The Right Distributive Laws hold for all Boolean Algebras

The Right Distributive Laws of Boolean Algebra follow immediately from the Left Distributive Laws and the Commutative Laws. We can therefore add these laws directly to our table of:

Properties of Boolean Algebras
If (A, ∪, ∩, ¬, E∩, E∪ ) is a boolean algebra, then for every a, b, and c in A, the following identities hold. ----------------------------------------------------------------------------------------------------------------------------
a ∪ (b ∪ c) = (a ∪ b) ∪ c		a ∩ (b ∩ c) = (a ∩ b) ∩ c		Associativity
a ∪ (a ∩ b) = a		a ∩ (a ∪ b) = a		Absorption
a ∪ ¬a = E∩		a ∩ ¬a = E∪		Complements
a ∪ E∪= a		a ∩ E∩= a		Right identities
a ∪ b = b ∪ a		a ∩ b = b ∩ a		Commutativity
E∪ ∪ a = a		E∩ ∩ a = a		Left identities
a ∪ (b ∩ c) = (a ∪ b) ∩ (a ∪ c)		a ∩ (b ∪ c) = (a ∩ b) ∪ (a ∩ c)		Left Distributive Laws
(a ∩ b) ∪ c = (a ∪ c) ∩ (b ∪ c)		(a ∪ b) ∩ c = (a ∩ c) ∪ (b ∩ c)		Right Distributive Laws
---------------------------------------------------------------------------------------------------------------------------- Properties in black font are axioms.