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