norm_num
case mk.mk
c : ℤα
z✝¹ w✝¹ z✝ w✝ : ℤ
⊢ ↑(z✝¹ * z✝ - 2 * w✝¹ * w✝) + ↑(z✝¹ * w✝ + w✝¹ * z✝ + w✝¹ * w✝) * complexα =
    (↑z✝¹ + ↑w✝¹ * complexα) * (↑z✝ + ↑w✝ * complexα)
case mk.mk
c : ℤα
z✝¹ w✝¹ z✝ w✝ : ℤ
⊢ ↑z✝¹ * ↑z✝ - 2 * ↑w✝¹ * ↑w✝ + (↑z✝¹ * ↑w✝ + ↑w✝¹ * ↑z✝ + ↑w✝¹ * ↑w✝) * complexα =
    (↑z✝¹ + ↑w✝¹ * complexα) * (↑z✝ + ↑w✝ * complexα)