feat(Analysis/Normed/Module): add bornology and T2 instances for WeakSpace#37161
feat(Analysis/Normed/Module): add bornology and T2 instances for WeakSpace#37161mike1729 wants to merge 10 commits intoleanprover-community:masterfrom
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Register the norm bornology on
WeakSpace 𝕜 Eand prove that it coincides with the von Neumann bornology of the weak topology.New declarations
WeakSpace.instBornology: norm bornology inherited fromE.WeakSpace.instT2Space: Hausdorff via Hahn–Banach separation.WeakSpace.norm_topology_le_weakSpace_topology: the weak topology is coarser than the norm topology.WeakSpace.isBounded_iff_isVonNBounded: norm-boundedness equals weak von Neumann boundedness (no[CompleteSpace E]needed).