rw [prodPrimes, Finset.range_eq_Ico, Nat.Ico_succ_right]
n : ℕ
hn : 2 < n
⊢ ∏ p in primes (Finset.Ioc (Nat.sqrt (2 * n)) (2 * n / 3)), p ≤ prodPrimes (2 * n / 3)
n : ℕ
hn : 2 < n
⊢ ∏ p in primes (Finset.Ioc (Nat.sqrt (2 * n)) (2 * n / 3)), p ≤ ∏ p in primes (Finset.Icc 0 (2 * n / 3)), p