MANION, Circuit Judge.
Allen Muth and his younger sister Patricia married and had three children. After they abandoned the middle child, who was disabled, the State of Wisconsin petitioned to terminate their parental rights because of their incestuous parenthood. After the courts approved the termination, both Allen and Patricia were convicted of incest and sentenced to years in prison. In this petition for a writ of habeas corpus, Allen Muth argues that Wisconsin’s incest statute is unconstitutional insofar as it seeks to criminalize a sexual relationship between two consenting adults. The district court denied the petition. We affirm.
I.
Allen Muth and his adult sister, Patricia, were arrested by the State of Wisconsin in 1997 and charged with incest in violation of Wisconsin law. The facts leading up to this arrest are not pleasant.1 Among four[811]*811teen children in a dysfunctional family, Allen was one of the oldest and Patricia one of the youngest. During their childhood they were in and out of foster care, and they and several other siblings were involved in a cycle of sexual abuse and incest. Although they were separated for some length of time, at about the time Patricia reached the age of majority she and Allen became reunited and got married. During their marriage they had three children (apparently she had one other child prior to the marriage). The incestuous relationship came to the State’s attention when their middle child, Tiffany, was “removed from her parental home and placed in foster care because [Patricia] and Allen had abandoned her at the home of a baby-sitter.” Allen M., 571 N.W.2d at 873.
After a series of progressive separation procedures, the State filed a petition to terminate Patricia and Allen’s parental rights to Tiffany because of their incestuous parenthood of Tiffany. Neither Patricia nor Allen contested the evidence of their incest, and consequently the trial court found Patricia and Allen unfit. The evidence at that trial indicated that Tiffany was significantly underdeveloped and that “she was a non-verbal, three and one-half year old who behaved and physically appeared to be more like a two-year-old child. She was not toilet trained or able to feed herself and she displayed little or no emotion.” Id. at 874. Other evidence indicated that the child was significantly neglected and that Patricia and Allen had no relationship with the child. The court concluded that Tiffany’s best interests would be served by the termination of the parental rights of her biological parents.
On appeal to the Wisconsin Court of Appeals, Patricia and Allen challenged the constitutionality of Wis. Stat. § 48.415(7), which provides that incestuous parenthood is a ground for termination of parental rights.2 The Muths claimed that the termination of their parental rights based on their incestuous parenthood of Tiffany denied them due process of law and their rights to equal protection of the law. The court denied those claims and affirmed the trial court. Allen M., 214 Wis.2d 302, 571 N.W.2d 872.
Given the facts exposed in Allen M., the State of Wisconsin arrested Allen and Patricia and charged them with incest, in violation of Wisconsin’s criminal incest statute, which provides that:
Whoever marries or has nonmarital sexual intercourse with a person he or she knows is a blood relative and such relative is in fact related in a degree within which the marriage of the parties is prohibited by the law of this state is guilty of a Class F felony.
Wis. Stat. § 944.06.3
Prior to trial, Allen moved to dismiss the criminal complaint against him, on the ba[812]*812sis that Wisconsin’s incest statute was unconstitutional insofar as it sought to criminalize a sexual relationship between two consenting adults. The trial court denied the motion and conducted a bench trial. Both Allen and Patricia were convicted on November 11, 1997. Allen was sentenced to eight years in prison and Patricia was sentenced to five years’ imprisonment.
The Wisconsin Court of Appeals affirmed Allen’s conviction in January 2000. In its opinion, the court noted that the issue before it was whether Wisconsin’s incest statute was unconstitutional. Wisconsin v. Muth, 98-1137-CR, slip op. at 1 (Wis.Ct.App. Jan. 20, 2000) (hereinafter Muth I). The Court of Appeals also noted that it agreed with the trial court’s conclusion that Allen Muth (hereinafter Muth) had no privacy right in having sexual relations with his sister but ultimately concluded that “we need not address [the trial court’s conclusion] because we have already concluded in [Allen M.] that the State may legitimately prohibit incestuous relationships.” Id. at 2. The Wisconsin Supreme Court denied Muth’s petition for discretionary review. .
