SUMMARY ORDER

Petitioner Phillip A. Taylor appeals from the denial of his petition for habeas relief from his New York State conviction, following a jury trial, for attempted robbery in the first and second degrees, see N.Y. Penal Law §§ 110.00, 160.10[1], 160.15[4], and criminal possession of a weapon in the fourth degree, see id. § 265.01[1], This court granted a certificate of appealability on Taylor’s sufficiency challenge to the “display” element of first-degree attempted robbery. We review de novo a district court’s denial of a writ of habeas corpus. See Cornell v. Kirkpatrick, 665 F.3d 369, 374 (2d Cir. 2011). We assume the parties’ familiarity with the facts and record of prior proceedings, which we reference only as necessary to explain our decision to affirm.

Taylor contends that, under New York law, the display element demands that the victim directly perceive action by defendant that manifests the presence of a gun. He maintains that a victim’s observation of another person’s reaction to a defendant’s actions, without more, is insufficient to satisfy the display element. In any event, Taylor asserts that victim Anthony Asson’s particular observations of customer Pedro Martinez’s reaction were insufficient to permit Asson to perceive that Taylor had displayed a gun. We are not persuaded.

Taylor’s first argument effectively charges New York courts with failing to understand their own law regarding the display element of first-degree attempted *53 robbery, a matter not within the scope of our habeas review. “Our federal constitution does not dictate to the state courts precisely how to interpret their own criminal statutes,” Ponnapula v. Spitzer, 297 F.3d 172, 182 (2d Cir. 2002), and “ ‘[a] federal court may not issue the writ on the basis of a perceived error of state law,’ ” Santone v. Fischer, 689 F.3d 138, 148 (2d Cir. 2012) (quoting Pulley v. Harris, 465 U.S. 37, 41, 104 S.Ct. 871, 79 L.Ed.2d 29 (1984)). Here, although the First Department summarily rejected Taylor’s sufficiency challenge, see People v. Taylor, 29 A.D.3d 450, 451, 815 N.Y.S.2d 90 (1st Dep’t 2006), insofar as that decision was grounded in a determination that a victim need not himself see the defendant display a firearm to conclude that there had been the requisite display, that decision “was in no sense an arbitrary application of New York law” 1 and “nothing in federal constitutional law ... prevented the Appellate Division” from reaching that conclusion. Santone v. Fischer, 689 F.3d at 149.

Insofar as Taylor challenges the sufficiency of the inferential evidence in this case to prove display, he confronts a “twice-deferential” standard of review. See Parker v. Matthews, — U.S. -, 132 S.Ct. 2148, 2152, 183 L.Ed.2d 32 (2012) (stating that (1) state court, on direct review, must uphold guilty verdict if evidence viewed in light most favorable to prosecution would permit any rational trier of fact to find essential elements of crime proved beyond a reasonable doubt and (2) habeas court may not upset state court rejection of sufficiency challenge unless objectively unreasonable); accord Santone v. Fischer, 689 F.3d at 148.

Here, Asson testified that, when he observed Martinez raise his arms after Taylor entered the store, he interpreted the action to mean that “something was wrong,” “maybe a robbery,” prompting him to lock himself in a bullet-proof cashier’s booth and to call 911. J.A. 22. A rational jury could have concluded, from what Asson saw and did in response to what he saw Martinez do, that Asson thought Taylor had displayed a firearm. The reasonableness of such an inference was reinforced in this case by (1) Martinez’s own testimony that he observed Taylor with a firearm; (2) police recovery of an operable shotgun from Taylor’s vehicle 90 minutes after the robbery; and (3) the plea allocution of Michelle Clark, Taylor’s accomplice, in which she stated that Taylor had a gun during the robbery. See People v. Turner, 96 A.D.3d 1392, 1393, 946 N.Y.S.2d 347 (4th Dep’t 2012); People v. Slater, 13 A.D.3d 732, 733-34, 786 N.Y.S.2d 602 (3d Dep’t 2004) (noting that, although victim was unavailable to testify at trial, “there was other proof from which *54 the jury could reasonably infer that [victim] perceived that defendant was armed with a gun during the commission of the robbery”). On this record, Taylor cannot show that it was objectively unreasonable for the First Department to reject his sufficiency challenge to the display element of first-degree attempted robbery under New York law. See Santone v. Fischer, 689 F.3d at 148.

We have considered Taylor’s remaining arguments and conclude that they are without merit. The judgment of the district court is AFFIRMED.