Exposed PVC inside the cabinet is OK.
That area of the drawing labeled santee seems odd. That could be a wye, but I don't picture how the santee would be there.
I think most people would figure to be able to rod thru the trap adapter after removing the slip joint trap. If you do vent the kitchen waste close to the sink, the lower right fitting could be a wye or santee.
Even simpler, if the distance from the U of the trap to the vertical pipe is under 6 ft, you could just run with no separate vent. So path would be trap, trap adapter, pipe (1.5 or 2 inch), trap adapter.
Thank you for the response.
That is a santee on a 45 degree angle which is a trick I learned when I was putting in a shower/tub combo and had to keep the drains in-between the joists. Of course if I have the space I can put the 45 on the wye and put the santee perfectly vertical, we will see how it works out when we start punching holes. I try to leave cleanouts because I didn't previously but hate personally when there isn't one.
I want the lower right fitting to be a santee because it is in a block wall and it is more compact than a wye.
I am aware of the 6ft rule. The sink cabinet is the second cabinet in line away from the wall. My problem is if I come in the side of the cabinet and go to the center of the back of the sink cabinet and 90 towards the drain, my total run is about 6.5ft. However, if I come in the side of the sink cabinet and then 45 towards the tailpiece diagonal across the cabinet, I think I'm at exactly 6ft, maybe 6ft1in. But it comes down to how an inspector sees it, how/where they measure, etc, etc, etc. Where on the U of the trap are we measuring from? Where in the stack are we measuring to (front of santee, center of stack, etc, etc, etc)? I need to diagram what I'm going to do before I apply for a permit.
You got me thinking there may be a way to vent my santee in the false wall in front of the block wall and run a 5ft trap arm...hmm...maybe that's the answer. In any case I'm happy to know I can run PVC exposed in the back of the cabinet as necessary, thank you.