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