Having exhausted all state remedies, on April 20, 2001, Muth filed this petition for a writ of habeas corpus with the United States District Court for the Eastern District of Wisconsin. He challenged the constitutionality of the statute that criminalized incestuous relationships. Before the completion of briefing by the parties, the United States Supreme Court issued its decision in Lawrence v. Texas, 539 U.S. 558, 123 S.Ct. 2472, 156 L.Ed.2d 508 (2003). In that case, the Supreme Court held that a Texas statute prohibiting homosexual sodomy4 was unconstitutional insofar as it applied to the private conduct of two consenting adults. Id. at 578-79, 123 S.Ct. 2472.
On October 3, 2003, the district court denied Muth’s petition. Muth v. Wisconsin, No. 01-C-0398 (E.D.Wis. Oct. 3, 2003) [hereinafter Muth II]. The court, applying the standard of review provisions set forth in the Antiterrorism and Effective Death Penalty Act of 1996, 28 U.S.C. § 2254(d)(1) (“AEDPA”), held that Lawrence was not “clearly established” Supreme Court precedent at the time of the Wisconsin Court of Appeals’ decision on direct appeal. As such, the district court held that it could not grant habeas relief even if the Court of Appeals’ decision was contrary to Lawrence. Muth II, at 5. The district court subsequently denied Muth a certificate of appealability. This court, however, grant[813]*813ed a certificate to determine if Lawrence should apply retroactively. This appeal followed.
II.
Because of the limited power of a federal court to issue a writ of habeas corpus in a matter involving a state prisoner, a central focus of this case is whether and to what extent this court should even consider the Supreme Court’s decision in Lawrence. AEDPA instructs a federal court reviewing a state conviction on habeas review to determine whether the decision of the last state court to adjudicate the merits of the petitioner’s claim was reasonably correct as of the time the decision ivas made. As discussed below, only in limited circumstances are legal developments occurring after the state court’s decision considered.
Lawrence was decided after Muth’s conviction and the exhaustion of his state post-conviction remedies. Muth has not identified, and we have not found, a federal court decision (and certainly not a Supreme Court decision) prior to the Wisconsin Court of Appeals decision in Muth I that even discussed whether criminal penalties for incest might be unconstitutional. The closest decision having some bearing and still valid in 2001 was the Supreme Court’s decision in Bowers v. Hardwick, 478 U.S. 186, 106 S.Ct. 2841, 92 L.Ed.2d 140 (1986), overruled by Lawrence, 539 U.S. at 578, 123 S.Ct. 2472. In that case, the Court held that a Georgia law banning sodomy was not unconstitutional even when applied to consenting adults. Although Bowers did not deal with incest, it can be safely assumed that a court unwilling to find a law banning sodomy unconstitutional would be no more inclined to find a law prohibiting incest unconstitutional.
Because Lawrence overruled Bowers, and because there is no other related precedent, Muth understandably invokes Lawrence as his only hope for success. The district court held, however, that Lawrence could not be considered because it was not clearly established in 2001 when the Wisconsin Court of Appeals issued its decision in Muth I. At this point we need first to review the district court’s decision that Muth I was an adjudication on the merits and if so, whether AEDPA standards of review applied to Muth’s claim (Part A). Next, we consider the question raised sua sponte by this court in its order granting Muth the certificate of appealability: whether Lawrence is retroactively applicable (Part B).
A. Whether Muth I was an adjudication on the merits.
Under AEDPA, a federal court may issue a writ of habeas corpus in cases involving prisoners convicted by a state only where the applicable state court proceedings:
(1) resulted in a decision that was contrary to, or involved an unreasonable application of, clearly established Federal law, as determined by the Supreme Court of the United States; or
(2) resulted in a decision that was based on an unreasonable determination of the facts in light of the evidence presented in the State court proceeding.
