The phrase "proceed to search" is correct and usable in written English.
You can use it when instructing someone to begin a search or investigation.
Example: "After reviewing the initial findings, we will proceed to search for additional evidence."
Alternatives: "begin the search" or "start searching."
In such cases, doctors proceed to search for less dire (and, it must be said, more mundane) diagnoses.
Once we have found the coauthor's CV, we proceed to search for the publication (referred as the target publication) in it.
With the FindIt app for iOS, you can quickly connect your Gmail, Dropbox and Google Drive accounts, and then proceed to search by keyword, person, time or file type.
Since then, the two have become slightly reminiscent of a bickering old married couple, but watching Jason call Andy out on his V addiction and then proceed to search his car for V proves that these two have developed a pretty deep friendship -- one that can hopefully help Andy overcome his addiction.
In practice, we simply select two arbitrary values for the parameter, observe the correlation acquired under these values, and proceed to search for an optimal value to the direction pointed by the better performing one.
It is the manifestations of the host response that cause us to presume a patient has an infection and to proceed to search for the infection focus and administer antimicrobial agents.
"Lesbirel then proceeded to search the flat to find anything he could steal before leaving.
EarthLink authorized Korn/Ferry to begin searching last December, and Mr. Neely's team proceeded to search the company's databases and reports on publicly traded companies.
I downloaded SmartGlass for the iPad and immediately used it to call up Netflix, where I proceeded to search for an episode of "The Walking Dead".
Prim thereupon became the most powerful figure in the new government and proceeded to search for a suitable monarch for the nation.
The Serbian police then proceeded to search and check the entire 45-strong Albanian delegation which includes Kosovars, who cannot form their own team because Serbia and its allies have blocked Kosovo from joining international football organisations.
