Theorems · Theorem · order theory

Filter.Tendsto.atTop_zsmul_const

∀ {α : Type u_1} {R : Type u_2} {l : Filter α} {r : R} [inst : AddCommGroup R] [inst_1 : LinearOrder R]
  [IsOrderedAddMonoid R] [Archimedean R] {f : α → ℤ},
  0 < r → Filter.Tendsto f l Filter.atTop → Filter.Tendsto (fun x => f x • r) l Filter.atTop

Defined in

Mathlib.Order.Filter.AtTopBot.Archimedean

Cited by

3 results in Mathlib

Foundations

Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupLinearOrderIsOrderedAddMonoidArchimedean