Wikipedia states that the least-upper-bound property “ is a fundamental property of the real numbers and certain other ordered sets. A set $X$ has the least-upper-bound property if and only if every non-empty subset of $X$ has a supremum in $X$.”
This seems to me to be a bad slip, because from that it follows that $\mathbb R$ does not have the least-upper-bound property. (Later in the article Wikipedia gives what I would consider to be the correct formulation of the property.)
So, am I missing something, or is this a glaring error in Wikipedia?