Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
Final term is not finished
T /\ (((~q /\ ~(p -> q)) || (~q /\ ~(p -> q)) || (~q /\ ~(p -> q)) || (~q /\ ~(p -> q))) -> p)
⇒ logic.propositional.defimplT /\ (((~q /\ ~(~p || q)) || (~q /\ ~(p -> q)) || (~q /\ ~(p -> q)) || (~q /\ ~(p -> q))) -> p)
⇒ logic.propositional.defimplT /\ (((~q /\ ~(~p || q)) || (~q /\ ~(~p || q)) || (~q /\ ~(p -> q)) || (~q /\ ~(p -> q))) -> p)
⇒ logic.propositional.defimplT /\ (((~q /\ ~(~p || q)) || (~q /\ ~(~p || q)) || (~q /\ ~(~p || q)) || (~q /\ ~(p -> q))) -> p)
⇒ logic.propositional.defimplT /\ (((~q /\ ~(~p || q)) || (~q /\ ~(~p || q)) || (~q /\ ~(~p || q)) || (~q /\ ~(~p || q))) -> p)
⇒ logic.propositional.demorganorT /\ (((~q /\ ~~p /\ ~q) || (~q /\ ~(~p || q)) || (~q /\ ~(~p || q)) || (~q /\ ~(~p || q))) -> p)
⇒ logic.propositional.demorganorT /\ (((~q /\ ~~p /\ ~q) || (~q /\ ~~p /\ ~q) || (~q /\ ~(~p || q)) || (~q /\ ~(~p || q))) -> p)
⇒ logic.propositional.demorganorT /\ (((~q /\ ~~p /\ ~q) || (~q /\ ~~p /\ ~q) || (~q /\ ~~p /\ ~q) || (~q /\ ~(~p || q))) -> p)
⇒ logic.propositional.demorganorT /\ (((~q /\ ~~p /\ ~q) || (~q /\ ~~p /\ ~q) || (~q /\ ~~p /\ ~q) || (~q /\ ~~p /\ ~q)) -> p)
⇒ logic.propositional.idemporT /\ (((~q /\ ~~p /\ ~q) || (~q /\ ~~p /\ ~q)) -> p)
⇒ logic.propositional.idemporT /\ ((~q /\ ~~p /\ ~q) -> p)
⇒ logic.propositional.notnotT /\ ((~q /\ p /\ ~q) -> p)