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(************************************************************************)
(* v * The Coq Proof Assistant / The Coq Development Team *)
(* <O___,, * CNRS-Ecole Polytechnique-INRIA Futurs-Universite Paris Sud *)
(* \VV/ **************************************************************)
(* // * This file is distributed under the terms of the *)
(* * GNU Lesser General Public License Version 2.1 *)
(************************************************************************)
(* $Id: subtac_pretyping.ml 9563 2007-01-31 09:37:18Z msozeau $ *)
open Global
open Pp
open Util
open Names
open Sign
open Evd
open Term
open Termops
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 Dyn
open Subtac_coercion
open Subtac_utils
open Coqlib
open Printer
open Subtac_errors
open Context
open Eterm
module Pretyping = Subtac_pretyping_F.SubtacPretyping_F(Subtac_coercion.Coercion)
open Pretyping
let _ = Pretyping.allow_anonymous_refs := true
type recursion_info = {
arg_name: name;
arg_type: types; (* A *)
args_after : rel_context;
wf_relation: constr; (* R : A -> A -> Prop *)
wf_proof: constr; (* : well_founded R *)
f_type: types; (* f: A -> Set *)
f_fulltype: types; (* Type with argument and wf proof product first *)
}
let my_print_rec_info env t =
str "Name: " ++ Nameops.pr_name t.arg_name ++ spc () ++
str "Arg type: " ++ my_print_constr env t.arg_type ++ spc () ++
str "Wf relation: " ++ my_print_constr env t.wf_relation ++ spc () ++
str "Wf proof: " ++ my_print_constr env t.wf_proof ++ spc () ++
str "Abbreviated Type: " ++ my_print_constr env t.f_type ++ spc () ++
str "Full type: " ++ my_print_constr env t.f_fulltype
(* trace (str "pretype for " ++ (my_print_rawconstr env c) ++ *)
(* str " and tycon "++ my_print_tycon env tycon ++ *)
(* str " in environment: " ++ my_print_env env); *)
let merge_evms x y =
Evd.fold (fun ev evi evm -> Evd.add evm ev evi) x y
let interp env isevars c tycon =
let j = pretype tycon env isevars ([],[]) c in
let evm = evars_of !isevars in
nf_evar evm j.uj_val, nf_evar evm j.uj_type
let find_with_index x l =
let rec aux i = function
(y, _, _) as t :: tl -> if x = y then i, t else aux (succ i) tl
| [] -> raise Not_found
in aux 0 l
let list_split_at index l =
let rec aux i acc = function
hd :: tl when i = index -> (List.rev acc), tl
| hd :: tl -> aux (succ i) (hd :: acc) tl
| [] -> failwith "list_split_at: Invalid argument"
in aux 0 [] l
open Vernacexpr
let coqintern evd env : Topconstr.constr_expr -> Rawterm.rawconstr = Constrintern.intern_constr (evars_of evd) env
let coqinterp evd env : Topconstr.constr_expr -> Term.constr = Constrintern.interp_constr (evars_of evd) env
let env_with_binders env isevars l =
let rec aux ((env, rels) as acc) = function
Topconstr.LocalRawDef ((loc, name), def) :: tl ->
let rawdef = coqintern !isevars env def in
let coqdef, deftyp = interp env isevars rawdef empty_tycon in
let reldecl = (name, Some coqdef, deftyp) in
aux (push_rel reldecl env, reldecl :: rels) tl
| Topconstr.LocalRawAssum (bl, typ) :: tl ->
let rawtyp = coqintern !isevars env typ in
let coqtyp, typtyp = interp env isevars rawtyp empty_tycon in
let acc =
List.fold_left (fun (env, rels) (loc, name) ->
let reldecl = (name, None, coqtyp) in
(push_rel reldecl env,
reldecl :: rels))
(env, rels) bl
in aux acc tl
| [] -> acc
in aux (env, []) l
let subtac_process env isevars id l c tycon =
let env_binders, binders_rel = env_with_binders env isevars l in
let tycon =
match tycon with
None -> empty_tycon
| Some t ->
let t = coqintern !isevars env_binders t in
let coqt, ttyp = interp env_binders isevars t empty_tycon in
mk_tycon coqt
in
let c = coqintern !isevars env_binders c in
let c = Subtac_utils.rewrite_cases env c in
let coqc, ctyp = interp env_binders isevars c tycon in
(* let _ = try trace (str "Interpreted term: " ++ my_print_constr env_binders coqc ++ spc () ++ *)
(* str "Coq type: " ++ my_print_constr env_binders ctyp) *)
(* with _ -> () *)
(* in *)
(* let _ = try trace (str "Original evar map: " ++ Evd.pr_evar_map (evars ())) with _ -> () in *)
let fullcoqc = it_mkLambda_or_LetIn coqc binders_rel
and fullctyp = it_mkProd_or_LetIn ctyp binders_rel
in
let fullcoqc = Evarutil.nf_evar (evars_of !isevars) fullcoqc in
let fullctyp = Evarutil.nf_evar (evars_of !isevars) fullctyp in
(* let _ = try trace (str "After evar normalization: " ++ spc () ++ *)
(* str "Coq term: " ++ my_print_constr env fullcoqc ++ spc () *)
(* ++ str "Coq type: " ++ my_print_constr env fullctyp) *)
(* with _ -> () *)
(* in *)
let evm = non_instanciated_map env isevars in
(* let _ = try trace (str "Non instanciated evars map: " ++ Evd.pr_evar_map evm) with _ -> () in *)
evm, fullcoqc, fullctyp
open Subtac_obligations
let subtac_proof env isevars id l c tycon =
let nc = named_context env in
let nc_len = named_context_length nc in
let evm, coqc, coqt = subtac_process env isevars id l c tycon in
let evars, def = Eterm.eterm_obligations id nc_len evm coqc (Some coqt) in
add_definition id def coqt evars
|