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