convert rpow_mul_rpow_log_isBigO_id_div_log 1 (show 1/2 < (1:ℝ) by norm_num) using 1
x y z : ℝ
hx : 0 < x
hy : 0 < y
hz : 1 ≤ z
⊢ (fun N => N ^ (1 / 2) * N.log) =O[atTop] fun N => N / N.log
case h.e'_7
x y z : ℝ
hx : 0 < x
hy : 0 < y
hz : 1 ≤ z
⊢ (fun N => N ^ (1 / 2) * N.log) = fun x => x ^ (1 / 2) * x.log ^ 1