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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: discharge.ml 9310 2006-10-28 19:35:09Z herbelin $ *)
open Names
open Util
open Sign
open Term
open Entries
open Declarations
open Cooking
(********************************)
(* Discharging mutual inductive *)
let detype_param = function
| (Name id,None,p) -> id, Entries.LocalAssum p
| (Name id,Some p,_) -> id, Entries.LocalDef p
| (Anonymous,_,_) -> anomaly"Unnamed inductive local variable"
(* Replace
Var(y1)..Var(yq):C1..Cq |- Ij:Bj
Var(y1)..Var(yq):C1..Cq; I1..Ip:B1..Bp |- ci : Ti
by
|- Ij: (y1..yq:C1..Cq)Bj
I1..Ip:(B1 y1..yq)..(Bp y1..yq) |- ci : (y1..yq:C1..Cq)Ti[Ij:=(Ij y1..yq)]
*)
let abstract_inductive hyps nparams inds =
let ntyp = List.length inds in
let nhyp = named_context_length hyps in
let args = instance_from_named_context (List.rev hyps) in
let subs = list_tabulate (fun k -> lift nhyp (mkApp(mkRel (k+1),args))) ntyp in
let inds' =
List.map
(function (tname,arity,cnames,lc) ->
let lc' = List.map (substl subs) lc in
let lc'' = List.map (fun b -> Termops.it_mkNamedProd_wo_LetIn b hyps) lc' in
let arity' = Termops.it_mkNamedProd_wo_LetIn arity hyps in
(tname,arity',cnames,lc''))
inds in
let nparams' = nparams + Array.length args in
(* To be sure to be the same as before, should probably be moved to process_inductive *)
let params' = let (_,arity,_,_) = List.hd inds' in
let (params,_) = decompose_prod_n_assum nparams' arity in
List.map detype_param params
in
let ind'' =
List.map
(fun (a,arity,c,lc) ->
let _, short_arity = decompose_prod_n_assum nparams' arity in
let shortlc =
List.map (fun c -> snd (decompose_prod_n_assum nparams' c)) lc in
{ mind_entry_typename = a;
mind_entry_arity = short_arity;
mind_entry_consnames = c;
mind_entry_lc = shortlc })
inds'
in (params',ind'')
let process_inductive sechyps modlist mib =
let nparams = mib.mind_nparams in
let inds =
array_map_to_list
(fun mip ->
let arity = expmod_constr modlist (Termops.refresh_universes (Inductive.type_of_inductive (Global.env()) (mib,mip))) in
let lc = Array.map (expmod_constr modlist) mip.mind_user_lc in
(mip.mind_typename,
arity,
Array.to_list mip.mind_consnames,
Array.to_list lc))
mib.mind_packets in
let sechyps' = map_named_context (expmod_constr modlist) sechyps in
let (params',inds') = abstract_inductive sechyps' nparams inds in
{ mind_entry_record = mib.mind_record;
mind_entry_finite = mib.mind_finite;
mind_entry_params = params';
mind_entry_inds = inds' }
|
