Sr Examen
Expresión (xy)(¬y)(z)⇒(xy∨z)
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Solución
Ha introducido
[src]
(x∧y∧z∧(¬y))⇒(z∨(x∧y))
$$\left(x \wedge y \wedge z \wedge \neg y\right) \Rightarrow \left(z \vee \left(x \wedge y\right)\right)$$
Solución detallada
$$x \wedge y \wedge z \wedge \neg y = \text{False}$$
$$\left(x \wedge y \wedge z \wedge \neg y\right) \Rightarrow \left(z \vee \left(x \wedge y\right)\right) = 1$$
$$\left(x \wedge y \wedge z \wedge \neg y\right) \Rightarrow \left(z \vee \left(x \wedge y\right)\right) = 1$$
Tabla de verdad
+---+---+---+--------+ | x | y | z | result | +===+===+===+========+ | 0 | 0 | 0 | 1 | +---+---+---+--------+ | 0 | 0 | 1 | 1 | +---+---+---+--------+ | 0 | 1 | 0 | 1 | +---+---+---+--------+ | 0 | 1 | 1 | 1 | +---+---+---+--------+ | 1 | 0 | 0 | 1 | +---+---+---+--------+ | 1 | 0 | 1 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+