House Democrats defended their congressional investigations in two different federal courtrooms on Thursday afternoon in Washington, in separation-of-powers fights about subpoenas at the heart of the impeachment drama.

First, the House Judiciary Committee pushed to enforce its subpoena of ex-White House Counsel Don McGahn to testify about what he told former Special Counsel Robert S. Mueller III’s probe into potential obstruction of justice by President Donald Trump.

[House Democrats adopt rules for public impeachment proceedings]

And two hours later, down the hall, the House Intelligence Committee told a judge it would seek to dismiss a lawsuit filed by former National Security Council official Charles Kupperman, which asks the courts to decide whether he must comply with a subpoena in an impeachment inquiry focused on Trump’s dealings with Ukraine.

The high-profile hearings didn’t provide definitive answers Thursday, but shed some light on whether the courts will act quickly enough to influence the House Democrats’ fast-moving impeachment inquiry.