rw [← Complex.cpow_add _ _ (by exact slitPlane_ne_zero (Or.inl hx))]
case h
𝕂 : Type u_1
inst✝ : _root_.RCLike 𝕂
Ψ : ℝ → ℝ
ε : ℝ
εpos : ε > 0
s : ℂ
x : ℝ
hx : x ∈ Ioi 0
log_x_real : (↑x).log.im = 0
⊢ ↑x ^ (1 * s - 1 / ↑ε) * ↑x ^ (1 / ↑ε - 1) * (1 / ↑ε) * ↑(Ψ (x ^ (1 / ε))) = ↑(Ψ (x ^ (1 / ε))) * (↑ε)⁻¹ * ↑x ^ (s - 1)
case h
𝕂 : Type u_1
inst✝ : _root_.RCLike 𝕂
Ψ : ℝ → ℝ
ε : ℝ
εpos : ε > 0
s : ℂ
x : ℝ
hx : x ∈ Ioi 0
log_x_real : (↑x).log.im = 0
⊢ ↑x ^ (1 * s - 1 / ↑ε + (1 / ↑ε - 1)) * (1 / ↑ε) * ↑(Ψ (x ^ (1 / ε))) = ↑(Ψ (x ^ (1 / ε))) * (↑ε)⁻¹ * ↑x ^ (s - 1)