some (([],id), [])) ] +| [ "clrewrite" orient(o) constr(c) "in" hyp(id) "at" occurrences(occ) ] -> [ cl_rewrite_clause c o occ (Some (([],id), [])) ] +| [ "clrewrite" orient(o) constr(c) "at" occurrences(occ) "in" hyp(id) ] -> [ cl_rewrite_clause c o occ (Some (([],id), [])) ] | [ "clrewrite" orient(o) constr(c) "in" hyp(id) ] -> [ cl_rewrite_clause c o [] (Some (([],id), [])) ] -| [ "clrewrite" orient(o) constr(c) "at" occurences(occ) ] -> [ cl_rewrite_clause c o occ None ] +| [ "clrewrite" orient(o) constr(c) "at" occurrences(occ) ] -> [ cl_rewrite_clause c o occ None ] | [ "clrewrite" orient(o) constr(c) ] -> [ cl_rewrite_clause c o [] None ] END @@ -1084,25 +1084,31 @@ TACTIC EXTEND setoid_rewrite -> [ cl_rewrite_clause c o [] None ] | [ "setoid_rewrite" orient(o) constr(c) "in" hyp(id) ] -> [ cl_rewrite_clause c o [] (Some (([],id), []))] - | [ "setoid_rewrite" orient(o) constr(c) "at" occurences(occ) ] -> + | [ "setoid_rewrite" orient(o) constr(c) "at" occurrences(occ) ] -> [ cl_rewrite_clause c o occ None] - | [ "setoid_rewrite" orient(o) constr(c) "at" occurences(occ) "in" hyp(id)] -> + | [ "setoid_rewrite" orient(o) constr(c) "at" occurrences(occ) "in" hyp(id)] -> [ cl_rewrite_clause c o occ (Some (([],id), []))] - | [ "setoid_rewrite" orient(o) constr(c) "in" hyp(id) "at" occurences(occ)] -> + | [ "setoid_rewrite" orient(o) constr(c) "in" hyp(id) "at" occurrences(occ)] -> [ cl_rewrite_clause c o occ (Some (([],id), []))] END (* let solve_obligation lemma = *) (* tclTHEN (Tacinterp.interp (Tacexpr.TacAtom (dummy_loc, Tacexpr.TacAnyConstructor None))) *) (* (eapply_with_bindings (Constrintern.interp_constr Evd.empty (Global.env()) lemma, NoBindings)) *) - + let mkappc s l = CAppExpl (dummy_loc,(None,(Libnames.Ident (dummy_loc,id_of_string s))),l) -let declare_instance a aeq n s = ((dummy_loc,Name n), Explicit, - CAppExpl (dummy_loc, (None, Qualid (dummy_loc, qualid_of_string s)), - [a;aeq])) +let declare_an_instance n s args = + ((dummy_loc,Name n), Explicit, + CAppExpl (dummy_loc, (None, Qualid (dummy_loc, qualid_of_string s)), + args)) -let anew_instance instance fields = new_instance [] instance fields None +let declare_instance a aeq n s = declare_an_instance n s [a;aeq] + +let anew_instance binders instance fields = + new_instance binders instance fields + ~on_free_vars:Classes.fail_on_free_vars + None let require_library dirpath = let qualid = (dummy_loc, Libnames.qualid_of_dirpath (Libnames.dirpath_of_string dirpath)) in @@ -1111,75 +1117,85 @@ let require_library dirpath = let check_required_library d = let d' = List.map id_of_string d in let dir = make_dirpath (List.rev d') in - if not (Library.library_is_opened dir) || not (Library.library_is_loaded dir) then + if (* not (Library.library_is_opened dir) || *)not (Library.library_is_loaded dir) then error ("Library "^(list_last d)^" has to be required first") let init_setoid () = check_required_library ["Coq";"Setoids";"Setoid"] -let declare_instance_refl a aeq n lemma = +let declare_instance_refl binders a aeq n lemma = let instance = declare_instance a aeq (add_suffix n "_refl") "Coq.Classes.RelationClasses.Reflexive" - in anew_instance instance + in anew_instance binders instance [((dummy_loc,id_of_string "reflexivity"),[],lemma)] -let declare_instance_sym a aeq n lemma = +let declare_instance_sym binders a aeq n lemma = let instance = declare_instance a aeq (add_suffix n "_sym") "Coq.Classes.RelationClasses.Symmetric" - in anew_instance instance + in anew_instance binders instance [((dummy_loc,id_of_string "symmetry"),[],lemma)] -let declare_instance_trans a aeq n lemma = +let declare_instance_trans binders a aeq n lemma = let instance = declare_instance a aeq (add_suffix n "_trans") "Coq.Classes.RelationClasses.Transitive" - in anew_instance instance + in anew_instance binders instance [((dummy_loc,id_of_string "transitivity"),[],lemma)] let constr_tac = Tacinterp.interp (Tacexpr.TacAtom (dummy_loc, Tacexpr.TacAnyConstructor None)) -let declare_relation a aeq n refl symm trans = +let declare_relation ?(binders=[]) a aeq n refl symm trans = init_setoid (); match (refl,symm,trans) with (None, None, None) -> - let instance = declare_instance a aeq n "Coq.Classes.RelationClasses.DefaultRelation" - in ignore(anew_instance instance []) + let instance = declare_instance a aeq n "Coq.Classes.RelationClasses.DefaultRelation" + in ignore(anew_instance binders instance []) | (Some lemma1, None, None) -> - ignore (declare_instance_refl a aeq n lemma1) + ignore (declare_instance_refl binders a aeq n lemma1) | (None, Some lemma2, None) -> - ignore (declare_instance_sym a aeq n lemma2) + ignore (declare_instance_sym binders a aeq n lemma2) | (None, None, Some lemma3) -> - ignore (declare_instance_trans a aeq n lemma3) + ignore (declare_instance_trans binders a aeq n lemma3) | (Some lemma1, Some lemma2, None) -> - ignore (declare_instance_refl a aeq n lemma1); - ignore (declare_instance_sym a aeq n lemma2) + ignore (declare_instance_refl binders a aeq n lemma1); + ignore (declare_instance_sym binders a aeq n lemma2) | (Some lemma1, None, Some lemma3) -> - let lemma_refl = declare_instance_refl a aeq n lemma1 in - let lemma_trans = declare_instance_trans a aeq n lemma3 in + let lemma_refl = declare_instance_refl binders a aeq n lemma1 in + let lemma_trans = declare_instance_trans binders a aeq n lemma3 in let instance = declare_instance a aeq n "Coq.Classes.RelationClasses.PreOrder" in ignore( - anew_instance instance + anew_instance binders instance [((dummy_loc,id_of_string "preorder_refl"), [], mkIdentC lemma_refl); ((dummy_loc,id_of_string "preorder_trans"),[], mkIdentC lemma_trans)]) | (None, Some lemma2, Some lemma3) -> - let lemma_sym = declare_instance_sym a aeq n lemma2 in - let lemma_trans = declare_instance_trans a aeq n lemma3 in + let lemma_sym = declare_instance_sym binders a aeq n lemma2 in + let lemma_trans = declare_instance_trans binders a aeq n lemma3 in let instance = declare_instance a aeq n "Coq.Classes.RelationClasses.PER" in ignore( - anew_instance instance + anew_instance binders instance [((dummy_loc,id_of_string "per_sym"), [], mkIdentC lemma_sym); ((dummy_loc,id_of_string "per_trans"),[], mkIdentC lemma_trans)]) | (Some lemma1, Some lemma2, Some lemma3) -> - let lemma_refl = declare_instance_refl a aeq n lemma1 in - let lemma_sym = declare_instance_sym a aeq n lemma2 in - let lemma_trans = declare_instance_trans a aeq n lemma3 in + let lemma_refl = declare_instance_refl binders a aeq n lemma1 in + let lemma_sym = declare_instance_sym binders a aeq n lemma2 in + let lemma_trans = declare_instance_trans binders a aeq n lemma3 in let instance = declare_instance a aeq n "Coq.Classes.RelationClasses.Equivalence" in ignore( - anew_instance instance - [((dummy_loc,id_of_string "equiv_refl"), [], mkIdentC lemma_refl); - ((dummy_loc,id_of_string "equiv_sym"), [], mkIdentC