Let us consider the following 3 propositions
1) ($n$ is good) $\iff (x=y)$
2) ($n$ is good) $\iff (x=z)$
3) ($n$ is good) $\iff (x=y=z)$
It is clear that from 1,2 we can obtain 3.
My doubt is whether is it possible to obtain 1 from 2,3 or similarly 2 from 1,3?
$\iff$ stands for if and only if
= stands for standard equal to
Thanks in advance :)