Theorems · Theorem · general topology

Antitone.mulIndicator_eventuallyEq_iInter

∀ {α : Type u_1} {β : Type u_2} {ι : Type u_5} [inst : Preorder ι] [inst_1 : One β] (s : ι → Set α),
  Antitone s →
    ∀ (f : α → β) (a : α), (fun i => (s i).mulIndicator f a) =ᶠ[Filter.atTop] fun x => (⋂ i, s i).mulIndicator f a

Defined in

Mathlib.Order.Filter.IndicatorFunction

Cited by

1 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PreorderOne