Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
Final term is not finished
(((~q /\ ~(p -> q)) -> p) /\ ((~q /\ ~(p -> q)) -> p)) || (((~(T /\ q) /\ ~(p -> q)) || (~(T /\ q) /\ ~(p -> q))) -> p)
⇒ logic.propositional.idempand((~q /\ ~(p -> q)) -> p) || (((~(T /\ q) /\ ~(p -> q)) || (~(T /\ q) /\ ~(p -> q))) -> p)
⇒ logic.propositional.defimpl~(~q /\ ~(p -> q)) || p || (((~(T /\ q) /\ ~(p -> q)) || (~(T /\ q) /\ ~(p -> q))) -> p)
⇒ logic.propositional.demorganand~~q || ~~(p -> q) || p || (((~(T /\ q) /\ ~(p -> q)) || (~(T /\ q) /\ ~(p -> q))) -> p)
⇒ logic.propositional.notnotq || ~~(p -> q) || p || (((~(T /\ q) /\ ~(p -> q)) || (~(T /\ q) /\ ~(p -> q))) -> p)
⇒ logic.propositional.notnotq || (p -> q) || p || (((~(T /\ q) /\ ~(p -> q)) || (~(T /\ q) /\ ~(p -> q))) -> p)
⇒ logic.propositional.defimplq || ~p || q || p || (((~(T /\ q) /\ ~(p -> q)) || (~(T /\ q) /\ ~(p -> q))) -> p)