Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.absorpand

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

⇒ logic.propositional.idempor

q || ~~p

⇒ logic.propositional.notnot

q || p