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1. |
If `A = A uu B`, prove that `B = A nn B`. |
Answer» `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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