"This was the proceeding that essentially ended their marriage," says the source."Kate is just relieved that a very painful chapter of her life is nearly over, and she is looking forward to building a better, brighter future for herself and her kids."
During the hearing, Jon "didn't dispute Kate having primary custody of the kids," says the source, which came as no surprise to Kate.
Nor was she shocked when Jon showed up to the session with a bouquet of roses. His lawyer said they were a peace offering, but Kate saw it as something else and refused to take them.
"In what should have been their most serious moment as a couple," says the source, "Jon again resorted to a publicity stunt."