Theorems · Definition · convex and discrete geometry

PointedCone.ofSubmoduleLatticeHom

{R : Type u_1} →
  {E : Type u_2} →
    [inst : Semiring R] →
      [inst_1 : PartialOrder R] →
        [inst_2 : IsOrderedRing R] →
          [inst_3 : AddCommMonoid E] → [inst_4 : Module R E] → CompleteLatticeHom (Submodule R E) (PointedCone R E)

Coercion from submodules to pointed cones as a lattice homomorphism.

Defined in

Mathlib.Geometry.Convex.Cone.Pointed

Cited by

2 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderIsOrderedRingAddCommMonoidModule