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(A&B)->~A
Use the principle p->q is equivalent to ~pVq
~(A&B)V~A
Use deMorgan's law: ~(p&q) is equivalent to ~pV~q
(~AV~B)V~A
Use the commutative law: pVq is equivalent to qVp
(~BV~A)V~A
Use the associative law: (pVq)Vr is equivalent to pV(qVr)
~BV(~AV~A)
Use the idempotent law: pVp is equivalent to p
~BV~A
Looks like the argument is not valid.
Edwin