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If A = A uu B, prove that B = A nn B....

If `A = A uu B`, prove that `B = A nn B`.

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`because A = AnnB`
`therefore A sube A uu B and A uu B sube A`
Now, let `x in B iff x in A uu B` [by definition of union]
`iff x in A [because A sube A uu B]`
`iff x in A nn B [because A sube A uu B " then also "AsubeAnnB]`
`therefore B subeAnnB and AnnBsubeB`
Hence, `AnnB = B`
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