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Expresión AvAvAv(B->C)&B&AvC

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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