Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.defimpl

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

⇒ logic.propositional.demorganand

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.defimpl

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.defimpl

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

⇒ logic.propositional.demorganand

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.defimpl

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

⇒ logic.propositional.idempor

q || ~p || q || p