Trivial absolute left derived functor

Example 20.1.8. Assume that \(F\colon C \to D\) inverts morphisms in \(W\), so that it induces a functor \(\bL F\colon C[W^{-1}] \to D\) by the universal property of localization. Then the natural isomorphism \(\bL F \circ \gamma \cong F\) exhibits \(\bL F\) as an absolute left derived functor of \(F\).