Can the prosecution of a writ of habeas corpus be prosecuted if a false testimony was introduced at a hearing or trial?

Section 1473, subdivision (b)(1) provides that a writ of habeas corpus may be prosecuted if "[f]alse evidence that is substantially material probative on the issue of guilt or punishment was introduced against a person at any hearing or trial relating to his incarceration...." False evidence is "substantially material or probative" (ibid.) "if there is a `reasonable probability' that, had it not been introduced, the result would have been different. [Citation.]" (In re Sassounian (1995) 9 Cal.4th 535, 546, 37 Cal.Rptr.2d 446, 887 P.2d 527.) The requisite "reasonable probability" is a chance great enough, under the totality of the circumstances, to undermine our confidence in the outcome. (Ibid.) The petitioner is not required to show that the prosecution knew or should have known that the testimony was false. ( 1473, subd. (c); People v. Marshall (1996) 13 Cal.4th 799, 830, 55 Cal.Rptr.2d 347, 919 P.2d 1280.)