Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
![](http://ideas.cs.uu.nl/images/external.png)
(F /\ F /\ r) || ((q || ~~p) /\ (q || ~~p)) || (F /\ F /\ r) || ((q || ~~p) /\ (q || ~~p))
⇒ logic.propositional.falsezeroandF || ((q || ~~p) /\ (q || ~~p)) || (F /\ F /\ r) || ((q || ~~p) /\ (q || ~~p))
⇒ logic.propositional.falsezeroandF || ((q || ~~p) /\ (q || ~~p)) || F || ((q || ~~p) /\ (q || ~~p))
⇒ logic.propositional.falsezeroor((q || ~~p) /\ (q || ~~p)) || F || ((q || ~~p) /\ (q || ~~p))
⇒ logic.propositional.falsezeroor((q || ~~p) /\ (q || ~~p)) || ((q || ~~p) /\ (q || ~~p))
⇒ logic.propositional.idempandq || ~~p || ((q || ~~p) /\ (q || ~~p))
⇒ logic.propositional.absorporq || ~~p
⇒ logic.propositional.notnotq || p