Lemma between_expf_B0_1:forall (m:fmap)(x:dart)(i:nat), inv_hmap m -> succ m zero x -> let x0 := cA m zero x in let x_1:= cA_1 m one x in let xb0:= bottom m zero x in let p:= MF.Iter_upb m x_1 in let z:= Iter (cF m) i x_1 in ~expf m x0 xb0 -> (i < p)%nat -> expf (B m zero x) x_1 z.