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