Was I wrongfully terminated?

I was fired from my job because I was in a fight with a co-worker. We were friends at one time. This co-worker and I had been having problems for a while. And a few times she tried to file false criminal charges against me. She was also telling HR that I was doing things that I wasn't. After I realized she was really trying to make things hard for me I asked my manager if she could keep this person out my work area. I was trying to avoid conflict. She stayed away for awhile but continued to hang around. I have video. We got into a fight in my work area. She pushed me in my work area and I defended myself. She ran to HR saying I attacked her and got a warrant against me. I went and got a warrant against her first. I was terminated. She still has her job. I have never had any type of problems on the job accept with her. She has a disciplinary action file a mile long. She should have been terminated also. I was told I was fired because of some type of policy but never was told what.