lemma_sym); - ((dummy_loc,id_of_string "equiv_trans"),[], mkIdentC lemma_trans)]) + anew_instance binders instance + [((dummy_loc,id_of_string "equiv_refl"), [], mkIdentC lemma_refl); + ((dummy_loc,id_of_string "equiv_sym"), [], mkIdentC lemma_sym); + ((dummy_loc,id_of_string "equiv_trans"),[], mkIdentC lemma_trans)]) + +type 'a binders_let_argtype = (local_binder list, 'a) Genarg.abstract_argument_type + +let (wit_binders_let : Genarg.tlevel binders_let_argtype), + (globwit_binders_let : Genarg.glevel binders_let_argtype), + (rawwit_binders_let : Genarg.rlevel binders_let_argtype) = + Genarg.create_arg "binders_let" + +open Pcoq.Constr VERNAC COMMAND EXTEND AddRelation - [ "Add" "Relation" constr(a) constr(aeq) "reflexivity" "proved" "by" constr(lemma1) + | [ "Add" "Relation" constr(a) constr(aeq) "reflexivity" "proved" "by" constr(lemma1) "symmetry" "proved" "by" constr(lemma2) "as" ident(n) ] -> [ declare_relation a aeq n (Some lemma1) (Some lemma2) None ] + | [ "Add" "Relation" constr(a) constr(aeq) "reflexivity" "proved" "by" constr(lemma1) "as" ident(n) ] -> [ declare_relation a aeq n (Some lemma1) None None ] @@ -1208,6 +1224,40 @@ VERNAC COMMAND EXTEND AddRelation3 [ declare_relation a aeq n None None (Some lemma3) ] END +VERNAC COMMAND EXTEND AddParametricRelation + | [ "Add" "Parametric" "Relation" binders_let(b) ":" constr(a) constr(aeq) + "reflexivity" "proved" "by" constr(lemma1) + "symmetry" "proved" "by" constr(lemma2) "as" ident(n) ] -> + [ declare_relation ~binders:b a aeq n (Some lemma1) (Some lemma2) None ] + | [ "Add" "Parametric" "Relation" binders_let(b) ":" constr(a) constr(aeq) + "reflexivity" "proved" "by" constr(lemma1) + "as" ident(n) ] -> + [ declare_relation ~binders:b a aeq n (Some lemma1) None None ] + | [ "Add" "Parametric" "Relation" binders_let(b) ":" constr(a) constr(aeq) "as" ident(n) ] -> + [ declare_relation ~binders:b a aeq n None None None ] +END + +VERNAC COMMAND EXTEND AddParametricRelation2 + [ "Add" "Parametric" "Relation" binders_let(b) ":" constr(a) constr(aeq) "symmetry" "proved" "by" constr(lemma2) + "as" ident(n) ] -> + [ declare_relation ~binders:b a aeq n None (Some lemma2) None ] + | [ "Add" "Parametric" "Relation" binders_let(b) ":" constr(a) constr(aeq) "symmetry" "proved" "by" constr(lemma2) "transitivity" "proved" "by" constr(lemma3) "as" ident(n) ] -> + [ declare_relation ~binders:b a aeq n None (Some lemma2) (Some lemma3) ] +END + +VERNAC COMMAND EXTEND AddParametricRelation3 + [ "Add" "Parametric" "Relation" binders_let(b) ":" constr(a) constr(aeq) "reflexivity" "proved" "by" constr(lemma1) + "transitivity" "proved" "by" constr(lemma3) "as" ident(n) ] -> + [ declare_relation ~binders:b a aeq n (Some lemma1) None (Some lemma3) ] + | [ "Add" "Parametric" "Relation" binders_let(b) ":" constr(a) constr(aeq) "reflexivity" "proved" "by" constr(lemma1) + "symmetry" "proved" "by" constr(lemma2) "transitivity" "proved" "by" constr(lemma3) + "as" ident(n) ] -> + [ declare_relation ~binders:b a aeq n (Some lemma1) (Some lemma2) (Some lemma3) ] + | [ "Add" "Parametric" "Relation" binders_let(b) ":" constr(a) constr(aeq) "transitivity" "proved" "by" constr(lemma3) + "as" ident(n) ] -> + [ declare_relation ~binders:b a aeq n None None (Some lemma3) ] +END + let mk_qualid s = Libnames.Qualid (dummy_loc, Libnames.qualid_of_string s) @@ -1271,10 +1321,10 @@ let build_morphism_signature m = in aux t in let t', sig_, evars = build_signature isevars env t cstrs