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