Lemma 15.73.3. Let R be a ring. Let K, L, M be objects of D(R). There is a canonical morphism
in D(R) functorial in K, L, M.
Lemma 15.73.3. Let R be a ring. Let K, L, M be objects of D(R). There is a canonical morphism
in D(R) functorial in K, L, M.
Proof. Choose a K-injective complex I^\bullet representing M, a K-injective complex J^\bullet representing L, and a K-flat complex K^\bullet representing K. The map is defined using the map
of Lemma 15.71.6. We omit the proof that this is functorial in all three objects of D(R). \square
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