Logical Equivalence Laws
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Associative Laws
(p∨q)∨r≡p∨(q∨r) (p∧q)∧r≡p∧(q∧r)
Double Negation Law
-(-p)≡p
Identity Laws
p∧T≡p p∨F≡p
Absorption Laws
p∨(p∧q)≡p p∧(p∨q)≡p
Distributive Laws
p∨(q∧r)≡(p∨q)∧(p∨r) p∧(q∨r)≡(p∧q)∨(p∧r)
Negation Laws
p∨-p≡T p∧-p≡F
Domination Laws
p∨T≡T p∧F≡F
Idempotent Laws
p∨p≡p p∧p≡p
Commutative Laws
p∨q≡q∨p p∧q≡q∧p
De Morgan's Laws
⁻(p∧q)≡-p∨-q -(p∨q)≡-p∧pq