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\lecture{19}{2024-01-11}{Forcing}
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\lecture{19}{2024-01-11}{Forcing}
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Beginning with this lecture,
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the material is no longer relevant for the exam.
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Recall that $\exists x \in y.~ \phi$ abbreviates
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Recall that $\exists x \in y.~ \phi$ abbreviates
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$\exists x.~ x \in y \land \phi$
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$\exists x.~ x \in y \land \phi$
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and $\forall x \in y.~\phi$ abbreviates $\forall x.~x \in y \to \phi$.
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and $\forall x \in y.~\phi$ abbreviates $\forall x.~x \in y \to \phi$.
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