Dagger 2 Providing a Component in a module

LibraryAComponent.java

@Singleton
@Component(modules = LibraryAModule.class)
public interface LibraryAComponent {

  @Component.Builder
  interface Builder {
    LibraryAComponent build()
  }

  SomeLibADep someLibADep();
  
}

LibraryAModule.java

@Module
public class LibraryAModule {
  
  @Provides
  @Singleton
  SomeLibADep provideSomeLibADep() {
    return new SomeLibADep();
  }
  
}

LibraryBModule.java

@Module
public class LibraryBModule {

  @Provides
  @Singleton
  LibraryAComponent provideLibraryAComponent() {
    return DaggerLibraryAComponent
              .builder()
              .build();
  }

  @Provides
  @Singleton
  SomeDepThatNeedsLibA provideSomeDep(LibraryAComponent libraryA) {
    return new SomeDepThatNeedsLibA(libraryA.someLibADep())
  }  
  
}