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Theorems · Theorem · general topology

isUniformEmbedding_comap

∀ {α : Type u_1} {β : Type u_2} {f : α → β} [u : UniformSpace β], Function.Injective f → IsUniformEmbedding f
Defined in
Mathlib.Topology.UniformSpace.UniformEmbedding
Cited by
3 results in Mathlib
Foundations
Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
UniformSpace
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Around this declaration

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

Rat.isUniformEmbedding_coe_real · cited by 3Rat.isUniformEmbedding_co…MeasureTheory.Lp.simpleFunc.isUniformEmbedding · cited by 2simpleFunc.isUniformEmbed…DoubleCentralizer.isUniformEmbedding_toProdMulOpposite · cited by 0DoubleCentralizer.isUnifo…UniformSpace · cited by 2040UniformSpaceIsUniformEmbedding · cited by 107IsUniformEmbeddingUniformSpace.comap · cited by 61UniformSpace.comapisUniformEmbedding_comapCITED BYCITES

Cites3

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Cited by3

Results whose statement or proof uses this declaration.