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