In the reaction, $ HCl+HF\xrightarrow{{}}H_{2}^{+}Cl+{{F}^{-}} $ $ HCl $ is taking up a proton, hence it is acting as a base. Its conjugate acid $ (H_{2}^{+}Cl) $ has a strong tendency to loose proton, hence it is a strong acid, and therefore, its conjugate base (HC1) will be a weaker base.