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