A ban on future public office would be news to this ex-Federal judge
The Constitution limits the possible penalties on conviction for impeachment to removal from office and "disqualification to hold and enjoy any office of honor, trust or profit under the United States" [1]. It does not mandate that both of the available remedies be applied upon conviction.
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A ban on future public office would be news to this ex-Federal judge: http://en.wikipedia.org/wiki/Alcee_Hastings
The Constitution limits the possible penalties on conviction for impeachment to removal from office and "disqualification to hold and enjoy any office of honor, trust or profit under the United States" [1]. It does not mandate that both of the available remedies be applied upon conviction.
[1] Art. I, Sec. 3