no goals
α : Type u_1
inst✝⁵ : CancelCommMonoidWithZero α
inst✝⁴ : DecidableEq α
inst✝³ : NormalizationMonoid α
inst✝² : UniqueFactorizationMonoid α
inst✝¹ : Nontrivial α
inst✝ : Unique αˣ
m : Multiset α
h : ∀ (p : α), p ∈ m → Prime p
⊢ normalizedFactors (Multiset.prod m) = m
simpa only [← Multiset.rel_eq, ← associated_eq_eq] using
  prime_factors_unique prime_of_normalized_factor h
    (normalizedFactors_prod (m.prod_ne_zero_of_prime h))