exact this a.norm.natAbs rfl
a : ℤ√(-3)
hcoprime : IsCoprime a.re a.im
this :
  ∀ (n : ℕ),
    a.norm.natAbs = n →
      ∃ f, (a = f.prod ∨ a = -f.prod) ∧ ∀ pq ∈ f, 0 ≤ pq.re ∧ pq.im ≠ 0 ∧ OddPrimeOrFour pq.norm.natAbs
⊢ ∃ f, (a = f.prod ∨ a = -f.prod) ∧ ∀ pq ∈ f, 0 ≤ pq.re ∧ pq.im ≠ 0 ∧ OddPrimeOrFour pq.norm.natAbs
no goals