Theorems · Theorem · general topology

Filter.Eventually.image_of_prod

∀ {α : Type u_1} {β : Type u_2} {f : Filter α} {g : Filter β} {y : α → β} {r : α → β → Prop},
  Filter.Tendsto y f g → (∀ᶠ (p : α × β) in f ×ˢ g, r p.1 p.2) → ∀ᶠ (x : α) in f, r x (y x)

Defined in

Mathlib.Order.Filter.Prod

Cited by

2 results in Mathlib

Foundations

Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound