EDB β€” 252

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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=⋂―A.

It is related to the usual notation by the relation

⋂―A=β‹‚x∈Ax.

Solution 1

[254]

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