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Math · Advanced Math
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7. Let P - (X, 3) be a poset, Xo - 0 and let Xi be the set of minimal 1 be elements of the restriction of P to the set XUX;. Suppose the smallest integer such that X1+1-. a. Prove that X, is an antichain for all 1く 1. b. Prove that there exists a chain in P whose size is l.

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