Commit 2024-11-11 05:16 cfe7adec

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feat(Topology/Order): add more CovBy.nhdsWithin... lemmas (#18567)

  • Add lemmas about 𝓝[<] a and 𝓝[≤] a in a PredOrder.
  • Add lemmas about 𝓝[>] a and 𝓝[≥] a in a SuccOrder.
  • Add CovBy.nhdsWithin_Ici and CovBy.nhdsWithin_Iic.
  • Prove that an OrderClosedTopology on a linear order which is a PredOrder and a SuccOrder is discrete.
  • Cleanup theorems about OrderTopology vs DiscreteTopology.

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