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"Mexican citizens will be afraid to visit Arizona for work or pleasure out of concern that they will be subject to unlawful police scrutiny and detention," the brief said.
Mexico said its interest in having consistent relations with the United States shouldn't be hindered by one state, according to the AP.
A federal judge in Arizona will decide whether to accept Mexico's request, along with similar briefs submitted by groups within the United States.
Earlier this month, Secretary of State Hillary Clinton said the Justice Department, at President Obama's direction, "will be bringing a lawsuit" to challenge the controversial law. On Friday, a senior Obama administration official confirmed to CBS News that a federal challenge to the law would be filed when the government finishes building a case.
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