Theorems · Theorem · general topology
IsLocallyInjective.comp_right
∀ {X : Type u_1} {Y : Type u_2} {A : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace A] {f : X → Y},
IsLocallyInjective f → ∀ {g : A → X}, Continuous g → Function.Injective g → IsLocallyInjective (f ∘ g)- Defined in
- Mathlib.Topology.SeparatedMap
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- 0 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Continuousstatement and proof · cited by 2,592
- IsOpenproof · cited by 2,400
- IsOpen.preimageproof · cited by 147
- Function.Pullbackproof · cited by 29
- IsLocallyInjectivestatement and proof · cited by 14
- Continuous.mapPullbackproof · cited by 3
- isLocallyInjective_iff_isOpen_diagonalproof · cited by 3
- Function.Injective.preimage_pullbackDiagonalproof · cited by 2
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