Theorems · Theorem · general topology
UniformSpace.uniformSpace_eq_bot
∀ {α : Type ua} {u : UniformSpace α}, u = ⊥ ↔ SetRel.id ∈ uniformity α- Defined in
- Mathlib.Topology.UniformSpace.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
- Bot.botstatement · cited by 4,720
- UniformSpacestatement and proof · cited by 2,040
- uniformitystatement · cited by 765
- SetRelstatement · cited by 581
- le_bot_iffproof · cited by 116
- Filter.le_principal_iffproof · cited by 87
- SetRel.idstatement · cited by 33
Cited by1
Results whose statement or proof uses this declaration.
- discreteUniformity_iff_setRelId_mem_uniformityproof · cited by 1