Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

(~~~(q -> r) || q || r || ((q -> r) -> q) || r) /\ (~~~(q -> r) || q || r || ((q -> r) -> q) || r)
logic.propositional.idempand
~~~(q -> r) || q || r || ((q -> r) -> q) || r
logic.propositional.defimpl
~~~(q -> r) || q || r || ~(q -> r) || q || r
logic.propositional.defimpl
~~~(q -> r) || q || r || ~(~q || r) || q || r
logic.propositional.demorganor
~~~(q -> r) || q || r || (~~q /\ ~r) || q || r
logic.propositional.notnot
~(q -> r) || q || r || (~~q /\ ~r) || q || r
logic.propositional.defimpl
~(~q || r) || q || r || (~~q /\ ~r) || q || r
logic.propositional.demorganor
(~~q /\ ~r) || q || r || (~~q /\ ~r) || q || r
logic.propositional.idempor
(~~q /\ ~r) || q || r
logic.propositional.notnot
(q /\ ~r) || q || r
logic.propositional.absorpor
q || r