Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.idempand

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.absorpand

p || ~~q

⇒ logic.propositional.notnot

p || q