A while ago I asked a senior mathematician a question. He made some suggestions for some papers to read and had a broad outline for what steps might work. Then I read those papers and proved a theorem and wrote it up and sent it to him.
He thought that what I wrote could be strengthened to make a more interesting paper. He suggested that I agree to co-author the paper so that he could "teach me good mathematical style." I agreed.
But it became clear over time when we met that he just wanted me to do all the work. When we met he would say things like, "Try to prove this..." I could tell that he wasn't interested in proving anything himself, even though the draft so far had results that were all due to myself.
Well, I am not a sucker. I will do everything I can to stop him from getting his name on the paper if he is not actually trying to prove anything.
He also seemed to lose interest in the project. We stopped talking because I had other things to work on, but we are generally on good terms. What should I do? The paper is just sitting in my computer doing nothing. But I want people to know that I did prove something that might be publishable.