Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

(F /\ r) || ((F || q || ~~p || F) /\ (r || q || ~~p || F)) || q || ~~p

⇒ logic.propositional.falsezeroand

F || ((F || q || ~~p || F) /\ (r || q || ~~p || F)) || q || ~~p

⇒ logic.propositional.falsezeroor

((F || q || ~~p || F) /\ (r || q || ~~p || F)) || q || ~~p

⇒ logic.propositional.falsezeroor

((q || ~~p || F) /\ (r || q || ~~p || F)) || q || ~~p

⇒ logic.propositional.absorpand

q || ~~p || F || q || ~~p

⇒ logic.propositional.falsezeroor

q || ~~p || q || ~~p

⇒ logic.propositional.idempor

q || ~~p

⇒ logic.propositional.notnot

q || p