Going to the bar is cheating?

My husband and i were separated for only 2 days, and he went to the bar. He told me before thats how he pick up girls and he left his ex wife cause she went to the bar. He said that if i ever go to the bar, we will be done. He even said to me one time that hes going to the bar, i said we both can go together, he refused and said only him alone. I got upset and he told me he was only joking to see what my response is. I confronted him about the bar while we were separated and working things out at the same time, and he said it isnt his fault cause i was the one that left. He began accusing me of going to the bar instead, and said it doesnt matter if he goes, cause he doesnt even know what ill be doing when hes not around. He said if i dont want him to go, i shouldve never left him that way he wouldnt even be going in the 1st place.

Idk anymore, i feel cheated on. Should i leave?