rw [primes]
n a b : ℕ
ha : Nat.sqrt (2 * n) ≤ a
⊢ ∏ p in Finset.Ioc a b, p ^ ↑(Nat.factorization (Nat.centralBinom n)) p ≤ ∏ p in primes (Finset.Ioc a b), p
n a b : ℕ
ha : Nat.sqrt (2 * n) ≤ a
⊢ ∏ p in Finset.Ioc a b, p ^ ↑(Nat.factorization (Nat.centralBinom n)) p ≤
    ∏ p in Finset.filter Nat.Prime (Finset.Ioc a b), p