Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroand

F || q || (~p -> (F || ~~(p || F) || q))

⇒ logic.propositional.falsezeroor

q || (~p -> (F || ~~(p || F) || q))

⇒ logic.propositional.falsezeroor

q || (~p -> (~~(p || F) || q))

⇒ logic.propositional.notnot

q || (~p -> (p || F || q))

⇒ logic.propositional.falsezeroor

q || (~p -> (p || q))

⇒ logic.propositional.defimpl

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

⇒ logic.propositional.notnot

q || p || p || q

⇒ logic.propositional.idempor

q || p || q