Is there canonical reference to show that the original Cyberdyne Systems research in T2 (which was presumably destroyed by teenage John and Sarah Connor, Miles Dyson and T-800) somehow helped or influenced Robert Brewster's building of military Skynet system in T3?
In T3, upon being asked how he exists, T-850 told:
After the destruction of the company's headquarters, Cyberdyne Systems patents are obtained by the U.S. Government, with another technological corporation Cyber Research Systems. Skynet continues to be developed by the company for SAC-NORAD,and ultimately, Judgment Day occurs, just at a later date than it would have originally.
In Terminator Salvation, it was displayed that Dr. Serena Kogan from Cyberdyne Systems convinced Marcus Wright to donate his body for research in 2003. In 2018, Marcus saw a news while connected with Skynet that Cyberdyne Systems was sold to US Airforce. And, Dr. Serena's visual from Skynet side says that Dr. Serena was also behind development of Skynet.