Say I want to have the set of all integers between any two given integers $a$ and $b$. For example, if I want the set of all integers between $-3$ and $7$ I would get:
$$ \{-3,-2,-1,0,1,2,3,4,5,6,7\} $$
How would I go about writing this for any given $a,b$?
Note: If I wanted the real numbers between $a$ and $b$, I could use $[a,b]$, therefore since the Integers are a subset of the Reals, I could write $[a,b]\cap\mathbb Z$, but that just seems inelegant. Is there any other way?
A somewhat common notation is $[[a,b]]$. However, I consider it as sufficiently non-standard to recommend defining it before using it.