Theorems · Theorem · general topology

CauchySeq.tendsto_limUnder

∀ {α : Type u} {β : Type v} [uniformSpace : UniformSpace α] [inst : Preorder β] [CompleteSpace α] {u : β → α}
  (h : CauchySeq u), Filter.Tendsto u Filter.atTop (nhds (Filter.atTop.limUnder u))

Defined in

Mathlib.Topology.UniformSpace.Cauchy

Cited by

3 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

UniformSpacePreorderCompleteSpace