- E57
[252]Prerequisites:[23T],[026],[1Y0],[00S]. Let \(A\) be a non-empty set; we define \(B\) as the set that contains all the elements that are in all the elements of \(A\). Write a well-formed formula that defines \(B\), prove that \(B\) is indeed a set, and show that it is unique; for symmetry with the axiom [026] we will indicate it with
\[ B = \underline⋂ A\quad . \]It is related to the usual notation by the relation
\[ \underline⋂ A = ⋂ _{x\in A} x \quad . \]1
EDB — 252
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Authors:
"Mennucci , Andrea C. G."
.
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