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