Exercise logic.propositional.dnf
Description
Proposition to DNF
Derivation
((T /\ F /\ T /\ r) || (T /\ (q || (~~p /\ ~~~~(T /\ p)) || (~~p /\ ~~~~(T /\ p))))) /\ T
⇒ logic.propositional.truezeroand(T /\ F /\ T /\ r) || (T /\ (q || (~~p /\ ~~~~(T /\ p)) || (~~p /\ ~~~~(T /\ p))))
⇒ logic.propositional.falsezeroand(T /\ F) || (T /\ (q || (~~p /\ ~~~~(T /\ p)) || (~~p /\ ~~~~(T /\ p))))
⇒ logic.propositional.falsezeroandF || (T /\ (q || (~~p /\ ~~~~(T /\ p)) || (~~p /\ ~~~~(T /\ p))))
⇒ logic.propositional.falsezeroorT /\ (q || (~~p /\ ~~~~(T /\ p)) || (~~p /\ ~~~~(T /\ p)))
⇒ logic.propositional.truezeroandq || (~~p /\ ~~~~(T /\ p)) || (~~p /\ ~~~~(T /\ p))
⇒ logic.propositional.idemporq || (~~p /\ ~~~~(T /\ p))
⇒ logic.propositional.notnotq || (p /\ ~~~~(T /\ p))
⇒ logic.propositional.notnotq || (p /\ ~~(T /\ p))
⇒ logic.propositional.notnotq || (p /\ T /\ p)
⇒ logic.propositional.truezeroandq || (p /\ p)
⇒ logic.propositional.idempandq || p