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Rick Hilton says Kyle Richards is so pissed off at Bravo for airing her family's dirty laundry, she's quitting the show ... but our production sources say Rick's just wrong.

We got Rick at LAX Monday, and asked about the family rift over Nicky's wedding ... where Kyle's hubby Mauricio was persona non grata.

Rick told us Kyle's upset at Bravo ... so upset she's given notice. Fact is ... we're told Kyle has threatened to quit in the past.