Useful laws and theorems
Identity: X + 0 = X Dual: X • 1 = X
Null: X + 1 = 1 Dual: X • 0 = 0
Idempotent: X + X = X Dual: X • X = X
Complementarity: X + X' = 1 Dual: X • X' = 0
Commutative: X + Y = Y + X Dual: X • Y = Y • X
Associative: (X+Y)+Z=X+(Y+Z) Dual: (X•Y)•Z=X•(Y•Z)
Distributive: X•(Y+Z)=(X•Y)+(X•Z) Dual: X+(Y•Z)=(X+Y)•(X+Z)
Uniting: X•Y+X•Y'=X Dual: (X+Y)•(X+Y')=X