(*========================================================== ============================================================ 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: *)
(* OK: *)
(* LEMMA, USEFUL: *)
(*=========================================================== cF, expf on L and B ============================================================*)
(* OK, TRIVIAL: USEFUL? *)
(*========================================================= cF / L, expf / L, CNS ===========================================================*)
(* expf IS AN EQUIVALENCE (NEW PLACE): *)
(* OK!: *)
(* OK: *)
(* OK: *)
(* OK: *)

Lemma expf_L0_x0_y_0_1:forall (m:fmap)(x y:dart),
inv_hmap (L m zero x y) ->
let x0 := cA m zero x in
let y_0_1 := cF m y in
expf (L m zero x y) x0 y_0_1.