Theorems · Theorem · general topology

Filter.BoundedAtFilter.prod

∀ {α : Type u_2} {β : Type u_3} {ι : Type} (s : Finset ι) [inst : SeminormedCommRing β] {l : Filter α} {f : ι → α → β},
  (∀ i ∈ s, l.BoundedAtFilter (f i)) → l.BoundedAtFilter (∏ i ∈ s, f i)

Defined in

Mathlib.Order.Filter.ZeroAndBoundedAtFilter

Cited by

0 results in Mathlib

Foundations

Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SeminormedCommRing