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hello and welcome to another video about logic in this video were going to talk about some additional proof methods so up until now weve been weve been introducing a bunch of new rules and ways of reasoning through things but essentially all its been has been introducing new rules that we can use in this video were gonna start looking at new directions that you can come out of proof right so new ways that you can view the problem of proving that two things are logically equivalent up until now weve been using a proof method called the direct proof and in a direct proof essentially all that youre doing is youre using a set of rules to alter the form of one of the statements until it takes the form of another right so you might be making it more complicated or you might be making it simpler but essentially youre just altering the way that youre stating something until the two things look alike so a very brief example would be P and not not P and were trying to prove its equiva
