Theorems · Theorem · general topology
UniformSpace.Completion.isUniformEmbedding_coe
∀ (α : Type u_1) [inst : UniformSpace α] [T0Space α], IsUniformEmbedding UniformSpace.Completion.coe'
- Defined in
- Mathlib.Topology.UniformSpace.Completion
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpaceT0Space
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniformSpacestatement and proof · cited by 2,040
- UniformSpace.Completionstatement · cited by 192
- T0Spacestatement and proof · cited by 179
- UniformSpace.Completion.coe'statement · cited by 144
- IsUniformEmbeddingstatement · cited by 107
- CauchyFilter.separated_pureCauchy_injectiveproof · cited by 2
- UniformSpace.Completion.comap_coe_eq_uniformityproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.tendsto_zero_of_hasDerivAt_of_integrableOn_Iicproof · cited by 2
- MeasureTheory.tendsto_zero_of_hasDerivAt_of_integrableOn_Ioiproof · cited by 2
- UniformSpace.Completion.coe_injectiveproof · cited by 2