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user 2841
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Coherence for pull-backs and push-forwards
The isomorphism $f^* q^* \cong p^*$ induced by $q_* f_* \cong p_*$ is defined to be the composition
$f^* q^* \to f^* q^* p_* p^* \cong f^* q^* q_* f_* p^* \to f^* f_* p^* \to p^*$.
Now it is easily …
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