Theorems · Theorem · convex and discrete geometry

convex_Iic

∀ {𝕜 : Type u_1} {β : Type u_4} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] [inst_2 : AddCommMonoid β]
  [inst_3 : PartialOrder β] [IsOrderedAddMonoid β] [inst_5 : Module 𝕜 β] [PosSMulMono 𝕜 β] (r : β), Convex 𝕜 (Set.Iic r)

Defined in

Mathlib.Analysis.Convex.Basic

Cited by

12 results in Mathlib

Foundations

Depth 15 from the axioms · uses propext, Quot.sound

Assumes

SemiringPartialOrderAddCommMonoidPartialOrderIsOrderedAddMonoidModulePosSMulMono