Rules of Replacement I

Question 1

Involution Law

Answer 1

~(~p)⇔p

Question 2

Idempotent Laws

Answer 2

(p ∨ p)⇔p
(p ∧ p)⇔p

Question 3

Commutative Laws

Answer 3

(p ∨ q)⇔(q ∨ p)
(p ∧ q)⇔(q ∧ p)

Question 4

Associative Laws

Answer 4

((p ∨ q) ∨ r)⇔(p ∨ (q ∨ r))
((p ∧ q) ∧ r)⇔(p ∧ (q ∧ r))

Question 5

Identity Laws

Answer 5

(p ∨ F)⇔p
(p ∧ T)⇔p