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