Then shocking your body into growth. Otherwise everyone would do the exact routine week after week.
The chain is only as strong as the weakest link, the purpose of pre fatigue is to make maximum inroads on the targeted muscle, for example, the chin-up.
The prime mover here are the lats, a big muscle that needs a lot of reps to fatigue sufficiently.
The weak link here are the arms in particular the biceps will fatigue well before the lats feel much stimulation.
So a good pre-fatigue method is using the pullover, and more efficianlty the machine pullover to really target and "pre-fatigue" the lats, the trick then is to quickly, very quickly (within 5 secs) to then jump to the chin-up bar and go to fatigue.
guarenteed after a few sessions you will actually feel for the first time burning in the attachments of the lats under the arm.
some other good pre-fatigues are;
leg extensions prior to squats
french press, prior to the press
flys prior to bench press
shurgs before dead's
lateral raises before press
The best thing to do is have it set up ready to reduce down time, which is critical to doing pre-fatigue effectively.
its hard yakka and although the emphasis is on body parts, the effect on the system is really taxing and recovery will take longer between workouts.
Allow an extra day so progression is still doable.