Theorems · Theorem · convex and discrete geometry

PointedCone.FG.dual_dualfg

∀ {R : Type u_1} {M : Type u_2} {N : Type u_3} [inst : CommRing R] [inst_1 : PartialOrder R] [inst_2 : IsOrderedRing R]
  [inst_3 : AddCommGroup M] [inst_4 : Module R M] [inst_5 : AddCommGroup N] [inst_6 : Module R N]
  (p : M →ₗ[R] N →ₗ[R] R) {C : PointedCone R M}, Submodule.FG C → PointedCone.DualFG p (PointedCone.dual p ↑C)

Alias of PointedCone.DualFG.dual_of_fg. The dual of a finitely generated cone is dually finitely generated.

Defined in

Mathlib.Geometry.Convex.Cone.DualFinite

Cited by

0 results in Mathlib

Foundations

Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingPartialOrderIsOrderedRingAddCommGroupModuleAddCommGroupModule