have g := unit_zpow_zero_mod_three
a b c : ℤθ
k : ℤ
w : ↑(unit ^ (3 * k + 1)) = ↑(unit ^ (3 * k)) * ↑(unit ^ 1)
⊢ (↑(unit ^ (3 * k + 1))).f % 3 = 2 ∧ (↑(unit ^ (3 * k + 1))).g % 3 = 0 ∧ (↑(unit ^ (3 * k + 1))).h % 3 = 2
a b c : ℤθ
k : ℤ
w : ↑(unit ^ (3 * k + 1)) = ↑(unit ^ (3 * k)) * ↑(unit ^ 1)
g : ∀ (k : ℤ), (↑(unit ^ (3 * k))).f % 3 = 1 ∧ (↑(unit ^ (3 * k))).g % 3 = 0 ∧ (↑(unit ^ (3 * k))).h % 3 = 0
⊢ (↑(unit ^ (3 * k + 1))).f % 3 = 2 ∧ (↑(unit ^ (3 * k + 1))).g % 3 = 0 ∧ (↑(unit ^ (3 * k + 1))).h % 3 = 2