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Lógica matemática/ p^(PvR)^(Qv¬R)

Expresión p^(PvR)^(Qv¬R)

El profesor se sorprenderá mucho al ver tu solución correcta😉

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    Solución

    Ha introducido [src] 
    p∧(p∨r)∧(q∨(¬r))
    $$p \wedge \left(p \vee r\right) \wedge \left(q \vee \neg r\right)$$
    Solución detallada
    $$p \wedge \left(p \vee r\right) \wedge \left(q \vee \neg r\right) = p \wedge \left(q \vee \neg r\right)$$
    Simplificación [src]
    $$p \wedge \left(q \vee \neg r\right)$$ 
    p∧(q∨(¬r))
    Tabla de verdad 
    +---+---+---+--------+
| p | q | r | result |
+===+===+===+========+
| 0 | 0 | 0 | 0      |
+---+---+---+--------+
| 0 | 0 | 1 | 0      |
+---+---+---+--------+
| 0 | 1 | 0 | 0      |
+---+---+---+--------+
| 0 | 1 | 1 | 0      |
+---+---+---+--------+
| 1 | 0 | 0 | 1      |
+---+---+---+--------+
| 1 | 0 | 1 | 0      |
+---+---+---+--------+
| 1 | 1 | 0 | 1      |
+---+---+---+--------+
| 1 | 1 | 1 | 1      |
+---+---+---+--------+
    FNDP [src]
    $$\left(p \wedge q\right) \vee \left(p \wedge \neg r\right)$$ 
    (p∧q)∨(p∧(¬r))
    FNC [src]
    Ya está reducido a FNC
    $$p \wedge \left(q \vee \neg r\right)$$ 
    p∧(q∨(¬r))
    FNCD [src]
    $$p \wedge \left(q \vee \neg r\right)$$ 
    p∧(q∨(¬r))
    FND [src]
    $$\left(p \wedge q\right) \vee \left(p \wedge \neg r\right)$$ 
    (p∧q)∨(p∧(¬r))
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