Basically yes. However A/C uses MP36PHs and not P42s.
The new EMU rolling stock won't be purchased until 2020 at the earliest, with delivery around 2022 if I'm remembering it correctly.
As it stands, the SF-SJ corridor was/is the first getting worked on. Caltrain has already upgrading the signalling/trackside power to accommodate electrification, but the biggest part of the project, going to quad tracks, starts construction early next year with a completion date around 2020-22.
Meanwhile, starting in January the state began building the HSR line itself in Fresno, currently it's focus is on connecting Madera to Santa Clarita. This will require significant engineering, namely a huge viaduct over the Fresno River and a completely new Tejon Pass. If that can be done by 2022, then all they have to do after is bridge the gap between SJ Diridon and Madera. That segment doesn't have as many issues politcs-wise as CADOT will only have to add more track and there's no major engineering required. While that happens, CADOT will also have to figure out how to connect Santa Clarita to LA Union station, which isn't much of an issue (I don't think) besides the actual electrification. The issue with LA is that there's much more freight traffic, but LA has built two bypasses for freight trains since 2000 so they're ready for HSR.
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