no goals
ι : Type ?u.226440
ι' : Type ?u.226443
α : Type u_1
β : Type u_2
γ : Type ?u.226452
inst✝ : LinearOrderedField α
l : Filter β
f : β → α
r : α
hr : 0 < r
⊢ Tendsto (fun x => r * f x) l atBot ↔ Tendsto f l atBot
simpa only [← mul_neg, ← tendsto_neg_atTop_iff] using tendsto_const_mul_atTop_of_pos hr