Mathlib Map

Theorems · Definition · convex and discrete geometry

closedConvexHull

(𝕜 : Type u_2) →
  {E : Type u_3} →
    [inst : Semiring 𝕜] →
      [PartialOrder 𝕜] → [inst_2 : AddCommGroup E] → [Module 𝕜 E] → [TopologicalSpace E] → ClosureOperator (Set E)

The convex closed hull of a set s is the minimal convex closed set that includes s.

Defined in
Mathlib.Analysis.Convex.Topology
Cited by
10 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringPartialOrderAddCommGroupModuleTopologicalSpace

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.

Cited by10

Results whose statement or proof uses this declaration.