let module PER = ProofEngineReduction 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
in
let curi, metasenv, pbo, pty = proof in
let (metano,context,gty) as conjecture = CicUtil.lookup_meta goal metasenv in
- let eq_uri = HLO.Logic.eq_URI in
- let ty_eq,_ =
+ let ty_eq,ugraph =
CicTypeChecker.type_of_aux' metasenv context equality
- CicUniv.empty_ugraph
- in
+ CicUniv.empty_ugraph in
+ let (ty_eq,metasenv,arguments,fresh_meta) =
+ ProofEngineHelpers.saturate_term
+ (ProofEngineHelpers.new_meta_of_proof proof) metasenv context ty_eq in
+ let equality =
+ if List.length arguments = 0 then
+ equality
+ else
+ C.Appl (equality :: arguments) in
let eq_ind, ty, t1, t2 =
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_right_to_left HLO.Logic.eq_ind_URI HLO.Logic.eq_ind_r_URI,[])
+ | C.Appl [C.MutInd (uri, 0, []); ty; t1; t2]
+ when LibraryObjects.is_eq_URI uri ->
+ let ind_uri =
+ if_right_to_left LibraryObjects.eq_ind_URI LibraryObjects.eq_ind_r_URI
in
- if_right_to_left (eq_ind, ty, t2, t1) (eq_ind, ty, t1, t2)
+ let eq_ind = C.Const (ind_uri uri,[]) 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 =
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 =
+ let subst,metasenv,ugraph,_,selected_terms_with_context =
ProofEngineHelpers.select
- ~metasenv ~conjecture:lifted_conjecture ~pattern:lifted_pattern in
+ ~metasenv ~ugraph ~conjecture:lifted_conjecture ~pattern:lifted_pattern in
+ let metasenv = CicMetaSubst.apply_subst_metasenv subst metasenv 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 *)
let abstr_gty =
ProofEngineReduction.replace_lifting_csc 0
~equality:(==) ~what ~with_what:with_what ~where:lifted_gty in
+ let abstr_gty = CicMetaSubst.apply_subst subst abstr_gty in
+ let t1 = CicMetaSubst.apply_subst subst t1 in
+ let t2 = CicMetaSubst.apply_subst subst t2 in
+ let equality = CicMetaSubst.apply_subst subst equality 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 replace_tac ~pattern ~with_what =
+(*
let replace_tac ~pattern:(wanted,hyps_pat,concl_pat) ~with_what status =
let (proof, goal) = status in
let module C = Cic in
~start:(
P.cut_tac
(C.Appl [
- (C.MutInd (HelmLibraryObjects.Logic.eq_URI, 0, [])) ;
+ (C.MutInd (LibraryObjects.eq_URI (), 0, [])) ;
ty_of_with_what ;
what ;
with_what]))
aux 0 whats status
in
ProofEngineTypes.mk_tactic (replace_tac ~pattern ~with_what)
+*) assert false
;;
let metano,context,ty = CicUtil.lookup_meta goal metasenv in
match (R.whd context ty) with
(C.Appl [(C.MutInd (uri, 0, [])); _; _; _])
- when (U.eq uri HelmLibraryObjects.Logic.eq_URI) ->
+ when LibraryObjects.is_eq_URI uri ->
ProofEngineTypes.apply_tactic
(PrimitiveTactics.apply_tac
- ~term: (C.Const (HelmLibraryObjects.Logic.sym_eq_URI, [])))
+ ~term: (C.Const (LibraryObjects.sym_eq_URI uri, [])))
(proof,goal)
| _ -> raise (ProofEngineTypes.Fail "Symmetry failed")
let metano,context,ty = CicUtil.lookup_meta goal metasenv in
match (R.whd context ty) with
(C.Appl [(C.MutInd (uri, 0, [])); _; _; _])
- when (uri = HelmLibraryObjects.Logic.eq_URI) ->
+ when LibraryObjects.is_eq_URI uri ->
ProofEngineTypes.apply_tactic
(T.thens
~start:(PrimitiveTactics.apply_tac
- ~term: (C.Const (HelmLibraryObjects.Logic.trans_eq_URI, [])))
+ ~term: (C.Const (LibraryObjects.trans_eq_URI uri, [])))
~continuations:
[PrimitiveTactics.exact_tac ~term ; T.id_tac ; T.id_tac])
status