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feat: prove T218, discrete implies locally finite - #1330

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kisonecat:formalize-T218
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kisonecat:formalize-T218

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@kisonecat kisonecat commented Sep 12, 2026

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Adds T218: a discrete space is locally finite, which fixes #473

In a discrete space {x} is open, hence a neighbourhood of x, and it is finite:

⟨fun x ↦ ⟨{x}, by simp, finite_singleton x⟩⟩

Closes #473.

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T218: Discrete (P52) => Locally finite (P94)

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