Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

Final term is not finished

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

⇒ logic.propositional.truezeroand

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

⇒ logic.propositional.defimpl

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

⇒ logic.propositional.demorganand

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.notnot

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

⇒ logic.propositional.defimpl

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