ext x
case e_a
n : ℕ
f : Bump ℝ
K : Set ℝ
hK : IsCompact K
⊢ (fun x => ↑(absNthDeriv n f x)) '' K = (fun a => ↑a) '' (absNthDeriv n f '' K)
case e_a.h
n : ℕ
f : Bump ℝ
K : Set ℝ
hK : IsCompact K
x : ENNReal
⊢ x ∈ (fun x => ↑(absNthDeriv n f x)) '' K ↔ x ∈ (fun a => ↑a) '' (absNthDeriv n f '' K)