Theorems · Theorem · general topology

Filter.eventually_pi

∀ {ι : Type u_1} {α : ι → Type u_2} {f : (i : ι) → Filter (α i)} {p : (i : ι) → α i → Prop} [Finite ι],
  (∀ (i : ι), ∀ᶠ (x : α i) in f i, p i x) → ∀ᶠ (x : (i : ι) → α i) in Filter.pi f, ∀ (i : ι), p i (x i)

Defined in

Mathlib.Order.Filter.Pi

Cited by

0 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Finite