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\begin{enumerate}
\item $u:$ \quad The formula is unsat. \\
$v:$ \quad The formula is valid.
$$ u \imp \neg v $$
\item $P:$ \quad It can be proven that there exist an infinite number of primes.
$$ P $$
\item $d:$ \quad The sentence is a declarative sentence. \\
$t:$ \quad A truth value can be assigned to the sentence.
$$ d \biimp t $$
\end{enumerate}