I want to write the following in standard mathematical notation.
All integers $i, j$ such that $f(i, j) > E$ and $f(k, l) > E + \Delta E$ or $f(i, j) > E + \Delta E$ and $f(k, l) > E$
where $f$ monotonically increases with the square of each integer and $E$ and $\Delta E$ are both positive. It could be also written
$f(i, j), f(k, l) > E$ and at least one of $f(i, j)$ or $f(k, l)$ are $> E + \Delta E$.
I'm looking for an easy to read way to write this, not something that involves multiplication or some other technique that enforces this constraint mathematically but might take a while for some to understand how.
Is there an easy way to write this "...at least one of these two expressions is greater than...?" requirement?