Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

Final term is not finished

~(~(~p <-> (p /\ q)) /\ T) || (~p <-> (p /\ q))

⇒ logic.propositional.truezeroand

~~(~p <-> (p /\ q)) || (~p <-> (p /\ q))

⇒ logic.propositional.defequiv

~~((~p /\ p /\ q) || (~~p /\ ~(p /\ q))) || (~p <-> (p /\ q))

⇒ logic.propositional.compland

~~((F /\ q) || (~~p /\ ~(p /\ q))) || (~p <-> (p /\ q))

⇒ logic.propositional.falsezeroand

~~(F || (~~p /\ ~(p /\ q))) || (~p <-> (p /\ q))

⇒ logic.propositional.falsezeroor

~~(~~p /\ ~(p /\ q)) || (~p <-> (p /\ q))

⇒ logic.propositional.notnot

~~(p /\ ~(p /\ q)) || (~p <-> (p /\ q))

⇒ logic.propositional.demorganand

~(~p || ~~(p /\ q)) || (~p <-> (p /\ q))

⇒ logic.propositional.notnot

~(~p || (p /\ q)) || (~p <-> (p /\ q))