Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.idempand

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.demorganor

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.defimpl

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

⇒ logic.propositional.gendemorganand

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.notnot

q || ~p || q || p