Opinion of the Court
32.1(g). That Rule permits a defendant to bring a successive petition if “there has been a significant change in the law that, if applicable to the defendant’s case, would probably overturn the defendant’s judgment or sentence.” Ariz. Rule Crim. Proc. 32.1(g) (Cum. Supp. 2022); see also ibid. (Cum. Supp. 2017).
The Arizona Supreme Court denied relief after concluding that Lynch was not a “significant change in the law.” 251 Ariz. 203, 207, 487 P. 3d 991, 995 (2021). The Arizona Supreme Court reached this conclusion despite having repeatedly held that an overruling of precedent is a significant change in the law. See id., at 206, 487 P. 3d, at 994 (The “ ‘archetype of such a change occurs when an appellate court overrules previously binding case law’ ”).
The Court granted certiorari to address whether the Arizona Supreme Court’s holding that Lynch was not a significant change in the law for purposes of Rule 32.1(g) is an adequate and independent state-law ground for the judgment. It is not.
I
A
Cruz argued at trial and on direct appeal that the trial court violated his due process rights under Simmons by not allowing him to inform the jury that the only sentencing alternative to death in his case was life without parole.
Prior to Cruz’s trial, this Court had repeatedly reaffirmed Simmons’ holding. In case after case, the Court explained that when “a capital defendant’s future dangerousness is at issue, and the only sentencing alternative to death available to the jury is life imprisonment without possibility of parole, due process entitles the defendant ‘to inform the jury of [his] parole ineligibility, either by a jury instruction or in arguments by counsel.’ ” Shafer v. South Carolina, 532 U. S. 36, 39 (2001) (quoting Ramdass v. Angelone, 530 U. S. 156, 165 (2000) (plurality opinion)); see also Kelly v. South
