Theorems · Theorem · convex and discrete geometry

IsExtreme.convex_sdiff

∀ {𝕜 : Type u_1} {E : Type u_2} [inst : Semiring 𝕜] [inst_1 : PartialOrder 𝕜] [inst_2 : AddCommGroup E]
  [inst_3 : Module 𝕜 E] {A B : Set E} [IsOrderedRing 𝕜], Convex 𝕜 A → IsExtreme 𝕜 A B → Convex 𝕜 (A \ B)

Defined in

Mathlib.Analysis.Convex.Extreme

Cited by

2 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringPartialOrderAddCommGroupModuleIsOrderedRing