lift_from 1 n t
;;
+(* delifts a term t of n levels strating from k, that is changes (Rel m)
+ * to (Rel (m - n)) when m > (k + n). if k <= m < k + n delift fails
+ *)
+let delift_from k n =
+ let rec liftaux k =
+ let module C = Cic in
+ function
+ C.Rel m ->
+ if m < k then
+ C.Rel m
+ else if m < k + n then
+ (failwith "delifting this term whould capture free variables")
+ else
+ C.Rel (m - n)
+ | C.Var (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,liftaux k t)) exp_named_subst
+ in
+ C.Var (uri,exp_named_subst')
+ | C.Meta (i,l) ->
+ let l' =
+ List.map
+ (function
+ None -> None
+ | Some t -> Some (liftaux k t)
+ ) l
+ in
+ C.Meta(i,l')
+ | C.Sort _ as t -> t
+ | C.Implicit _ as t -> t
+ | C.Cast (te,ty) -> C.Cast (liftaux k te, liftaux k ty)
+ | C.Prod (n,s,t) -> C.Prod (n, liftaux k s, liftaux (k+1) t)
+ | C.Lambda (n,s,t) -> C.Lambda (n, liftaux k s, liftaux (k+1) t)
+ | C.LetIn (n,s,t) -> C.LetIn (n, liftaux k s, liftaux (k+1) t)
+ | C.Appl l -> C.Appl (List.map (liftaux k) l)
+ | C.Const (uri,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,liftaux k t)) exp_named_subst
+ in
+ C.Const (uri,exp_named_subst')
+ | C.MutInd (uri,tyno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,liftaux k t)) exp_named_subst
+ in
+ C.MutInd (uri,tyno,exp_named_subst')
+ | C.MutConstruct (uri,tyno,consno,exp_named_subst) ->
+ let exp_named_subst' =
+ List.map (function (uri,t) -> (uri,liftaux k t)) exp_named_subst
+ in
+ C.MutConstruct (uri,tyno,consno,exp_named_subst')
+ | C.MutCase (sp,i,outty,t,pl) ->
+ C.MutCase (sp, i, liftaux k outty, liftaux k t,
+ List.map (liftaux k) pl)
+ | C.Fix (i, fl) ->
+ let len = List.length fl in
+ let liftedfl =
+ List.map
+ (fun (name, i, ty, bo) -> (name, i, liftaux k ty, liftaux (k+len) bo))
+ fl
+ in
+ C.Fix (i, liftedfl)
+ | C.CoFix (i, fl) ->
+ let len = List.length fl in
+ let liftedfl =
+ List.map
+ (fun (name, ty, bo) -> (name, liftaux k ty, liftaux (k+len) bo))
+ fl
+ in
+ C.CoFix (i, liftedfl)
+ in
+ liftaux k
+
+let delift n t =
+ delift_from 1 n t
+
let subst arg =
let rec substaux k =
let module C = Cic in