Sr Examen
Expresión (P∧Q∧R)∧¬(¬P∧R)
El profesor se sorprenderá mucho al ver tu solución correcta😉
⌨
Solución
Ha introducido
[src]
p∧q∧r∧(¬(r∧(¬p)))
$$p \wedge q \wedge r \wedge \neg \left(r \wedge \neg p\right)$$
Solución detallada
$$\neg \left(r \wedge \neg p\right) = p \vee \neg r$$
$$p \wedge q \wedge r \wedge \neg \left(r \wedge \neg p\right) = p \wedge q \wedge r$$
$$p \wedge q \wedge r \wedge \neg \left(r \wedge \neg p\right) = p \wedge q \wedge r$$
Tabla de verdad
+---+---+---+--------+ | p | q | r | result | +===+===+===+========+ | 0 | 0 | 0 | 0 | +---+---+---+--------+ | 0 | 0 | 1 | 0 | +---+---+---+--------+ | 0 | 1 | 0 | 0 | +---+---+---+--------+ | 0 | 1 | 1 | 0 | +---+---+---+--------+ | 1 | 0 | 0 | 0 | +---+---+---+--------+ | 1 | 0 | 1 | 0 | +---+---+---+--------+ | 1 | 1 | 0 | 0 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+