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Let A and B be sets. If A nnX" "=" "B nn...

Let A and B be sets. If `A nnX" "=" "B nnX" "=varphi` and `A uuX" "=" "B uuX` for some set X, show that `A" "=" "B` . (Hints `A" "=" "A nn(A uuX)," "B" "=" "B nn(B uuX)` and use Distributive law)

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