Is it possible to test $x > c$ and $y > c$ using only one condition?
If it's not possible within $(-\infty,+\infty)$, is it possible in $[0,1]$ ?
Thanks,
Is it possible to test $x > c$ and $y > c$ using only one condition?
If it's not possible within $(-\infty,+\infty)$, is it possible in $[0,1]$ ?
Thanks,
You want to know if $\min\{x,y\}>c$.
We can write: $\min\{x,y\} = \frac{x+y}2 - \frac{|x-y|}2$
Now it is simple to verify if both $x,y$ are bigger than $c$ or not.
This is a job for universality
$\rm\: a < b,c \iff a < min\{b,c\}\ $
$\rm\: a\ \ |\ \ b,c \iff a\ \ |\ \ \gcd\{b,c\}$
$\rm\: a\subset b,c \iff a\subset \ b\ \cap\ c $