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all right so I had some questions in the comments about a different kind of induction question related to the stamps so in this question you were given six cent stamps and seven cent stamps and asked to show that you could create any combination of postage using these stamps above some value and zero and the goal was to figure out what the value of n0 was and I described in the comments how to do this but somebody asked for it in the form of an equation so lets see how we could do this a little more rigorously using an equation and the idea is basically P of n is the proposition that n equals 6 times a plus 7 times B where a and B our integers bigger than or equal to 0 and thats the same as saying theres some combination of 6 cent stamps a of them and 7 cent stamps B of them that adds up to a postage value of n and we know that P of 35 is true because that says theres a way to express 35 as 7 times some positive or 0 integer and in fact 35 is equal to 7 times 5 plus 6 times 0 so P