Theorems · Theorem · general topology
IsLocalHomeomorph.isLocallyInjective
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {f : X → Y},
IsLocalHomeomorph f → IsLocallyInjective f- Defined in
- Mathlib.Topology.IsLocalHomeomorph
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- PartialEquiv.sourceproof · cited by 964
- PartialHomeomorph.toPartialEquivproof · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphproof · cited by 851
- OpenPartialHomeomorph.toFun'proof · cited by 745
- OpenPartialHomeomorphproof · cited by 664
- OpenPartialHomeomorph.open_sourceproof · cited by 65
- IsLocalHomeomorphstatement and proof · cited by 35
- OpenPartialHomeomorph.injOnproof · cited by 15
- IsLocallyInjectivestatement · cited by 14
Cited by6
Results whose statement or proof uses this declaration.
- IsCoveringMap.eq_of_comp_eqproof · cited by 1
- IsLocalHomeomorph.continuous_liftproof · cited by 1
- IsCoveringMap.constOn_of_compproof · cited by 0
- IsCoveringMap.const_of_compproof · cited by 0
- IsCoveringMap.eqOn_of_comp_eqOnproof · cited by 0
- IsLocalHomeomorph.monodromy_theoremproof · cited by 0