constructor
m n q p : ℕ
h : m • Nat.factorization 2 + n • Nat.factorization 3 = p • Nat.factorization 2 + q • Nat.factorization 3
⊢ m = p ∧ n = q
case left
m n q p : ℕ
h : m • Nat.factorization 2 + n • Nat.factorization 3 = p • Nat.factorization 2 + q • Nat.factorization 3
⊢ m = p

case right
m n q p : ℕ
h : m • Nat.factorization 2 + n • Nat.factorization 3 = p • Nat.factorization 2 + q • Nat.factorization 3
⊢ n = q