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