Theorems · Definition · convex and discrete geometry

convexHull

(𝕜 : Type u_1) →
  {E : Type u_2} →
    [inst : Semiring 𝕜] → [PartialOrder 𝕜] → [inst_2 : AddCommMonoid E] → [Module 𝕜 E] → ClosureOperator (Set E)

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

Defined in

Mathlib.Analysis.Convex.Hull

Cited by

163 results in Mathlib

Foundations

Depth 60 from the axioms, rests on 789 definitions · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderAddCommMonoidModule