Theorems · Theorem · general topology

Filter.BoundedAtFilter.smul

∀ {𝕜 : Type u_1} {α : Type u_2} {β : Type u_3} [inst : SeminormedRing 𝕜] [inst_1 : SeminormedAddCommGroup β]
  [inst_2 : Module 𝕜 β] [IsBoundedSMul 𝕜 β] {l : Filter α} {f : α → β} (c : 𝕜),
  l.BoundedAtFilter f → l.BoundedAtFilter (c • f)

Defined in

Mathlib.Order.Filter.ZeroAndBoundedAtFilter

Cited by

0 results in Mathlib

Foundations

Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SeminormedRingSeminormedAddCommGroupModuleIsBoundedSMul