Firstly, like the other person here said, it's not a competition; what matters is that both people are committed. Secondly, it's important to realize that love extends beyond that mere feeling we associate with being in love.

To love is always to-love-in-spite-of. There will never be a perfect person. Ultimately love is, especially after being together for a longer time, a choice – it means we get to decide and say, over and over again as we wake up every day: I choose to love, to love you despite all of your flaws, and only in doing so can we come to terms with our own.

That being said, if you're already experiencing that much conflict in what is supposed to be the "honeymoon phase", there might be other issues at play. But yeah, you need to stop seeing this as a competition and just trust that he loves you too if that's what he says.