Lemma 62.5.5. The construction in Example 62.5.4 is compatible with base change, restriction, and flat pullback.
Proof. Taking $\mathcal{F} = (Z \to X)_*\mathcal{O}_ Z$ this is a special case of Lemma 62.5.3. See Chow Homology, Lemma 42.10.3. $\square$
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