Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.idempor

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

⇒ logic.propositional.demorganand

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.defimpl

q || ~p || q || p