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Lógica matemática/ ¬(xyz)∧¬z⇒y

Expresión ¬(xyz)∧¬z⇒y

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    Solución

    Ha introducido [src] 
    ((¬z)∧(¬(x∧y∧z)))⇒y
    $$\left(\neg z \wedge \neg \left(x \wedge y \wedge z\right)\right) \Rightarrow y$$
    Solución detallada
    $$\neg \left(x \wedge y \wedge z\right) = \neg x \vee \neg y \vee \neg z$$
    $$\neg z \wedge \neg \left(x \wedge y \wedge z\right) = \neg z$$
    $$\left(\neg z \wedge \neg \left(x \wedge y \wedge z\right)\right) \Rightarrow y = y \vee z$$
    Simplificación [src]
    $$y \vee z$$ 
    y∨z
    Tabla de verdad 
    +---+---+---+--------+
| x | y | z | result |
+===+===+===+========+
| 0 | 0 | 0 | 0      |
+---+---+---+--------+
| 0 | 0 | 1 | 1      |
+---+---+---+--------+
| 0 | 1 | 0 | 1      |
+---+---+---+--------+
| 0 | 1 | 1 | 1      |
+---+---+---+--------+
| 1 | 0 | 0 | 0      |
+---+---+---+--------+
| 1 | 0 | 1 | 1      |
+---+---+---+--------+
| 1 | 1 | 0 | 1      |
+---+---+---+--------+
| 1 | 1 | 1 | 1      |
+---+---+---+--------+
    FNDP [src]
    $$y \vee z$$ 
    y∨z
    FNC [src]
    Ya está reducido a FNC
    $$y \vee z$$ 
    y∨z
    FND [src]
    Ya está reducido a FND
    $$y \vee z$$ 
    y∨z
    FNCD [src]
    $$y \vee z$$ 
    y∨z
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