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We show that Jacobi's bound for the order of a system of ordinary differential equations stands in the case of a diffiety defined by a quasi-regular system. We extend the result when there are less equations than variables and characterize the case when the bound is reached. To cite this article: F. Ollivier, B. Sadik, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

La borne de Jacobi pour une diffiété définie par un système quasi régulier