Node of Rooted Tree is on Branch

Theorem

Let $T$ be a rooted tree with root node $r_T$.

Let $t$ be a node of $T$.

Then there exists a branch $\Gamma$ of $T$ such that $t \in \Gamma$.

Proof

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Sources

• 1996: H. Jerome Keisler and Joel Robbin: Mathematical Logic and Computability ... (previous) ... (next): $\S 1.7$: Tableaus