* http://cs.unibo.it/helm/.
*)
-
let rewrite_tac ~direction ~pattern equality =
let rewrite_tac ~direction ~pattern:(wanted,hyps_pat,concl_pat) equality status
=
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,_ =
CicTypeChecker.type_of_aux' metasenv context equality
CicUniv.empty_ugraph
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 module P = PrimitiveTactics in
let module T = Tacticals in
let _,metasenv,_,_ = proof in
- let (_,context,_) as conjecture = CicUtil.lookup_meta goal metasenv in
+ let (_,context,ty) as conjecture = CicUtil.lookup_meta goal metasenv in
assert (hyps_pat = []); (*CSC: not implemented yet *)
let context_len = List.length context in
let _,selected_terms_with_context =
CicUniv.empty_ugraph in
let b,u = CicReduction.are_convertible ~metasenv context
ty_of_with_what ty_of_t_in_context u in
- if b then t_in_context
+ if b then
+ let concl_pat_for_t = ProofEngineHelpers.pattern_of ~term:ty [t] in
+ let pattern_for_t = None,[],concl_pat_for_t in
+ t_in_context,pattern_for_t
else
raise
(ProofEngineTypes.Fail
"Replace: one of the selected terms and the term to be replaced with have not convertible types")
- ) l
- in
- let rec aux whats status =
- match whats with
- [] -> ProofEngineTypes.apply_tactic T.id_tac status
- | what::tl ->
- ProofEngineTypes.apply_tactic
- (T.thens
- ~start:(
- P.cut_tac
- (C.Appl [
- (C.MutInd (HelmLibraryObjects.Logic.eq_URI, 0, [])) ;
- ty_of_with_what ;
- what ;
- with_what]))
- ~continuations:[
- T.then_
- ~start:(
- rewrite_simpl_tac ~direction:`LeftToRight ~pattern (C.Rel 1))
- ~continuation:(
- let hyp =
- try
- match List.hd context with
- Some (Cic.Name name,_) -> name
- | _ -> assert false
- with (Failure "hd") -> assert false
- in
- ProofEngineStructuralRules.clear ~hyp) ;
- aux_tac tl])
- status
- and aux_tac tl = ProofEngineTypes.mk_tactic (aux tl) in
- aux whats status
+ ) l in
+ let rec aux n whats status =
+ match whats with
+ [] -> ProofEngineTypes.apply_tactic T.id_tac status
+ | (what,pattern)::tl ->
+ let what = CicSubstitution.lift n what in
+ let with_what = CicSubstitution.lift n with_what in
+ let ty_of_with_what = CicSubstitution.lift n ty_of_with_what in
+ ProofEngineTypes.apply_tactic
+ (T.thens
+ ~start:(
+ P.cut_tac
+ (C.Appl [
+ (C.MutInd (LibraryObjects.eq_URI, 0, [])) ;
+ ty_of_with_what ;
+ what ;
+ with_what]))
+ ~continuations:[
+ T.then_
+ ~start:(
+ rewrite_tac ~direction:`LeftToRight ~pattern (C.Rel 1))
+ ~continuation:(
+ T.then_
+ ~start:(
+ ProofEngineTypes.mk_tactic
+ (function ((proof,goal) as status) ->
+ let _,metasenv,_,_ = proof in
+ let _,context,_ = CicUtil.lookup_meta goal metasenv in
+ let hyp =
+ try
+ match List.hd context with
+ Some (Cic.Name name,_) -> name
+ | _ -> assert false
+ with (Failure "hd") -> assert false
+ in
+ ProofEngineTypes.apply_tactic
+ (ProofEngineStructuralRules.clear ~hyp) status))
+ ~continuation:(aux_tac (n + 1) tl));
+ T.id_tac])
+ status
+ and aux_tac n tl = ProofEngineTypes.mk_tactic (aux n tl) in
+ aux 0 whats status
in
ProofEngineTypes.mk_tactic (replace_tac ~pattern ~with_what)
;;
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