Ive been training someone new at work and I suspect he has a problem with me. I'm not sure if it's a sexist thing (I get the sense it could be) or if it's a thing just against me in particular. He's not said anything outright but it's just the accumulation of things that has led me to this conclusion.

1. Every step I teach him is met with pushback. It's one thing to be curious and question, but he pushes back multiple times as if he doesn't believe my instructions are correct. It's gotten to the point where I just let him make the mistake because it's the only way he will learn.

2. He's incompetent, and making me look incompetent at training in front of my boss. I've repeated the training multiple times now, but things slip past him which is expected when it's a lot of new things you're learning. But he then tells my boss I've taught him x way, when really I have taught him y way but he's insisted on x way or forgotten y way.

3. He's asked me several times, incredulouly, about how many different things I'm trained on. As if he doesn't believe me. Or is surprised that I've been trained up so quickly despite only joining in the past 6 months. I've got 1 year of experience in the same role.

I'm considering confiding in my line manager about this because I don't want him making out like I'm incompetent. But also don't want to be seen as a rat or problematic because I'm not getting along with this person. What should I do?

Edit: I will admit I am often guilty of using phrases like "I think" or "maybe" or "do you want to" instead of "please do". I don't think anyone should change how they treat other people despite these things but maybe this is making me seem weak to him which makes him feel justified in questioning my authority on his training?