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