Theorems · Theorem · convex and discrete geometry

convexJoin_singleton_left

∀ {𝕜 : Type u_2} {E : Type u_3} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] [inst_2 : AddCommMonoid E]
  [inst_3 : Module 𝕜 E] (t : Set E) (x : E), convexJoin 𝕜 {x} t = ⋃ y ∈ t, segment 𝕜 x y

Defined in

Mathlib.Analysis.Convex.Join

Cited by

1 results in Mathlib

Foundations

Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderAddCommMonoidModule