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A question came up given the time Aokiji joined Teach's crew and we not being so sure about when Payback war really happened.
I went for the evidences we had of each event to come to a conclusion
We recently learned that Aokiji joined Teach a year after his battle with Akainu
And that Aokiji vs Akainu was not much after Marineford War
But although Payback War wasn't as much clear about it timestamp during those 2 years it is implied that Teach right after Marineford was already conquering those territories of Whitebeard Pirates
And Jinbei also implied that only after that he started to hunt DF powers
Which we also recently learn that Aokiji was already aware of that
So pretty much Teach won Payback War just with his crew he recruited at Impel Down and only after it he recruited Aokiji.
Also important to notice that is implied that he war called Emperor for winning Payback War and not for having Aokiji under his command.
That's all.
I went for the evidences we had of each event to come to a conclusion
We recently learned that Aokiji joined Teach a year after his battle with Akainu

And that Aokiji vs Akainu was not much after Marineford War

But although Payback War wasn't as much clear about it timestamp during those 2 years it is implied that Teach right after Marineford was already conquering those territories of Whitebeard Pirates

And Jinbei also implied that only after that he started to hunt DF powers

Which we also recently learn that Aokiji was already aware of that

So pretty much Teach won Payback War just with his crew he recruited at Impel Down and only after it he recruited Aokiji.
Also important to notice that is implied that he war called Emperor for winning Payback War and not for having Aokiji under his command.
That's all.