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Formula Sheet - Math 326 Formula Sheet California State...

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Math 326 - Formula Sheet California State University, Northridge Table of Logical Equivalences Commutative p q ⇐⇒ q p p q ⇐⇒ q p Associative ( p q ) r ⇐⇒ p ( q r ) ( p q ) r ⇐⇒ p ( q r ) Distributive p ( q r ) ⇐⇒ ( p q ) ( p r ) p ( q r ) ⇐⇒ ( p q ) ( p r ) Identity p T ⇐⇒ p p F ⇐⇒ p Negation p ∨ ∼ p ⇐⇒ T p ∧ ∼ p ⇐⇒ F Double Negative ( p ) ⇐⇒ p Idempotent p p ⇐⇒ p p p ⇐⇒ p Universal Bound p T ⇐⇒ T p F ⇐⇒ F De Morgan’s ( p q ) ⇐⇒ ( p ) ( q ) ( p q ) ⇐⇒ ( p ) ( q ) Absorption p ( p q ) ⇐⇒ p p ( p q ) ⇐⇒ p Conditional ( p =
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