The phrase "a motion to proceed" is correct and usable in written English.
It is typically used in formal contexts, such as legislative or parliamentary procedures, to indicate a proposal to move forward with a particular action or discussion.
Example: "The committee has put forward a motion to proceed with the proposed legislation during the next session."
Alternatives: "a proposal to advance" or "a request to continue".
The first vote, on a motion to proceed to the bill, is expected Friday.
But rather than taking up the bill itself, the Senate today debated a motion to proceed to its consideration.
— Lindsey Graham (@GrahamBlog) 11 Apr 13 The Senate is voting right now on a motion to proceed on gun measures.
Republican lawmakers blocked the bill, voting almost entirely along party lines to defeat a "motion to proceed" that required 60 votes.
Simply getting approval for such a motion to proceed would require support from all 60 members of the Democratic caucus: 58 Democrats and 2 independents.
Several Republicans have said they would block a procedural step, known as a motion to proceed, if the bill doesn't change.
What Coats supports, as he also told NPR last week, is removing the ability to filibuster the motion to proceed.
The cloture vote bringing the initial phase of Senate debate to a conclusion was followed by a formal "motion to proceed" vote later on Tuesday, which passed by 84 votes to 15.
Whether the president was embarrassed remains to be seen, but a procedural motion to proceed to the Obama budget failed 99-0.
A procedural motion to proceed to the Obama budget failed, 99 to 0. The lunch meeting on Wednesday was intended to be a chance for Mr. Obama to take advantage of presidential prerogative to invite lawmakers to the White House, and to hawk his "to-do list" of proposals he would like to see Congress enact this year.
Reid will bring a so-called motion to proceed vote on Wednesday followed by a cloture vote to end debate on Friday or Saturday.
