Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

Final term is not finished

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

⇒ logic.propositional.defequiv

~~((~p /\ p /\ q) || (~~p /\ ~(p /\ q)) || F)

⇒ logic.propositional.compland

~~((F /\ q) || (~~p /\ ~(p /\ q)) || F)

⇒ logic.propositional.falsezeroand

~~(F || (~~p /\ ~(p /\ q)) || F)

⇒ logic.propositional.falsezeroor

~~((~~p /\ ~(p /\ q)) || F)

⇒ logic.propositional.falsezeroor

~~(~~p /\ ~(p /\ q))

⇒ logic.propositional.notnot

~~(p /\ ~(p /\ q))

⇒ logic.propositional.demorganand

~~(p /\ (~p || ~q))

⇒ logic.propositional.andoveror

~~((p /\ ~p) || (p /\ ~q))

⇒ logic.propositional.compland

~~(F || (p /\ ~q))

⇒ logic.propositional.falsezeroor

~~(p /\ ~q)