28 U.S.C. § 2254(d)(l)-(2). This case is concerned only with subsection (d)(1).
“[A] state court decision is ‘contrary to’ federal law if the state court either incorrectly laid out governing Supreme Court precedent, or, having identified the correct rule of law, decided a case differently than a materially factually indistinguishable Supreme Court case.” Conner v. McBride, 375 F.3d 643, 649 (7th Cir.2004), cert. denied, — U.S.-, 125 S.Ct. 1399, 161 L.Ed.2d 193 (2005). “An [814]*814‘unreasonable application’ of Supreme Court precedent occurs when ‘the state court identifies the correct governing legal rule... but unreasonably applies it to the facts of the particular state prisoner’s case’ or ‘if the state court either unreasonably extends a legal principle from [the Court’s] precedent to a new context where it should not apply or unreasonably refuses to extend that principle to a new context where it should apply.’ ” Dixon v. Snyder, 266 F.3d 693, 700 (7th Cir.2001) (quoting Williams v. Taylor, 529 U.S. 362, 405, 120 S.Ct. 1495, 146 L.Ed.2d 389 (2000)). “Clearly established” Supreme Court precedent is “the holdings, as opposed to the dicta, of the [Supreme] Court’s decisions as of the time of the relevant state-court decision.” Lockyer v. Andrade, 538 U.S. 63, 71, 123 S.Ct. 1166, 155 L.Ed.2d 144 (2003).
The district court held that because Lawrence had not been decided at the time the Wisconsin Court of Appeals denied Muth’s appeal, it obviously could not be clearly established Supreme Court precedent. Importantly, however, before applying the “clearly established” standard of review, the reviewing court must first determine whether the claim “was adjudicated on the merits in State court proceedings.” 28 U.S.C. § 2254(d) (emphasis added). In other words, § 2254’s standards apply only when a state court has decided the merits of the issue raised by the petitioner. If the state court did not reach the merits, § 2254 does not apply and this court applies the general habeas standard set forth at 28 U.S.C. § 2243. Braun v. Powell, 227 F.3d 908, 916-17 (7th Cir2000).
The question then is whether the Wisconsin Court of Appeals reached the merits of Muth’s constitutional claim. If it did, a writ will issue only if pre-Lawrence precedents of the Supreme Court (leaving aside for the moment whether Lawrence is retroactive and whether it even applies) clearly established that criminalizing incestuous conduct between two consenting adults was unconstitutional. As we indicated above, Muth has no hope for a writ if Lawrence cannot be considered. If, however, the Court of Appeals did not reach the merits, AEDPA does not apply and this court may consider Lawrence in determining whether to issue a writ.
Muth argues that the Wisconsin Court of Appeals did not reach the merits of his constitutional claim. As noted above, in Muth I the Court of Appeals stated that it agreed with the decision of the trial court that Muth did not have a privacy right to have sexual intercourse with his sister. It also decided, however, that it did not have to reach the conclusion reached by the trial court because it had already decided that the state could prohibit incestuous relationships in an earlier case — State v. Allen M. Muth I, slip op. at 2 (“Because we have already concluded that the State has a compelling interest in prohibiting incest, we reject Muth’s challenges to the constitutionality of the incest statute.”). Muth argues that the Court of Appeals did not adjudicate the merits of his claim because the court in Allen M. did not consider the criminal statute at issue here. Instead, Allen M. considered Wisconsin’s statute that permits the termination of parental rights where the children are the product of an incestuous relationship. Allen M., 571 N.W.2d at 876. Muth thus argues that the Court of Appeals misread or misapplied its earlier decision in Allen M. According to Muth, Allen M. dealt with a different statute and did not stand for the proposition the court in Muth I suggested it did. Because the Court of Appeals relied solely on Allen M. to decide Muth I, and Allen M. did not resolve the claim under Wis. Stat. § 944.06 at issue in [815]*815Muth I, according to Muth, Muth I was not an adjudication on the merits.
