Theorems · Theorem · general topology

Filter.EventuallyEq.of_mulIndicator

∀ {α : Type u_1} {β : Type u_2} [inst : One β] {l : Filter α} {f : α → β},
  (∀ᶠ (x : α) in l, f x ≠ 1) → ∀ {s t : Set α}, s.mulIndicator f =ᶠ[l] t.mulIndicator f → s =ᶠ[l] t

Defined in

Mathlib.Order.Filter.IndicatorFunction

Cited by

1 results in Mathlib

Foundations

Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

One