6. Prove that the set of all maximum size antichains of a poset P, forms a distributive lattice under "<" relation, where the relation between two maximum size antichains A and B is defined as follows: ABVA: 3y € B: x ≤py. Reminders: x ≤py means x ≤y in the poset P. . Remember to show that <, the relation between two maximum sized antichains as above, satisfies the conditions required to be a valid partial ordering relation.

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A: That's easy, have a look.  Have a great day!!!

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