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