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|
(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2011 *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(* $Id: subtac.ml 14641 2011-11-06 11:59:10Z herbelin $ *)
open Global
open Pp
open Util
open Names
open Sign
open Evd
open Term
open Termops
open Namegen
open Reductionops
open Environ
open Type_errors
open Typeops
open Libnames
open Classops
open List
open Recordops
open Evarutil
open Pretype_errors
open Rawterm
open Evarconv
open Pattern
open Vernacexpr
open Subtac_coercion
open Subtac_utils
open Coqlib
open Printer
open Subtac_errors
open Eterm
let require_library dirpath =
let qualid = (dummy_loc, qualid_of_dirpath (dirpath_of_string dirpath)) in
Library.require_library [qualid] None
open Pp
open Ppconstr
open Decl_kinds
open Tacinterp
open Tacexpr
let solve_tccs_in_type env id isevars evm c typ =
if not (evm = Evd.empty) then
let stmt_id = Nameops.add_suffix id "_stmt" in
let obls, _, c', t' = eterm_obligations env stmt_id !isevars evm 0 ~status:Expand c typ in
match Subtac_obligations.add_definition stmt_id ~term:c' typ obls with
| Subtac_obligations.Defined cst -> constant_value (Global.env())
(match cst with ConstRef kn -> kn | _ -> assert false)
| _ ->
errorlabstrm "start_proof"
(str "The statement obligations could not be resolved automatically, " ++ spc () ++
str "write a statement definition first.")
else
let _ = Typeops.infer_type env c in c
let start_proof_com env isevars sopt kind (bl,t) hook =
let id = match sopt with
| Some (loc,id) ->
(* We check existence here: it's a bit late at Qed time *)
if Nametab.exists_cci (Lib.make_path id) or is_section_variable id then
user_err_loc (loc,"start_proof",pr_id id ++ str " already exists");
id
| None ->
next_global_ident_away (id_of_string "Unnamed_thm")
(Pfedit.get_all_proof_names ())
in
let evm, c, typ, imps =
Subtac_pretyping.subtac_process ~is_type:true env isevars id [] (Topconstr.prod_constr_expr t bl) None
in
let c = solve_tccs_in_type env id isevars evm c typ in
Lemmas.start_proof id kind c (fun loc gr ->
Impargs.declare_manual_implicits (loc = Local) gr ~enriching:true [imps];
hook loc gr)
let print_subgoals () = Flags.if_verbose (fun () -> msg (Printer.pr_open_subgoals ())) ()
let start_proof_and_print env isevars idopt k t hook =
start_proof_com env isevars idopt k t hook;
print_subgoals ()
let _ = Detyping.set_detype_anonymous (fun loc n -> RVar (loc, id_of_string ("Anonymous_REL_" ^ string_of_int n)))
let assumption_message id =
Flags.if_verbose message ((string_of_id id) ^ " is assumed")
let declare_assumptions env isevars idl is_coe k bl c nl =
if not (Pfedit.refining ()) then
let id = snd (List.hd idl) in
let evm, c, typ, imps =
Subtac_pretyping.subtac_process env isevars id [] (Topconstr.prod_constr_expr c bl) None
in
let c = solve_tccs_in_type env id isevars evm c typ in
List.iter (Command.declare_assumption is_coe k c imps false nl) idl
else
errorlabstrm "Command.Assumption"
(str "Cannot declare an assumption while in proof editing mode.")
