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\title{Metatheory of $\mathcal{Q}_0$}
\author{Javier D\'iaz\\\url{<javier.diaz.manzi@gmail.com>}}
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\begin{abstract}
This entry is a formalization of the metatheory of $\mathcal{Q}_0$ in Isabelle/HOL. $\mathcal{Q}_0$ \cite{andrews:2002} is a classical higher-order logic equivalent to Church's Simple Theory of Types. In this entry we formalize Chapter 5 of \cite{andrews:2002}, up to and including the proofs of soundness and consistency of $\mathcal{Q}_0$. These proof are, to the best of our knowledge, the first to be formalized in a proof assistant.
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