This is true because the original statement is

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This is true, because the original statement is inherently false.
For each of the statements below, say what method of proof you should use to prove them. Then say how the proof starts and how it ends. Bonus points for filling in the middle. (a) There are no integers x and y such that x is a prime greater than 5 and x 6y + 3.
(b) For all integers n, if n is a multiple of 3, then n can be written as the sum of consecutive integers.
(c) For all integers a and b, if a^2 + b^2 is odd, then a or b is odd. Proof by contrapositive. This proof starts by letting a and b be integers. Then assume that a and b are even. This proof ends with a^2 + b^2 even. Consider the statement: for all integers n, if n is even then 8n is even. (a) Prove the statement. What sort of proof are you using?

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