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A phrase used by someone who has been proved wrong with factual evidence. Instead of admitting their wrongness, they will simple reiterate the same argument and add "be that as it may" to suggest that they are compromising and admit some fault, but really don't feel any differently.
Person 1: I think your dog is shedding all over the couch

Person 2: Be that as it may, you still should vacuum it.
by The SpergGod May 15, 2012