Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

Final term is not finished

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.defequiv

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

⇒ logic.propositional.compland

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.demorganand

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

⇒ logic.propositional.andoveror

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

⇒ logic.propositional.compland

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

⇒ logic.propositional.falsezeroor

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