Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
((~q /\ ~(p -> q)) -> ((p /\ p) || F)) || ((~q /\ ~(p -> q)) -> ((p /\ p) || F))
⇒ logic.propositional.falsezeroor((~q /\ ~(p -> q)) -> (p /\ p)) || ((~q /\ ~(p -> q)) -> ((p /\ p) || F))
⇒ logic.propositional.falsezeroor((~q /\ ~(p -> q)) -> (p /\ p)) || ((~q /\ ~(p -> q)) -> (p /\ p))
⇒ logic.propositional.idempand((~q /\ ~(p -> q)) -> p) || ((~q /\ ~(p -> q)) -> (p /\ p))
⇒ logic.propositional.defimpl~(~q /\ ~(p -> q)) || p || ((~q /\ ~(p -> q)) -> (p /\ p))
⇒ logic.propositional.demorganand~~q || ~~(p -> q) || p || ((~q /\ ~(p -> q)) -> (p /\ p))
⇒ logic.propositional.idempand~~q || ~~(p -> q) || p || ((~q /\ ~(p -> q)) -> p)
⇒ logic.propositional.defimpl~~q || ~~(p -> q) || p || ~(~q /\ ~(p -> q)) || p
⇒ logic.propositional.demorganand~~q || ~~(p -> q) || p || ~~q || ~~(p -> q) || p
⇒ logic.propositional.idempor~~q || ~~(p -> q) || p
⇒ logic.propositional.notnotq || ~~(p -> q) || p
⇒ logic.propositional.notnotq || (p -> q) || p
⇒ logic.propositional.defimplq || ~p || q || p