Here's everything you need to know about the rules surrounding a protest like this.
What are the rules for this situation?The House is currently in recess, and under the rules, the speaker is generally empowered "to preserve order and decorum." He has the ability to clear the lobby and galleries in the event of "disorderly conduct" and can direct the House's sergeant-at-arms to do so.
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Access to the House floor can be limited to "all persons except those privileged to remain," which usually means House members and authorized staff and selected authorized guests.
Bottom line: If members do not leave the floor and no compromise is reached, it is largely up to Speaker Paul Ryan to decide whether to use the authority of the House to seek to clear the floor and/or sanction members, or to keep the House in recess and wait out the issue. ...