Idempotent |
p ∨ p ≡ p p ∧ p ≡ p |
Associative | (p ∧ q ) ∧ r ≡ p ∧ ( q ∧ r ) (p ∨ q ) ∨ r ≡ p ∨ ( q ∨ r ) |
Commutative | p ∧ q ≡ q ∧ p p ∨ q ≡ q ∨ p |
Distributive | p ∨ ( q ∧ r ) ≡ ( p ∨ q ) ∧ ( p ∨ r ) p ∧ ( q ∨ r ) ≡ ( p ∧ q ) ∨ ( p ∧ r ) |
Identity | p ∧ T ≡ p p ∨ F ≡ p |
Annihilation[?] | p ∨ T ≡ T p ∧ F ≡ F |
Complement[?] | p ∨ ¬ p ≡ T p ∧ ¬ p ≡ F ¬ T ≡ F ¬ F ≡ T |
Involution[?] | ¬ ¬ p ≡ p |
DeMorgan's | p ∨ q ≡ ¬ ( ¬ p ∧ ¬ q ) p ∧ q ≡ ¬ ( ¬ p ∨ ¬ q ) |
Absorption[?] | p ∧ ( p ∨ q ) ≡ p p ∨ ( p ∧ q ) ≡ p |
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