Theorems · Theorem · functional analysis
convexHull_diam
∀ {E : Type u_1} [inst : SeminormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] (s : Set E),
Metric.diam ((convexHull ℝ) s) = Metric.diam sDiameter of the convex hull of a set s equals the emetric diameter of s.
- Defined in
- Mathlib.Analysis.Normed.Module.Convex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- ENNReal.toRealproof · cited by 859
- ClosureOperatorstatement · cited by 371
- convexHullstatement · cited by 163
- Metric.ediamproof · cited by 159
- Metric.diamstatement · cited by 74
- convexHull_ediamproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.