KnowraExistence theoremLinked fromLinked fromThe 5 pages that link to Existence theorem, each with the reason it gives.All 5Broader topic 1Narrower topic 4TheoremBroader topic: It isolates a common theorem form whose proof may or may not exhibit an example.Constructive mathematicsNarrower topic: Constructive mathematics imposes requirements on how such theorems are proved.Direct method in the calculus of variationsNarrower topic: The direct method is a reusable route to variational existence theorems.Weierstrass theoremNarrower topic: The theorem establishes existence before any method is used to locate the extrema.Bolzano's theoremNarrower topic: Bolzano's theorem proves existence of a zero without requiring its exact value.