Theorems · Theorem · convex and discrete geometry

Convexity.convexHull_eq_singleton

∀ {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] {s : Set X} {x : X}, (Convexity.convexHull R) s = {x} ↔ s = {x}

Defined in

Mathlib.Geometry.Convex.Hull

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderIsStrictOrderedRingConvexity.ConvexSpace