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Construct a truth table for (~p ^ q) <-->P
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\[\begin{array}{ccccc} p & q & \neg p & \neg p\wedge q & \neg p\wedge q\Leftrightarrow p\\ \hline\\ \top &\top&\bot&\bot&\bot\\ \top &\bot&\bot&\bot&\bot\\ \bot &\top&\top&\top&\bot\\ \bot &\bot&\top&\bot&\top \end{array}\]
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