(* and [bo] = Lambda/LetIn [context].(Meta [newmeta]) *)
(* So, lambda_abstract is the core of the implementation of *)
(* the Intros tactic. *)
-let lambda_abstract context newmeta ty mk_fresh_name =
+let lambda_abstract metasenv context newmeta ty mk_fresh_name =
let module C = Cic in
let rec collect_context context =
function
C.Cast (te,_) -> collect_context context te
| C.Prod (n,s,t) ->
- let n' = mk_fresh_name context n ~typ:s in
+ let n' = mk_fresh_name metasenv context n ~typ:s in
let (context',ty,bo) =
collect_context ((Some (n',(C.Decl s)))::context) t
in
(context',ty,C.Lambda(n',s,bo))
| C.LetIn (n,s,t) ->
let (context',ty,bo) =
- collect_context ((Some (n,(C.Def s)))::context) t
+ collect_context ((Some (n,(C.Def (s,None))))::context) t
in
(context',ty,C.LetIn(n,s,bo))
| _ as t ->
- let irl = identity_relocation_list_for_metavariable context in
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable context
+ in
context, t, (C.Meta (newmeta,irl))
in
collect_context context ty
C.Var (uri,exp_named_subst')
| C.Meta _
| C.Sort _
- | C.Implicit as t -> t
+ | C.Implicit _ as t -> t
| C.Cast (te,ty) -> C.Cast (aux n te, aux n ty)
| C.Prod (nn,s,t) -> C.Prod (nn, aux n s, aux (n+1) t)
| C.Lambda (nn,s,t) -> C.Lambda (nn, aux n s, aux (n+1) t)
T.type_of_aux' metasenv context arg
in
let fresh_name =
- ProofEngineHelpers.mk_fresh_name context (Cic.Name "Heta") ~typ:argty
+ FreshNamesGenerator.mk_fresh_name
+ metasenv context (Cic.Name "Heta") ~typ:argty
in
(C.Appl [C.Lambda (fresh_name,argty,aux 0 t) ; arg])
match entry with
Some (n,Cic.Decl s) ->
Some (n,Cic.Decl (subst_in canonical_context' s))
- | Some (n,Cic.Def s) ->
- Some (n,Cic.Def (subst_in canonical_context' s))
+ | Some (n,Cic.Def (s,None)) ->
+ Some (n,Cic.Def ((subst_in canonical_context' s),None))
| None -> None
+ | Some (_,Cic.Def (_,Some _)) -> assert false
in
entry'::canonical_context'
) canonical_context []
function
C.Cast (he,_) -> aux newmeta he
| C.Prod (name,s,t) ->
- let irl = identity_relocation_list_for_metavariable context in
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable context
+ in
let newargument = C.Meta (newmeta,irl) in
let (res,newmetasenv,arguments,lastmeta) =
aux (newmeta + 1) (S.subst newargument t)
CicSubstitution.subst_vars !exp_named_subst_diff ty
| _ -> raise (WrongUriToVariable (UriManager.string_of_uri uri))
in
- let irl = identity_relocation_list_for_metavariable context in
+ let irl =
+ CicMkImplicit.identity_relocation_list_for_metavariable context
+ in
let subst_item = uri,C.Meta (!next_fresh_meta,irl) in
newmetasenvfragment :=
(!next_fresh_meta,context,ty)::!newmetasenvfragment ;
let module R = CicReduction in
let module C = Cic in
let (_,metasenv,_,_) = proof in
- let metano,context,ty = List.find (function (m,_,_) -> m=goal) metasenv in
- let newmeta = new_meta ~proof in
+ let metano,context,ty = CicUtil.lookup_meta goal metasenv in
+ let newmeta = new_meta_of_proof ~proof in
let exp_named_subst_diff,newmeta',newmetasenvfragment,term' =
match term with
C.Var (uri,exp_named_subst) ->
| _ -> [],newmeta,[],term
in
let metasenv' = metasenv@newmetasenvfragment in
-prerr_endline ("^^^^^TERM': " ^ CicPp.ppterm term') ;
let termty =
CicSubstitution.subst_vars exp_named_subst_diff
(CicTypeChecker.type_of_aux' metasenv' context term)
in
-prerr_endline ("^^^^^TERMTY: " ^ CicPp.ppterm termty) ;
(* newmeta is the lowest index of the new metas introduced *)
let (consthead,newmetas,arguments,_) =
new_metasenv_for_apply newmeta' proof context termty
CicUnification.fo_unif newmetasenv context consthead ty
in
let in_subst_domain i = List.exists (function (j,_) -> i=j) subst in
- let apply_subst = CicUnification.apply_subst subst in
+ let apply_subst = CicMetaSubst.apply_subst subst in
let old_uninstantiatedmetas,new_uninstantiatedmetas =
(* subst_in doesn't need the context. Hence the underscore. *)
- let subst_in _ = CicUnification.apply_subst subst in
+ let subst_in _ = CicMetaSubst.apply_subst subst in
classify_metas newmeta in_subst_domain subst_in newmetasenv'
in
let bo' =
prerr_endline ("XXXX " ^ CicPp.ppterm (if List.length newmetas = 0 then term' else Cic.Appl (term'::arguments)) ^ " |>>> " ^ CicPp.ppterm bo') ;
let newmetasenv'' = new_uninstantiatedmetas@old_uninstantiatedmetas in
let (newproof, newmetasenv''') =
- let subst_in = CicUnification.apply_subst ((metano,bo')::subst) in
+ let subst_in = CicMetaSubst.apply_subst ((metano,bo')::subst) in
subst_meta_and_metasenv_in_proof
proof metano subst_in newmetasenv''
in
try
apply_tac ~term ~status
(* TODO cacciare anche altre eccezioni? *)
- with CicUnification.UnificationFailed as e ->
+ with CicUnification.UnificationFailure _ as e ->
raise (Fail (Printexc.to_string e))
let intros_tac
- ?(mk_fresh_name_callback = ProofEngineHelpers.mk_fresh_name) ()
+ ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name) ()
~status:(proof, goal)
=
let module C = Cic in
let module R = CicReduction in
let (_,metasenv,_,_) = proof in
- let metano,context,ty = List.find (function (m,_,_) -> m=goal) metasenv in
- let newmeta = new_meta ~proof in
+ let metano,context,ty = CicUtil.lookup_meta goal metasenv in
+ let newmeta = new_meta_of_proof ~proof in
let (context',ty',bo') =
- lambda_abstract context newmeta ty mk_fresh_name_callback
+ lambda_abstract metasenv context newmeta ty mk_fresh_name_callback
in
let (newproof, _) =
subst_meta_in_proof proof metano bo' [newmeta,context',ty']
(newproof, [newmeta])
let cut_tac
- ?(mk_fresh_name_callback = ProofEngineHelpers.mk_fresh_name)
+ ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name)
term ~status:(proof, goal)
=
let module C = Cic in
let curi,metasenv,pbo,pty = proof in
- let metano,context,ty = List.find (function (m,_,_) -> m=goal) metasenv in
- let newmeta1 = new_meta ~proof in
+ let metano,context,ty = CicUtil.lookup_meta goal metasenv in
+ let newmeta1 = new_meta_of_proof ~proof in
let newmeta2 = newmeta1 + 1 in
let fresh_name =
- mk_fresh_name_callback context (Cic.Name "Hcut") ~typ:term in
+ mk_fresh_name_callback metasenv context (Cic.Name "Hcut") ~typ:term in
let context_for_newmeta1 =
(Some (fresh_name,C.Decl term))::context in
let irl1 =
- identity_relocation_list_for_metavariable context_for_newmeta1 in
- let irl2 = identity_relocation_list_for_metavariable context in
+ CicMkImplicit.identity_relocation_list_for_metavariable
+ context_for_newmeta1
+ in
+ let irl2 =
+ CicMkImplicit.identity_relocation_list_for_metavariable context
+ in
let newmeta1ty = CicSubstitution.lift 1 ty in
let bo' =
C.Appl
(newproof, [newmeta1 ; newmeta2])
let letin_tac
- ?(mk_fresh_name_callback = ProofEngineHelpers.mk_fresh_name)
+ ?(mk_fresh_name_callback = FreshNamesGenerator.mk_fresh_name)
term ~status:(proof, goal)
=
let module C = Cic in
let curi,metasenv,pbo,pty = proof in
- let metano,context,ty = List.find (function (m,_,_) -> m=goal) metasenv in
+ let metano,context,ty = CicUtil.lookup_meta goal metasenv in
let _ = CicTypeChecker.type_of_aux' metasenv context term in
- let newmeta = new_meta ~proof in
+ let newmeta = new_meta_of_proof ~proof in
let fresh_name =
- mk_fresh_name_callback context (Cic.Name "Hletin") ~typ:term in
+ mk_fresh_name_callback metasenv context (Cic.Name "Hletin") ~typ:term in
let context_for_newmeta =
- (Some (fresh_name,C.Def term))::context in
+ (Some (fresh_name,C.Def (term,None)))::context in
let irl =
- identity_relocation_list_for_metavariable context_for_newmeta in
+ CicMkImplicit.identity_relocation_list_for_metavariable
+ context_for_newmeta
+ in
let newmetaty = CicSubstitution.lift 1 ty in
let bo' = C.LetIn (fresh_name,term,C.Meta (newmeta,irl)) in
let (newproof, _) =
let exact_tac ~term ~status:(proof, goal) =
(* Assumption: the term bo must be closed in the current context *)
let (_,metasenv,_,_) = proof in
