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Lógica matemática/ CA∨¬(CAB→(¬BA⇔CB))⇔CA∨B¬A

Expresión CA∨¬(CAB→(¬BA⇔CB))⇔CA∨B¬A

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    Solución

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