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Graduate Natural numbers distributive lattice
I need a proof that the set of natural numbers with the the relationship of divisibility form a distributive lattice with gcd as AND and lcm as OR. I know it can be shown that a AND (b OR c) >= (a AND b) OR (a AND c) for a general lattice, and that if we can show the opposite, that a AND (b OR...- Xael
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- Lattice Natural Natural numbers Numbers
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- Forum: Set Theory, Logic, Probability, Statistics