MEMORANDUM *

Petitioner Steven Arnold Rose appeals the district court’s denial of his petition for a writ of habeas corpus, brought pursuant to 28 U.S.C. § 2254. He argues that the California state court unreasonably applied clearly established federal law by denying his habeas petition, which is based on an ineffective assistance of counsel claim. See Strickland v. Washington, 466 U.S. 668, 104 S.Ct. 2052, 80 L.Ed.2d 674 (1984).

*843 The state court reasonably applied federal law in denying Rose’s habeas petition. Defense counsel’s decision not to call Tom Clemens as a witness did not prejudice Rose. Introducing Clemens as a witness would have opened the door for the prosecution to introduce Clemens’ damaging pri- or statements to law enforcement, including his statement that Rose threatened to kill Pamela Terrick. Moreover, any testimony Clemens could have offered to support Rose’s defense would have been undermined by his failure to explain how Terrick sustained the kinds of injuries she had when police arrived at the scene. Rose cites Howard v. Clark, but a central reason we found prejudice in Howard was that the prosecution’s ease-in-chief was not very strong. 608 F.3d 563, 573 (9th Cir. 2010). Even assuming defense counsel was deficient, the prosecution’s case against Rose was significantly stronger than it was in Howard.

By Rose’s own admission, his defense at trial was challenging, giving defense counsel “very little to work with.” Brief for Appellant at 15. He has not demonstrated “a reasonable probability that, but for counsel’s [alleged] unprofessional errors, the result of the proceeding would have been different.” Strickland, 466 U.S. at 694, 104 S.Ct. 2052. That is especially so given the “doubly” deferential standard for Strickland claims under AEDPA review. Harrington v. Richter, — U.S.-, 131 S.Ct. 770, 788, 178 L.Ed.2d 624 (2011).

Having concluded that Rose fails to meet the prejudice prong of Strickland, as did the California Court of Appeal, we need not discuss the deficient performance prong. Stanley v. Schriro, 598 F.3d 612, 619 (9th Cir. 2010).

AFFIRMED.