Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.idempand

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

⇒ logic.propositional.idempand

q || ~~~~p || q || ~~~~p

⇒ logic.propositional.idempor

q || ~~~~p

⇒ logic.propositional.notnot

q || ~~p

⇒ logic.propositional.notnot

q || p