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Cosmic-ray electrons at TeV energies have limited lifetimes due to their strong radiative losses, placing limits on their sites of acceleration. Yet, their measurement is complicated due to their steeply falling spectrum and the large background of hadronic cosmic rays, with fluxes exceeding the electron one by three orders of magnitude at a TeV, and further worsening towards higher energies. While imaging atmospheric Cherenkov telescopes customarily focus on the detection of very-high-energy gamma-rays, they also have unique capabilities for measuring cosmic-ray electrons at TeV energies. We here present a measurement of cosmic-ray electrons with the High Energy Stereoscopic System (H.E.S.S.), placing severe constraints on the multi-TeV electron spectrum and on possible features of individual local accelerators imprinted on the electron spectrum. Details of the analysis and the resulting spectrum measured by H.E.S.S. will be presented and implications of the measurement will be discussed.