intro x hx
case pos.hyz
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
⊢ Icc 0 1 ⊆ {a | ¬w * ↑a + (1 + I) * (1 - ↑a) = 1 ∧ 0 < w.re * a + (1 - a)}
case pos.hyz
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 : x ∈ Icc 0 1
⊢ x ∈ {a | ¬w * ↑a + (1 + I) * (1 - ↑a) = 1 ∧ 0 < w.re * a + (1 - a)}