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MMA's Josh Copeland

MMA fighter Josh Copeland -- who just fought (and lost) in the $1 MILLION match at PFL 11 -- was arrested for domestic violence after allegedly punching his wife so hard in the face, he left her bloodied and bruised.

It's all detailed in the police report obtained by TMZ Sports ... law enforcement in Adams County, Colorado raced to the couple's home on Feb. 2 after reports of an attack.

When they arrived at the home, Copeland's wife had "an obvious bruise on her left eye, a cut and was bleeding.