Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
F || (F /\ r) || ((q || ~~p) /\ (q || ~~p)) || (F /\ r) || ((q || ~~p) /\ (q || ~~p))
⇒ logic.propositional.falsezeroandF || F || ((q || ~~p) /\ (q || ~~p)) || (F /\ r) || ((q || ~~p) /\ (q || ~~p))
⇒ logic.propositional.falsezeroandF || F || ((q || ~~p) /\ (q || ~~p)) || F || ((q || ~~p) /\ (q || ~~p))
⇒ logic.propositional.falsezeroorF || ((q || ~~p) /\ (q || ~~p)) || F || ((q || ~~p) /\ (q || ~~p))
⇒ logic.propositional.falsezeroorF || ((q || ~~p) /\ (q || ~~p)) || ((q || ~~p) /\ (q || ~~p))
⇒ logic.propositional.idempandF || q || ~~p || ((q || ~~p) /\ (q || ~~p))
⇒ logic.propositional.absorporF || q || ~~p
⇒ logic.propositional.notnotF || q || p