Theorems · Theorem · general topology
totallyBounded_empty
∀ {α : Type u} [uniformSpace : UniformSpace α], TotallyBounded ∅- Defined in
- Mathlib.Topology.UniformSpace.Cauchy
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 65 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- UniformSpacestatement and proof · cited by 2,040
- TotallyBoundedstatement · cited by 79
- Set.finite_emptyproof · cited by 26
- Set.Finite.totallyBoundedproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Metric.totallyBounded_of_finite_discretizationproof · cited by 2
- Filter.totallyBounded_botproof · cited by 0