diff --git a/MIL/C09_Topology/S03_Topological_Spaces.lean b/MIL/C09_Topology/S03_Topological_Spaces.lean index 1c4241af..e4f2cd0d 100644 --- a/MIL/C09_Topology/S03_Topological_Spaces.lean +++ b/MIL/C09_Topology/S03_Topological_Spaces.lean @@ -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}