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Theorems · Definition · convex and discrete geometry

convexAddSubmonoid

(𝕜 : Type u_1) →
  (E : Type u_2) →
    [inst : Semiring 𝕜] → [PartialOrder 𝕜] → [inst_2 : AddCommMonoid E] → [Module 𝕜 E] → AddSubmonoid (Set E)

The convex sets form an additive submonoid under pointwise addition.

Defined in
Mathlib.Analysis.Convex.Basic
Cited by
5 results in Mathlib
Foundations
Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemiringPartialOrderAddCommMonoidModule

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