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Theorems · Theorem · general topology

Topology.IsOpenEmbedding.toOpenPartialHomeomorph_left_inv

∀ {X : Type u_1} {Y : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (f : X → Y)
  (h : Topology.IsOpenEmbedding f) [inst_2 : Nonempty X] {x : X},
  ↑(Topology.IsOpenEmbedding.toOpenPartialHomeomorph f h).symm (f x) = x
Defined in
Mathlib.Topology.OpenPartialHomeomorph.Basic
Cited by
2 results in Mathlib
Foundations
Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceNonempty
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

UpperHalfPlane.ofComplex_apply · cited by 14UpperHalfPlane.ofComplex_…ContMDiff.of_comp_isOpenEmbedding · cited by 0ContMDiff.of_comp_isOpenE…TopologicalSpace · cited by 24529TopologicalSpaceOpenPartialHomeomorph.toFun' · cited by 745OpenPartialHomeomorph.toF…OpenPartialHomeomorph.symm · cited by 460OpenPartialHomeomorph.symmSet.mem_univ · cited by 416Set.mem_univTopology.IsOpenEmbedding · cited by 231Topology.IsOpenEmbeddingOpenPartialHomeomorph.left_inv · cited by 78OpenPartialHomeomorph.lef…Topology.IsOpenEmbedding.toOpenPartialHomeomorph · cited by 14IsOpenEmbedding.toOpenPar…Topology.IsOpenEmbedding.toOpenPartialHomeomorph_apply · cited by 5IsOpenEmbedding.toOpenPar…IsOpenEmbedding.toOpenPartial…CITED BYCITES

Cites8

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Cited by2

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