Statement 1: If n is any prime number > 2, then n+1 is even.(adsbygoogle = window.adsbygoogle || []).push({});

Statement 2: For all prime numbers p, if p>2, then p is even.

The above two statements seam equivalent, but have different converses, etc.

converse 1: If n+1 is even, then n is a prime number > 2.

converse 2: For all prime numbers p, if p+1 is even, then p > 2.

If you have a statement that begins with if, is it illegal to write as a for all?

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# Logic of quantified statements: for all vs if then

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