Demi Moore and Amanda De Cadenet
04/18/2012 at 12:00 PM EDT
made her first official appearance since getting out of treatment, showing up Tuesday at a Beverly Hills house party to support her close friend, British TV host Amanda De Cadenet.
Hosted by InStyle
Managing Editor Ariel Foxman, the intimate gathering celebrated the April 26 launch of De Cadenet's Lifetime interview show, The Conversation
. Moore is both executive producer of the show and one of its inspirations.
"The conversations that [Demi] and I have on a daily basis really reflect the questions on the show," De Cadenet, 39, said in this week's PEOPLE, currently on newsstands.
"She was a great sounding board. The spirit of the show is about women supporting one another so [working with her] was great."
Before stepping out Tuesday night, Moore had stayed almost entirely out of sight since leaving treatment. Since returning from an island vacation
with friends in March, she has in fact been lying low at her L.A. home
, focusing on moving forward with her life and career, says a source.
Moore, 49, also returned to Twitter over the weekend after a three-month absence, posting a self-portrait and still using the @mrskutcher handle. However, Tuesday she did send a message to fans saying, "time for a change, twitter name change ... any suggestions?"
In November, she announced the end
of her six-year marriage to Ashton Kutcher
, 34. Two months later, Moore was hospitalized with convulsions
and sought unspecified treatment