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Dec 13, 2021 at 13:06 vote accept Dominic van der Zypen
Dec 13, 2021 at 0:41 comment added Andreas Blass You already have two correct answers, answering considerably more than you asked. But to just answer your question negatively, it suffices to notice that the standard natural numbers (the equivalence classes mod $\mathcal U$ of the constant functions $\omega\to\omega$) have no least upper bound.
Dec 12, 2021 at 16:04 answer added Alex Kruckman timeline score: 6
Dec 12, 2021 at 15:43 comment added Joseph Van Name This definition clarifies this problem. en.wikipedia.org/wiki/Complete_lattice
Dec 12, 2021 at 15:23 answer added Joseph Van Name timeline score: 3
Dec 12, 2021 at 15:07 review Close votes
Dec 21, 2021 at 3:08
Dec 12, 2021 at 14:12 history asked Dominic van der Zypen CC BY-SA 4.0