Theorems · Theorem · general topology

Filter.ZeroAtFilter.add

∀ {α : Type u_2} {β : Type u_3} [inst : TopologicalSpace β] [inst_1 : AddZeroClass β] [ContinuousAdd β] {l : Filter α}
  {f g : α → β}, l.ZeroAtFilter f → l.ZeroAtFilter g → l.ZeroAtFilter (f + g)

Defined in

Mathlib.Order.Filter.ZeroAndBoundedAtFilter

Cited by

1 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceAddZeroClassContinuousAdd