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now letamp;#39;s investigate what it means to negate a conditional so in this case I have this conditional P implies Q and then the question is what happens if Iamp;#39;m going to negate that particular conditional now what Iamp;#39;m going to do is Iamp;#39;m going to use just a bunch of logical equivalences here Iamp;#39;m going to get some result and then weamp;#39;re going to see whether that result makes sense to us so the first thing that I can say is that we know that that I can take this P implies Q and weamp;#39;ve just shown that this is logically equivalent to Iamp;#39;m not changing the knot here at all but we know that the inside the conditional is logically equivalent to not P or Q so that was one step and now I have a disjunct of an or statement and Center than a knot in front of it and we know that one of de Morganamp;#39;s laws applies for a scenario like this that I can take them not and I can distribute it through but it does two things it takes the order to