Theorems · Theorem · general topology

Filter.EventuallyEq.fun_comp

∀ {α : Type u} {β : Type v} {γ : Type w} {f g : α → β} {l : Filter α}, f =ᶠ[l] g → ∀ (h : β → γ), h ∘ f =ᶠ[l] h ∘ g

See EventuallyEq.comp_tendsto in Mathlib.Order.Filter.Tendsto for a similar statement w.r.t. composition on the right.

Defined in

Mathlib.Order.Filter.Basic

Cited by

47 results in Mathlib

Foundations

Depth 11 from the axioms · uses no axioms