Theorems · Theorem · convex and discrete geometry
ConvexCone.coe_positive
∀ (R : Type u_2) (M : Type u_4) [inst : Semiring R] [inst_1 : PartialOrder R] [inst_2 : AddCommMonoid M] [inst_3 : PartialOrder M] [inst_4 : IsOrderedAddMonoid M] [inst_5 : Module R M] [inst_6 : PosSMulMono R M], ↑(ConvexCone.positive R M) = Set.Ici 0
- Defined in
- Mathlib.Geometry.Convex.Cone.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses no axioms
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · 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
- IsOrderedAddMonoidstatement and proof · cited by 1,659
- Set.Icistatement · cited by 1,070
- PosSMulMonostatement and proof · cited by 188
- ConvexConestatement · cited by 103
- ConvexCone.positivestatement · cited by 6
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