What is the test for appealing a final order in a habeas corpus proceeding?

When a district court enters a final order adverse to the applicant in a habeas corpus proceeding, it must either issue or deny a certificate of appealability, which is required to appeal a final order in a habeas corpus proceeding. 28 U.S.C. 2253(c)(1)(A). A certificate of appealability is appropriate only where the petitioner makes "a substantial showing of the denial of a constitutional right." Miller-El v. Cockrell, 537 U.S. 322, 327 (2003) (quoting 28 U.S.C. 2253(c)(2)). Under this standard, the petitioner must demonstrate that

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