This "fact" (see subject line) appears trivial at first glance, yet it doesn't seem to be true (at least I have not been able to find it in any textbook I know). Why is that so? Is there something more subtle about this, or is it that the proof as to why a poset with top and bottom is not a lattice is trivial and I just can't see it?
2026-04-03 04:20:34.1775190034
Why is a poset that has a minimum and a maximum *not* a lattice (and a *complete* one at that)?
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