We disagree. Even assuming the Wisconsin Court of Appeals misread or misapplied Alim M., the decision in Muth I was an adjudication on the merits of Muth’s claim that Wisconsin’s criminal prohibition of incest was unconstitutional insofar as it applied to the private conduct of two consenting adults. AEDPA’s requirement that a petitioner’s claim be adjudicated on the merits by a state court is not an entitlement to a well-articulated or even a correct decision by a state court.5 In fact, several circuits have held that a state court need not offer any reasons and summarily dispose of a petitioner’s claim and that summary disposition would be an adjudication on the merits. Chadwick v. Janecka, 312 F.3d 597, 606 (3d Cir.), cert. denied, 538 U.S. 1000, 123 S.Ct. 1914, 155 L.Ed.2d 828 (2003); Wright v. Dep’t of Com., 278 F.3d 1245, 1254-55 (11th Cir.2002), cert. denied, 538 U.S. 906, 123 S.Ct. 1511, 155 L.Ed.2d 225 (2003); Sellan v. Kuhlman, 261 F.3d 303, 310-12 (2d Cir.2001); Bell v. Jarvis, 236 F.3d 149, 158-62 (4th Cir.2000) (en banc); Harris v. Stovall, 212 F.3d 940, 943 n. 1 (6th Cir.2000); Aycox v. Lytle, 196 F.3d 1174, 1177-78 (10th Cir.1999); James v. Bowersox, 187 F.3d 866, 869 (8th Cir.1999); Delgado v. Lewis, 181 F.3d 1087, 1091-92 n. 3 (9th Cir.1999), vacated on other grounds by, 528 U.S. 1133, 120 S.Ct. 1002, 145 L.Ed.2d 926 (2000); see also Weeks v. Angelone, 528 U.S. 225, 237, 120 S.Ct. 727, 145 L.Ed.2d 727 (2000).6
An adjudication on the merits is perhaps best understood by stating what it is not: it is not the resolution of a claim on procedural grounds. See Sellan, 261 F.3d at 311 (“ Adjudicated on the merits’ has a well settled meaning: a decision finally resolving the parties’ claims, with res judicata effect, that is based on the substance of the claim advanced, rather than on a procedural, or other, ground.”); Neal v. Puckett, 286 F.3d 230, 235 (5th Cir.2002) (“adjudication ‘on the merits’ is a term of art that refers to whether a court’s disposition of the case was substantive as opposed to procedural”), cert. denied, 537 U.S. 1104, 123 S.Ct. 963, 154 L.Ed.2d 772 (2003). It is only after a federal court has determined that a state court has adjudicated a claim on the merits that the correctness of the state court’s decision is considered.7 Only then can a federal court [816]*816consider a court’s reasoning (assuming it has provided one, see above). The district court in this case put it quite succinctly:
Nevertheless, the fact that the court of appeals may have misread or misapplied its own precedent does not mean that it did not adjudicate the merits of Muth’s constitutional challenge as required by § 2254(d). As noted, the court of appeals framed the issue as whether the incest statute was constitutional and went on to hold that it was. The court’s poor reasoning may provide a basis for finding that its decision was “contrary to” or involved an “unreasonable application” of clearly established federal law, but it is not grounds for finding that the court failed to adjudicate the claim on the merits.
Muth II, slip op. at 7.
Viewed thus, it is clear the Wisconsin Court of Appeals adjudicated Muth’s appeal on the merits. Because it did, our review is limited to determining whether the decision reached by Muth I was contrary to “clearly established Federal law” at the time that Muth I was decided. Unless Lawrence is retroactive, that is unless it applies to cases that became final prior to June 26, 2003 (the date Lawrence was decided), it should not even be considered in resolving Muth’s claim. We thus turn next to the retroactivity question.
