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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 s

Emetric 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
Assumes
SeminormedAddCommGroupNormedSpace

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Cited by2

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