Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

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

⇒ logic.propositional.idempor

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

⇒ logic.propositional.falsezeroor

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.defimpl

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

⇒ logic.propositional.demorganand

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.defimpl

q || ~p || q || p