Theorems · Theorem · general topology

Filter.Tendsto.eventually

∀ {α : Type u_1} {β : Type u_2} {f : α → β} {l₁ : Filter α} {l₂ : Filter β} {p : β → Prop},
  Filter.Tendsto f l₁ l₂ → (∀ᶠ (y : β) in l₂, p y) → ∀ᶠ (x : α) in l₁, p (f x)

Defined in

Mathlib.Order.Filter.Tendsto

Cited by

174 results in Mathlib

Foundations

Depth 14 from the axioms, rests on 74 definitions · uses propext, Quot.sound