Am I wrong for seeing someone else 2-3 months after a 6 month toxic relationship?

I broke up with him and started seeing someone else that I met AFTER the breakup 2-3 months AFTERWARDS, but now he’s telling my friends that I emotionally cheated on him with my current boyfriend and that I’m in a rebound relationship. I’ve read about rebounding but I do not feel the need to use someone to move on. If I like someone, I go for it and I’m someone who doesn’t dwell on things, but was I supposed to wait longer in-order to date again?

Am I wrong for seeing someone else 2-3 months after a 6 month toxic relationship?
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