Theorems · Theorem · general topology

Filter.totallyBounded_iSup

∀ {α : Type u} [uniformSpace : UniformSpace α] {ι : Sort u_1} [Finite ι] {f : ι → Filter α},
  (⨆ i, f i).TotallyBounded ↔ ∀ (i : ι), (f i).TotallyBounded

Defined in

Mathlib.Topology.UniformSpace.Cauchy

Cited by

2 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpaceFinite