Theorems · Theorem · general topology
refl_le_uniformity
∀ {α : Type ua} [inst : UniformSpace α], Filter.principal SetRel.id ≤ uniformity α- Defined in
- Mathlib.Topology.UniformSpace.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 62 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.
Cites7
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 · cited by 765
- Filter.principalstatement · cited by 740
- SetRel.idstatement · cited by 33
- UniformSpace.toCoreproof · cited by 3
- UniformSpace.Core.reflproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- refl_mem_uniformityproof · cited by 15
- uniformContinuous_of_constproof · cited by 4
- mem_uniformity_of_eqproof · cited by 1
- comap_uniformity_of_spaced_outproof · cited by 1