Theorems · Theorem · functional analysis

Balanced.convexHull

∀ {𝕜 : Type u_1} {E : Type u_3} [inst : NontriviallyNormedField 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
  {s : Set E} [inst_3 : PartialOrder 𝕜], Balanced 𝕜 s → Balanced 𝕜 ((convexHull 𝕜) s)

Defined in

Mathlib.Analysis.LocallyConvex.Basic

Cited by

2 results in Mathlib

Foundations

Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldAddCommGroupModulePartialOrder