Theorems · Theorem · convex and discrete geometry

LinearMap.image_convexHull

∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] [inst_2 : AddCommMonoid E]
  [inst_3 : AddCommMonoid F] [inst_4 : Module 𝕜 E] [inst_5 : Module 𝕜 F] (f : E →ₗ[𝕜] F) (s : Set E),
  ⇑f '' (convexHull 𝕜) s = (convexHull 𝕜) (⇑f '' s)

Defined in

Mathlib.Analysis.Convex.Hull

Cited by

4 results in Mathlib

Foundations

Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderAddCommMonoidAddCommMonoidModuleModule