let dump_constraint ty ((loc, n), _, _) =
match n with
| Name id -> Dumpglob.dump_definition (loc, id) false ty
| Anonymous -> ()
let dump_variable lid = ()
let vernac_assumption env isevars kind l nl =
let global = fst kind = Global in
List.iter (fun (is_coe,(idl,c)) ->
if Dumpglob.dump () then
List.iter (fun lid ->
if global then Dumpglob.dump_definition lid (not global) "ax"
else dump_variable lid) idl;
declare_assumptions env isevars idl is_coe kind [] c nl) l
let check_fresh (loc,id) =
if Nametab.exists_cci (Lib.make_path id) or is_section_variable id then
user_err_loc (loc,"",pr_id id ++ str " already exists")
let subtac (loc, command) =
check_required_library ["Coq";"Init";"Datatypes"];
check_required_library ["Coq";"Init";"Specif"];
let env = Global.env () in
let isevars = ref (create_evar_defs Evd.empty) in
try
match command with
| VernacDefinition (defkind, (_, id as lid), expr, hook) ->
check_fresh lid;
Dumpglob.dump_definition lid false "def";
(match expr with
| ProveBody (bl, t) ->
start_proof_and_print env isevars (Some lid) (Global, DefinitionBody Definition) (bl,t)
(fun _ _ -> ())
| DefineBody (bl, _, c, tycon) ->
ignore(Subtac_pretyping.subtac_proof defkind hook env isevars id bl c tycon))
| VernacFixpoint (l, b) ->
List.iter (fun ((lid, _, _, _, _), _) ->
check_fresh lid;
Dumpglob.dump_definition lid false "fix") l;
let _ = trace (str "Building fixpoint") in
ignore(Subtac_command.build_recursive l b)
| VernacStartTheoremProof (thkind, [Some id, (bl,t,guard)], lettop, hook) ->
if guard <> None then
error "Do not support building theorems as a fixpoint.";
Dumpglob.dump_definition id false "prf";
if not(Pfedit.refining ()) then
if lettop then
errorlabstrm "Subtac_command.StartProof"
(str "Let declarations can only be used in proof editing mode");
if Lib.is_modtype () then
errorlabstrm "Subtac_command.StartProof"
(str "Proof editing mode not supported in module types");
check_fresh id;
start_proof_and_print env isevars (Some id) (Global, Proof thkind) (bl,t) hook
| VernacAssumption (stre,nl,l) ->
vernac_assumption env isevars stre l nl
| VernacInstance (abst, glob, sup, is, props, pri) ->
dump_constraint "inst" is;
if abst then
error "Declare Instance not supported here.";
ignore(Subtac_classes.new_instance ~global:glob sup is props pri)
| VernacCoFixpoint (l, b) ->
if Dumpglob.dump () then
List.iter (fun ((lid, _, _, _), _) -> Dumpglob.dump_definition lid false "cofix") l;
ignore(Subtac_command.build_corecursive l b)
(*| VernacEndProof e ->
subtac_end_proof e*)
| _ -> user_err_loc (loc,"", str ("Invalid Program command"))
with
| Typing_error e ->
msg_warning (str "Type error in Program tactic:");
let cmds =
(match e with
| NonFunctionalApp (loc, x, mux, e) ->
str "non functional application of term " ++
e ++ str " to function " ++ x ++ str " of (mu) type " ++ mux
| NonSigma (loc, t) ->
str "Term is not of Sigma type: " ++ t
| NonConvertible (loc, x, y) ->
str "Unconvertible terms:" ++ spc () ++
x ++ spc () ++ str "and" ++ spc () ++ y
| IllSorted (loc, t) ->
str "Term is ill-sorted:" ++ spc () ++ t
)
in msg_warning cmds
| Subtyping_error e ->
msg_warning (str "(Program tactic) Subtyping error:");
let cmds =
match e with
| UncoercibleInferType (loc, x, y) ->
str "Uncoercible terms:" ++ spc ()
++ x ++ spc () ++ str "and" ++ spc () ++ y
| UncoercibleInferTerm (loc, x, y, tx, ty) ->
str "Uncoercible terms:" ++ spc ()
++ tx ++ spc () ++ str "of" ++ spc () ++ str "type" ++ spc () ++ x
++ str "and" ++ spc() ++ ty ++ spc () ++ str "of" ++ spc () ++ str "type" ++ spc () ++ y
| UncoercibleRewrite (x, y) ->
str "Uncoercible terms:" ++ spc ()
++ x ++ spc () ++ str "and" ++ spc () ++ y
in msg_warning cmds
| Cases.PatternMatchingError (env, exn) as e -> raise e
| Type_errors.TypeError (env, exn) as e -> raise e
| Pretype_errors.PretypeError (env, exn) as e -> raise e
| e -> raise e
|
