1.

Show that `A nnB = A nnB`implies `A = B`

Answer» let a be an element
`a in A`
then `a in (A uu B)`
`=> a in (A nn B)` (given)
so, `a in B`
if `b in B`
then `b in (A uu B)`
`=> b in (A nn B) => b in A`
that means for all `a in A, a in B & b in B, b in A`
so, `A=B`
hence proved


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