Lemma 70.6.11. Let $S$ be a scheme. Let $f : X \to Y$ be a morphism of algebraic spaces over $S$. Let $D \subset Y$ be an effective Cartier divisor. The pullback of $D$ by $f$ is defined in each of the following cases:

$f(x) \not\in |D|$ for any weakly associated point $x$ of $X$,

$f$ is flat, and

add more here as needed.

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