Theorems · Theorem · convex and discrete geometry

Convexity.IsConvexSet.prod

∀ {R : Type u_3} {X : Type u_5} [inst : Semiring R] [inst_1 : PartialOrder R] [inst_2 : IsStrictOrderedRing R]
  [inst_3 : Convexity.ConvexSpace R X] {s : Set X} {Y : Type u_7} [inst_4 : Convexity.ConvexSpace R Y] {t : Set Y},
  Convexity.IsConvexSet R s → Convexity.IsConvexSet R t → Convexity.IsConvexSet R (s ×ˢ t)

Defined in

Mathlib.Geometry.Convex.Set

Cited by

0 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderIsStrictOrderedRingConvexity.ConvexSpaceConvexity.ConvexSpace