The phrase "high court" refers to a court that has authority over other courts. It is typically the highest court in a country or region, responsible for making final legal decisions and resolving important cases. Full definition
The law means the statutes passed by the legislature, regulations properly made by the executive and precedent set by other judges in higher courts in the particular appellate chain. (law.stackexchange.com)
In 2006, the state's highest court ruled that the state had not met its constitutional responsibility to ensure adequate school funding. (syracuse.com)
Of course judges make mistakes, and they're not always corrected by higher courts. (courtroom5.com)