Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
Final term is not finished(~~((~q /\ ~(p -> q)) || (~q /\ ~(p -> q))) -> p) /\ (((~q /\ ~(p -> q)) || (~q /\ ~(p -> q))) -> p)
⇒ logic.propositional.notnot(((~q /\ ~(p -> q)) || (~q /\ ~(p -> q))) -> p) /\ (((~q /\ ~(p -> q)) || (~q /\ ~(p -> q))) -> p)
⇒ logic.propositional.defimpl(((~q /\ ~(~p || q)) || (~q /\ ~(p -> q))) -> p) /\ (((~q /\ ~(p -> q)) || (~q /\ ~(p -> q))) -> p)
⇒ logic.propositional.defimpl(((~q /\ ~(~p || q)) || (~q /\ ~(~p || q))) -> p) /\ (((~q /\ ~(p -> q)) || (~q /\ ~(p -> q))) -> p)
⇒ logic.propositional.demorganor(((~q /\ ~~p /\ ~q) || (~q /\ ~(~p || q))) -> p) /\ (((~q /\ ~(p -> q)) || (~q /\ ~(p -> q))) -> p)
⇒ logic.propositional.demorganor(((~q /\ ~~p /\ ~q) || (~q /\ ~~p /\ ~q)) -> p) /\ (((~q /\ ~(p -> q)) || (~q /\ ~(p -> q))) -> p)
⇒ logic.propositional.idempor((~q /\ ~~p /\ ~q) -> p) /\ (((~q /\ ~(p -> q)) || (~q /\ ~(p -> q))) -> p)
⇒ logic.propositional.notnot((~q /\ p /\ ~q) -> p) /\ (((~q /\ ~(p -> q)) || (~q /\ ~(p -> q))) -> p)