Definition 74.22.7. With $S, X, X', Y, Y', f, a, a', h$ as in Lemma 74.22.6 the functor

\[ (V, \varphi ) \longmapsto f^*(V, \varphi ) \]

constructed in that lemma is called the *pullback functor* on descent data.

Definition 74.22.7. With $S, X, X', Y, Y', f, a, a', h$ as in Lemma 74.22.6 the functor

\[ (V, \varphi ) \longmapsto f^*(V, \varphi ) \]

constructed in that lemma is called the *pullback functor* on descent data.

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