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  • {(\neg{A}\lor{B}\lor{C})\land({A}\lor{B}\lor{C})=...}(¬A∨B∨C)∧(A∨B∨C)
  • {(\neg{A}\lor{B}\lor{C})\land({A}\lor{B}\lor{C}) es igual a ...}(¬A∨B∨C)∧(A∨B∨C)
  • {\neg{A}\lor{B}\lor{C}\land{A}\lor{B}\lor{C}=...}¬A∨B∨C∧A∨B∨C
Lógica matemática/ {(\neg{A}\lor{B}\lor{C})\land({A}\lor{B}\lor{C})=...}(¬A∨B∨C)∧(A∨B∨C)

Expresión {(\neg{A}\lor{B}\lor{C})\land({A}\lor{B}\lor{C})=...}(¬A∨B∨C)∧(A∨B∨C)

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

    Ha introducido [src] 
    (a∨b∨c)∧(b∨c∨(¬a))∧(((a∧e∧g∧n)|(b∨l)|(c∨l))|(True))
    $$\left(\left(\left(a \wedge e \wedge g \wedge n\right) | \left(b \vee l\right) | \left(c \vee l\right)\right) | \left(\text{True}\right)\right) \wedge \left(a \vee b \vee c\right) \wedge \left(b \vee c \vee \neg a\right)$$
    Solución detallada
    $$\left(a \wedge e \wedge g \wedge n\right) | \left(b \vee l\right) | \left(c \vee l\right) = \left(\neg b \wedge \neg l\right) \vee \left(\neg c \wedge \neg l\right) \vee \neg a \vee \neg e \vee \neg g \vee \neg n$$
    $$\left(\left(a \wedge e \wedge g \wedge n\right) | \left(b \vee l\right) | \left(c \vee l\right)\right) | \left(\text{True}\right) = a \wedge e \wedge g \wedge n \wedge \left(b \vee l\right) \wedge \left(c \vee l\right)$$
    $$\left(\left(\left(a \wedge e \wedge g \wedge n\right) | \left(b \vee l\right) | \left(c \vee l\right)\right) | \left(\text{True}\right)\right) \wedge \left(a \vee b \vee c\right) \wedge \left(b \vee c \vee \neg a\right) = a \wedge e \wedge g \wedge n \wedge \left(b \vee c\right) \wedge \left(b \vee l\right) \wedge \left(c \vee l\right)$$
    Simplificación [src]
    $$a \wedge e \wedge g \wedge n \wedge \left(b \vee c\right) \wedge \left(b \vee l\right) \wedge \left(c \vee l\right)$$ 
    a∧e∧g∧n∧(b∨c)∧(b∨l)∧(c∨l)
    Tabla de verdad 
    +---+---+---+---+---+---+---+--------+
| a | b | c | e | g | l | n | result |
+===+===+===+===+===+===+===+========+
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 0 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 0 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
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| 0 | 0 | 0 | 1 | 0 | 1 | 1 | 0      |
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| 0 | 0 | 0 | 1 | 1 | 0 | 0 | 0      |
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| 0 | 0 | 0 | 1 | 1 | 0 | 1 | 0      |
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| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0      |
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| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 0      |
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| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
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| 0 | 0 | 1 | 0 | 0 | 0 | 1 | 0      |
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| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
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| 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0      |
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| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0      |
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| 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0      |
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| 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0      |
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| 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0      |
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| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
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| 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0      |
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| 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
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| 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0      |
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| 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0      |
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| 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0      |
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| 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0      |
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| 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0      |
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| 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0      |
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| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
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| 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0      |
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| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
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| 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0      |
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| 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
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| 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0      |
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| 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
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| 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0      |
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| 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0      |
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| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0      |
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| 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0      |
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| 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0      |
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| 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0      |
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| 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0      |
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| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0      |
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| 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0      |
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| 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
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| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0      |
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| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0      |
+---+---+---+---+---+---+---+--------+
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
+---+---+---+---+---+---+---+--------+
    FND [src]
    $$\left(a \wedge b \wedge c \wedge e \wedge g \wedge n\right) \vee \left(a \wedge b \wedge e \wedge g \wedge l \wedge n\right) \vee \left(a \wedge c \wedge e \wedge g \wedge l \wedge n\right) \vee \left(a \wedge b \wedge c \wedge e \wedge g \wedge l \wedge n\right)$$ 
    (a∧b∧c∧e∧g∧n)∨(a∧b∧e∧g∧l∧n)∨(a∧c∧e∧g∧l∧n)∨(a∧b∧c∧e∧g∧l∧n)
    FNDP [src]
    $$\left(a \wedge b \wedge c \wedge e \wedge g \wedge n\right) \vee \left(a \wedge b \wedge e \wedge g \wedge l \wedge n\right) \vee \left(a \wedge c \wedge e \wedge g \wedge l \wedge n\right)$$ 
    (a∧b∧c∧e∧g∧n)∨(a∧b∧e∧g∧l∧n)∨(a∧c∧e∧g∧l∧n)
    FNCD [src]
    $$a \wedge e \wedge g \wedge n \wedge \left(b \vee c\right) \wedge \left(b \vee l\right) \wedge \left(c \vee l\right)$$ 
    a∧e∧g∧n∧(b∨c)∧(b∨l)∧(c∨l)
    FNC [src]
    Ya está reducido a FNC
    $$a \wedge e \wedge g \wedge n \wedge \left(b \vee c\right) \wedge \left(b \vee l\right) \wedge \left(c \vee l\right)$$ 
    a∧e∧g∧n∧(b∨c)∧(b∨l)∧(c∨l)
    © Sr Examen