Can a prosecutor cross-examine a defendant's testimony?

and Tobin (2010) 50 Cal.4th 99, 160 [trial court did not abuse its discretion by allowing the prosecutor to question Tobin on a subject that Tobin brought up in his own testimony], citing People v. Mayfield (1997) 14 Cal.4th 668, 754 [cross-examination can explore a defendant's testimony in greater detail than the direct testimony, and, in general, the permissible scope of cross-examination is very wide]), and were, as defendant acknowledges, based on the evidence submitted by the defense.