nhdsSet_diagonal_eq_uniformity

∀ {α : Type ua} [inst : UniformSpace α] [CompactSpace α], nhdsSet (Set.diagonal α) = uniformity α

On a compact uniform space, the topology determines the uniform structure, entourages are exactly the neighborhoods of the diagonal.

Defined in: Mathlib.Topology.UniformSpace.Compact
Cited by: 2 results in Mathlib
Foundations: Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: UniformSpace CompactSpace

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