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