(* OK: CASE ~expf m x0 xb0 *)

(* Specifications: *)
Lemma expf_B0_CS_2_b_ind:forall (m:fmap)(x z:dart)(i:nat),
inv_hmap m -> succ m zero x -> exd m z ->
let x0 := cA m zero x in
let x_1:= cA_1 m one 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 ->
let t:=Iter (cF m) i z in
~expf m x_1 z -> ~expf m xh0_1 z
-> expf (B m zero x) z t.
Lemma expf_B0_CS_2_b:forall (m:fmap)(x z t:dart),
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 xh0:= top m zero x in
let xh0_1:= cA_1 m one xh0 in
~expf m x0 xb0 -> expf m z t ->
~expf m x_1 z -> ~expf m xh0_1 z
-> expf (B m zero x) z t.