Theorems · Theorem · convex and discrete geometry
Convexity.convexHull_univ
∀ {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], (Convexity.convexHull R) Set.univ = Set.univ- Defined in
- Mathlib.Geometry.Convex.Hull
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
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 · cited by 53,352
- Semiringstatement and proof · cited by 13,802
- PartialOrderstatement and proof · cited by 6,410
- Set.univstatement · cited by 3,945
- IsStrictOrderedRingstatement and proof · cited by 2,490
- ClosureOperatorstatement · cited by 371
- Convexity.ConvexSpacestatement and proof · cited by 176
- Convexity.convexHullstatement · cited by 22
- Convexity.IsConvexSet.convexHull_eq_selfproof · cited by 4
- Convexity.IsConvexSet.univproof · cited by 1
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