Question

Let {??}?∈? be an indexed collection of subsets of a set ?. Prove: a. ?\(⋃ ??)...

Let {??}?∈? be an indexed collection of subsets of a set ?. Prove:

a. ?\(⋃ ??) ?∈? = ⋂ (?\??) ?∈?

b. ?\(⋂ ??) = ⋃ (?\??) ?∈?? ∈?

Note: These are DeMorgan’s Laws for indexed collections of sets.

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