Theorems · Theorem · general topology
Set.Finite.isBounded
∀ {α : Type u_2} [inst : Bornology α] {s : Set α}, s.Finite → Bornology.IsBounded s- Defined in
- Mathlib.Topology.Bornology.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Bornology
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.
- Setstatement and proof · cited by 53,352
- Compl.complproof · cited by 2,925
- Set.Finitestatement and proof · cited by 1,814
- Bornology.IsBoundedstatement · cited by 293
- Bornologystatement and proof · cited by 188
- Set.Finite.compl_mem_cofiniteproof · cited by 14
- Bornology.le_cofiniteproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- Metric.isBounded_range_of_tendsto_cofinite_uniformityproof · cited by 2
- Function.locallyFinsuppWithin.finite_support_of_logCounting_isBigO_logproof · cited by 1
- Bornology.IsVonNBounded.image_multilinearproof · cited by 0
- Set.Finite.isCompact_closureproof · cited by 0