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