+ bo
+ | Cic.Lambda (name, src, tgt),_ ->
+ Cic.Lambda (name, src,
+ keep_lambdas_and_put_expty
+ (Some (name, Cic.Decl src)::ctx) tgt (CS.lift 1 bo)
+ (List.map (CS.lift 1) right_p) (CS.lift 1 matched) (n-1))
+ | _ -> assert false
+ in
+ let eq_uri, eq, eq_refl =
+ match LibraryObjects.eq_URI () with
+ | None -> HLog.warn "no default equality"; raise exn
+ | Some u -> u, Cic.MutInd(u,0,[]), Cic.MutConstruct (u,0,1,[])
+ in
+ let add_params
+ metasenv subst context uri tyno cty outty mty m leftno i
+ =
+ let rec aux context outty par k mty m = function
+ | Cic.Prod (name, src, tgt) ->
+ let t,k =
+ aux
+ (Some (name, Cic.Decl src) :: context)
+ (CS.lift 1 outty) (Cic.Rel k::par) (k+1)
+ (CS.lift 1 mty) (CS.lift 1 m) tgt
+ in
+ Cic.Prod (name, src, t), k
+ | Cic.MutInd _ ->
+ let k =
+ let k = Cic.MutConstruct (uri,tyno,i,[]) in
+ if par <> [] then Cic.Appl (k::par) else k
+ in
+ Cic.Prod (Cic.Name "p",
+ Cic.Appl [eq; mty; m; k],
+ (CS.lift 1
+ (CR.head_beta_reduce ~delta:false
+ (Cic.Appl [outty;k])))),k
+ | Cic.Appl (Cic.MutInd _::pl) ->
+ let left_p,right_p = HExtlib.split_nth leftno pl in
+ let has_rights = right_p <> [] in
+ let k =
+ let k = Cic.MutConstruct (uri,tyno,i,[]) in
+ Cic.Appl (k::left_p@par)
+ in
+ let right_p =
+ try match
+ CicTypeChecker.type_of_aux' ~subst metasenv context k
+ CicUniv.oblivion_ugraph
+ with
+ | Cic.Appl (Cic.MutInd _::args),_ ->
+ snd (HExtlib.split_nth leftno args)
+ | _ -> assert false
+ with CicTypeChecker.TypeCheckerFailure _-> assert false
+ in
+ if has_rights then
+ CR.head_beta_reduce ~delta:false
+ (Cic.Appl (outty ::right_p @ [k])),k
+ else
+ Cic.Prod (Cic.Name "p",
+ Cic.Appl [eq; mty; m; k],
+ (CS.lift 1
+ (CR.head_beta_reduce ~delta:false
+ (Cic.Appl (outty ::right_p @ [k]))))),k
+ | _ -> assert false
+ in
+ aux context outty [] 1 mty m cty
+ in
+ let add_lambda_for_refl_m pbo rno mty m k cty =
+ (* k lives in the right context *)
+ if rno <> 0 then pbo else
+ let rec aux mty m = function
+ | Cic.Lambda (name,src,bo), Cic.Prod (_,_,ty) ->
+ Cic.Lambda (name,src,
+ (aux (CS.lift 1 mty) (CS.lift 1 m) (bo,ty)))
+ | t,_ ->
+ Cic.Lambda (Cic.Name "p",
+ Cic.Appl [eq; mty; m; k],CS.lift 1 t)
+ in
+ aux mty m (pbo,cty)
+ in
+ let add_pi_for_refl_m new_outty mty m rno =
+ if rno <> 0 then new_outty else
+ let rec aux m mty = function
+ | Cic.Lambda (name, src, tgt) ->
+ Cic.Lambda (name, src,
+ aux (CS.lift 1 m) (CS.lift 1 mty) tgt)
+ | t ->
+ Cic.Prod
+ (Cic.Anonymous, Cic.Appl [eq;mty;m;Cic.Rel 1],
+ CS.lift 1 t)
+ in
+ aux m mty new_outty
+ in (* }}} end helper functions *)
+ (* constructors types with left params already instantiated *)
+ let outty = CicMetaSubst.apply_subst subst outty in
+ let cl, left_p, leftno,rno,ugraph =
+ get_cl_and_left_p uri tyno outty ugraph
+ in
+ let right_p, mty =
+ try
+ match
+ CicTypeChecker.type_of_aux' ~subst metasenv context m
+ CicUniv.oblivion_ugraph
+ with
+ | Cic.MutInd _ as mty,_ -> [], mty
+ | Cic.Appl (Cic.MutInd _::args) as mty,_ ->
+ snd (HExtlib.split_nth leftno args), mty
+ | _ -> assert false
+ with CicTypeChecker.TypeCheckerFailure _ -> assert false
+ in
+ let new_outty =
