Theorems · Theorem · general topology
SeparationQuotient.comap_map_mk_uniformity
∀ {α : Type u} [inst : UniformSpace α],
Filter.comap (Prod.map SeparationQuotient.mk SeparationQuotient.mk)
(Filter.map (Prod.map SeparationQuotient.mk SeparationQuotient.mk) (uniformity α)) =
uniformity α- Defined in
- Mathlib.Topology.UniformSpace.Separation
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
- Set.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- IsOpenproof · cited by 2,400
- le_antisymmproof · cited by 2,068
- UniformSpacestatement and proof · cited by 2,040
- Filter.mapstatement · cited by 819
- uniformitystatement and proof · cited by 765
- SetRelproof · cited by 581
- Filter.comapstatement · cited by 546
- SeparationQuotientstatement · cited by 128
- Filter.basis_setsproof · cited by 105
Cited by1
Results whose statement or proof uses this declaration.
- SeparationQuotient.comap_mk_uniformityproof · cited by 1