Re: DC's New 52: Reviews and Discussion (Spoilers welcolme and likely)
Further, much of Batman's trust in Booster Gold in JLI seems rooted in their relationship in the cancelled Booster Gold series, but the history of their relationship is utterly muddy at the moment; if none of the original JLI happened, then the Batman of Justice League would seem like the more obvious one.
I think it's pretty much confirmed that much or all of the original JLI never happened, since Guy Gardner and Martian Manhunter had apparently never met before when he showed up in GLC.
"In Brightest Day, in Blackest Night, no evil shall escape my sight. Let those who worship evil's might, beware my power: Green Lantern's light!"