Brooke Mueller (left) and Denise Richards
Maury Phillips; Gregg DeGuire/WireImage
Brooke Mueller is denouncing Denise Richards
's claims against her ex-husband Charlie Sheen in their heated custody battle – claims that now include accusations about the way he handled his engagement.
Richards, 36, says that her and Sheen's two children, Sam, 3, and Lola, 2, didn't learn of their father's engagement to Mueller
, 30, until it was announced on a TV show. "That is one hundred percent untrue," Mueller tells PEOPLE. "Denise begged us on a few different occasions not to tell the girls we were engaged."
In a court filing obtained by Access Hollywood
, Richards claims Sheen, 41, and Mueller told her they purposely got engaged for "the press ... he wanted to get the cover of PEOPLE and Us
Mueller, who Sheen proposed to in July with a $500,000 diamond ring during a Costa Rican vacation, says the claim is so absurd she "won't dignify it with a response."
Also, in her complaint
, Richards filed e-mails from Mueller where she allegedly apologizes for Sheen's past tirades against his wife. Mueller believes Richards edited a version of her e-mails to bolster her custody battle with Sheen.
"It's a shame that Denise conveniently edited my e-mail correspondence to serve her own interests,"
Mueller said. "She would be both mortified and embarrassed if I released any one of her 40 e-mails to me. But she knows my character and humanity and knows that I would never do such a thing."
Mueller further denounces Richards' claims of Sheen's "inappropriate behavior ... and conduct", including "his attraction to underage women and his sexual explicitness on the Internet, including revealing his private parts."
"Denise's claims are laughable at best," says Mueller. "How would she know? She hasn't lived with Charlie for over two years. But this is a battle we will fight in court, not in the press."
Richards filed for divorce from Sheen in March, 2005, while she was six months pregnant with Lola. Although they were legally divorced in November 2006
, a final division of assets and custody rights are still being debated.
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