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