B. Whether Lawrence should be retroactively applied to Muth.
As noted above, this court, in its order granting Muth a certificate of appealability, raised sua sponte the following issue: whether the Lawrence decision should be retroactively applied to Muth. In considering this issue, the parties focused primarily on the Supreme Court’s decision in Teague v. Lane, 489 U.S. 288, 109 S.Ct. 1060, 103 L.Ed.2d 334 (1989). In Teague, a plurality of justices held that a petitioner for a writ of habeas corpus would not have the benefit of new constitutional rules of criminal procedure announced by the Supreme Court after the petitioner’s conviction had become final. Teague, 489 U.S at 310, 109 S.Ct. 1060 (O’Connor, J., plurality opinion).8 There are two “exceptions” to this doctrine of non-retroactivity: 1) the rule “places a class of private conduct beyond the power of the State to proscribe,” id. at 311, 109 S.Ct. 1060 (quoting Mackey v. United States, 401 U.S. 667, 692, 91 S.Ct. 1160, 28 L.Ed.2d 404 (1971) (Harlan, J., concurring in part and dissenting in part)), or; 2) the rule is a “watershed rule” that implicates the fundamental fairness and accuracy of the criminal proceeding, id.
Muth argues that the first exception applies here, that is, Lawrence announced a new rule that placed his private conduct (an act of incest with a consenting adult) beyond Wisconsin’s power to criminalize. But Teague is not strictly applicable to this case. Teague is concerned with the retroactivity of new constitutional rules of criminal procedure. Bousley v. United States, 523 U.S. 614, 620, 118 S.Ct. 1604, 140 L.Ed.2d 828 (1998) (“Teague by its own terms applies only to procedural rules .... ”). Confusion on this point is not surprising. See Schriro v. Summerlin, 542 U.S. 348, - n. 4, 124 S.Ct. 2519, 2522 n. 4, 159 L.Ed.2d 442 (2004) (“We have sometimes referred to rules of this [817]*817latter type as falling under an exception to Teague’s bar on retroactive application of procedural rules; they are more accurately characterized as substantive rules not subject to the bar.”) (internal citation omitted); see also Beard v. Banks, 542 U.S. 406,-n. 3, 124 S.Ct. 2504, 2510 n. 3, 159 L.Ed.2d 494 (2004).
Lawrence did not announce, and Muth does not seek to have this court find retroactive, a new 'procedural rule. Lawrence held that a state cannot enact laws that criminalize homosexual sodomy. Lawrence is a new substantive rule and is thus retroactive. Anderson v. Morrow, 371 F.3d 1027, 1033 (9th Cir.2004). Accordingly, an adult imprisoned for violating a state’s sodomy law (provided that person’s conduct took place with another consenting adult) would be eligible for a writ of habe-as corpus. If it would be unconstitutional to punish a person for an act that cannot be subject to criminal penalties it is no less unconstitutional to keep a person in prison for committing the same act. See Mackey, 401 U.S. at 693, 91 S.Ct. 1160 (Harlan, J., concurring in part and dissenting in part) (“There is little societal interest in permitting the criminal process to rest at a point where it ought properly never to repose.”).
Muth, however, is not in prison for homosexual sodomy. The ultimate question then is not whether Lawrence is retroactive, but, rather, whether Muth is a beneficiary of the rule Laturence announced. He is not. Lawrence did not address the constitutionality of incest statutes. Rather, the statute at issue in Lawrence was one proscribing homosexual sodomy and the Court, as noted above, viewed its decision as a reconsideration of Bowers, another case involving homosexual sodomy. Lawrence, 539 U.S. at 564, 123 S.Ct. 2472 (“[W]e deem it necessary to reconsider the Court’s holding in Bowers.”). There is no mention of incest in the Court’s opinion.
Lawrence also did not announce, as Muth claims it did, a fundamental right, protected by the Constitution, for adults to engage in all manner of consensual sexual conduct, specifically in this case, incest. The Court certainly had not announced such a right prior to Lawrence, see Carey v. Population Servs. Int’l, 431 U.S. 678, 688 n. 5 & n. 17, 97 S.Ct. 2010, 52 L.Ed.2d 675 (1977) (“[T]he Court has not definitively answered the difficult question whether and to what extent the Constitution prohibits statutes regulating private consensual sexual behavior among adults, and we do not purport to answer that question now.”) (internal citation and punctuation omitted), and Laiorence, whatever its ramifications, does not, in and of itself, go so far.
