Lemma 92.22.4. Let f : (\mathop{\mathit{Sh}}\nolimits (\mathcal{C}), \mathcal{O}) \to (\mathop{\mathit{Sh}}\nolimits (\mathcal{B}), \mathcal{O}_\mathcal {B}) be a morphism of ringed topoi. There is a canonical map L_ f \to \mathop{N\! L}\nolimits _ f which identifies the naive cotangent complex with the truncation \tau _{\geq -1}L_ f.
Proof. Special case of Lemma 92.18.10. \square
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