Theorems · Theorem · Lie groups
totallyBounded_iff_subset_finite_iUnion_nhds_one
∀ {α : Type u_1} [inst : UniformSpace α] [inst_1 : Group α] [IsUniformGroup α] {s : Set α},
TotallyBounded s ↔ ∀ U ∈ nhds 1, ∃ t, t.Finite ∧ s ⊆ ⋃ y ∈ t, y • U- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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
- Filterstatement · cited by 8,121
- Groupstatement and proof · cited by 6,238
- Set.ofPredproof · cited by 6,101
- nhdsstatement and proof · cited by 5,554
- Set.iUnionstatement and proof · cited by 2,483
- UniformSpacestatement and proof · cited by 2,040
- Set.Finitestatement and proof · cited by 1,814
- Set.smulSetstatement · cited by 608
- Set.iUnion_congr_Propproof · cited by 374
- IsUniformGroupstatement and proof · cited by 145
- Filter.basis_setsproof · cited by 105
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