(CNN)The Supreme Court said on Tuesday that it will not take up former President Donald Trump's case challenging the disclosure of his White House documents to the House January 6 investigation, a formal conclusion to his unsuccessful bid to keep those records secret.

The court had previously rejected Trump's emergency request to block the National Archives from turning over the materials while the court considered whether to take up the case. The documents Trump was trying to block in court are already in the hands of the House Select Committee investigating January 6.

Tuesday's order -- which included no further explanation of why the court was not taking up the case -- means that the lower court decisions approving the release of the documents will stand.

The National Archives continues to process Trump-era presidential and vice-presidential records requested by the House investigation.

While Trump maintains he can assert executive privilege over some records to keep them secret, more are set to be turned over to the House next week. Trump has not returned to court on the topic since the Supreme Court denied his emergency request last month.

The case that was before the Supreme Court dealt with a specific set of documents being sought by the committee, meaning that Trump could still challenge other attempts to get information about his presidency that he wants to stay secret.

Speaker Nancy Pelosi (D-CA) mocked Donald Trump after the former president lost his effort at the Supreme Court to shield records from the House Select Committee Investigating the Jan. 6 Attack on the U.S. Capitol.

“Today, the Supreme Court made resoundingly clear that no one is above the law – not even a former president who incited a deadly insurrection.  By again rejecting the former president’s attempts to hide documents related to January 6th, the Court’s decision is a victory for the truth, for the rule of law and for the American people.

“Reviewing these documents is essential to gaining a full picture of the events leading up to, during and after the January 6th attack on our Democracy.  Now that the Court has ended the former president’s unlawful and dangerous campaign to hide the truth from the American people, the House’s Select Committee to Investigate January 6th will continue its laser focus on finding the truth of that dark day and ensuring it never happens again.”