Theorems · Theorem · convex and discrete geometry

Convex.convexJoin

∀ {𝕜 : Type u_2} {E : Type u_3} [inst : Field 𝕜] [inst_1 : LinearOrder 𝕜] [IsStrictOrderedRing 𝕜]
  [inst_3 : AddCommGroup E] [inst_4 : Module 𝕜 E] {s t : Set E}, Convex 𝕜 s → Convex 𝕜 t → Convex 𝕜 (convexJoin 𝕜 s t)

Defined in

Mathlib.Analysis.Convex.Join

Cited by

1 results in Mathlib

Foundations

Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldLinearOrderIsStrictOrderedRingAddCommGroupModule