Theorem 2.1 The operations A, V are commutative and associative, and the following equivalences are generaily valid: -AV B A⇒B (A⇒B) A (BA) (A^B) (AV B) AV (BAC) A^ (BVC) AV-A A^¬A 1. Avf 2. AVw 3. Anf 4. AAW A⇒B -B⇒¬A (A + B) -AV-B -AA-B (AV B)^(AVC) (A^B) V (AAC) 9 f A f A (implication) (contraposition) (equivalence) (De Morgan's law) (distributive law) (tautology) (contradiction)

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