yesterday i added a lemma to the draft i'm writing.
an hour later, i deleted it.
an hour after that, 
i rewrote a different form of the lemma.
for now, it stays.
this paper is taking longer to edit than i thought. sometimes i wonder if it will ever be finished.  there are always these little holes to patch ..
.. anyway.  let's see what can be done in a single weekend.
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