You'll need to get a more reliable response than mine as I am not very familiar with plumbing code. But I did sleep in a Holiday Inn last night!
Actually, I just recently read in my plumbing book that drain and trap sizes are dictated by the fixture type, and are not minimums, but absolutes. Since the shower trap is under the floor, you cannot "adapt" it to the proper size of 1.5". By the way, if your sink is simply a wash basin, it should really have a 1.25" trap and drain, but it could then adapt to the 1.5" stub out.
Kitchen sinks are 1.5", wash basins 1.25", showers/tubs are 2", and toilets are 3" and 4".
One last detail that I'll touch on is the fact that sinks have the most restrictive venting rules, so that may be another area of concern. Details to be provided by someone more knowledgable.
So I think to plumb in a kitchen sink to code there, you would have to take the trap out of the floor so that the sink trap could be properly sized at 1.5". I think the vent line is also sized at 1.5", but that book is so far away right now for me to check!
It's kind of a messy job to re-do that rough plumbing, but it isn't difficult. Might be a project which delivers some good stress relief!
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Scott Sabin
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