Discrete Math Laws study guide verified to pass 2026
1.Communicative Laws p (q aq (p
p 'q aq 'p
2.Associative Laws (p (q) (r
ap ((q (r)
(p 'q) 'r
3. Distributive Law ap
p ((q'(q 'r)p (q) '(p (r)
'r) a(
p '(q (r) a(p 'q) ((p 'r)
4. Idempotent Laws p (p
ap p
'p
ap
5. Identity Laws p 'T
ap p
(F
ap
6. Inverse Laws
7. Domination Laws p (T
aT p
'F aF
8. Absorption Laws p ((p 'q)
ap p '(p
(q) ap
9. Expression for Exclusiov or
10. Expression for Implication
11. Rule of Contradiction
12. Rule of Simplification p
'q
4
1/
6
, p
13. Rule of Amplification
2/
6
1.Communicative Laws p (q aq (p
p 'q aq 'p
2.Associative Laws (p (q) (r
ap ((q (r)
(p 'q) 'r
3. Distributive Law ap
p ((q'(q 'r)p (q) '(p (r)
'r) a(
p '(q (r) a(p 'q) ((p 'r)
4. Idempotent Laws p (p
ap p
'p
ap
5. Identity Laws p 'T
ap p
(F
ap
6. Inverse Laws
7. Domination Laws p (T
aT p
'F aF
8. Absorption Laws p ((p 'q)
ap p '(p
(q) ap
9. Expression for Exclusiov or
10. Expression for Implication
11. Rule of Contradiction
12. Rule of Simplification p
'q
4
1/
6
, p
13. Rule of Amplification
2/
6