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Hall actually proved Theorem 8.4 on sets which has Theorem 8.3 as an equivalent formulation. It was in fact Dnes Knig who recognized Hall's theorem
Hall actually proved Theorem 8.4 on sets which has Theorem 8.3 as an equivalent formulation. It was in fact Dnes Knig who recognized Hall's theorem as a theorem in graph theory. Theorem 8.3 is sometimes stated in "more friendly" terms and goes by the name of the Marriage Theorem
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