Only a single case in history has ever raised that issue in court.
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If one accepts that the Supreme Court has the final word on constitutional interpretation, the issue is settled.
There is one Supreme Court decision that deals directly with a funding condition imposed on educational institutions.
Now pending in Congress is a proposed amendment that would hand states power to repeal a federal law.
The legislative process created by the Constitution is based on majority rule. But constitutional ideals are not always backed up by constitutional mandates.