let rewrite_tac ~direction ~pattern equality =
- let rewrite_tac ~direction ~pattern equality status =
-(*
+ let rewrite_tac ~direction ~pattern:(wanted,hyps_pat,concl_pat) equality status
+ =
let module C = Cic in
let module U = UriManager in
let module PET = ProofEngineTypes in
let module PEH = ProofEngineHelpers in
let module PT = PrimitiveTactics in
let module HLO = HelmLibraryObjects in
+ assert (wanted = None); (* this should be checked syntactically *)
+ assert (hyps_pat = []); (*CSC: not implemented yet! *)
let proof,goal = status in
- let if_left a b =
+ let if_right_to_left a b =
match direction with
- | `Right -> b
- | `Left -> a
+ | `RightToLeft -> a
+ | `LeftToRight -> b
in
let curi, metasenv, pbo, pty = proof in
- let metano, context, gty = CicUtil.lookup_meta goal metasenv in
+ let (metano,context,gty) as conjecture = CicUtil.lookup_meta goal metasenv in
let eq_uri = HLO.Logic.eq_URI in
let ty_eq,_ =
CicTypeChecker.type_of_aux' metasenv context equality
match ty_eq with
| C.Appl [C.MutInd (uri, 0, []); ty; t1; t2] when U.eq uri eq_uri ->
let eq_ind =
- C.Const (if_left HLO.Logic.eq_ind_URI HLO.Logic.eq_ind_r_URI,[])
+ C.Const (if_right_to_left HLO.Logic.eq_ind_URI HLO.Logic.eq_ind_r_URI,[])
in
- if_left (eq_ind, ty, t2, t1) (eq_ind, ty, t1, t2)
- | _ -> raise (PET.Fail "Rewrite: argument is not a proof of an equality")
- in
- (* now we always do as if direction was `Left *)
- let gty' = CicSubstitution.lift 1 gty in
- let t1' = CicSubstitution.lift 1 t1 in
- let eq_kind, what =
- match where with
- | None
- | Some ([], None) ->
- PER.alpha_equivalence, [t1']
- | Some (hp_paths, goal_path) ->
- assert (hp_paths = []);
- match goal_path with
- | None -> assert false (* (==), [t1'] *)
- | Some path ->
- let roots = ProofEngineHelpers.select ~term:gty' ~pattern:path in
- let subterms =
- List.fold_left (
- fun acc (i, r) ->
- let wanted = CicSubstitution.lift (List.length i) t1' in
- PEH.find_subterms ~eq:PER.alpha_equivalence ~wanted r @ acc
- ) [] roots
- in
- (==), subterms
- in
- let with_what =
- let rec aux = function
- | 0 -> []
- | n -> C.Rel 1 :: aux (n-1)
- in
- aux (List.length what)
- in
- let gty'' =
- ProofEngineReduction.replace_lifting_csc 0
- ~equality:eq_kind ~what ~with_what ~where:gty'
- in
- let gty_red = CicSubstitution.subst t2 gty'' in
- let fresh_meta = ProofEngineHelpers.new_meta_of_proof proof in
- let irl =CicMkImplicit.identity_relocation_list_for_metavariable context in
- let metasenv' = (fresh_meta,context,gty_red)::metasenv in
+ if_right_to_left (eq_ind, ty, t2, t1) (eq_ind, ty, t1, t2)
+ | _ -> raise (PET.Fail "Rewrite: argument is not a proof of an equality") in
+ (* now we always do as if direction was `LeftToRight *)
let fresh_name =
FreshNamesGenerator.mk_fresh_name
- ~subst:[] metasenv context C.Anonymous ~typ:ty
- in
- let pred = C.Lambda (fresh_name, ty, gty'') in
+ ~subst:[] metasenv context C.Anonymous ~typ:ty in
+ let lifted_t1 = CicSubstitution.lift 1 t1 in
+ let lifted_gty = CicSubstitution.lift 1 gty in
+ let lifted_conjecture =
+ metano,(Some (fresh_name,Cic.Decl ty))::context,lifted_gty in
+ let lifted_pattern = Some lifted_t1,[],CicSubstitution.lift 1 concl_pat in
+ let _,selected_terms_with_context =
+ ProofEngineHelpers.select
+ ~metasenv ~conjecture:lifted_conjecture ~pattern:lifted_pattern in
+ let what,with_what =
+ (* Note: Rel 1 does not live in the context context_of_t *)
+ (* The replace_lifting_csc_0 function will take care of lifting it *)
+ (* to context_of_t *)
+ List.fold_right
+ (fun (context_of_t,t) (l1,l2) -> t::l1, Cic.Rel 1::l2)
+ selected_terms_with_context ([],[]) in
+ let abstr_gty =
+ ProofEngineReduction.replace_lifting_csc 0
+ ~equality:(==) ~what ~with_what:with_what ~where:lifted_gty in
+ let gty' = CicSubstitution.subst t2 abstr_gty in
+ let fresh_meta = ProofEngineHelpers.new_meta_of_proof proof in
+ let irl = CicMkImplicit.identity_relocation_list_for_metavariable context in
+ let metasenv' = (fresh_meta,context,gty')::metasenv in
+ let pred = C.Lambda (fresh_name, ty, abstr_gty) in
let exact_proof =
C.Appl [eq_ind ; ty ; t2 ; pred ; C.Meta (fresh_meta,irl) ; t1 ;equality]
in
in
assert (List.length goals = 0) ;
(proof',[fresh_meta])
- ProofEngineTypes.mk_tactic (rewrite_tac ?where ~term)
-*) assert false in
- ProofEngineTypes.mk_tactic (rewrite_tac ~direction ~pattern equality)
+ in
+ ProofEngineTypes.mk_tactic (rewrite_tac ~direction ~pattern equality)
let rewrite_simpl_tac ~direction ~pattern equality =
let rewrite_simpl_tac ~direction ~pattern equality status =
ProofEngineTypes.apply_tactic
(Tacticals.then_
- ~start:(rewrite_tac ~direction:`LeftToRight ~pattern equality)
+ ~start:(rewrite_tac ~direction ~pattern equality)
~continuation:
(ReductionTactics.simpl_tac
~pattern:(ProofEngineTypes.conclusion_pattern None)))