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