Theorems · Theorem · convex and discrete geometry

PointedCone.toConvexCone_closure_pointed

∀ {𝕜 : Type u_1} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] [inst_2 : IsOrderedRing 𝕜] {E : Type u_2}
  [inst_3 : AddCommMonoid E] [inst_4 : TopologicalSpace E] [inst_5 : ContinuousAdd E] [inst_6 : Module 𝕜 E]
  [inst_7 : ContinuousConstSMul 𝕜 E] (K : PointedCone 𝕜 E), (↑K).closure.Pointed

Defined in

Mathlib.Analysis.Convex.Cone.Closure

Cited by

0 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderIsOrderedRingAddCommMonoidTopologicalSpaceContinuousAddModuleContinuousConstSMul