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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. The Chevalley Warning theorem is a mathematical theorem on solvability of polynomial equations in several variables over a finite field. The theorem was proved by Ewald Warning in 1936. A slightly weaker form of the theorem, known as Chevalley''s theorem, was proved by French mathematician Claude Chevalley, also in 1936. Chevalley''s theorem settled in the affirmative a conjecture of Artin.