Mathlib Map

Theorems · Theorem · general topology

IsLocalHomeomorph.isLocalHomeomorphOn

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y} {s : Set X},
  IsLocalHomeomorph f → IsLocalHomeomorphOn f s
Defined in
Mathlib.Topology.IsLocalHomeomorph
Cited by
6 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
TopologicalSpaceTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

IsLocalHomeomorph.map_nhds_eq · cited by 2IsLocalHomeomorph.map_nhd…IsLocalHomeomorph.discreteTopology_range_iff · cited by 1IsLocalHomeomorph.discret…IsLocalHomeomorph.continuous · cited by 1IsLocalHomeomorph.continu…IsLocalHomeomorph.of_comp · cited by 1IsLocalHomeomorph.of_compIsLocalHomeomorph.comap_discreteTopology · cited by 0IsLocalHomeomorph.comap_d…IsLocalHomeomorph.comp · cited by 0IsLocalHomeomorph.compSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceIsLocalHomeomorph · cited by 35IsLocalHomeomorphIsLocalHomeomorphOn · cited by 22IsLocalHomeomorphOnIsLocalHomeomorph.isLocalHome…CITED BYCITES

Cites4

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Cited by6

Results whose statement or proof uses this declaration.