Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
(T /\ ((~q /\ ~(p -> q)) -> (T /\ p))) || (T /\ ((~q /\ ~(p -> q)) -> (T /\ p)))
⇒ logic.propositional.idemporT /\ ((~q /\ ~(p -> q)) -> (T /\ p))
⇒ logic.propositional.truezeroand(~q /\ ~(p -> q)) -> (T /\ p)
⇒ logic.propositional.truezeroand(~q /\ ~(p -> q)) -> p
⇒ logic.propositional.defimpl~(~q /\ ~(p -> q)) || p
⇒ logic.propositional.demorganand~~q || ~~(p -> q) || p
⇒ logic.propositional.notnotq || ~~(p -> q) || p
⇒ logic.propositional.notnotq || (p -> q) || p
⇒ logic.propositional.defimplq || ~p || q || p