Is it my fault he cheated?

My boyfriend wasn't interested in making plans and prioritizing others over me the past few months. I knew he was no longer into the relationship and checked out but chose to deliberately ignore it. Dated for over a year but had a feeling he was over it for months, The relationship was very toxic, he was toxic and so was I. Over and over after every fight we got into, I noticed he mentioned he has been over the relationship. After every argument it was said but he chose not to leave. He said it was because I am always constantly "belittling and talking down" on him. Since we got together my family laughed at me because they told me I could do better than him. They never met him and I didn't want them to. I asked him if he was still into the relationship and he always told me to stop thinking negatively and that it wasn't true. We went from hanging out all the time to him only having time for me when he wanted sex. He would have plans for the day and he would just see me for sex before he went on with his plans. A few weeks ago I found out he had began sleeping around. Still, with evidence and denying it was true, he was still trying to continue. So when I told him the relationship was over for good, he mentioned it was over and blocked me.
Is it my fault he cheated?
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