Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

(((F /\ r) || (T /\ (q || ~~p))) /\ ((F /\ r) || q || ~~p)) || F

⇒ logic.propositional.falsezeroand

((F || (T /\ (q || ~~p))) /\ ((F /\ r) || q || ~~p)) || F

⇒ logic.propositional.falsezeroand

((F || (T /\ (q || ~~p))) /\ (F || q || ~~p)) || F

⇒ logic.propositional.falsezeroor

(F || (T /\ (q || ~~p))) /\ (F || q || ~~p)

⇒ logic.propositional.falsezeroor

T /\ (q || ~~p) /\ (F || q || ~~p)

⇒ logic.propositional.absorpand

T /\ (q || ~~p)

⇒ logic.propositional.truezeroand

q || ~~p

⇒ logic.propositional.notnot

q || p