Lemma 22.28.4 (0FQK)—The Stacks project

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Table of contents
Part 1: Preliminaries
Chapter 22: Differential Graded Algebra
Section 22.28: Bimodules
Lemma 22.28.4 (cite)

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Lemma 22.28.4. Let $R$ be a ring. Let $(A, \text{d})$ and $(B, \text{d})$ be differential graded $R$ -algebras. Let $M$ be a differential graded $(A, B)$ -bimodule. There exists a homomorphism $P \to M$ of differential graded $(A, B)$ -bimodules which is a quasi-isomorphism such that $P$ has property (P) as defined above.

Proof. Immediate from Lemmas 22.28.3 and 22.20.4. $\square$

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