Petitioner-appellant Maurice Green (“Green”) was convicted of murder, aggravated criminal sexual assault and unlawful restraint in Illinois state court following a jury trial. Green challenges the murder conviction, contending that instructions given his jury violated his federal due process rights. He appeals from a judgment of the district court denying his petition for a writ of habe-as corpus. We affirm.
I. BACKGROUND
A. Facts1
On June 7, 1985, Green phoned M.H. to ask whether she had any cocaine. When M.H. said she did, Green asked if he could come to her apartment, she agreed, and he went over. While there, M.H. and Green used cocaine. Green gave M.H. money and asked her to buy more cocaine. Both left the apartment in search of drugs. After they bought some cocaine, the two separated but agreed to meet back at M.H.’s apartment, which they did. They split a package of cocaine, and used some. While M.H. was pacing, Green put a cocaine packet in his pocket. M.H. noticed that a packet was missing, Green said she must have miscounted, but M.H. disagreed. When Green attempted to leave, M.H. refused to let him go until she found the packet:
As he stood there, [M.H.] “kind of grabbed at him” and he “kind of pushed her away.” [M.H.] “did it again” and Green “in a playful manner” again pushed her away. When [M.H.] “came grabbing at him” a third time, Green grabbed a decanter off *604the table and hit her in the head. [M.H.] then “kind of fell into his arms” and he again struck her and she fell to the floor.
Green’s State Appellate Br. at 25 (citing R. at 481-483, 497-503).
Green sat on the bed to cook some cocaine. He felt M.H.’s foot touch him, and in a frightened response, hit her on the head with a bottle wrapped in brown paper at least three or four times. He then left the bedroom with M.H.’s handgun, and went to her daughter’s bedroom, where he woke up the daughter and engaged in what she testified to be unwanted sexual contact. He went between the daughter’s bedroom and the kitchen, where he was cooking cocaine. The police eventually became involved, and Green surrendered about four hours after the police arrived.
The police found a large bottle caked with blood and broken glass by M.H.’s body. The medical examiner concluded that M.H. had been struck a number of times, and that the cause of death was “‘head injuries due to multiple blunt traumas.’” State Appellate Br. at 10 (citing R. at 448).
B. Jury Instructions
Green’s jury was given the then current Illinois Pattern Jury Instructions on murder and voluntary manslaughter based on serious provocation.2 Ill. Pattern Jury Instructions, Criminal IPI, No. 7.02 (“Issues in Murder”) and No. 7.04 (“Issues in Voluntary Manslaughter — Provocation”) (2d ed. 1981).3
The murder instruction listed the elements of murder and told the jury that the State must prove them beyond a reasonable doubt. The voluntary manslaughter instruction listed the elements of voluntary manslaughter and told the jury that the State must prove them beyond a reasonable doubt. The elements of voluntary manslaughter include all the elements of murder (except for murder while committing an offense), and also include the element (in Green’s case) that defendant acted under a sudden and intense passion resulting from serious provocation by another (sometimes referred to as “mitigating” because, in a sense, it is a defense to murder).4 The jury was not told that it could not convict of murder unless the State disproved the mitigating element beyond a reasonable doubt.
These instructions are the same as those considered in People v. Reddick, 123 Ill.2d 184, 122 Ill.Dec. 1, 526 N.E.2d 141 (1988), and Falconer v. Lane, 905 F.2d 1129, 1136 (7th Cir.1990), except that in those cases the jury was also instructed on voluntary manslaughter based on an unreasonable belief; that instruction placed the burden on the State to prove that the defendant acted in the unreasonable belief that circumstances existed that would have justified the killing.
