Theorems · Definition · general topology
UniformSpace.Completion
(α : Type u_1) → [UniformSpace α] → Type u_1
Hausdorff completion of α
- Defined in
- Mathlib.Topology.UniformSpace.Completion
- Cited by
- 192 results in Mathlib
- Foundations
- Depth 77 from the axioms, rests on 939 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- SeparationQuotientproof · cited by 128
- CauchyFilterproof · cited by 19
Cited by234
Results whose statement or proof uses this declaration.
- UniformSpace.Completion.coe'statement · cited by 144
- Valuation.Completionproof · cited by 33
- AbsoluteValue.Completionproof · cited by 24
- UniformSpace.Completion.mapstatement · cited by 23
- UniformSpace.Completion.cPkgproof · cited by 23
- UniformSpace.Completion.norm_coestatement · cited by 17
- UniformSpace.Completion.extensionstatement · cited by 16
- NormedAddGroupHom.completionstatement · cited by 15
- Valued.valuedCompletion_applystatement · cited by 11
- UniformSpace.Completion.toComplLstatement · cited by 11
- UniformSpace.Completion.isDenseInducing_coestatement · cited by 11
- Valued.extensionValuationstatement and proof · cited by 10
Showing the 200 most cited of 234.