This is clear from the Court’s analysis in Lawrence. In Lawrence in holding the state sodomy statute unconstitutional, the Court did not apply the specific method it had previously created for determining whether a substantive due process claim implicated a fundamental right:
First, we have regularly observed that the Due Process Clause specially protects those fundamental rights and liberties which are, objectively, “deeply rooted in this Nation’s history and tradition,” and “implicit in the concept of ordered liberty,” such that “neither liberty nor justice would exist if they were sacrificed.” Second, we have required in substantive-due-process cases a “careful description” of the asserted fundamental liberty interest.
Washington v. Glucksberg, 521 U.S. 702, 720-21, 117 S.Ct. 2258, 138 L.Ed.2d 772 (1997) (internal citations omitted). This method, referred to by the Court as “established,” id. at 720, 117 S.Ct. 2258, is absent from Lawrence. See Lawrence, 539 U.S. at 586, 123 S.Ct. 2472 (Scalia, J., [818]*818dissenting) (“[Njowhere does the Court’s opinion declare that homosexual sodomy is a ‘fundamental right’ under the Due Process Clause... ”).
This omission led the Eleventh Circuit to conclude that Lawrence did not announce a “fundamental right to private sexual intimacy”:
[TJhe Lawrence opinion contains virtually no inquiry into the question of whether the petitioners’ asserted right is one of “those fundamental rights and liberties which are, objectively, deeply rooted in this Nation’s history and tradition and implicit in the concept of ordered liberty, such that neither liberty nor justice would exist if they were sacrificed.” [TJhe opinion [also] notably never provides the “ ‘careful description’ of the asserted fundamental liberty interest” that is to accompany fundamental-rights analysis.
Lofton v. Sec’y of the Dep’t of Children & Family Servs., 358 F.3d 804, 816 (11th Cir.2004), cert. denied, — U.S.-, 125 S.Ct. 869, 160 L.Ed.2d 825 (2005).
The Supreme Court in Lawrence also did not apply strict scrutiny in reviewing the sodomy statute at issue. See Lawrence, 539 U.S. at 586, 123 S.Ct. 2472 (Scalia, J., dissenting) (stating that “[the majority does not] subject the Texas law to the standard of review that would be appropriate (strict scrutiny) if homosexual sodomy were a ‘fundamental right’ ” and concluding that the majority “proceeded to apply an unheard-of form of rational-basis review”); Lofton, 358 F.3d at 817 (“Most significant, however, is the fact that the Lawrence Court never applied strict scrutiny, the proper standard when fundamental rights are implicated, but instead invalidated the Texas statute on rational-basis grounds, holding that it ‘furthers no legitimate state interest which can justify its intrusion into the personal and private life of the individual.’ ”) (quoting Lawrence, 539 U.S. at 578, 123 S.Ct. 2472). Strict scrutiny is the standard applicable to challenges where a fundamental liberty interest is at issue. The Court’s refusal to apply that standard confirms that the Court was not creating a new fundamental right. See Lofton, 358 F.3d at 817.
Given, therefore, the specific focus in Latorence on homosexual sodomy, the absence from the Court’s opinion of its own “established method” for resolving a claim that a particular practice implicates a fundamental liberty interest, and the absence of strict scrutiny review, we conclude that Lawrence did not announce a fundamental right of adults to engage in all forms of private consensual sexual conduct.
It may well be that future litigants will insist that Lawrence has broader implications for challenges to other state laws criminalizing consensual sexual conduct. However, because this case is here on habeas review, the only question before this court is whether Lawrence announced a new rule proscribing laws prohibiting the conduct for which Muth was convicted. We have concluded that it does not. Applying this standard to the case at hand, there was no clearly established federal law in 2001 that supports Allen Muth’s claim that he has a fundamental right to engage in incest free from government proscription.
III.
Allen Muth is not entitled to a writ of habeas corpus. There was no clearly established federal law in 2001 that would have made his conviction for incest unconstitutional. The decision of the district court is
Affirmed.