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content/sets-functions-relations/relations/trees.tex
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A \emph{tree} is a pair $T = \tuple{A, \le}$ such that $A$ is a set
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and $\le$ is a partial order on~$A$ with a unique minimal element
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$r \in A$ (called the \emph{root}) such that for all $x \in A$,
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-the set $\Setabs{y}{y \le z}$ is well-ordered by~$\le$.
+the set $\Setabs{y}{y \le x}$ is well-ordered by~$\le$.
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\end{defn}
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\begin{defn}[Successors]
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