Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.idempand

q || ~~p

⇒ logic.propositional.notnot

q || p