* 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,_ =
+ 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 =
FreshNamesGenerator.mk_fresh_name
- ~subst:[] metasenv context C.Anonymous ~typ:ty 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 =
+ let subst,metasenv',ugraph,_,selected_terms_with_context =
ProofEngineHelpers.select
- ~metasenv ~conjecture:lifted_conjecture ~pattern:lifted_pattern in
+ ~metasenv: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 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]
(PT.exact_tac ~term:exact_proof) ((curi,metasenv',pbo,pty),goal)
in
assert (List.length goals = 0) ;
- (proof',[fresh_meta])
+ let goals =
+ ProofEngineHelpers.compare_metasenvs ~oldmetasenv:metasenv
+ ~newmetasenv:metasenv'
+ in
+ (proof',goals)
in
ProofEngineTypes.mk_tactic (rewrite_tac ~direction ~pattern equality)
let module U = UriManager in
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 uri,metasenv,pbo,pty = proof 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 =
- ProofEngineHelpers.select ~metasenv ~conjecture ~pattern in
+ let subst,metasenv,u,_,selected_terms_with_context =
+ ProofEngineHelpers.select ~metasenv ~ugraph:CicUniv.empty_ugraph
+ ~conjecture ~pattern in
+ let metasenv = CicMetaSubst.apply_subst_metasenv subst metasenv in
+ let with_what = CicMetaSubst.apply_subst subst with_what in
+ let pbo = CicMetaSubst.apply_subst subst pbo in
+ let pty = CicMetaSubst.apply_subst subst pty in
+ let status = (uri,metasenv,pbo,pty),goal in
let ty_of_with_what,u =
CicTypeChecker.type_of_aux'
metasenv context with_what CicUniv.empty_ugraph in
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
projects / helm.git / blobdiff