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What type of proof is this defined as?
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[QUOTE="Fredrik, post: 4862639, member: 14944"] The problem is asking about the claim "the product of an integer and its square is even". This claim should be interpreted as "For all integers n, ##n n^2## is even". To prove that this statement is false, you only need to find [I]one[/I] counterexample, i.e. one integer n such that ##nn^2## is odd. What you actually did was to prove the statement "For all odd integers n, ##nn^2## is odd". This is a theorem that you can use to prove that the given statement is false, but you didn't actually say how your theorem implies that the given statement is false, so technically, you haven't completed the proof. The final step is pretty trivial though. All you have to do is to say that your theorem implies that every odd integer is a counterexample that proves the given claim false. You can also be more specific, and say e.g. that your theorem proves that 1 is a counterexample that proves the given claim false. (But you wouldn't actually need your theorem to see that). [/QUOTE]
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Calculus and Beyond Homework Help
What type of proof is this defined as?
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