| l -> CicNotationPt.Appl l
;;
+let mk_elim uri leftno [it] (outsort,suffix) =
+ let _,ind_name,ty,cl = it in
+ let srec_name = ind_name ^ "_" ^ suffix in
+ let rec_name = mk_id srec_name in
+ let name_of_k id = mk_id ("H_" ^ id) in
+ let p_name = mk_id "Q_" in
+ let params,ty = NCicReduction.split_prods ~subst:[] [] leftno ty in
+ let params = List.rev_map (function name,_ -> mk_id name) params in
+ let args,sort = NCicReduction.split_prods ~subst:[] [] (-1) ty in
+ let args = List.rev_map (function name,_ -> mk_id name) args in
+ let rec_arg = mk_id (fresh_name ()) in
+ let p_ty =
+ List.fold_right
+ (fun name res -> CicNotationPt.Binder (`Forall,(name,None),res)) args
+ (CicNotationPt.Binder
+ (`Forall,
+ (rec_arg,Some (mk_appl (mk_id ind_name :: params @ args))),
+ CicNotationPt.Sort outsort)) in
+ let args = args @ [rec_arg] in
+ let k_names = List.map (function _,name,_ -> name_of_k name) cl in
+ let final_params =
+ List.map (function name -> name, None) params @
+ [p_name,Some p_ty] @
+ List.map (function name -> name, None) k_names @
+ List.map (function name -> name, None) args in
+ let recno = List.length final_params in
+ let cty = mk_appl (p_name :: args) in
+ let ty = Some cty in
+ let branches =
+ List.map
+ (function (_,name,ty) ->
+ let _,ty = NCicReduction.split_prods ~subst:[] [] leftno ty in
+ let cargs,ty= my_split_prods ~subst:[] [] (-1) ty in
+ let cargs_and_recursive_args =
+ List.rev_map
+ (function
+ _,NCic.Def _ -> assert false
+ | name,NCic.Decl ty ->
+ let context,ty = my_split_prods ~subst:[] [] (-1) ty in
+ match ty with
+ | NCic.Const nref
+ | NCic.Appl (NCic.Const nref::_)
+ when
+ let NReference.Ref (uri',_) = nref in
+ NUri.eq uri uri'
+ ->
+ let abs = List.rev_map (fun id,_ -> mk_id id) context in
+ let name = mk_id name in
+ name, Some (
+ List.fold_right
+ (fun id res ->
+ CicNotationPt.Binder (`Lambda,(id,None),res))
+ abs
+ (CicNotationPt.Appl
+ (rec_name ::
+ params @
+ [p_name] @
+ k_names @
+ List.map (fun _ -> CicNotationPt.Implicit)
+ (List.tl args) @
+ [mk_appl (name::abs)])))
+ | _ -> mk_id name,None
+ ) cargs in
+ let cargs,recursive_args = List.split cargs_and_recursive_args in
+ let recursive_args = HExtlib.filter_map (fun x -> x) recursive_args in
+ CicNotationPt.Pattern (name,None,List.map (fun x -> x,None) cargs),
+ CicNotationPt.Appl (name_of_k name :: cargs @ recursive_args)
+ ) cl
+ in
+ let bo = CicNotationPt.Case (rec_arg,None,None,branches) in
+ let where = List.length final_params - 1 in
+ let res =
+ CicNotationPt.LetRec (`Inductive,
+ [final_params, (rec_name,ty), bo, where], rec_name)
+ in
+ prerr_endline
+ (BoxPp.render_to_string
+ ~map_unicode_to_tex:false
+ (function x::_ -> x | _ -> assert false)
+ 80 (CicNotationPres.render (fun _ -> None)
+ (TermContentPres.pp_ast res)));
+ prerr_endline "#####";
+ let cobj = ("xxx", [], None, `Joint {
+ Content.joint_id = "yyy";
+ joint_kind = `Recursive [recno];
+ joint_defs =
+ [ `Definition {
+ Content.def_name = Some srec_name;
+ def_id = "zzz";
+ def_aref = "www";
+ def_term = bo;
+ def_type =
+ List.fold_right
+ (fun x t -> CicNotationPt.Binder(`Forall,x,t))
+ final_params cty
+ }
+ ];
+ })
+ in
+ let ids_to_nrefs = Hashtbl.create 1 in
+ let boxml = Content2pres.ncontent2pres ~ids_to_nrefs cobj in
+ prerr_endline (
+ (BoxPp.render_to_string ~map_unicode_to_tex:false
+ (function x::_ -> x | _ -> assert false) 80
+ (CicNotationPres.mpres_of_box boxml)));
+ CicNotationPt.Theorem (`Definition,srec_name,CicNotationPt.Implicit,Some res)
+;;
+
let mk_elims (uri,_,_,_,obj) =
- match obj with
- NCic.Inductive (true,leftno,[it],_) ->
- let _,ind_name,ty,cl = it in
- let srec_name = ind_name ^ "_rect" in
- let rec_name = mk_id srec_name in
- let name_of_k id = mk_id ("H_" ^ id) in
- let p_name = mk_id "Q_" in
- let params,ty = NCicReduction.split_prods ~subst:[] [] leftno ty in
- let params = List.rev_map (function name,_ -> mk_id name) params in
- let args,sort = NCicReduction.split_prods ~subst:[] [] (-1) ty in
- let args = List.rev_map (function name,_ -> mk_id name) args in
- let rec_arg = mk_id (fresh_name ()) in
- let p_ty =
- List.fold_right
- (fun name res -> CicNotationPt.Binder (`Forall,(name,None),res)) args
- (CicNotationPt.Binder
- (`Forall,
- (rec_arg,Some (mk_appl (mk_id ind_name :: params @ args))),
- CicNotationPt.Sort (`Type (CicUniv.fresh ())))) in
- let args = args @ [rec_arg] in
- let k_names = List.map (function _,name,_ -> name_of_k name) cl in
- let final_params =
- List.map (function name -> name, None) params @
- [p_name,Some p_ty] @
- List.map (function name -> name, None) k_names @
- List.map (function name -> name, None) args in
- let recno = List.length final_params in
- let cty = mk_appl (p_name :: args) in
- let ty = Some cty in
- let branches =
- List.map
- (function (_,name,ty) ->
- let _,ty = NCicReduction.split_prods ~subst:[] [] leftno ty in
- let cargs,ty= my_split_prods ~subst:[] [] (-1) ty in
- let cargs_and_recursive_args =
- List.rev_map
- (function
- _,NCic.Def _ -> assert false
- | name,NCic.Decl ty ->
- let context,ty = my_split_prods ~subst:[] [] (-1) ty in
- match ty with
- | NCic.Const nref
- | NCic.Appl (NCic.Const nref::_)
- when
- let NReference.Ref (uri',_) = nref in
- NUri.eq uri uri'
- ->
- let abs = List.rev_map (fun id,_ -> mk_id id) context in
- let name = mk_id name in
- name, Some (
- List.fold_right
- (fun id res ->
- CicNotationPt.Binder (`Lambda,(id,None),res))
- abs
- (CicNotationPt.Appl
- (rec_name ::
- params @
- [p_name] @
- k_names @
- List.map (fun _ -> CicNotationPt.Implicit)
- (List.tl args) @
- [mk_appl (name::abs)])))
- | _ -> mk_id name,None
- ) cargs in
- let cargs,recursive_args = List.split cargs_and_recursive_args in
- let recursive_args = HExtlib.filter_map (fun x -> x) recursive_args in
- CicNotationPt.Pattern (name,None,List.map (fun x -> x,None) cargs),
- CicNotationPt.Appl (name_of_k name :: cargs @ recursive_args)
- ) cl
- in
- let bo = CicNotationPt.Case (rec_arg,None,None,branches) in
- let where = List.length final_params - 1 in
- let res =
- CicNotationPt.LetRec (`Inductive,
- [final_params, (rec_name,ty), bo, where], rec_name)
- in
- prerr_endline (CicNotationPp.pp_term res);
- prerr_endline "#####";
- prerr_endline
- (BoxPp.render_to_string
- ~map_unicode_to_tex:false
- (function x::_ -> x | _ -> assert false)
- 80 (CicNotationPres.render (fun _ -> None)
- (TermContentPres.pp_ast res)));
- prerr_endline "#####";
- let cobj = ("xxx", [], None, `Joint {
- Content.joint_id = "yyy";
- joint_kind = `Recursive [recno];
- joint_defs =
- [ `Definition {
- Content.def_name = Some srec_name;
- def_id = "zzz";
- def_aref = "www";
- def_term = bo;
- def_type =
- List.fold_right
- (fun x t -> CicNotationPt.Binder(`Forall,x,t))
- final_params cty
- }
- ];
- })
- in
- let ids_to_nrefs = Hashtbl.create 1 in
- let boxml = Content2pres.ncontent2pres ~ids_to_nrefs cobj in
- prerr_endline (
- (BoxPp.render_to_string ~map_unicode_to_tex:false
- (function x::_ -> x | _ -> assert false) 80
- (CicNotationPres.mpres_of_box boxml)));
- [CicNotationPt.Theorem (`Definition,srec_name,CicNotationPt.Implicit,Some res)]
- | _ -> []
+ let ast_of_sort s =
+ match s with
+ NCic.Prop -> `Prop,"ind"
+ | NCic.Type u ->
+ let u = NCicPp.ppterm ~metasenv:[] ~subst:[] ~context:[] (NCic.Sort s) in
+ `NType u, "rect_" ^ u
+ in
+ match obj with
+ NCic.Inductive (true,leftno,itl,_) ->
+ List.map (fun s -> mk_elim uri leftno itl (ast_of_sort s))
+ (NCic.Prop::
+ List.map (fun s -> NCic.Type s) (NCicEnvironment.get_universes ()))
+ | _ -> []
;;