Theorems · Definition · convex and discrete geometry

PointedCone

(R : Type u_5) →
  (E : Type u_6) →
    [inst : Semiring R] →
      [inst_1 : PartialOrder R] → [IsOrderedRing R] → [inst_3 : AddCommMonoid E] → [Module R E] → Type u_6

A pointed cone is a submodule of a module with scalars restricted to being nonnegative.

Defined in

Mathlib.Geometry.Convex.Cone.Pointed

Cited by

151 results in Mathlib

Foundations

Depth 34 from the axioms, rests on 433 definitions · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderIsOrderedRingAddCommMonoidModule