Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.notnot

(q || p) /\ (q || p)

⇒ logic.propositional.idempand

q || p