Theorems · Theorem · functional analysis

isBounded_convexHull

∀ {E : Type u_1} [inst : SeminormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {s : Set E},
  Bornology.IsBounded ((convexHull ℝ) s) ↔ Bornology.IsBounded s

Convex hull of s is bounded if and only if s is bounded.

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

Assumes

SeminormedAddCommGroupNormedSpace