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Lógica matemática/ ¬(¬a∨(b∧с))

Expresión ¬(¬a∨(b∧с))

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    Solución

    Ha introducido [src] 
    ¬((¬a)∨(b∧c))
    $$\neg \left(\left(b \wedge c\right) \vee \neg a\right)$$
    Solución detallada
    $$\neg \left(\left(b \wedge c\right) \vee \neg a\right) = a \wedge \left(\neg b \vee \neg c\right)$$
    Simplificación [src]
    $$a \wedge \left(\neg b \vee \neg c\right)$$ 
    a∧((¬b)∨(¬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 | 1      |
+---+---+---+--------+
| 1 | 1 | 0 | 1      |
+---+---+---+--------+
| 1 | 1 | 1 | 0      |
+---+---+---+--------+
    FNCD [src]
    $$a \wedge \left(\neg b \vee \neg c\right)$$ 
    a∧((¬b)∨(¬c))
    FND [src]
    $$\left(a \wedge \neg b\right) \vee \left(a \wedge \neg c\right)$$ 
    (a∧(¬b))∨(a∧(¬c))
    FNDP [src]
    $$\left(a \wedge \neg b\right) \vee \left(a \wedge \neg c\right)$$ 
    (a∧(¬b))∨(a∧(¬c))
    FNC [src]
    Ya está reducido a FNC
    $$a \wedge \left(\neg b \vee \neg c\right)$$ 
    a∧((¬b)∨(¬c))
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