B737-300 FLC HAS TCASII RA WITH A FALCON JET DURING DEP FROM ONT.

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I WAS THE CAPT OF THE FLT AND IT WAS THE FO'S LEG. WE HAD DEPARTED RWY 26R UTILIZING PRADO 6 SID. AT SOME POINT WE HAD BEEN CLRED TO 10000 FT. AT APPROX BTWN ARNEE AND NIKKL INTXNS THE TCASII ALERTED US TO AN ACFT RIGHT ABOVE US. AT THE SAME TIME DEP CTL CALLED OUT THE TFC IN THE SAME LOCATION. A FEW SECONDS PASSED AND WE RECEIVED AN RA DIRECTING US TO STOP THE CLB; WE COMPLIED. DEP CTL ADVISED US THAT THE ACFT WAS VFR AND WAS NOT COMMUNICATING WITH ANYONE. THE ACFT DSNDED THROUGH OUR ALT IN FRONT OF US. BY THIS TIME WE HAD VISUAL CONTACT WITH THE ACFT AND MANEUVERED AWAY FROM IT. I ASKED DEP CTL IF THE ACFT HAD BEEN COMMUNICATING WITH ANYONE. THE CTLR TOLD US THAT THE ACFT; A FALCON JET; HAD BEEN IN CONTACT WITH CTR. A FEW MORE SECONDS PASSED AND THE FALCON JET MADE CONTACT WITH DEP CTL. THE CTLR ADVISED THE PLT OF THE FALCON ABOUT OUR LOCATION AND INFORMED HIM THAT HE HAD FLOWN VERY CLOSE TO US. DEP CTL HANDED US OFF TO CTR AND WE CONTINUED. AFTER WE LANDED; I CONTACTED THE CHIEF PLT ON CALL THROUGH DISPATCH AND INFORMED HIM OF THE EVENT. I ALSO TALKED TO THE CTLRS AT CTR AND DEP. BOTH CTLRS INFORMED ME THAT THEY WERE PULLING THE RADAR TAPES AND THEY WOULD BE INVESTIGATING THE EVENT.