Is “resp.” meant “respectively”? The sentence is intended to convey the following two sentences without writing the common parts out twice.

For each of these problems, we start by presenting the natural concern underlying it, then define the problem, and finally demonstrate that the problem can be solved.

For each of these tools, we start by presenting its intuitive objective, then define the tool, and finally demonstrate the tool can be built.

How do I find the correct use of “respectively”? I’ve seen it used this way in other technical texts.