User blog comment:Edwin Shade/A Complete Analysis of Taranovsky's Notation/@comment-30118230-20180129200050/@comment-27513631-20180129221006

Like. Okay yeah, but I'm pretty sure that the proof I'm looking at is done inside ZFC? And that the only place where power set is used is to prove the existence of successor ordinals? And that no instances of separation or replacement are used that have complexity beyond Π2?

Could you point me to where it's suggested that a strength beyond ZFC is plausible?