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Using properties of sets, show that(i) ...

Using properties of sets, show that(i) `A uu( A nnB) = A` (ii) `A nn(Auu B) =A`.

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(i) `A uu (A nn B)`
`= (A uu A) nn (A uu B)` by distributive property
`= A nn (A uu B)`
`= A` =RHS, hence proved
(ii) `A nn (A uu B) = A`
`= (A nn A ) uu (A nn B)` by distributive property
`= A uu (A nn B)`
`= A`= RHS, hence proved
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