Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.defimpl

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

⇒ logic.propositional.notnot

p || q || p || q

⇒ logic.propositional.idempor

p || q