- let metano,context,ty = List.find (function (m,_,_) -> m=goal) metasenv in
+ let metano,context,ty = CicUtil.lookup_meta goal metasenv in
let module T = CicTypeChecker in
let module R = CicReduction in
if R.are_convertible context (T.type_of_aux' metasenv context term) ty then
let module R = CicReduction in
let module C = Cic in
let (curi,metasenv,_,_) = proof in
- let metano,context,ty = List.find (function (m,_,_) -> m=goal) metasenv in
+ let metano,context,ty = CicUtil.lookup_meta goal metasenv in
let termty = T.type_of_aux' metasenv context term in
let uri,exp_named_subst,typeno,args =
match termty with
match T.type_of_aux' metasenv context ty with
C.Sort C.Prop -> "_ind"
| C.Sort C.Set -> "_rec"
+ | C.Sort C.CProp -> "_rec"
| C.Sort C.Type -> "_rect"
| _ -> assert false
in
in
let eliminator_ref = C.Const (eliminator_uri,exp_named_subst) in
let ety = T.type_of_aux' metasenv context eliminator_ref in
- let newmeta = new_meta ~proof in
+ let newmeta = new_meta_of_proof ~proof in
let (econclusion,newmetas,arguments,lastmeta) =
new_metasenv_for_apply newmeta proof context ety
in
(* way. *)
let meta_of_corpse =
let (_,canonical_context,_) =
- List.find (function (m,_,_) -> m=(lastmeta - 1)) newmetas
+ CicUtil.lookup_meta (lastmeta - 1) newmetas
in
let irl =
- identity_relocation_list_for_metavariable canonical_context
+ CicMkImplicit.identity_relocation_list_for_metavariable
+ canonical_context
in
Cic.Meta (lastmeta - 1, irl)
in
let subst1,newmetasenv' =
CicUnification.fo_unif newmetasenv context term meta_of_corpse
in
- let ueconclusion = CicUnification.apply_subst subst1 econclusion in
+ let ueconclusion = CicMetaSubst.apply_subst subst1 econclusion in
(* The conclusion of our elimination principle is *)
(* (?i farg1 ... fargn) *)
(* The conclusion of our goal is ty. So, we can *)
| C.Meta (emeta,_) -> emeta,[]
| _ -> raise NotTheRightEliminatorShape
in
- let ty' = CicUnification.apply_subst subst1 ty in
+ let ty' = CicMetaSubst.apply_subst subst1 ty in
let eta_expanded_ty =
(*CSC: newmetasenv' era metasenv ??????????? *)
List.fold_left (eta_expand newmetasenv' context) ty' fargs
(* beta-reduction. apply_subst doesn't need the context. Hence *)
(* the underscore. *)
let apply_subst _ t =
- let t' = CicUnification.apply_subst subst1 t in
- CicUnification.apply_subst_reducing
- subst2 (Some (emeta,List.length fargs)) t'
+ let t' = CicMetaSubst.apply_subst subst1 t in
+ CicMetaSubst.apply_subst_reducing
+ (Some (emeta,List.length fargs)) subst2 t'
in
let old_uninstantiatedmetas,new_uninstantiatedmetas =
classify_metas newmeta in_subst_domain apply_subst
(*CSC: Nota: sostituire nuovamente subst1 e' superfluo, *)
(*CSC: no? *)
let apply_subst' t =
- let t' = CicUnification.apply_subst subst1 t in
- CicUnification.apply_subst_reducing
- ((metano,bo')::subst2)
- (Some (emeta,List.length fargs)) t'
+ let t' = CicMetaSubst.apply_subst subst1 t in
+ CicMetaSubst.apply_subst_reducing
+ (Some (emeta,List.length fargs))
+ ((metano,bo')::subst2) t'
in
subst_meta_and_metasenv_in_proof
proof metano apply_subst' newmetasenv'''
(*CSC: Is that evident? Is that right? Or should it be changed? *)
let change_tac ~what ~with_what ~status:(proof, goal) =
let curi,metasenv,pbo,pty = proof in
- let metano,context,ty = List.find (function (m,_,_) -> m=goal) metasenv in
+ let metano,context,ty = CicUtil.lookup_meta goal metasenv in
(* are_convertible works only on well-typed terms *)
ignore (CicTypeChecker.type_of_aux' metasenv context with_what) ;
if CicReduction.are_convertible context what with_what then
let context' =
List.map
(function
- Some (name,Cic.Def t) -> Some (name,Cic.Def (replace t))
+ Some (name,Cic.Def (t,None)) -> Some (name,Cic.Def ((replace t),None))
| Some (name,Cic.Decl t) -> Some (name,Cic.Decl (replace t))
| None -> None
+ | Some (_,Cic.Def (_,Some _)) -> assert false
) context
in
let metasenv' =