rw [Real.log_rpow (by norm_num; omega)] at h
x y z : ℝ
hx : 0 < x
hy : 0 < y
hz : 1 ≤ z
N : ℕ
hN✝ : ¬N = 0
hN : ¬N = 1
h : ↑(primesBetween 1 (1 + ↑N)) ≤ 2 * (↑N / (↑N ^ (1 / 2)).log) + 6 * (↑N ^ (1 / 2) * (1 + (↑N ^ (1 / 2)).log) ^ 3)
⊢ ↑(primesBetween 1 (1 + ↑N)) ≤ 4 * (↑N / (↑N).log) + 6 * (↑N ^ (1 / 2) * (1 + 1 / 2 * (↑N).log) ^ 3)
x y z : ℝ
hx : 0 < x
hy : 0 < y
hz : 1 ≤ z
N : ℕ
hN✝ : ¬N = 0
hN : ¬N = 1
h : ↑(primesBetween 1 (1 + ↑N)) ≤ 2 * (↑N / (1 / 2 * (↑N).log)) + 6 * (↑N ^ (1 / 2) * (1 + 1 / 2 * (↑N).log) ^ 3)
⊢ ↑(primesBetween 1 (1 + ↑N)) ≤ 4 * (↑N / (↑N).log) + 6 * (↑N ^ (1 / 2) * (1 + 1 / 2 * (↑N).log) ^ 3)