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