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welcome back to logic 101 im william spaniel and this lecture is on applying replacement rules so weve learned a few replacement rules before but so far weve only applied them individually in isolation what were going to be doing in this lecture and contrast is taking one statement and applying a whole bunch of replacement rules to it and allowing us to go from a very complicated statement to a very simple statement through a repeated application of replacement rules the other cool thing about this lecture is that were going to be previewing what we do with proofs in a couple of Units improves we want to have step by step calculations that explicitly show how we go from one statement to another and thats what were going to be doing here as we apply these replacement rules well be very explicit in how we go from step one to step two and step two to step three and so forth so lets get to it here is a statement on line one that says not if not Q then not P that is a bit of a mout
