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    Constructing Proofs for DeMorgan's Theorem using Basic Logical Rules

    For my logic homework, I'm supposed to construct two proofs to prove that DeMorgan's is redundant. I'm not given a theorem or anything to start with. I'm only allowed to use Modus Ponens, Modus Tollens, Hypothetical Syllogism, Simplification, COnjunction, Dilemma, Disjunctive Syllogism...
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