Theorems · Definition · convex and discrete geometry
ConvexCone.Blunt
{R : Type u_2} →
{M : Type u_4} →
[inst : Semiring R] →
[inst_1 : PartialOrder R] → [inst_2 : AddCommMonoid M] → [inst_3 : SMul R M] → ConvexCone R M → PropA convex cone is blunt if it doesn't include 0.
- Defined in
- Mathlib.Geometry.Convex.Cone.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- PartialOrderstatement and proof · cited by 6,410
- ConvexConestatement and proof · cited by 103
Cited by5
Results whose statement or proof uses this declaration.
- ConvexCone.blunt_iff_not_pointedstatement · cited by 1
- ConvexCone.Blunt.antistatement and proof · cited by 0
- ConvexCone.Blunt.salientstatement and proof · cited by 0
- ConvexCone.pointed_iff_not_bluntstatement · cited by 0
- ConvexCone.blunt_strictlyPositivestatement · cited by 0