Started on 0.3.6, but renamed the file

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2023-05-11 17:29:25 +02:00
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assignments/week1/1.tex Normal file
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\documentclass[../main_text.tex]{subfiles}
\begin{document}
\exercise*[0.3.6]
\begin{enumerate}[label=\emph{\alph*)}]
\item Wanting to show:
$A \cap (B \cup C) = (A \cap B) \cup (A \cap C)$
In order to prove this equivalence, we have to prove the implication both ways. We use two lemmas for this.
\begin{lemma}[test]
$A \cap (B \cup C) \implies (A \cap B) \cup (A \cap C)$
Let $x \in A \cap (B \cup C)$.
\end{lemma}
\begin{definition}
Test.
\end{definition}
\item
\end{enumerate}
\end{document}