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