In Reddick, the Illinois Supreme Court held that when these murder and voluntary manslaughter instructions are given without warning the jury that it could not convict of murder unless the State disproved the mitigating elements, they “erroneously state the burdens of proof on the issues of whether the defendants acted under either intense passions or unreasonable beliefs that their actions were justified.” 122 Ill.Dec. at 5, 526 N.E.2d at 145. “These instructions essentially assure that, if the jury follows them, the jury cannot possibly convict a defendant of voluntary manslaughter. The reason is that even if a mitigating mental state is proved, it will have been proved by the defendant, not the People.” Id. The court concluded that “grave error” had occurred. Id. at 7, 526 *605N.E.2d at 147.5
Subsequently, this court held that when the same instructions are given, they violate federal due process because a jury may have been left with the false impression that it could convict of murder even if there was a mitigating mental state. Falconer, 905 F.2d at 1136; see also Verdin v. O’Leary, 972 F.2d 1467, 1470 (7th Cir.1992); Flowers v. Ill. Dep’t of Corrections, 962 F.2d 703, 705 (7th Cir.1992), vacated on other grounds, — U.S. —, 113 S.Ct. 2954, 125 L.Ed.2d 656 (1993), on remand, 5 F.3d 1021 (1993); Taylor v. Gilmore, 954 F.2d 441, 450 (7th Cir.1992), rev’d on other grounds, — U.S. —, 113 S.Ct. 2112, 124 L.Ed.2d 306 (1993), on remand, 4 F.3d 997 (1993) (Table); United States ex rel. Fleming v. Huch, 924 F.2d 679, 682 (7th Cir.1991); Rose v. Lane, 910 F.2d 400, 402 (7th Cir.), cert. denied, 498 U.S. 983, 111 S.Ct. 515, 112 L.Ed.2d 526 (1990).
C. Procedural History
On direct appeal, Green claimed that the instructions were error under Reddick. The Illinois Appellate Court agreed, but determined that the error was harmless because it did not believe that a reasonable jury would have found that Green acted out of serious provocation, and even if there was provocation, “it was in no way in proportion to the manner in which defendant retaliated.” People v. Green, 209 Ill.App.3d 233, 154 Ill.Dec. 92, 96, 568 N.E.2d 92, 96 (1991). The court concluded that the jury would have convicted of murder even if there was no instructional error. The Illinois Supreme Court denied Green’s petition for leave to appeal.
Subsequently, Green filed a petition for a writ of habeas corpus in federal district court. The district court denied Green’s petition, concluding that the error was harmless beyond a reasonable doubt because there was “no evidence supporting Green’s contention that he killed M.H. as the result of her serious provocation.” July 2, 1992 Mem.Op. and Order at 7. Green filed a motion to alter or amend, which the district court denied. This appeal followed.
II. DISCUSSION
A Fair Presentment
In United States ex rel. Spurlark v. Wolff, 699 F.2d 354 (7th Cir.1983), this court held that a state prisoner seeking habeas relief is barred from raising a claim he had failed to raise on a state court appeal, unless he can show cause and prejudice. See Murray v. Carrier, 477 U.S. 478, 489-490, 106 S.Ct. 2639, 2646, 91 L.Ed.2d 397 (1986). A petitioner’s claim “must have been presented in such a way as to fairly alert the state court to any applicable [federal] constitutional grounds for the claim.” United States ex rel. Sullivan v. Fairman, 731 F.2d 450, 453 (7th Cir.1984).6
Earlier, in the context of exhaustion of state remedies, the Supreme Court had said that “the federal claim must be fairly presented to the state courts.” Picard v. Connor, 404 U.S. 270, 275, 92 S.Ct. 509, 512, 30 L.Ed.2d 438 (1971). “[W]e do not imply that respondent could have raised ... [his federal constitutional] claim only by citing ‘book and verse on the federal constitution.’ ... [citations omitted]. We simply hold that the substance of a federal habeas corpus claim must first be presented to the state courts.” Id. at 278, 92 S.Ct. at 513.
In his state appellate brief, Green argued that the instructions “failed to correctly alert the jurors on the proper burdens of proof.” Green’s State Appellate Br. at 32. Green only cited Reddick in support of his argument: “[s]uch a placement [by the voluntary manslaughter instructions of the burden of proof on the State to prove that Green acted *606under a sudden and intense passion resulting from serious provocation by another] rendered the instruction invalid here on the same basis found by the Illinois Supreme Court in [Reddick],...” Id.
The Illinois Appellate Court noted that Green’s contention was “that the jury was improperly instructed on the burden of proof for voluntary manslaughter.” People v. Green, 154 Ill.Dec. at 95, 568 N.E.2d at 95. The court went on to discuss Reddick, and found that any error was harmless. Id. at 96, 568 N.E.2d at 96.
