KnowraDarboux's theoremLinked fromLinked fromThe 8 pages that link to Darboux's theorem, each with the reason it gives.All 8Broader topic 1Related 3Compared with 4Rolle's theoremRelated: Rolle's theorem supplies a key step in standard proofs of this property.Canonical coordinatesRelated: It guarantees local canonical coordinates on a broad class of phase spaces.Denjoy–Luzin theoremRelated: Derivative values cannot jump across gaps, a structural constraint alongside approximate continuity.