Supreme court justices are more likely to die than to be impeached AND CONVICTED. Impeach Justice Thomas and I'm sure he will just chock it up to partisan tom-foolery. We already know he has zero ethics, seeing as he refused to recuse himself when his wife was involved in a case. Republicans are all throwing hissy fits about investigating and punishing Alito's draft leaker, but the DOJ and FBI are not, because leaking it violates no laws!

BUT (and it's a might big but) lying to Congress under oath is perjury, and that can result in indictment, conviction, and imprisonment. Supreme Court justices have no immunity (like that JD memo says the President has). The House could refer them to the Justice Department for prosecution, and nothing would stop the Justice Department from charging them. And if they get convicted, there is this:

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Article III, Section 1:

The judicial Power of the United States, shall be vested in one supreme Court, and in such inferior Courts as the Congress may from time to time ordain and establish. The Judges, both of the supreme and inferior Courts, shall hold their Offices during good Behaviour, and shall, at stated Times, receive for their Services, a Compensation, which shall not be diminished during their Continuance in Office.

A felony conviction for Perjury is NOT "good Behavior".