def METHOD_NAME(dst_device_str, dst_type):
    """Test that the device and dtype property updates propagate through mixed nesting of regular nn.Modules and the
    special modules of type DeviceDtypeModuleMixin (e.g. Metric or LightningModule)."""
    dst_device = torch.device(dst_device_str)
    model = TopModule()
    assert model.device == torch.device("cpu")
    model = model.to(device=dst_device, dtype=dst_type)
    # nn.Module does not have these attributes
    assert not hasattr(model.module, "_device")
    assert not hasattr(model.module, "_dtype")
    # device and dtype change should propagate down into all children
    assert model.device == model.module.module.device == dst_device
    assert model.dtype == model.module.module.dtype == dst_type