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Logical Equivalence Laws

Someone please tell me if I messed up a logical operator somewhere.
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Squishmallow
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Last updated: September 11, 2025
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First submittedSeptember 11, 2025
Times taken7
Average score31.6%
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Hint
Answer
P ∨ (Q ∧ R) ≡ (P ∨ Q) ∧ (P ∨ R)
Distributive Law
P ∧ (P ∨ Q) ≡ P
Absorption Law
P ∧ T0 ≡ P
Tautology Law
P ∨ T0 ≡ T0
Tautology Law
P → Q ≡ ¬ Q → ¬ P
Contrapositive Law
P → Q ≡ ¬ P ∨ Q
Conditional Law
P ∨ Q ≡ Q ∨ P
Commutative Law
P ∨ (P ∧ Q) ≡ P
Absorption Law
¬(P ∧ Q) ≡ ¬ P ∨ ¬ Q
De Morgan's Law
P ∨ (Q ∨ R) ≡ (P ∨ Q) ∨ R
Associative Law
P ∨ P ≡ P
Idempotent Law
P ∧ P ≡ P
Idempotent Law
P ∧ (Q ∨ R) ≡ (P ∧ Q) ∨ (P ∧ R)
Distributive Law
¬(P ∨ Q) ≡ ¬ P ∧ ¬ Q
De Morgan's Law
P ∧ (Q ∧ R) ≡ (P ∧ Q) ∧ R
Associative Law
P ∧ Q ≡ Q ∧ P
Commutative Law
P ∨ F0 ≡ P
Contradiction Law
P ∧ F0 ≡ F0
Contradiction Law
¬ ¬ P ≡ P
Double Negation Law
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