File tree Expand file tree Collapse file tree 1 file changed +0
-13
lines changed
Mathlib/Topology/Homeomorph Expand file tree Collapse file tree 1 file changed +0
-13
lines changed Original file line number Diff line number Diff line change @@ -310,19 +310,6 @@ def homeomorphOfUnique [Unique X] [Unique Y] : X ≃ₜ Y :=
310310 continuous_toFun := continuous_const
311311 continuous_invFun := continuous_const }
312312
313-
314- open Function in
315- /-- Build a homeomorphism out of bundled continuous maps in both directions. -/
316- @[simps]
317- def ofContinuousMaps {X Y} [TopologicalSpace X] [TopologicalSpace Y]
318- (toFun : C(X, Y)) (invFun : C(Y, X))
319- (left_inv : LeftInverse invFun toFun := by intro; first | rfl | ext <;> rfl)
320- (right_inv : RightInverse invFun toFun := by intro; first | rfl | ext <;> rfl) : X ≃ₜ Y where
321- toFun
322- invFun
323- left_inv
324- right_inv
325-
326313@[simp]
327314theorem map_nhds_eq (h : X ≃ₜ Y) (x : X) : map h (𝓝 x) = 𝓝 (h x) :=
328315 h.isEmbedding.map_nhds_of_mem _ (by simp)
You can’t perform that action at this time.
0 commit comments