Sr Examen
Expresión A∧(A→B)→B
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Solución
Ha introducido
[src]
(a∧(a⇒b))⇒b
$$\left(a \wedge \left(a \Rightarrow b\right)\right) \Rightarrow b$$
Solución detallada
$$a \Rightarrow b = b \vee \neg a$$
$$a \wedge \left(a \Rightarrow b\right) = a \wedge b$$
$$\left(a \wedge \left(a \Rightarrow b\right)\right) \Rightarrow b = 1$$
$$a \wedge \left(a \Rightarrow b\right) = a \wedge b$$
$$\left(a \wedge \left(a \Rightarrow b\right)\right) \Rightarrow b = 1$$
Tabla de verdad
+---+---+--------+ | a | b | result | +===+===+========+ | 0 | 0 | 1 | +---+---+--------+ | 0 | 1 | 1 | +---+---+--------+ | 1 | 0 | 1 | +---+---+--------+ | 1 | 1 | 1 | +---+---+--------+