Fuzzy math because you will get the point of view that the overall network would be less, but for a second lets say that we would fly all flying at top market rates for each flying segment. The number if you include the JV's, Code Shares, and DCI would be about 21,700 pilots:

12,000 here
7,500 DCI
700 ALK
1500 JV Jobs

( I did not include intra country code shares. The numbers of the AF JV assume their current flights in bundle one, but are very conservative. The ALK deal is pilots that would be dedicated to ops of DAL passengers flying on ALK metal and again is quite conservative