12.24.6.2
\begin{equation} \label{homology-equation-at-bottom-bigraded} \bigcup \nolimits _ r \left( F^ pK^{n} \cap d(F^{p - r + 1}K^{n - 1}) + F^{p + 1}K^{n} \right) \subset \mathop{\mathrm{Im}}(d) \cap F^ pK^{n} + F^{p + 1}K^{n}. \end{equation}
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