Theorems · Theorem · general topology
comap_uniformity_addOpposite
∀ {α : Type ua} [inst : UniformSpace α],
Filter.comap (fun p => (AddOpposite.op p.1, AddOpposite.op p.2)) (uniformity αᵃᵒᵖ) = uniformity α- Defined in
- Mathlib.Topology.UniformSpace.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
- UniformSpacestatement and proof · cited by 2,040
- uniformitystatement and proof · cited by 765
- Filter.comapstatement · cited by 546
- AddOppositestatement · cited by 452
- AddOpposite.opstatement · cited by 192
- Filter.comap_comapproof · cited by 69
- Filter.comap_idproof · cited by 10
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