ETA: I'm sorry but , seriously-- no one bashed you. A few people asked you to dig deep and question why you feel this is your business, and some people even said "I'd want to know".... so what is up with acting like a victim?
Unless you have seen, with your own eyes, this guy taking his girlfriend into his bed, I think this is a reasonable question to ask.
Listen, my life has been horribly affected by one parent's propensity to be a big, big cheater in their married life, so I have NO sympathy for the guy. It does bear asking, though, what you feel might come from this. Approaching someone with this information is going to be dropping a bombshell, and I think it's accurate to say "Know what you are getting into before you get into it."
Original post:
How do you know this much (about them having sex in their bed.... etc.)? I'm not trying to give you a hard time, but one would naturally wonder...
I don't know how to advise you. Know that, no matter what happens, no one is likely going to thank you for this revelation and you should expect things to be stiff and uncomfortable between your households.
So, I can't tell you exactly what to do. If you tell her and she stays with the guy, she's always going to know that you know her business. If you tell her and she divorces, he's likely to be upset and wonder where she heard it from (you) , so expect some sort of repercussions. I don't know that an anonymous letter could hold water in that sort of situation-- it would be too easy for him to twist it around as mischief or jealousy....
Whatever you do, at least wait until the holidays are over, okay? This is really not what anyone needs to get dumped on them during this time, and they'll have a strong association between "Christmas-- and finding out my husband was cheating on me". Sometimes, we have to sit on information unless there is a reasonable opening to that conversation. I liked what AL suggested-- you might want to do some soul searching as to why you think she should be informed and why you have the feelings you do around this. I'm not saying you are wrong for feeling upset, but I would go forward very, very deliberately.