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