Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
(((~q /\ ~(p -> q) /\ ~(q || (p -> q))) || (~q /\ ~(p -> q) /\ ~(q || (p -> q)))) -> p) || F
⇒ logic.propositional.falsezeroor((~q /\ ~(p -> q) /\ ~(q || (p -> q))) || (~q /\ ~(p -> q) /\ ~(q || (p -> q)))) -> p
⇒ logic.propositional.idempor(~q /\ ~(p -> q) /\ ~(q || (p -> q))) -> p
⇒ logic.propositional.defimpl~(~q /\ ~(p -> q) /\ ~(q || (p -> q))) || p
⇒ logic.propositional.gendemorganand~~q || ~~(p -> q) || ~~(q || (p -> q)) || p
⇒ logic.propositional.notnotq || ~~(p -> q) || ~~(q || (p -> q)) || p
⇒ logic.propositional.notnotq || (p -> q) || ~~(q || (p -> q)) || p
⇒ logic.propositional.defimplq || ~p || q || ~~(q || (p -> q)) || p
⇒ logic.propositional.notnotq || ~p || q || q || (p -> q) || p
⇒ logic.propositional.defimplq || ~p || q || q || ~p || q || p
⇒ logic.propositional.idemporq || ~p || q || p