Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
Final term is not finished~(~q /\ (r || F)) /\ (~~(q /\ ~q) || ~(~~~F /\ ~(p /\ ~q) /\ T /\ ~(p /\ ~q) /\ ~(p /\ ~q) /\ T /\ ~(p /\ ~q)))
⇒ logic.propositional.idempand~(~q /\ (r || F)) /\ (~~(q /\ ~q) || ~(~~~F /\ ~(p /\ ~q) /\ T /\ ~(p /\ ~q)))
⇒ logic.propositional.notnot~(~q /\ (r || F)) /\ ((q /\ ~q) || ~(~~~F /\ ~(p /\ ~q) /\ T /\ ~(p /\ ~q)))
⇒ logic.propositional.compland~(~q /\ (r || F)) /\ (F || ~(~~~F /\ ~(p /\ ~q) /\ T /\ ~(p /\ ~q)))
⇒ logic.propositional.falsezeroor~(~q /\ (r || F)) /\ ~(~~~F /\ ~(p /\ ~q) /\ T /\ ~(p /\ ~q))
⇒ logic.propositional.truezeroand~(~q /\ (r || F)) /\ ~(~~~F /\ ~(p /\ ~q) /\ ~(p /\ ~q))
⇒ logic.propositional.idempand~(~q /\ (r || F)) /\ ~(~~~F /\ ~(p /\ ~q))
⇒ logic.propositional.notnot~(~q /\ (r || F)) /\ ~(~F /\ ~(p /\ ~q))
⇒ logic.propositional.notfalse~(~q /\ (r || F)) /\ ~(T /\ ~(p /\ ~q))
⇒ logic.propositional.truezeroand~(~q /\ (r || F)) /\ ~~(p /\ ~q)
⇒ logic.propositional.notnot~(~q /\ (r || F)) /\ p /\ ~q