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