Just to clarify here, Deep Mind in no way replaces Brain. The AI space, like any other space, isn't a single unified landscape. There are areas where Deep Mind is a true standard setter--particularly deep reinforcement learning (AlphaGo, for example)--and areas where Brain has been one of the standard setters--natural language processing springs to mind, where Brain has historically pushed the field forward with projects like word2vec, BERT, and the Transformer architecture generally.
Brain is also a much more general organization. They do things like develop Tensorflow, which is one of two most popular ML frameworks in the world (and until recently was far and away the most popular), and TPUs, which are ML-dedicated ASICs that have a huge impact on training and inference.
Both orgs are world class and historically important, and they certainly overlap, but they aren't replacements for one another.