Commit 2023-10-29 04:04 a988ad93
View on Github →feat: a unique cluster pt of a filter is its limit (#7944) If a filter has a unique cluster point in a compact set, then this point is a limit of the filter. We add four versions of this fact:
- for a compact set or a compact space;
- for a
ClusterPt
and_ ≤ 𝓝 _
orMapClusterPt
andFilter.Tendsto _ _ (𝓝 _)
. Also - add
isCompact_iff_ultrafilter_le_nhds'
that usess ∈ f
instead of↑f ≤ 𝓟 s
; - move
Ultrafilter.le_nhds_lim
to a more appropriate file. Motivated by a lemma in the Mandelbrot set connectedness project. Co-Authored-By: @girving