(*========================================================== ============================================================ TOPOLOGICAL FMAPS, HMAPS -  WITH TAGS AND EMBEDDINGS  PART 5:  characteristics, eqc, expf / L0, L_B  COMPLETE FOR DIM 0 (DIM 1 IN THE NEXT FILE): OK! ============================================================ ==========================================================*)
Require Export Jordan4.
(* OK: *)

Lemma nc_B:forall(m:fmap)(k:dim)(x:dart),
inv_hmap m -> succ m k x ->
let m0 := B m k x in
nc m0 = nc m + if eqc_dec m0 x (A m k x) then 0 else 1.