In Richmond Mining Company v. Eureka Mining Company, the Supreme Court of the United States was asked to decide whether a mining company had the right to mine on a certain piece of land. The Richmond Mining Company had been granted a patent for the land in question, but the Eureka Mining Company had also been granted a patent for the same land. The Supreme Court held that the Richmond Mining Company had the right to mine on the land, as it had been granted the patent first. The Court also held that the Eureka Mining Company had no right to mine on the land, as it had been granted the patent second. The Court further held that the Richmond Mining Company was entitled to damages for the interference caused by the Eureka Mining Company. The Court concluded that the Richmond Mining Company was entitled to the exclusive right to mine on the land in question.

In the case of Richmond Mining Company v. Eureka Mining Company, Justice Field delivered a dissenting opinion in which he argued that the majority's decision was incorrect and should be reversed. He believed that under California law, as it existed at the time of this dispute between two mining companies over ownership rights to certain land, both parties had acquired valid titles to their respective claims. The majority held that only one party could have a valid title because they found there was an overlap between their claims; however, Justice Field disagreed with this conclusion and maintained that each company had obtained its own separate claim through different means and thus both were entitled to recognition by law. Furthermore, he noted how neither party had attempted any fraud or misrepresentation in obtaining its title nor did either attempt to interfere with the other's possession or use of its property; therefore no legal basis existed for invalidating either claim on these grounds alone. In sum, Justice Field concluded that since both parties possessed valid titles according to California law at the time of this dispute then each should be recognized as having equal right thereto without interference from one another or from any court ruling otherwise