Logical Laws

Idempotent Law
(p∧p)≡p(p∨p)≡p
Commutative Law
(p∧q)≡(q∧p)(p∨q)≡(q∨p)
Associative Law
(p∧q)∧r≡p∧(q∧r)(p∨q)∨r≡p∨(q∨r)
Absorption Law
p∧(p∨q)≡pp∨(p∧q)≡p
Distributive Law
p∧(q∨r)≡(p∧q)∨(p∧r)p∨(q∧r)≡(p∨q)∧(p∨r)
Double Negation
¬¬p≡p
De Morgan's Laws
¬(p∧q)≡(¬p∨¬q)¬(p∨q)≡(¬p∧¬q)
Tertium Non Datur
(p∧¬p)≡F(p∨¬p)≡T
Identity Law
(p∧T)≡p(p∨F)≡p
Domination Law
(p∨T)≡T(p∧F)≡F