Sr Examen
Lógica matemática/ ¬((avb)→c)

Expresión ¬((avb)→c)

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

    Ha introducido [src] 
    ¬((a∨b)⇒c)
    $$\left(a \vee b\right) \not\Rightarrow c$$
    Solución detallada
    $$\left(a \vee b\right) \Rightarrow c = c \vee \left(\neg a \wedge \neg b\right)$$
    $$\left(a \vee b\right) \not\Rightarrow c = \neg c \wedge \left(a \vee b\right)$$
    Simplificación [src]
    $$\neg c \wedge \left(a \vee b\right)$$ 
    (¬c)∧(a∨b)
    Tabla de verdad 
    +---+---+---+--------+
| a | b | c | result |
+===+===+===+========+
| 0 | 0 | 0 | 0      |
+---+---+---+--------+
| 0 | 0 | 1 | 0      |
+---+---+---+--------+
| 0 | 1 | 0 | 1      |
+---+---+---+--------+
| 0 | 1 | 1 | 0      |
+---+---+---+--------+
| 1 | 0 | 0 | 1      |
+---+---+---+--------+
| 1 | 0 | 1 | 0      |
+---+---+---+--------+
| 1 | 1 | 0 | 1      |
+---+---+---+--------+
| 1 | 1 | 1 | 0      |
+---+---+---+--------+
    FNDP [src]
    $$\left(a \wedge \neg c\right) \vee \left(b \wedge \neg c\right)$$ 
    (a∧(¬c))∨(b∧(¬c))
    FNCD [src]
    $$\neg c \wedge \left(a \vee b\right)$$ 
    (¬c)∧(a∨b)
    FNC [src]
    Ya está reducido a FNC
    $$\neg c \wedge \left(a \vee b\right)$$ 
    (¬c)∧(a∨b)
    FND [src]
    $$\left(a \wedge \neg c\right) \vee \left(b \wedge \neg c\right)$$ 
    (a∧(¬c))∨(b∧(¬c))
    © Sr Examen – Калькулятор