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