Theorems · Definition · convex and discrete geometry

ProperCone.toPointedCone

{R : Type u_2} →
  {E : Type u_3} →
    [inst : Semiring R] →
      [inst_1 : PartialOrder R] →
        [inst_2 : IsOrderedRing R] →
          [inst_3 : AddCommMonoid E] →
            [inst_4 : TopologicalSpace E] → [inst_5 : Module R E] → ProperCone R E → PointedCone R E

Any proper cone can be seen as a pointed cone. This is an alias of ClosedSubmodule.toSubmodule for convenience and discoverability.

Defined in

Mathlib.Analysis.Convex.Cone.Basic

Cited by

10 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderIsOrderedRingAddCommMonoidTopologicalSpaceModule