of_weaklyLocallyCompactSpace — Mathlib

English

Every weakly locally compact space is compactly coherent.

Русский

Каждое слаб locally компактное пространство — компактно-согласовано.

LaTeX

$$$ \text{WeaklyLocallyCompactSpace}(X) \Rightarrow \operatorname{CompactlyCoherentSpace}(X) $$$

Lean4

/-- Every weakly locally compact space is a compactly coherent space. -/
instance of_weaklyLocallyCompactSpace [WeaklyLocallyCompactSpace X] : CompactlyCoherentSpace X where
  isCoherentWith := IsCoherentWith.of_nhds exists_compact_mem_nhds

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