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E54

[23W]The notation in [026] differs from the usual one, which is ⋃i∈ICi, where I is a non-empty family of indices and Ci are sets; as seen in [1Y2].

How can you define ⋃i∈ICi using the axiom of union presented [026]? (Sugg. re-read the note [01M])

Eventually you should obtain

(1)βˆ€x,xβˆˆβ‹ƒi∈ICiβŸΊβˆƒi∈I,x∈Ci.
55

Solution 1

[027]

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