Theorems · Theorem · functional analysis
convexHull_ediam
∀ {E : Type u_1} [inst : SeminormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] (s : Set E),
Metric.ediam ((convexHull ℝ) s) = Metric.ediam sEmetric diameter of the convex hull of a set s equals the emetric diameter of s.
- Defined in
- Mathlib.Analysis.Normed.Module.Convex
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedSpacestatement and proof · cited by 12,499
- ENNRealstatement and proof · cited by 9,879
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- Dist.distproof · cited by 1,539
- le_transproof · cited by 985
- LE.le.antisymmproof · cited by 507
- ClosureOperatorstatement · cited by 371
- convexHullstatement and proof · cited by 163
- Metric.ediamstatement and proof · cited by 159
Cited by2
Results whose statement or proof uses this declaration.
- convexHull_diamproof · cited by 0
- isBounded_convexHullproof · cited by 0