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Zulip Chat Archive

Stream: Is there code for X?

Topic: Cluster point of principal filter


Nir Paz (Sep 05 2024 at 13:49):

Do we have something like this

theorem clusterPt_principal {X : Type u} [TopologicalSpace X] {a : X} {S : Set X}
    (h : ClusterPt a (𝓟 S)) : a ∈ S ∨ AccPt a (𝓟 S)

?

Daniel Weber (Sep 05 2024 at 16:16):

This should be fairly immediate from docs#acc_principal_iff_cluster


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