- E54
[23W]The notation in [026] differs from the usual one, which is \(⋃_{i∈ I}C_ i\), where \(I\) is a non-empty family of indices and \(C_ i\) are sets; as seen in [1Y2].
How can you define \(⋃_{i∈ I}C_ i\) using the axiom of union presented [026]? (Sugg. re-read the note [01M])
Eventually you should obtain
\begin{equation} \forall x, x\in ⋃_{i∈ I}C_ i \iff ∃ i∈ I, x\in C_ i\quad . \label{eq:unione_ simpl_ in_ logica} \end{equation}551
EDB — 23W
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Authors:
"Mennucci , Andrea C. G."
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