rw [p]
case left.succ.intro.intro
a b✝ c : ℤθ
b : ℕ
h1 : (↑(unit ^ (3 * ↑b))).f % 3 = 1
h2 : (↑(unit ^ (3 * ↑b))).g % 3 = 0
h3 : (↑(unit ^ (3 * ↑b))).h % 3 = 0
p : Nat.succ b = b + 1
⊢ (↑(unit ^ (3 * ↑(Nat.succ b)))).f % 3 = 1 ∧
    (↑(unit ^ (3 * ↑(Nat.succ b)))).g % 3 = 0 ∧ (↑(unit ^ (3 * ↑(Nat.succ b)))).h % 3 = 0
case left.succ.intro.intro
a b✝ c : ℤθ
b : ℕ
h1 : (↑(unit ^ (3 * ↑b))).f % 3 = 1
h2 : (↑(unit ^ (3 * ↑b))).g % 3 = 0
h3 : (↑(unit ^ (3 * ↑b))).h % 3 = 0
p : Nat.succ b = b + 1
⊢ (↑(unit ^ (3 * ↑(b + 1)))).f % 3 = 1 ∧ (↑(unit ^ (3 * ↑(b + 1)))).g % 3 = 0 ∧ (↑(unit ^ (3 * ↑(b + 1)))).h % 3 = 0