I've been reading about indexes in MySQL recently, and some of the principles are quite straightforward but one concept is still bugging me: basically, if in a hypothetical table with, let's say, 10 columns, we have two single-column indexes (for column01 and column02 respectively), plus a primary key column (some other column), then are they going to be used in a simple SELECT query like this one or not:
SELECT * FROM table WHERE column01 = 'aaa' AND column02 = 'bbb'
Looking at it, my first instinct is telling me that the first index is going to retrieve a set of rows (or primary keys in InnoDB, if I got the idea right) that satisfy the first condition, and the second index will get another set. And the final result set will be just the intersection of these two. In the books that I've been going through I cannot find anything about this particular scenario. Of course, for this particular query one index on both columns seems like the best option, but I am struggling with understanding the real process behind this whole thing if I try to use two indexes that I described above.