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