Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.absorpand

~(~q /\ ~~~p)

⇒ logic.propositional.notnot

~(~q /\ ~p)

⇒ logic.propositional.demorganand

~~q || ~~p

⇒ logic.propositional.notnot

q || ~~p

⇒ logic.propositional.notnot

q || p