The statement among the following that is a tautology is :

$(\mathrm{A} \wedge(\mathrm{A} \rightarrow \mathrm{B})) \rightarrow \mathrm{B}$

$=(A \wedge(\sim A \vee B)) \rightarrow B$

$=((A \wedge \sim A) \vee(A \wedge B)) \rightarrow B$

$=(A \wedge B) \rightarrow B$

$=\sim(A \wedge B) \vee B$

$=(\sim A \vee \sim B) \vee B$

$=T$