Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.truezeroor

T /\ (q || p)

⇒ logic.propositional.truezeroand

q || p