KnowraHelly's theoremLinked fromLinked fromThe 5 pages that link to Helly's theorem, each with the reason it gives.All 5Related 4Compared with 1Convex geometryRelated: It converts local intersection conditions into a global one.Carathéodory's theoremRelated: Its standard proof applies Carathéodory's theorem to separating convex combinations.Radon's theoremRelated: Radon's partition argument is a standard route to Helly's theorem.Kirszbraun theoremRelated: Finite ball intersections underpin a standard proof of the extension step.Shapley–Folkman lemmaCompared with: It is another dimension-controlled convexity theorem, but concerns intersections rather than sums.