# The Stacks Project

## Tag: 03MO

This tag has label spaces-morphisms-lemma-base-change-flat and it points to

The corresponding content:

Lemma 46.27.4. The base change of a flat morphism is flat.

Proof. Omitted. $\square$

\begin{lemma}
\label{lemma-base-change-flat}
The base change of a flat morphism is flat.
\end{lemma}

\begin{proof}
Omitted.
\end{proof}


To cite this tag (see How to reference tags), use:

\cite[\href{http://stacks.math.columbia.edu/tag/03MO}{Tag 03MO}]{stacks-project}


In your comment you can use Markdown and LaTeX style mathematics (enclose it like $\pi$). A preview option is available if you wish to see how it works out (just click on the eye in the lower-right corner).