Doesn't matter. For some reason, it's human nature to still remain angry and maybe stay in a state of revenge, even when you're proven wrong. It's happened to many of us, but on a much smaller scale. We can prove to someone we were not the one who did them wrong, yet our accuser still remains angry with us and most often, the relationship is forever damaged.

Example: I pride myself on being a great neighbor. One day my neighbor (apartment) walked by me as I sat outside (we share a common breezeway) and said "I don't appreciate what you did. Why didn't you come to me if you had a fucking problem with me. Now I might get evicted" and he kicked the trashcan over in anger. I was dumbfounded. He stormed into his back door, but I wasn't having it, and knocked on his door, demanding he tell me what the hell he was going on about. He said the management company called him and said I went into the office and wrote out a complaint against him for making too much noise, partying. And was give some kind of warning. I told him it wasn't me, and confirmed with him they used my name. He said yes, they said it was you. In front of him, I immediately got on my cellphone and called the management company. She confirmed it wasn't me, much less used my name. I handed my phone to him and she told him the same thing. He then admitted they'd only told him "your neighbor". WTF? He assumed it was the person who lived on one side of him, not the other, or in front, or in back. Worse, after he hung up, he went on and on about how I needed to come to him first if I had a problem with him. Then I lost it, told him to fuck off, that he was still talking to me as if I had done it, even though I cleared my name (it was a neighbor across the alley), he was still in that frame of mind that I had to fix something, something I never had anything to do with. For the next few months, all he did wad glare at me, I was still the bad guy. But I'm fine with myself, because I got to the bottom of it and I was still the good neighbor.