At the insistence of Justice Neil Gorsuch, she withdrew the allegation that the other side had lied but held firm to the contention that disability-rights claims should be held to a higher legal standard.

The U.S. Supreme Court considered what liability standard should apply for cases brought by students under two key federal disability laws.

The student’s family said the standard for when a disabled student can sue for discrimination comes up frequently and should be resolved by the Supreme Court.