I have a simple question about the usage of "such that" in logical statements.
Let the statement S be: "For every $x \in A, f (x) > 5$."
In the negation of S:
There is an $x \in A$ such that $f (x) ≤ 5$.
The comma in S is converted to "such that" in the negation of S.
Can somebody clarify on the "such that" came in the negation of S.