Theorems · Theorem · general topology
Real.ediam_Ioo
∀ (a b : ℝ), Metric.ediam (Set.Ioo a b) = ENNReal.ofReal (b - a)
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- ENNRealstatement and proof · cited by 9,879
- zero_addproof · cited by 2,366
- Set.Ioostatement and proof · cited by 1,214
- InfSet.sInfproof · cited by 935
- ENNReal.ofRealstatement and proof · cited by 863
- le_or_gtproof · cited by 269
- Metric.ediamstatement and proof · cited by 159
- Set.Ioo_eq_emptyproof · cited by 24
- Metric.ediam_emptyproof · cited by 7
- Metric.isBounded_Iooproof · cited by 5
- Real.ediam_eqproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- Real.ediam_Icoproof · cited by 1
- Real.ediam_Iocproof · cited by 1
- Real.diam_Iooproof · cited by 0