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I'm not sure what this means. Thanks for your help.

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    It is basically the same as when one writes "Handle with care" on a biochemical substance. It might be disastrous if used wrongly or with little care.2012-05-09

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Context would be useful, but I generally use it to mean the theorem requires several intricate hypotheses, all of which must be precisely stated in order to reach the desired conclusion. Such a theorem is "delicate" because it will not tolerate rough-handling (i.e. a quick and dirty statement of the hypotheses).

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    Yes, *delicate* in the sense of *easily breakable*.2012-05-09