Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.defimpl

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

⇒ logic.propositional.notnot

q || p || q || p

⇒ logic.propositional.idempor

q || p