Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
Final term is not finished(((~q /\ ~(p -> q)) -> p) /\ ((~q /\ (~(p -> q) || ~(p -> q))) -> p)) || ((~q /\ ~(p -> q)) -> p)
⇒ logic.propositional.defimpl(((~q /\ ~(p -> q)) -> p) /\ ((~q /\ (~(~p || q) || ~(p -> q))) -> p)) || ((~q /\ ~(p -> q)) -> p)
⇒ logic.propositional.defimpl(((~q /\ ~(p -> q)) -> p) /\ ((~q /\ (~(~p || q) || ~(~p || q))) -> p)) || ((~q /\ ~(p -> q)) -> p)
⇒ logic.propositional.demorganor(((~q /\ ~(p -> q)) -> p) /\ ((~q /\ ((~~p /\ ~q) || ~(~p || q))) -> p)) || ((~q /\ ~(p -> q)) -> p)
⇒ logic.propositional.demorganor(((~q /\ ~(p -> q)) -> p) /\ ((~q /\ ((~~p /\ ~q) || (~~p /\ ~q))) -> p)) || ((~q /\ ~(p -> q)) -> p)
⇒ logic.propositional.idempor(((~q /\ ~(p -> q)) -> p) /\ ((~q /\ ~~p /\ ~q) -> p)) || ((~q /\ ~(p -> q)) -> p)
⇒ logic.propositional.notnot(((~q /\ ~(p -> q)) -> p) /\ ((~q /\ p /\ ~q) -> p)) || ((~q /\ ~(p -> q)) -> p)