Question: Let (A, R) be a poset in which the length of a longest chain is n. Use mathematical induction to prove that the elements of

Let (A, R) be a poset in which the length of a longest chain is n. Use mathematical induction to prove that the elements of A can be partitioned into n antichains C1, C2, ..., Cn (where Ci ⋂ Cj = ∅, for 1 ≤ i < j ≤ n).

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If n 1 then for all x y A if x y then xRy and yRx Hence ... View full answer

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