Theorems · Theorem · convex and discrete geometry

Convexity.IsConvexSet.convexHull_eq_self

∀ {R : Type u_1} {X : Type u_2} [inst : Semiring R] [inst_1 : PartialOrder R] [inst_2 : IsStrictOrderedRing R]
  [inst_3 : Convexity.ConvexSpace R X] {C : Set X}, Convexity.IsConvexSet R C → (Convexity.convexHull R) C = C

Alias of the reverse direction of Convexity.convexHull_eq_self.

Defined in

Mathlib.Geometry.Convex.Hull

Cited by

4 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderIsStrictOrderedRingConvexity.ConvexSpace