+ keep_lambdas_and_put_expty context outty expty right_p m (rno+1)
+ in
+ debug_print
+ (lazy ("CASE: new_outty: " ^ CicMetaSubst.ppterm_in_context
+ ~metasenv subst new_outty context));
+ let _,pl,subst,metasenv,ugraph =
+ List.fold_right2
+ (fun cty pbo (i, acc, s, menv, ugraph) ->
+ (* Pi k_par, (Pi H:m=(K_i left_par k_par)),
+ * (new_)outty right_par (K_i left_par k_par) *)
+ let infty_pbo, _ =
+ add_params menv s context uri tyno
+ cty outty mty m leftno i in
+ debug_print
+ (lazy ("CASE: infty_pbo: "^CicMetaSubst.ppterm_in_context
+ ~metasenv subst infty_pbo context));
+ let expty_pbo, k = (* k is (K_i left_par k_par) *)
+ add_params menv s context uri tyno
+ cty new_outty mty m leftno i in
+ debug_print
+ (lazy ("CASE: expty_pbo: "^CicMetaSubst.ppterm_in_context
+ ~metasenv subst expty_pbo context));
+ let pbo = add_lambda_for_refl_m pbo rno mty m k cty in
+ debug_print
+ (lazy ("CASE: pbo: " ^ CicMetaSubst.ppterm_in_context
+ ~metasenv subst pbo context));
+ let (pbo, _), subst, metasenv, ugraph =
+ coerce_to_something_aux pbo infty_pbo expty_pbo
+ s menv context ugraph
+ in
+ debug_print
+ (lazy ("CASE: pbo: " ^ CicMetaSubst.ppterm_in_context
+ ~metasenv subst pbo context));
+ (i-1, pbo::acc, subst, metasenv, ugraph))
+ cl pl (List.length pl, [], subst, metasenv, ugraph)
+ in
+ let new_outty = add_pi_for_refl_m new_outty mty m rno in
+ debug_print
+ (lazy ("CASE: new_outty: " ^ CicMetaSubst.ppterm_in_context
+ ~metasenv subst new_outty context));
+ let t =
+ if rno = 0 then
+ let refl_m=Cic.Appl[eq_refl;mty;m]in
+ Cic.Appl [Cic.MutCase(uri,tyno,new_outty,m,pl);refl_m]
+ else
+ Cic.MutCase(uri,tyno,new_outty,m,pl)
+ in
+ (t, expty), subst, metasenv, ugraph (*}}}*)
+ | Cic.Prod (nameprod, src, ty),Cic.Prod (_, src2, ty2), _ ->
+ (*{{{*) debug_print (lazy "LAM");
+ let name_con =
+ FreshNamesGenerator.mk_fresh_name
+ ~subst metasenv context ~typ:src2 Cic.Anonymous
+ in
+ let context_src2 = (Some (name_con, Cic.Decl src2) :: context) in
+ (* contravariant part: the argument of f:src->ty *)
+ let (rel1, _), subst, metasenv, ugraph =
+ coerce_to_something_aux
+ (Cic.Rel 1) (CS.lift 1 src2)
+ (CS.lift 1 src) subst metasenv context_src2 ugraph
+ in
+ (* covariant part: the result of f(c x); x:src2; (c x):src *)
+ let name_t, bo =
+ match t with
+ | Cic.Lambda (n,_,bo) -> n, cs_subst rel1 (CS.lift_from 2 1 bo)
+ | _ -> name_con, Cic.Appl[CS.lift 1 t;rel1]
+ in
+ (* we fix the possible dependency problem in the source ty *)
+ let ty = cs_subst rel1 (CS.lift_from 2 1 ty) in
+ let (bo, _), subst, metasenv, ugraph =
+ coerce_to_something_aux
+ bo ty ty2 subst metasenv context_src2 ugraph
+ in
+ let coerced = Cic.Lambda (name_t,src2, bo) in
+ (coerced, expty), subst, metasenv, ugraph (*}}}*)
+ | _ ->
+ (*{{{*)debug_print (lazy ("ATOM: "^CicMetaSubst.ppterm_in_context
+ ~metasenv subst infty context ^ " ==> " ^
+ CicMetaSubst.ppterm_in_context ~metasenv subst expty context));
+ coerce_atom_to_something
+ t infty expty subst metasenv context ugraph (*}}}*)
+ in
+ debug_print (lazy ("COERCE TO SOMETHING END: "^
+ CicMetaSubst.ppterm_in_context ~metasenv subst coerced context));
+ result