Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.falsezeroand

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

⇒ logic.propositional.notfalse

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

⇒ logic.propositional.notfalse

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.truezeroand

~q -> (p || q || ~~p)

⇒ logic.propositional.notnot

~q -> (p || q || p)

⇒ logic.propositional.defimpl

~~q || p || q || p

⇒ logic.propositional.notnot

q || p || q || p

⇒ logic.propositional.idempor

q || p