Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
![](http://ideas.cs.uu.nl/images/external.png)
(~q /\ (~(p -> q) || ~((p -> q) /\ (p -> q)))) -> p
⇒ logic.propositional.defimpl(~q /\ (~(~p || q) || ~((p -> q) /\ (p -> q)))) -> p
⇒ logic.propositional.demorganor(~q /\ ((~~p /\ ~q) || ~((p -> q) /\ (p -> q)))) -> p
⇒ logic.propositional.idempand(~q /\ ((~~p /\ ~q) || ~(p -> q))) -> p
⇒ logic.propositional.defimpl(~q /\ ((~~p /\ ~q) || ~(~p || q))) -> p
⇒ logic.propositional.demorganor(~q /\ ((~~p /\ ~q) || (~~p /\ ~q))) -> p
⇒ logic.propositional.idempor(~q /\ ~~p /\ ~q) -> p
⇒ logic.propositional.notnot(~q /\ p /\ ~q) -> p