The California Supreme Court issued a postcard denial of appellant Jerry Carter’s petition for writ of habeas corpus, citing only In re Lindley, 29 Cal.2d 709 , 177 P.2d 918 (1947). Lindley stands for the California rule that a claim of insufficiency of evidence can only be considered on direct appeal, not in habeas proceedings. In denying a federal petition for writ of habeas corpus, the district court held that the Lindley rule is an independent and adequate state procedural bar and that appellant had procedurally defaulted his sufficiency of evidence claims by failing to pursue them to conclusion on direct appeal. We agree and affirm.

I.Background

In 1999, Carter was convicted in the state of California of six counts of robbery and one count of carjacking and sentenced to 167 years to life.

Although Carter raised one sufficiency of the evidence claim to the California Court of Appeal on direct appeal, he failed to raise any sufficiency of the evidence claims when he petitioned the California Sdpreme Court for review. After Carter’s direct appeal was concluded, he then filed a petition for writ of habeas corpus with the California Supreme Court asserting that there was insufficient evidence to support all seven of his convictions. The California Supreme Court denied the petition, issuing the following order:

Carter filed a timely federal habeas petition alleging that there was insufficient evidence to support all seven" convictions. The district court denied the petition, ruling that, by virtue of Lindley , Carter procedurally defaulted all of his sufficiency of the evidence claims by failing to raise them to the California Supreme Court on direct appeal. Citing to Kim v. Villalobos, 799 F.2d 1317, 1319 (9th Cir.1986), the district court said that a citation to Lindley by the California Supreme Court references the state procedural rule that sufficiency of the evidence will not be considered on state habeas review. The district court held that Lindley is an independent and adequate state ground on which procedural default can be based. The district court further held that Carter failed to assert grounds to establish either cause and prejudice or a fundamental miscarriage of justice to excuse his procedural default.

II. Jurisdiction and Standard ,of Review

We have jurisdiction pursuant to 28 U.S.C. § 2253 and review de novo the district court’s holding that Carter’s sufficiency of the evidence claims are procedurally barred by an independent and adequate state ground. Cockett v. Ray, 333 F.3d 938, 941 (9th Cir.2003). "

III. Discussion

Before seeking federal habeas relief, a state prisoner must fairly present all of his claims to the highest state court to provide that, court with an.opportunity to rule on the merits of the federal claims. Picard v. Connor, 404 U.S. 270, 278 , 92 S.Ct. 509 , 30 L.Ed.2d 438 (1971). If a petitioner procedurally defaults his federal claims in state court by operation of a state rule that is independent of federal law and adequate to support the judgment, federal habeas review of the claims is barred unless the prisoner can demonstrate either cause for the default and actual prejudice as a result of the alleged violation of federal law, or that failure to consider the claims will result in a fundamental miscarriage of justice. Coleman v. Thompson, 501 U.S. 722, 750 , 111 S.Ct. 2546 , 115 L.Ed.2d 640 (1991).

The issue in this case is whether the rule in Lindley is an independent and adequate ground to support a procedural default finding. In 1947, the California Supreme Court held in Lindley that it will not consider the merits of sufficiency of the evidence claims in state habeas corpus petitions. Rather, the claims must be raised on direct appeal. Lindley, 29 Cal.2d at 721-24 , 177 P.2d at 926-27 . A petitioner who fails to exhaust sufficiency of evidence claims in his direct appeal and raises them instead in a subsequent state habeas petition has procedurally defaulted those claims as a matter of California law.

A state ground is independent and adequate only if the last state court to which the petitioner presented the claim “actually relied” on a state rule that was sufficient to justify the decision. Valerio v. Crawford, 306 F.3d 742, 773 (9th Cir.2002) (en banc), cert. denied, 538 U.S. 994 , 123 S.Ct. 1788 , 155 L.Ed.2d 695 (2003); Koerner v. Grigas, 328 F.3d 1039, 1049-50 (9th Cir.2003). Here, the California Supreme Court actually relied on Lindley when it denied Carter’s claims. Indeed, Lindley is all that it cited. Carter argues that the ruling was ambiguous because the California Supreme Court failed to cite to a specific page of the Lindley decision. However, Carter raised only sufficiency of the evidence claims to the California Supreme Court in his state habeas corpus petition. The only holding of Lindley relevant to Carter’s state habeas petition is the procedural bar rule that sufficiency of the evidence cannot be raised in a state habeas petition. Thus, the citation to Lindley is not ambiguous. Cf. Coleman, 501 U.S. at 740 , 111 S.Ct. 2546 (finding that the state decision fairly appeared to rest primarily on state law because the court granted the commonwealth’s motion to dismiss, which was premised solely on procedural time requirements). Furthermore, we have held that “Lindley holds that the sufficiency of the evidence will not be reviewed on habeas.” Kim, 799 F.2d at 1319 . There is no ambiguity here.

