Theorems · Theorem · general topology
Bornology.isBounded_empty
∀ {α : Type u_2} {x : Bornology α}, Bornology.IsBounded ∅- Defined in
- Mathlib.Topology.Bornology.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Bornology.IsBoundedstatement · cited by 293
- Bornologystatement and proof · cited by 188
- Bornology.coboundedproof · cited by 162
- Filter.univ_memproof · cited by 96
- Set.compl_emptyproof · cited by 33
- Bornology.isBounded_defproof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- Bornology.nonempty_of_not_isBoundedproof · cited by 1
- Nonempty.of_isOrderBornologyproof · cited by 1
- MeasureTheory.SeparableSpace.exists_measurable_partition_diam_leproof · cited by 1
- Bornology.isBounded_iff_forall_memproof · cited by 0
- isBounded_nsmulproof · cited by 0