A transgender athlete case ruling is first. It is West Virgnia v. B. P. J. The court holds that schools can determine eligibility for women's and girls' sports teams based on biological sex.
The court holds that West Virginia did not violate Title IX, which bars educational programs that receive federal funding from discriminating based on sex.
The court also says that West Virginia and Idaho did not violate the Constitution's equal protection clause by maintaining female sports teams for biological females.
The chief justice and Thomas, Alito, Gorsuch, and Barrett join the Kavanaugh opinion.
Justice Sotomayor has an opinion concurring in the judgment in part and dissenting in part. Justices Kagan and Jackson join that opinion.
Sotomayor agrees that B.P.J.'s claim under Title IX "fails, although under a narrower basis than that on which the majority relies." BPJ is the West Virginia challenger. But she dissents with regard to the equal protection claim, saying that "unresolved factual questions prevent the Court from assessing the merits of B.P.J.'s equal protection claim at this time."
Apparently there's one opinion for both trans athlete cases, West Virginia v. B.P.J. and Little v. Hecox. The case caption listed first and at the top of each page is B.P.J., so it looks like this opinion will be referred to in the future as B.P.J.