Generality focuses on big picture attributes without getting bogged down in the noise of the particulars.

For example: To prove that sqrt(x^6 + 5 sin^2 cos(x-3)) is continuous you are drawn to look at the properties of that particular function. A lot to get bogged down in there.

To prove that the composition of continuous functions is continuous, you focus on the relevant properties of continuity, without the noise.