Theorems · Theorem · convex and discrete geometry
Convexity.subset_convexHull_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] {s : Set X}, s ⊆ (Convexity.convexHull R) s- Defined in
- Mathlib.Geometry.Convex.Hull
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Semiringstatement and proof · cited by 13,802
- PartialOrderstatement and proof · cited by 6,410
- IsStrictOrderedRingstatement and proof · cited by 2,490
- ClosureOperatorstatement · cited by 371
- Convexity.ConvexSpacestatement and proof · cited by 176
- Convexity.convexHullstatement and proof · cited by 22
- ClosureOperator.le_closureproof · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- Convexity.IsAffineMap.image_convexHullproof · cited by 0
- Convexity.convexHull_eq_singletonproof · cited by 0