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Lógica matemática/ yv~z>x

Expresión yv~z>x

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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