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Identities  
x + 0 = x  x · 1 = x  
x + x = 1  x · x = 0  
x + x = x  x · x = x  
x + 1 = 1  x · 0 = 0  
Theorems  
Involution  
Commutative  x + y = y + x  x · y = y · x 
Associative  x + (y + z) = (x + y) + z  
Distributive  x · (y + z) = x · y + x · z  x + y · z = (x + y) · (x + z) 
DeMorgan  (x + y) = x · y  (x · y) = x + y 
Absorption  x + x · y = x  x · (x + y) = x 
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