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Theorems · Theorem · general topology

UniformEquiv.injective

∀ {α : Type u} {β : Type u_1} [inst : UniformSpace α] [inst_1 : UniformSpace β] (h : α ≃ᵤ β), Function.Injective ⇑h
Defined in
Mathlib.Topology.UniformSpace.Equiv
Cited by
2 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Quot.sound
Assumes
UniformSpaceUniformSpace
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Around this declaration

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

UniformEquiv.isUniformEmbedding · cited by 5UniformEquiv.isUniformEmb…QuasispectrumRestricts.nonUnitalStarAlgHom_injective · cited by 1QuasispectrumRestricts.no…DFunLike.coe · cited by 62936DFunLike.coeUniformSpace · cited by 2040UniformSpaceEquiv.injective · cited by 464Equiv.injectiveUniformEquiv · cited by 80UniformEquivUniformEquiv.toEquiv · cited by 21UniformEquiv.toEquivUniformEquiv.injectiveCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.