Theorems · Definition · convex and discrete geometry
ConvexCone.toPointedCone
{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] → (C : ConvexCone R E) → C.Pointed → PointedCone R EThe PointedCone constructed from a pointed ConvexCone.
- Defined in
- Mathlib.Geometry.Convex.Cone.Pointed
- Cited by
- 3 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- SetLike.coeproof · cited by 8,199
- PartialOrderstatement and proof · cited by 6,410
- IsOrderedRingstatement and proof · cited by 777
- PointedConestatement · cited by 151
- ConvexConestatement and proof · cited by 103
- ConvexCone.Pointedstatement and proof · cited by 14
Cited by3
Results whose statement or proof uses this declaration.
- ConvexCone.coe_toPointedConestatement · cited by 0
- ConvexCone.mem_toPointedConestatement · cited by 0
- ConvexCone.toPointedCone_topstatement · cited by 0