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Fix typo
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Signed-off-by: zeramorphic <[email protected]>
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zeramorphic committed Feb 6, 2024
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4 changes: 2 additions & 2 deletions iii/forcing/02_constructibility.tex
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Expand Up @@ -196,10 +196,10 @@ \subsection{G\"odel functions}
\end{align*}
\end{itemize}

\emph{Part (ii): propositional connectives}
\emph{Part (ii): propositional connectives.}
\begin{itemize}
\item If \( \varphi \) is a termed formula, then so is \( \neg\varphi \).
\[ \mathcal F_{\neg\varphi}(a_1, \dots, a_n) &= (a_n \times \dots \times a_1) \setminus \mathcal F_\varphi(a_1, \dots, a_n) \]
\[ \mathcal F_{\neg\varphi}(a_1, \dots, a_n) = (a_n \times \dots \times a_1) \setminus \mathcal F_\varphi(a_1, \dots, a_n) \]
\item If \( \varphi, \psi \) are termed formulas, then so is \( \varphi \vee \psi \).
\[ \mathcal F_{\varphi \vee \psi}(a_1, \dots, a_n) = \mathcal F_\varphi(a_1, \dots, a_n) \cup \mathcal F_\psi(a_1, \dots, a_n) \]
It is easy to see that unions can be formed using G\"odel functions.
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