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Theorems · Theorem · general topology

nhds_injective

∀ {X : Type u_1} [inst : TopologicalSpace X] [T0Space X], Function.Injective nhds
Defined in
Mathlib.Topology.Separation.Basic
Cited by
2 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Quot.sound
Assumes
TopologicalSpaceT0Space
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

inseparable_iff_eq · cited by 3inseparable_iff_eqspecializationOrder · cited by 3specializationOrdernhds_eq_nhds_iff · cited by 0nhds_eq_nhds_iffTopologicalSpace · cited by 24529TopologicalSpaceFilter · cited by 8121Filternhds · cited by 5554nhdsT0Space · cited by 179T0Spacet0Space_iff_nhds_injective · cited by 1t0Space_iff_nhds_injectivenhds_injectiveCITED BYCITES

Cites5

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Cited by3

Results whose statement or proof uses this declaration.