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Change "there exists valuation" to "there exists a valuation"
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@ -2032,7 +2032,7 @@ The intuition behind the rules may come best from working out an example.
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\newcommand{\smallsteps}[2]{#1 \to^* #2}
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\begin{theorem}
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There exists valuation $v$ such that $\smallsteps{(\mupd{\mempty}{\mathtt{input}}{2}, \mathtt{factorial})}{(v, \skipe)}$ and $\msel{v}{\mathtt{output}} = 2$.
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There exists a valuation $v$ such that $\smallsteps{(\mupd{\mempty}{\mathtt{input}}{2}, \mathtt{factorial})}{(v, \skipe)}$ and $\msel{v}{\mathtt{output}} = 2$.
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\end{theorem}
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\begin{proof}
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