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