Is my duality principle proof correct?

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woundedtiger4

Have i done it correctly?

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haruspex

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A better wording (after "i.e.") would be that there exists i such that x belongs to A_i, etc.

woundedtiger4

haruspex said:

A better wording (after "i.e.") would be that there exists i such that x belongs to A_i, etc.

Thanks