Bf said he doesn’t leave his phone unlocked around me cause I snooped when he was cheating and now neither one of us trust each other.

I had caught my bf cheating on me cause I heard him talking to this girl on the phone in my house after he ex i himself to the bathroom thinking we couldn’t hear and he was talking quietly enough. I didn’t bring it to his attention I wanted proof first cause I couldn’t believe my ears. So I went thru his phone to see what I heard is true. My Bf said he doesn’t leave his phone unlocked around me anymore cause I snooped when he was cheating and now neither one of us trust each other. But if he has nothing to hide still would he care? I don’t trust him cause he doesn’t make me feel safe and secure in the relationship and he doesn’t trust me cause I went thru his phone. Are we both in the wrong?