If I have an a composite index on (a, b) I understand that queries only concerned with 'a' will still use the composite index (but not queries concerned with 'b')
My question is whether there is any valid reason to have a single-column index on 'a' if I have the (a, b) index? What I've read has seemed vague as to whether the (a,b) index was a complete substitute for a, or merely a "better than nothing" index.
This assumes that I do filtering by both a and a,b. I have a table with way too many indexes that is hurting write performance and want to double check before dropping indexes that I'm only fairly sure are not doing any good.
Also, does this answer change depending on whether I am using InnoDb or MyISAM? The table concerned is MyISAM, but most of our tables are InnoDb.