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Fix typo
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Signed-off-by: zeramorphic <[email protected]>
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zeramorphic committed Feb 21, 2024
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Expand Up @@ -452,7 +452,7 @@ \subsection{???}
\end{align*}
Thus \( \dot x^G \in N \) as required.
\end{proof}
To prove the generic model theorem, it now suffices to prove the remaining axioms of \( \mathf{ZF} \), which are union, power set, replacement, and separation.
To prove the generic model theorem, it now suffices to prove the remaining axioms of \( \mathsf{ZF} \), which are union, power set, replacement, and separation.
We can prove the axiom of union now.
\begin{lemma}
Suppose \( M \) is a transitive model of \( \mathsf{ZF} \), \( \mathbb P \in M \) is a forcing poset, and \( G \subseteq \mathbb P \) is such that \( \Bbbone \in G \).
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