Theorems · Definition · convex and discrete geometry

PointedCone.lineal

{R : Type u_1} →
  {E : Type u_2} →
    [inst : Ring R] →
      [inst_1 : LinearOrder R] →
        [inst_2 : IsOrderedRing R] → [inst_3 : AddCommGroup E] → [inst_4 : Module R E] → PointedCone R E → Submodule R E

The lineality space of a cone C is the submodule given by C ⊓ -C.

Defined in

Mathlib.Geometry.Convex.Cone.Pointed

Cited by

10 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingLinearOrderIsOrderedRingAddCommGroupModule