Prove that 1)p = (p v q) = I 2) (p Aq) =p = I 3) (p

Prove that

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1)p = (p v q) = I 2) (p Aq) =p = I 3) (p v q) A~ p = ~(q=p) 4) (p v q) A~ p=q = I 5) (p = q) = (-q= -p) = 1 6) (p = q) = (-p = ( 7) (p = q) (-p vq) 8) (p Aq) = (p =q) 9) pA~ (p v q) = 0 10) [(p) = = (q = r)] = [(p=r) v (q = r)I 1)p = (p v q) = I 2) (p Aq) =p = I 3) (p v q) A~ p = ~(q=p) 4) (p v q) A~ p=q = I 5) (p = q) = (-q= -p) = 1 6) (p = q) = (-p = ( 7) (p = q) (-p vq) 8) (p Aq) = (p =q) 9) pA~ (p v q) = 0 10) [(p) = = (q = r)] = [(p=r) v (q = r)I

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I is an identity which is always true 1 ppq I p q pvq ppq I 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 0 since the truth value for ppq and I are exactly th... View the full answer