  Hirotaka Fujimoto proved in [Nagoya Math. J., 1976(64): 117--147] and [Nagoya
Math. J., 1978(71): 13--24] a uniqueness theorem for algebraically
non-degenerate meromorphic maps into $\mathbb{P}^n(\mathbb{C})$ sharing
$(2n+3)$ hyperplanes in general position. The proof of Lemma 3.6 in [Nagoya
Math. J., 1976(64): 117--147] is found to contain a mistake. This mistake can
be corrected easily from a new point of view. This note explains the idea of
the correction and provides a complete proof.
