+(* functions to be moved ****************************************************)
+
+let rec list_split n l =
+ if n = 0 then [],l else
+ let l1, l2 = list_split (pred n) (List.tl l) in
+ List.hd l :: l1, l2
+
+let cont sep a = match sep with
+ | None -> a
+ | Some sep -> sep :: a
+
+let list_rev_map_concat map sep a l =
+ let rec aux a = function
+ | [] -> a
+ | [x] -> map a x
+ | x :: y :: l -> aux (sep :: map a x) (y :: l)
+ in
+ aux a l
+
+(****************************************************************************)
+
+type name = string
+type what = Cic.annterm
+type using = Cic.annterm
+type count = int
+type note = string
+
+type step = Note of note
+ | Theorem of name * what * note
+ | Qed of note
+ | Intros of count option * name list * note
+ | Elim of what * using option * note
+ | LetIn of name * what * note
+ | Apply of what * note
+ | Exact of what * note
+ | Branch of step list list * note
+
+(* annterm constructors *****************************************************)
+
+let mk_arel i b = Cic.ARel ("", "", i, b)
+
+(* level 2 transformation ***************************************************)
+
+let mk_name = function
+ | Some name -> name
+ | None -> "UNUSED" (**)
+
+let mk_intros_arg = function
+ | `Declaration {C.dec_name = name}
+ | `Hypothesis {C.dec_name = name}
+ | `Definition {C.def_name = name} -> mk_name name
+ | `Joint _ -> assert false
+ | `Proof _ -> assert false
+
+let mk_intros_args pc = List.map mk_intros_arg pc
+
+let split_inductive n tl =
+ let l1, l2 = list_split (int_of_string n) tl in
+ List.hd (List.rev l2), l1
+
+let rec mk_apply_term aref ac ds cargs =
+ let step0 = mk_arg true (ac, [], ds) (List.hd cargs) in
+ let ac, row, ds = List.fold_left (mk_arg false) step0 (List.tl cargs) in
+ ac, ds, Cic.AAppl (aref, List.rev row)
+
+and mk_delta ac ds = match ac with
+ | p :: ac ->
+ let cmethod = p.C.proof_conclude.C.conclude_method in
+ let cargs = p.C.proof_conclude.C.conclude_args in
+ let capply = p.C.proof_apply_context in
+ let ccont = p.C.proof_context in
+ let caref = p.C.proof_conclude.C.conclude_aref in
+ begin match cmethod with
+ | "Exact"
+ | "Apply" when ccont = [] && capply = [] ->
+ let ac, ds, what = mk_apply_term caref ac ds cargs in
+ let name = "PREVIOUS" in
+ ac, mk_arel 1 name, LetIn (name, what, "") :: ds
+ | _ -> ac, mk_arel 1 "COMPOUND", ds
+ end
+ | _ -> assert false
+
+and mk_arg first (ac, row, ds) = function
+ | C.Lemma {C.lemma_id = aref; C.lemma_uri = uri} ->
+ let t = match CicUtil.term_of_uri (U.uri_of_string uri) with
+ | Cic.Const (uri, _) -> Cic.AConst (aref, uri, [])
+ | Cic.MutConstruct (uri, tno, cno, _) ->
+ Cic.AMutConstruct (aref, uri, tno, cno, [])
+ | _ -> assert false
+ in
+ ac, t :: row, ds
+ | C.Premise {C.premise_n = Some i; C.premise_binder = Some b} ->
+ ac, mk_arel i b :: row, ds
+ | C.Premise {C.premise_n = None; C.premise_binder = None} ->
+ let ac, arg, ds = mk_delta ac ds in
+ ac, arg :: row, ds
+ | C.Term t when first -> ac, t :: row, ds
+ | C.Term _ -> ac, Cic.AImplicit ("", None) :: row, ds
+ | C.Premise _ -> assert false
+ | C.ArgMethod _ -> assert false
+ | C.ArgProof _ -> assert false
+ | C.Aux _ -> assert false
+
+let rec mk_proof p =
+ let names = mk_intros_args p.C.proof_context in
+ let count = List.length names in
+ if count > 0 then Intros (Some count, names, "") :: mk_proof_body p
+ else mk_proof_body p
+
+and mk_proof_body p =
+ let cmethod = p.C.proof_conclude.C.conclude_method in
+ let cargs = p.C.proof_conclude.C.conclude_args in
+ let capply = p.C.proof_apply_context in
+ let caref = p.C.proof_conclude.C.conclude_aref in
+ match cmethod, cargs with
+ | "Intros+LetTac", [C.ArgProof p] -> mk_proof p
+ | "ByInduction", C.Aux n :: C.Term (Cic.AAppl (_, using :: _)) :: tl ->
+ let whatm, ms = split_inductive n tl in (* actual rx params here *)
+ let _, row, ds = mk_arg true (List.rev capply, [], []) whatm in
+ let what, qs = List.hd row, mk_subproofs ms in
+ List.rev ds @ [Elim (what, Some using, ""); Branch (qs, "")]
+ | "Apply", _ ->
+ let ac, ds, what = mk_apply_term caref (List.rev capply) [] cargs in
+ let qs = List.map mk_proof ac in
+ List.rev ds @ [Apply (what, ""); Branch (qs, "")]
+ | _ ->
+ let text =
+ Printf.sprintf "UNEXPANDED %s %u" cmethod (List.length cargs)
+ in [Note text]
+
+and mk_subproofs cargs =
+ let mk_subproof proofs = function
+ | C.ArgProof ({C.proof_name = Some n} as p) ->
+ (Note n :: mk_proof p) :: proofs
+ | C.ArgProof ({C.proof_name = None} as p) ->
+ (Note "" :: mk_proof p) :: proofs
+ | _ -> proofs
+ in
+ List.rev (List.fold_left mk_subproof [] cargs)
+
+let mk_obj ids_to_inner_sorts prefix (_, params, xmenv, obj) =
+ if List.length params > 0 || xmenv <> None then assert false;
+ match obj with
+ | `Def (C.Const, t, `Proof ({C.proof_name = Some name} as p)) ->
+ Theorem (name, t, "") :: mk_proof p @ [Qed ""]
+ | _ -> assert false
+