Theorems · Theorem · convex and discrete geometry
PointedCone.convex
∀ {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 : PointedCone R E), Convex R ↑C- Defined in
- Mathlib.Geometry.Convex.Cone.Pointed
- Cited by
- 1 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.
- 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
- Convexstatement · cited by 551
- PointedConestatement and proof · cited by 151
- PointedCone.toConvexConeproof · cited by 10
- ConvexCone.convexproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ProperCone.convexproof · cited by 1