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another typo
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StevenClontz authored and PatrickMassot committed May 2, 2024
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4 changes: 2 additions & 2 deletions MIL/C09_Topology/S03_Topological_Spaces.lean
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Expand Up @@ -382,8 +382,8 @@ In addition ``comap (↑) (𝓝 y) ≠ ⊥`` because ``A`` is dense.
Because we know ``Tendsto f (comap (↑) (𝓝 y)) (𝓝 (φ y))`` this implies
``φ y ∈ closure V'`` and, since ``V'`` is closed, we have proved ``φ y ∈ V'``.
It remains to prove that ``φ`` extends ``f``. This is were continuity of ``f`` enters the discussion,
together with the fact that ``Y`` is Hausdorff.
It remains to prove that ``φ`` extends ``f``. This is where the continuity of ``f`` enters the
discussion, together with the fact that ``Y`` is Hausdorff.
BOTH: -/
-- QUOTE:
example [TopologicalSpace X] [TopologicalSpace Y] [T3Space Y] {A : Set X}
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