Theorems · Theorem · general topology
totallyBounded_closure
∀ {α : Type u} [uniformSpace : UniformSpace α] {s : Set α}, TotallyBounded (closure s) ↔ TotallyBounded s- Defined in
- Mathlib.Topology.UniformSpace.Cauchy
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- UniformSpacestatement and proof · cited by 2,040
- closurestatement and proof · cited by 1,254
- subset_closureproof · cited by 309
- TotallyBoundedstatement and proof · cited by 79
- TotallyBounded.subsetproof · cited by 7
- TotallyBounded.closureproof · cited by 4
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