Exercise logic.propositional.dnf

Description
Proposition to DNF

Derivation

~~((((~q || F) /\ ~(p -> q)) -> p) || ((~q /\ ~(p -> q)) -> p))
logic.propositional.notnot
(((~q || F) /\ ~(p -> q)) -> p) || ((~q /\ ~(p -> q)) -> p)
logic.propositional.defimpl
(((~q || F) /\ ~(p -> q)) -> p) || ~(~q /\ ~(p -> q)) || p
logic.propositional.demorganand
(((~q || F) /\ ~(p -> q)) -> p) || ~~q || ~~(p -> q) || p
logic.propositional.falsezeroor
((~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.notnot
q || ~~(p -> q) || p
logic.propositional.notnot
q || (p -> q) || p
logic.propositional.defimpl
q || ~p || q || p