⊢ {0}ᶜ ∈ comap (↑abs) atTop
⊢ map exp (comap re atTop) = comap (↑abs) atTop
rw [← comap_exp_comap_abs_atTop, map_comap, range_exp, inf_eq_left, le_principal_iff]
no goals
⊢ {0}ᶜ ∈ comap (↑abs) atTop
exact eventually_ne_of_tendsto_norm_atTop tendsto_comap 0