Theorems · Theorem · convex and discrete geometry

convexHull_prod

∀ {R : Type u_1} {E : Type u_3} {F : Type u_4} [inst : Field R] [inst_1 : AddCommGroup E] [inst_2 : AddCommGroup F]
  [inst_3 : Module R E] [inst_4 : Module R F] [inst_5 : LinearOrder R] [IsStrictOrderedRing R] (s : Set E) (t : Set F),
  (convexHull R) (s ×ˢ t) = (convexHull R) s ×ˢ (convexHull R) t

Defined in

Mathlib.Analysis.Convex.Combination

Cited by

2 results in Mathlib

Foundations

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

Assumes

FieldAddCommGroupAddCommGroupModuleModuleLinearOrderIsStrictOrderedRing