Theorems · Theorem · convex and discrete geometry
PointedCone.subset_hull
∀ {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)- Defined in
- Mathlib.Geometry.Convex.Cone.Pointed
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 36 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 and proof · cited by 53,352
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coestatement · cited by 8,199
- PartialOrderstatement and proof · cited by 6,410
- IsOrderedRingstatement and proof · cited by 777
- Submodule.subset_spanproof · cited by 234
- PointedConestatement · cited by 151
- PointedCone.hullstatement · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- PointedCone.minTensorProduct_eq_max_of_simplicial_generating_leftproof · cited by 1
- PointedCone.subset_spanproof · cited by 0