A. Independent state ground

A state ground is independent only if it is not interwoven with federal law. Bennett v. Mueller, 322 F.3d 573, 581 (9th Cir.), cert. denied, 540 U.S. 938 , 124 S.Ct. 105 , 157 L.Ed.2d 251 (2003). As we stated in Bennett ,

Id.

The Lindley rule is not intertwined with federal substantive or procedural law. California courts reject sufficiency of the evidence claims as non-cognizable habeas claims under Lindley solely as a matter of state law. Lindley, 29 Cal.2d at 721-24 , 177 P.2d at 926-27 . No analysis of federal law enters into the Lindley equation. Thus, Lindley is an independent state ground. Cf. Bargas v. Burns, 179 F.3d 1207, 1214 (9th Cir.1999) (holding that the state procedural default rule was an independent state ground because the court considered only whether the claim was raised or could have been raised in a prior habeas petition).

B. Adequate state ground

A state rule is adequate if “firmly established and regularly followed” by the state court at the time of the petitioner’s procedural default. Lee v. Kemna, 534 U.S. 362, 389 , 122 S.Ct. 877 , 151 L.Ed.2d 820 (2002); Hill v. Roe, 321 F.3d 787, 790 (9th Cir.2003); Valerio, 306 F.3d at 776 . The ultimate burden of proving adequacy is on the state. Bennett, 322 F.3d at 585-86 . If the state adequately pleads an independent and adequate state procedural ground, the burden shifts to the petitioner to come forward with “specific factual allegations that demonstrate the inadequacy of the state procedure, including citation to authority demonstrating inconsistent application of the rule.” Id. at 586 .

The state has met its burden. Carter does not argue or come forward with any evidence that the Lindley rule is not firmly established and regularly followed by the California courts. Thus, he has not met his burden of persuasion. In any event, the California courts have consistently applied Lindley since 1947. See In re Adams, 14 Cal.3d 629, 636 , 122 Cal. Rptr. 73, 78 , 536 P.2d 473, 478 (1975); People v. Beghtel, 164 Cal.App.2d 294 , 330 P.2d 444, 446 (1958); see also In re Ring, 64 Cal.2d 450, 452 , 50 Cal.Rptr. 530, 533 , 413 P.2d 130, 133 (1966); of. In re Spears, 157 Cal.App.3d 1203 , 204 Cal.Rptr. 333, 337 (1984) (noting that although an insufficiency of the evidence claim is not a cognizable habeas claim, ineffective assistance of appellate counsel for failure to raise sufficiency of the evidence is a cognizable habeas claim). The Lindley rule, which has been “known and understood within reasonable operating limits” in California since 1947, Wood v. Hall, 130 F.3d 373, 377 (9th Cir.1997), is an adequate state ground to support the district court’s procedural default ruling.

Carter argues that a citation to Lindley is indistinguishable from a citation to In re Waltreus, 62 Cal.2d 218, 42 Cal.Rptr. 9 , 397 P.2d 1001 (1965), which we held not to be a bar to federal court review. Hill, 321 F.3d at 789 . Waltreus holds that issues actually raised and rejected on appeal cannot be raised anew in a state petition for writ of habeas corpus. Waltreus, 42 Cal. Rptr. 9 , 397 P.2d at 1005 . A Waltreus denial is neither a ruling of procedural default nor a ruling on the merits. Wal-treus merely bars relitigation in state ha-beas proceedings of claims already litigated on direct appeal. Hill, 321 F.3d at 789 ; Calderon v. United States Dist. Ct. (Bean), 96 F.3d 1126, 1131 (9th Cir.1996). If the claim barred from relitigation by Waltreus has already been decided by the California Supreme Court, that claim is properly exhausted for federal habeas corpus review. Thus, a citation to Waltreus does not prevent federal habeas review. Bean, 96 F.3d at 1131 . In contrast, a Lindley denial following the conclusion of a direct appeal is a procedural default ruling. Lindley, 177 P.2d at 926-27 .

Because the California Supreme Court actually relied on Lindley , an independent and adequate state procedural bar, the district court correctly held that Carter’s sufficiency of the evidence claims were procedurally defaulted.

AFFIRMED.