(* COROLLARY: *)

(* Specifications: *)
Lemma expf_expf_L0_2_bis:forall (m:fmap)(x y z t:dart),
inv_hmap (L m zero x y) -> exd m z ->
let x_1 := cA_1 m one x in
~ expf m x_1 y ->
~ expf m x_1 z -> ~ expf m y z -> expf m z t ->
expf (L m zero x y) z t.
Lemma expf_impl_expf_L1:forall(m:fmap)(x y z t:dart),
let m1:= L m one x y in
let y0:= cA m zero y in
inv_hmap m1 -> ~expf m x y0
-> ~expf m x z -> ~expf m y0 t ->
expf m z t -> expf m1 z t.