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