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    To prove the De Morgan's rule

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    Modern Algebra
    Set Theory (IX)
    Laws of Algebra of Sets
    De Morgan's Laws (I)

    Prove that
    A - (B union C) = (A - B) intersection (A - C)

    Also prove if B and C are subsets of A, where A is assumed to be the universal set, then

    Complement of (B union C) = (Complement of B) intersection (Complement of C)

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    https://brainmass.com/math/discrete-math/prove-de-morgans-rule-60342

    Solution Summary

    This solution is comprised of a detailed explanation to prove the De Morgan's rule. It proves that A - (B union C) = (A - B) intersection (A - C).
    It also proved that Complement of (B union C) = (Complement of B) intersection (Complement of C), where A is assumed to be the universal set.
    The solution is detailed and well presented.

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