Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

(((T /\ q) -> r) -> q) || r

⇒ logic.propositional.truezeroand

((q -> r) -> q) || r

⇒ logic.propositional.defimpl

~(q -> r) || q || r

⇒ logic.propositional.defimpl

~(~q || r) || q || r

⇒ logic.propositional.demorganor

(~~q /\ ~r) || q || r

⇒ logic.propositional.notnot

(q /\ ~r) || q || r

⇒ logic.propositional.absorpor

q || r