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Boolean Algebra Theorems
T1. Theorem:-
x + x = (x + x)*1= (x + x)(x + x’)
From P8, x + xx’ = x
From duality of T1
T2. Theorem:-
T3. Theorem:-
x + 1= (x + 1).1= (x +1)*(x + x’)
From P8, (x + 1*x’)= (x + x’)= 1
From duality of T3
T4. Theorem:-
T5. x + (y + z) = (x + y) + z
From duality of T5
T6. Theorem:-
T7. Theorem:-
From duality of T10
T11. Theorem:-
T8. Theorem:-
T9. Theorem:-
T10. Theorem:-
