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the Morganamp;#39;s lives it gives you a formula for the the interaction between negation and the and and or logical operators so in particular not quantity P or Q is the same thing as not p and not q and not quantity p and Q is the same thing as not P or not Q in order to prove this this is just going to be the third instance of a truth table computation in shorts form so Iamp;#39;m not going to go through the table super in depth but you form the table for P or Q not p and not q p and Q and not P or not q and when you do that youamp;#39;ll find that the P or Q column is The Logical opposite of the not p and not Q column and the p and Q column is logical opposite of the not P or not Q column which then you negate appropriately and you get the resulting proof of De Morganamp;#39;s laws if you want to get more practice with negations and Truth tables some other things to prove equality for would be not not p is equal to P not P implies Q is the same thing as p and not q and not P if