Sr Examen
Expresión ¬(¬a∨b)∧(a→¬c)
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
(a⇒(¬c))∧(¬(b∨(¬a)))
$$\left(a \Rightarrow \neg c\right) \wedge \neg \left(b \vee \neg a\right)$$
Solución detallada
$$a \Rightarrow \neg c = \neg a \vee \neg c$$
$$\neg \left(b \vee \neg a\right) = a \wedge \neg b$$
$$\left(a \Rightarrow \neg c\right) \wedge \neg \left(b \vee \neg a\right) = a \wedge \neg b \wedge \neg c$$
$$\neg \left(b \vee \neg a\right) = a \wedge \neg b$$
$$\left(a \Rightarrow \neg c\right) \wedge \neg \left(b \vee \neg a\right) = a \wedge \neg b \wedge \neg c$$
Tabla de verdad
+---+---+---+--------+ | a | b | c | result | +===+===+===+========+ | 0 | 0 | 0 | 0 | +---+---+---+--------+ | 0 | 0 | 1 | 0 | +---+---+---+--------+ | 0 | 1 | 0 | 0 | +---+---+---+--------+ | 0 | 1 | 1 | 0 | +---+---+---+--------+ | 1 | 0 | 0 | 1 | +---+---+---+--------+ | 1 | 0 | 1 | 0 | +---+---+---+--------+ | 1 | 1 | 0 | 0 | +---+---+---+--------+ | 1 | 1 | 1 | 0 | +---+---+---+--------+