Theorems · Definition · convex and discrete geometry

PointedCone.IsSimplicial

{R : Type u_1} →
  {M : Type u_2} →
    [inst : Semiring R] →
      [inst_1 : PartialOrder R] →
        [inst_2 : IsOrderedRing R] → [inst_3 : AddCommMonoid M] → [inst_4 : Module R M] → PointedCone R M → Prop

A pointed cone is simplicial if it equals the conic hull of a finite set that is linearly independent over R.

Defined in

Mathlib.Geometry.Convex.Cone.Simplicial

Cited by

3 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderIsOrderedRingAddCommMonoidModule