Theorems · Theorem · convex and discrete geometry
PointedCone.subset_span
Deprecated since 2026-03-22Use PointedCone.subset_hull instead.
∀ {R : Type u_1} {E : Type u_2} [inst : Semiring R] [inst_1 : PartialOrder R] [inst_2 : IsOrderedRing R]
[inst_3 : AddCommMonoid E] [inst_4 : Module R E] {s : Set E}, s ⊆ ↑(PointedCone.hull R s)Alias of PointedCone.subset_hull.
- Defined in
- Mathlib.Geometry.Convex.Cone.Pointed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Modulestatement · cited by 20,661
- Semiringstatement · cited by 13,802
- AddCommMonoidstatement · cited by 12,281
- SetLike.coestatement · cited by 8,199
- PartialOrderstatement · cited by 6,410
- IsOrderedRingstatement · cited by 777
- PointedConestatement · cited by 151
- PointedCone.hullstatement · cited by 12
- PointedCone.subset_hullproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.