Theorems · Theorem · general topology
Function.Injective.IsLocallyInjective
∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] {f : X → Y}, Function.Injective f → IsLocallyInjective f- Defined in
- Mathlib.Topology.SeparatedMap
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- TopologicalSpace
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Cites4
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
- Set.univproof · cited by 3,945
- isOpen_univproof · cited by 112
- IsLocallyInjectivestatement · cited by 14
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