Theorems · Theorem · convex and discrete geometry

Convexity.IsConvexSet.convexHull_subset_iff

∀ {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 s : Set X},
  Convexity.IsConvexSet R C → ((Convexity.convexHull R) s ⊆ C ↔ s ⊆ C)

Defined in

Mathlib.Geometry.Convex.Hull

Cited by

2 results in Mathlib

Foundations

Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderIsStrictOrderedRingConvexity.ConvexSpace