You're wrong.
[spoiler]Because they're on the same team and they wouldn't fight each other. Now take your hypothetical situations and shove em where the sun don't shine.[/spoiler]
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Except for the many times they've actually fought, right?
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Those don't count as canon and I like to pretend they don't exist.
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They [i]were [/i]canon, though. And even in the New 52 (which IS canon, he destroys Bats.)
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What are you talking about? None of that even exists.
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[i]What?[/i]