None snd in - let _ = List.iter + let _ = List.iter (fun (ty, rel) -> let default = mkApp (Lazy.force default_relation, [| ty; rel |]) in - ignore(Evarutil.e_new_evar isevars env default)) + ignore (Evarutil.e_new_evar isevars env default)) evars in let morph = @@ -1283,7 +1333,7 @@ let build_morphism_signature m = let evd = resolve_all_evars_once false (true, 15) env (fun x evi -> class_of_constr evi.Evd.evar_concl <> None) !isevars in Evarutil.nf_isevar evd morph - + let default_morphism sign m = let env = Global.env () in let isevars = ref (Evd.create_evar_defs Evd.empty) in @@ -1297,55 +1347,67 @@ let default_morphism sign m = let mor = resolve_one_typeclass env morph in mor, respect_projection mor morph +let add_setoid binders a aeq t n = + init_setoid (); + let lemma_refl = declare_instance_refl binders a aeq n (mkappc "Seq_refl" [a;aeq;t]) in + let lemma_sym = declare_instance_sym binders a aeq n (mkappc "Seq_sym" [a;aeq;t]) in + let lemma_trans = declare_instance_trans binders a aeq n (mkappc "Seq_trans" [a;aeq;t]) in + let instance = declare_instance a aeq n "Coq.Classes.RelationClasses.Equivalence" + in ignore( + anew_instance binders instance + [((dummy_loc,id_of_string "equiv_refl"), [], mkIdentC lemma_refl); + ((dummy_loc,id_of_string "equiv_sym"), [], mkIdentC lemma_sym); + ((dummy_loc,id_of_string "equiv_trans"),[], mkIdentC lemma_trans)]) + +let add_morphism_infer m n = + init_setoid (); + let instance_id = add_suffix n "_Morphism" in + let instance = build_morphism_signature m in + if Lib.is_modtype () then + let cst = Declare.declare_internal_constant instance_id + (Entries.ParameterEntry (instance,false), Decl_kinds.IsAssumption Decl_kinds.Logical) + in + add_instance { is_class = Lazy.force morphism_class ; is_pri = None; is_impl = cst }; + declare_projection n instance_id (ConstRef cst) + else + let kind = Decl_kinds.Global, Decl_kinds.DefinitionBody Decl_kinds.Instance in + Flags.silently + (fun () -> + Command.start_proof instance_id kind instance + (fun _ -> function + Libnames.ConstRef cst -> + add_instance { is_class = Lazy.force morphism_class ; is_pri = None; is_impl = cst }; + declare_projection n instance_id (ConstRef cst) + | _ -> assert false); + Pfedit.by (Tacinterp.interp <:tactic<add_morphism_tactic>>)) (); + Flags.if_verbose (fun x -> msg (Printer.pr_open_subgoals x)) () + +let add_morphism binders m s n = + init_setoid (); + let instance_id = add_suffix n "_Morphism" in + let instance = + ((dummy_loc,Name instance_id), Explicit, + CAppExpl (dummy_loc, + (None, Qualid (dummy_loc, Libnames.qualid_of_string "Coq.Classes.Morphisms.Morphism")), + [cHole; s; m])) + in + let tac = Tacinterp.interp <:tactic<add_morphism_tactic>> in + ignore(new_instance binders instance [] + ~on_free_vars:Classes.fail_on_free_vars + ~tac ~hook:(fun cst -> declare_projection n instance_id (ConstRef cst)) + None) + VERNAC COMMAND EXTEND AddSetoid1 [ "Add" "Setoid" constr(a) constr(aeq) constr(t) "as" ident(n) ] -> - [ init_setoid (); - let lemma_refl = declare_instance_refl a aeq n (mkappc "Seq_refl" [a;aeq;t]) in - let lemma_sym = declare_instance_sym a aeq n (mkappc "Seq_sym" [a;aeq;t]) in - let lemma_trans = declare_instance_trans a aeq n (mkappc "Seq_trans" [a;aeq;t]) in - let instance = declare_instance a aeq n "Coq.Classes.RelationClasses.Equivalence" - in ignore( - anew_instance instance - [((dummy_loc,id_of_string "equiv_refl"), [], mkIdentC lemma_refl); - ((dummy_loc,id_of_string "equiv_sym"), [], mkIdentC lemma_sym); - ((dummy_loc,id_of_string "equiv_trans"),[], mkIdentC lemma_trans)])] + [ add_setoid [] a aeq t n ] + | [ "Add" "Parametric" "Setoid" binders_let(binders) ":" constr(a) constr(aeq) constr(t) "as" ident(n) ] -> + [ add_setoid binders a aeq t n ] | [ "Add" "Morphism" constr(m) ":" ident(n) ] -> - [ init_setoid (); - let instance_id = add_suffix n "_Morphism" in - let instance = build_morphism_signature m in - if Lib.is_modtype () then - let cst = Declare.declare_internal_constant instance_id - (Entries.ParameterEntry (instance,false), Decl_kinds.IsAssumption Decl_kinds.Logical) - in - add_instance { is_class = Lazy.force morphism_class ; is_pri = None; is_impl = cst }; - declare_projection n instance_id (ConstRef cst) - else - let kind = Decl_kinds.Global, Decl_kinds.DefinitionBody Decl_kinds.Instance in - Flags.silently - (fun () -> - Command.start_proof instance_id kind instance - (fun _ -> function - Libnames.ConstRef cst -> - add_instance { is_class = Lazy.force morphism_class ; is_pri = None; is_impl = cst }; - declare_projection n instance_id (ConstRef cst) - | _ -> assert false); - Pfedit.by (Tacinterp.interp <:tactic<add_morphism_tactic>>)) (); - Flags.if_verbose (fun x -> msg (Printer.pr_open_subgoals x)) () ] - + [ add_morphism_infer m n ] | [ "Add" "Morphism" constr(m) "with" "signature" lconstr(s) "as" ident(n) ] -> - [ init_setoid (); - let instance_id = add_suffix n "_Morphism" in - let instance = - ((dummy_loc,Name instance_id), Explicit, - CAppExpl (dummy_loc, - (None, Qualid (dummy_loc, Libnames.qualid_of_string "Coq.Classes.Morphisms.Morphism")), - [cHole; s; m])) - in - let tac = Tacinterp.interp <:tactic<add_morphism_tactic>> in - ignore(new_instance [] instance [] - ~tac ~hook:(fun cst -> declare_projection n instance_id (ConstRef cst)) - None) - ] + [ add_morphism [] m s n ] + | [ "Add" "Parametric" "Morphism" binders_let(binders) ":" constr(m) "with" "signature" lconstr(s) "as" ident(n) ] -> + [ add_morphism binders m s n ] END (** Bind to "rewrite" too *) @@ -1375,7 +1437,7 @@ let check_evar_map_of_evars_defs evd = let unification_rewrite l2r c1 c2 cl rel but gl = let (env',c') = try - (* ~flags:(false,true) to allow to mark occurences that must not be + (* ~flags:(false,true) to allow to mark occurrences that must not be rewritten simply by replacing them with let-defined definitions in the context *) Unification.w_unify_to_subterm ~flags:rewrite_unif_flags (pf_env gl) ((if l2r then c1 else c2),but) cl.evd @@ -1408,15 +1470,15 @@ let get_hyp gl c clause l2r = let general_rewrite_flags = { under_lambdas = false; on_morphisms = false } -let general_s_rewrite l2r c ~new_goals gl = +let general_s_rewrite l2r occs c ~new_goals gl = let meta = Evarutil.new_meta() in let hypinfo = ref (get_hyp gl c None l2r) in - cl_rewrite_clause_aux ~flags:general_rewrite_flags hypinfo meta [] None gl + cl_rewrite_clause_aux ~flags:general_rewrite_flags hypinfo meta occs None gl -let general_s_rewrite_in id l2r c ~new_goals gl = +let general_s_rewrite_in id l2r occs c ~new_goals gl = let meta = Evarutil.new_meta() in let hypinfo = ref (get_hyp gl c (Some id) l2r) in - cl_rewrite_clause_aux ~flags:general_rewrite_flags hypinfo meta [] (Some (([],id), [])) gl + cl_rewrite_clause_aux ~flags:general_rewrite_flags hypinfo meta occs (Some (([],id), [])) gl let classes_dirpath = make_dirpath (List.map id_of_string ["Classes";"Coq"]) |