Boyfriend Sexting Girl next to me

So I went through my boyfriend’s phone and saw that he was sexting this girl he met on a dating app that we jointly downloaded as a joke. He asked her for nudes behind my back and also sent her dick pics while he was at my house. Most of these messages occurred while I was within 10 feet of him. He also has been subscribing to women on porn type apps. Recently he has been extremely controlling and accusing me of wanting to sleep with all these guys (with no reason to do so) and acting crazy towards me. Now I find out he was the actual one doing something wrong. Do you consider this cheating?