[sth; doing sth; see also: close, complete, conclude, end, terminate]
This finishes the proof.
Two more triangulations will finish the job.
After having finished proving (2), we shall return to ...... [Not: “finished to prove (2)”]
We finish by mentioning that, suitably modified, the results of Section 2 apply to the $AP$ case.
Continuity then finishes off the argument.
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