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Lógica matemática/ ¬(¬(a∧с)∨¬(a∨b))

Expresión ¬(¬(a∧с)∨¬(a∨b))

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

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