(**************************************************************************)
include "delayed_updating/syntax/path.ma".
+include "ground/arith/nat_succ.ma".
include "ground/notation/functions/verticalbars_1.ma".
(* DEPTH FOR PATH ***********************************************************)
-rec definition depth (p) on p: pnat ≝
+rec definition depth (p) on p: nat ≝
match p with
-[ list_empty â\87\92 ð\9d\9f\8f
+[ list_empty â\87\92 ð\9d\9f\8e
| list_lcons l q ⇒
match l with
[ label_d _ ⇒ depth q
(* Basic constructions ******************************************************)
-lemma depth_empty: ð\9d\9f\8f = ❘𝐞❘.
+lemma depth_empty: ð\9d\9f\8e = ❘𝐞❘.
// qed.
lemma depth_d (q) (n): ❘q❘ = ❘𝗱n◗q❘.