Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
((F || F) /\ r) || q || ((~~p || q || ~~p) /\ (~~p || q || ~~p)) || ((F || F) /\ r) || q || ((~~p || q || ~~p) /\ (~~p || q || ~~p))
⇒ logic.propositional.falsezeroor(F /\ r) || q || ((~~p || q || ~~p) /\ (~~p || q || ~~p)) || ((F || F) /\ r) || q || ((~~p || q || ~~p) /\ (~~p || q || ~~p))
⇒ logic.propositional.falsezeroandF || q || ((~~p || q || ~~p) /\ (~~p || q || ~~p)) || ((F || F) /\ r) || q || ((~~p || q || ~~p) /\ (~~p || q || ~~p))
⇒ logic.propositional.falsezeroorq || ((~~p || q || ~~p) /\ (~~p || q || ~~p)) || ((F || F) /\ r) || q || ((~~p || q || ~~p) /\ (~~p || q || ~~p))
⇒ logic.propositional.falsezeroorq || ((~~p || q || ~~p) /\ (~~p || q || ~~p)) || (F /\ r) || q || ((~~p || q || ~~p) /\ (~~p || q || ~~p))
⇒ logic.propositional.falsezeroandq || ((~~p || q || ~~p) /\ (~~p || q || ~~p)) || F || q || ((~~p || q || ~~p) /\ (~~p || q || ~~p))
⇒ logic.propositional.falsezeroorq || ((~~p || q || ~~p) /\ (~~p || q || ~~p)) || q || ((~~p || q || ~~p) /\ (~~p || q || ~~p))
⇒ logic.propositional.idempandq || ~~p || q || ~~p || q || ((~~p || q || ~~p) /\ (~~p || q || ~~p))
⇒ logic.propositional.idempandq || ~~p || q || ~~p || q || ~~p || q || ~~p
⇒ logic.propositional.idemporq || ~~p || q || ~~p
⇒ logic.propositional.idemporq || ~~p
⇒ logic.propositional.notnotq || p