In Taylor v. Gilmore, decided after Falconer, this court ruled that Reddick was grounded only in state law, with no ties to federal due process; “[a]ny indications to the contrary in our prior decisions are disavowed.” 7 954 F.2d at 449. It must follow that an argument, such as Green made to the appellate court, that the instructions were incorrect as to burden of proof, citing only to Reddick, did not fairly present a federal due process claim to the state court.
In Verdin v. O’Leary, a habeas petitioner claimed that the Illinois Pattern Jury Instructions violated the Due Process Clause because they had led “the jury to ignore constitutionally relevant, exculpatory evidence.” 972 F.2d 1467, 1477 (7th Cir.1992). In state court he had not expressly claimed a violation of due process, but had argued that a refused instruction was necessary for the jury to understand the difference between murder and voluntary manslaughter. He only cited to state cases, none of which refer to the Due Process Clause or cite cases referring to the Due Process Clause. The State likewise did not refer to the Due Process Clause, and the appellate court did not reference constitutional grounds. This court concluded that there had been no fair presentment of his federal claim, and remanded to the district court to determine whether the petitioner’s waiver of his federal claim could be excused under the “cause and prejudice” test or whether failure to consider his federal claim would result in a fundamental miscarriage of justice. Id. at 1483.
We conclude that Green failed to fairly present to the Illinois courts his claim that the instructions given his jury violated federal due process.8 Green’s challenge to the Illinois instructions on direct appeal was never framed or considered in federal constitutional terms. While remand for a determination of whether Green can demonstrate cause for and prejudice from his failure could appropriately follow (although Green makes no such request), it is unnecessary to do so, given the following discussion.
B. Harmless Error
Green would like us to read Falconer broadly, as holding that when these murder and voluntary manslaughter instructions are given without alerting the jury to the need to determine whether the mitigating circumstance of provocation was present, and if present not to convict of murder, and the jury convicts of murder, there is always a denial of federal due process, and never *607harmless error, no matter how slight the evidence of provocation.9
Several considerations militate against so broad a reading. First, the court in Falconer spoke in terms of a possibility that a jury would improperly convict of murder, and suggested that there was substantial evidence that the defendant, who attempted to prove that she killed in self-defense, did have a mitigating mental state:
The central point is that the jury might have decided to convict the petitioner of murder because the State proved that she intentionally killed another without a reasonable belief that she acted in self-defense — despite clear proof that the petitioner was provoked to murderous passion by the victim or that the petitioner held an unreasonable belief that she was justified in killing the victim.
Falconer, 905 F.2d at 1136 (emphasis added).
Additionally, even though in several cases we have noted the “inherently prejudicial” nature of the instructions,10 all subsequent decisions of this court which have found Falconer-type denials of due process have considered whether the error was harmless and have evaluated the evidence in order to determine that it was not. See Flowers v. Ill. Dep’t of Corrections, 962 F.2d at 705 (“Our review of the record confirms the state trial judge’s apparent belief, given that he tendered a voluntary manslaughter instruction to the jury, that the evidence presented at trial could support either a voluntary manslaughter verdict or a murder verdict. Consequently, we conclude that the error at Flowers’ trial was not harmless beyond a reasonable doubt ...,” id. at 706); Taylor v. Gilmore, 954 F.2d at 450 (considering “whether the erroneous jury instructions ... were harmless beyond a reasonable doubt,” id. at 454) (“Our review of the record confirms the trial judge’s belief [“that there was enough evidence in the record to support mitigation to manslaughter”] ...,” id.) (noting that “[h]ad there been insufficient evidence in that regard, the judge would not have been obligated to [give the manslaughter instruction] ...,” id.); United States ex rel. Fleming v. Huch, 924 F.2d 679 (“A closer question than whether the jury instructions violated due process is whether that constitutional violation was harmless beyond a reasonable doubt,” id. at 683) (concluding that because there was “substantial and uneontro-verted” evidence of battered wife syndrome, which was basis for self-defense theory, the instructional error was not harmless, id.); Rose v. Lane, 910 F.2d at 402 (“we must decide ... whether the trial court’s constitutional error was harmless,” id. at 403) (concluding that because there was evidence that the defendant believed he was acting in self-defense, a jury might not have convicted him of murder if properly instructed, id.). Thus, we have interpreted Falconer as permitting consideration of whether Falconer-type errors were harmless in light of the evidence before the jury.
Finally, the Supreme Court has decided that “the Kotteakos harmless-error standard applies in determining whether habeas relief must be granted because of constitutional error of the trial type.” Brecht v. Abrahamson, — U.S. —, —, 113 S.Ct. 1710, 1722, 123 L.Ed.2d 353 (1993).11 There must *608be more than “a ‘“reasonable possibility”’ that trial error contributed to the verdict”; habeas petitioners are entitled to habeas relief based on trial error only if the error resulted in “actual prejudice.” Id. at — - —, 113 S.Ct. at 1721-1722. The question is whether the error “‘had substantial and injurious effect or influence in determining the jury’s verdict.’ ” Id. at —, 113 S.Ct. at 1722 (quoting Kotteakos v. United States, 328 U.S. 750, 776, 66 S.Ct. 1239, 1253, 90 L.Ed. 1557 (1946)).
In the present case, we have Green’s description that M.H. grabbed him and in response, he pushed her away “in a playful manner.” She had perhaps implied an accusation that he had secreted a packet of cocaine. When she grabbed him again, he hit her once, and then again as she was falling. Then, while M.H. was lying on the floor, her foot touched Green; Green responded by again hitting her on the head a number of times, killing her. The Illinois Appellate Court did “not believe that a reasonable jury would have found that defendant acted out of serious provocation_” ,154 Ill.Dec. at 96, 568 N.E.2d at 96. District Judge Conlon concluded that there was “no evidence supporting Green’s contention that he killed M.H. as the result of her serious provocation.” We discern no evidence that Green “acted under a sudden and intense passion resulting from serious provocation by” M.H., and Green does not suggest any such evidence.12 In this case we find no possibility of prejudice as a result of these instructions. Any error in giving them was harmless.
The judgment of the district court is AfFIRMED.
. We were unable to obtain the transcript from Green's trial. These facts are taken from Green's brief to the Illinois Appellate Court, which contains a more extensive discussion of the trial testimony than does his brief to this court.
One of the arguments Green makes to this court is that if a.writ is not issued, we should remand this action for further proceedings because the district court did not review the trial transcript. The State ordered the transcript in the proceedings below. See March 31, 1992 Filing at 2. Apparently efforts in the district court were as unsuccessful as ours in obtaining the transcript. See July 2, 1992 Mem. Op. and Order at 5 n. 2. Green does not suggest, however, that the facts contained in the appellate court decision, which the district court relied on pursuant to 28 U.S.C. § 2254(d), are incorrect or incomplete. Nor does he explain what further proceedings the district court should engage in, when the transcript is unobtainable. We find no merit to Green's argument.
. The Illinois statutes regarding murder and voluntary manslaughter were rewritten, effective July 1, 1987, to create the offenses of first degree murder and second degree murder.
. While we do not have Green’s trial transcript, the Illinois Appellate Court found and the parties agree that Green was instructed following these pattern instructions.
. Under the relevant section of the Illinois Code
[a] person who kills an individual without lawful justification commits voluntary manslaughter if at the time of the killing he is acting under a sudden and intense passion resulting from serious provocation by:
(1) The individual killed
Serious provocation is conduct sufficient to excite an intense passion in a reasonable person.
Ill.Ann.Stat. 1985, ch. 38, para. 9-2(a).
. The Illinois Pattern Jury Instructions were rewritten to conform to Reddick.
. In Sullivan, this court concluded that petitioner waived his right to submit his due process claim in federal court because he did not present his due process argument to the state courts in the context of a federal constitutional claim, he never used the language "due process," he relied on state cases which refer only to the "interests of justice,” and the state appellate court opinion indicated that it discerned no due process implications.
For a list of factors to consider in determining whether a petitioner has fairly presented his federal claim, see Sullivan, 731 F.2d at 454 (including n. 9).
. In Falconer v. Lane, this court had implied that a petitioner’s citation to Reddick may constitute a federal constitutional challenge to the Illinois jury instructions, noting that in Reddick, "the Court obviously considered the errors resulting from the invalid instructions to be of constitutional magnitude.” Falconer, 905 F.2d at 1134. The petitioner in Falconer did argue to the Illinois Supreme Court that the instructions deprived her of "due process.” The panel in Falconer noted that even if the petitioner's claim was interpreted as brought under the Illinois Constitution’s Due Process Clause, such a claim would be “functionally identical to a federal claim," and therefore her federal claim was fairly presented. Id.
Additionally, in Rose v. Lane, a panel of this court stated that "Reddick creates a federal claim through In re Winship [397 U.S. 358, 90 S.Ct. 1068, 25 L.Ed.2d 368 (1970)]...." Rose, 910 F.2d at 401 n. 1.
. Because the record does not include Green’s petition for leave to appeal to the Illinois Supreme Court, and because neither party discusses that petition, we do not know how Green framed his challenge to the instructions at that stage. This is irrelevant, however, because submitting a new claim to a state’s highest court in a petition for discretionary review does not constitute fair presentment. Castille v. Peoples, 489 U.S. 346, 351, 109 S.Ct. 1056, 1060, 103 L.Ed.2d 380 (1989).
. In Falconer, a panel of this court concluded that "[a]s the Eighth Circuit stated in finding constitutionally faulty jury instructions: 'Such error [a jury verdict based on an instruction that allows it to convict without properly finding the facts supporting each element of the crime] is not corrected merely because an appellate court, upon review, is satisfied that the jury would have found the essential facts had it been properly instructed. The error cannot be treated as harmless.’ ” 905 F.2d at 1137 (citing United States v. Voss, 787 F.2d 393, 398, cert. denied, 479 U.S. 888, 107 S.Ct. 286, 93 L.Ed.2d 261 (1986)).
. Rose v. Lane, 910 F.2d at 402-403 (noting that Falconer found the instructions to he "gravely erroneous” and "inherently prejudicial”); United States ex rel. Fleming v. Huch, 924 F.2d at 683 (recognizing that Falconer and Rose found that the error was “inherently prejudicial"); Taylor v. Gilmore, 954 F.2d at 454 (recognizing that Falconer, Rose and Fleming found the instructions were “inherently prejudicial”).
.While the issue in Brecht was whether a habe-as petitioner was entitled to relief because the state improperly used his post-Miranda silence for impeachment purposes, the harmless error standard announced in Brecht applies to instructional error. See Libby v. Duval, 19 F.3d 733, 739-740 (1st Cir.1994), cert. denied, — U.S. —, 115 S.Ct. 314, — L.Ed.2d — (1994); Kontakis v. Beyer, 19 F.3d 110, 116 (3d Cir.1994), cert. denied, — U.S. -, 115 S.Ct. 215, - *608L.Ed.2d — (1994); O'Neal v. Morris, 3 F.3d 143, 145-147 (6th Cir.1993), cert. granted in part, — U.S. —, 114 S.Ct. 1396, 128 L.Ed.2d 70 (1994) (question presented: "Does state have burden of proving constitutional error to be harmless under Brecht v. Abrahamson?" 62 U.S.L.W. 3680). But see Suniga v. Bunnell, 998 F.2d 664, 667 (9th Cir.1993). Prior to Brecht, the harmless error standard was whether federal constitutional error "was harmless beyond a reasonable doubt.” Chapman v. California, 386 U.S. 18, 24, 87 S.Ct. 824, 828, 17 L.Ed.2d 705 (1967). We apply Brecht here. See Lockhart v. Fretwell, — U.S. —, 113 S.Ct. 838, 844, 122 L.Ed.2d 180 (1993). Even if we were to apply the Chapman standard, we would conclude that the error was harmless beyond a reasonable doubt.
. We are not bound by the trial court’s decision to tender the instruction. Even though a trial judge has some doubt whether there is evidence calling for the instruction, the judge may well decide to play it safe and instruct on an offense less than murder. See e.g., People v. Tyler, 188 Ill.App.3d 547, 136 Ill.Dec. 302, 305, 544 N.E.2d 1077, 1080 (1989) (" 'Very slight evidence’ presented on the issue will justify instructing the jury on self-defense_” (citation omitted)).