Friday, 5 September 2014

Induction and contradiction

I want to prove a statement by induction , I tasted the base case, then I considered the induction hypothesis for $n$ , so I assumed by absurdity that is not true for $n + 1$ but this contradicts the induction hypothesis , this proof is correct ? This idea is right ? If I suppose that is not valid for $n + 1$ and this contradicts the induction hypothesis , then this is proof?

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