Lemma expf_B0_CS_1_b_aux:forall (m:fmap)(x z t:dart), inv_hmap m -> succ m zero x -> exd m z -> exd m t -> let x0 := cA m zero x in let xb0 := bottom m zero x in let xh0 := top m zero x in let xh0_1 := cA_1 m one xh0 in expf m x0 xb0 -> (betweenf m xh0_1 z x0 /\ betweenf m xh0_1 t x0) -> expf (B m zero x) z t.