How can I distinguish between my own songs and songs from Apple Music?

This is not about iTunes match. It's about iTunes Music. There isn't a forum for iTunes music, and I didn't get any answer on iTunes for mac. Maybe the issue is the same on iTunes Match, though.

I've discovered that with Apple Music I can add music from Apple music to my library. And I can then download these for listening off line. However whenever I stop paying my Apple music subscription, this music can no longer be accessed. I'm not sure what will happen to the downloaded files. I suppose they will be deleted.

Anyway, it seems very important that I can distinguish between my own music and music from Apple that I am only borrowing. I know I could go to the downloads folder in the iTunes media folder and see what's there, but that seems pretty clumsy. Is there not a way to check by looking at the library? Form a playlist or something?

Thanks.