In the 1908 case of Greenameyer v. Coate, the United States Supreme Court was tasked with deciding on a dispute over land ownership in Nevada. The plaintiff, Greenameyer, claimed that he had acquired rights to a piece of property through adverse possession - essentially arguing that because he had occupied and used the land for an extended period without any objection from others, it should legally be his. However, Coate disputed this claim and argued that she held rightful title to the property based on federal mining laws which granted her late husband's estate ownership rights after discovering valuable minerals there. The court ruled in favor of Coate by upholding the validity of these mining laws over state-level adverse possession claims. They reasoned that since Congress has exclusive jurisdiction over public lands and their disposal under Article IV Section 3 Clause 2 (the Property Clause) of U.S Constitution; therefore its legislation supersedes conflicting state law regarding real estate acquisition methods such as adverse possession.

The dissenting opinion in the case of Greenameyer v. Coate argued that the majority's decision was a misinterpretation of the law and an overreach of judicial power. The dissenters believed that it was not within their jurisdiction to decide on matters related to property rights, which they felt were better left to state courts. They also disagreed with the majority's interpretation of what constituted "due process," arguing that due process should be understood as procedural fairness rather than substantive justice. Furthermore, they expressed concern about potential negative consequences for future cases if this expansive interpretation were allowed to stand unchallenged.