Theorems · Theorem · convex and discrete geometry

convexJoin_segment_singleton

∀ {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] (a b c : E),
  convexJoin 𝕜 (segment 𝕜 a b) {c} = (convexHull 𝕜) {a, b, c}

Defined in

Mathlib.Analysis.Convex.Join

Cited by

0 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldLinearOrderIsStrictOrderedRingAddCommGroupModule