Theorems · Theorem · general topology

Filter.EventuallyEq.fun_const_smul

∀ {α : Type u} {β : Type v} {γ : Type u_2} [inst : SMul γ β] {f g : α → β} {l : Filter α},
  f =ᶠ[l] g → ∀ (c : γ), (fun i => c • f i) =ᶠ[l] fun i => c • g i

Eta-expanded form of Filter.EventuallyEq.const_smul

Defined in

Mathlib.Order.Filter.Basic

Cited by

0 results in Mathlib

Foundations

Depth 13 from the axioms · uses no axioms

Assumes

SMul