Theorems · Theorem · general topology
IsLocallyInjective.comp_left
∀ {X : Type u_2} {Y : Type u_3} [inst : TopologicalSpace X] {A : Type u_1} {f : X → Y},
IsLocallyInjective f → ∀ {g : Y → A}, Function.Injective g → IsLocallyInjective (g ∘ f)- Defined in
- Mathlib.Topology.SeparatedMap
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- TopologicalSpace
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- IsOpenproof · cited by 2,400
- Set.InjOnproof · cited by 543
- IsLocallyInjectivestatement and proof · cited by 14
- Function.Injective.comp_injOnproof · cited by 3
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