Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.idempand

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.idempand

q || p