# The Stacks Project

## Tag 01U7

Lemma 28.24.5. The composition of flat morphisms is flat.

Proof. This is a special case of Lemma 28.24.4. $\square$

The code snippet corresponding to this tag is a part of the file morphisms.tex and is located in lines 4301–4304 (see updates for more information).

\begin{lemma}
\label{lemma-composition-flat}
The composition of flat morphisms is flat.
\end{lemma}

\begin{proof}
This is a special case of Lemma \ref{lemma-composition-module-flat}.
\end{proof}

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