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Systems of elongated molecules, doped with small amounts of molecules lackingmirror symmetry can form macroscopically twisted cholesteric liquid crystalphases. The aim of this work is to rigorously derive the Oseen-Frank model ofcholesterics from a more fundamental model concerned with pairwise molecularinteractions. A non-local mean-field model of the two-species nematichost/chiral dopant mixture is proposed, and it is shown that Oseen-Frank'selastic free energy for cholesteric liquid crystals can be obtained in asimultaneously large-domain and dilute-dopant asymptotic regime. By techniquesof $\Gamma$-convergence, it is shown that in the asymptotic limit dopant-dopantinteractions are negligable, the Frank constants and nematic host orderparameter are unperturbed by the presence of dopant, but the mirror asymmetryof the dopant-host interaction leads to a macroscopically twisted ground state.The constant of proportionality between the helical wavenumber and dopantconcentration, the {\it helical twisting power} (HTP), can be explicitly foundthrough such an analysis, with a non-linear temperature dependence. Dependingon the relative strengths of the host-host and host-dopant interactions, it isshown that HTP may increase or decrease with temperature.

$\Gamma$-convergence of a mean-field model of a chiral doped nematic liquid crystal to the Oseen-Frank description of cholesterics