rwa [multiplicity.multiplicity_pow_self_of_prime Int.prime_two,
     multiplicity.multiplicity_pow_self_of_prime Int.prime_two,
  PartENat.coe_lt_coe, ← Finset.mem_range]
k n : ℕ
hk : k > 0
h : ↑k ! = ∏ i ∈ Finset.range n, (2 ^ n - 2 ^ i)
i : ℕ
hi : i ∈ Finset.range n
⊢ multiplicity 2 (2 ^ i) < multiplicity 2 (2 ^ n)
no goals