simp only [hxx]
case pos
w : ℂ
hw : ¬w = 1 ∧ 0 < w.re
w_im : w.im = 0
f : ℝ → ℂ := fun t => w * ↑t + (1 + I) * (1 - ↑t)
cont : Continuous f
x : ℝ
hx : 0 ≤ x ∧ x ≤ 1
hxx : x = 0
⊢ 0 < w.re * x + (1 - x)
case pos
w : ℂ
hw : ¬w = 1 ∧ 0 < w.re
w_im : w.im = 0
f : ℝ → ℂ := fun t => w * ↑t + (1 + I) * (1 - ↑t)
cont : Continuous f
x : ℝ
hx : 0 ≤ x ∧ x ≤ 1
hxx : x = 0
⊢ 0 < w.re * 0 + (1 - 0)