The users who are running on the latest EMUI 10 on their Mate 20 or Mate 20 Pro will be getting the December 2019 patch with software version  V10.0.0.180. The update is very large in size weighing at 4.45 GB in size. The update brings various bug fixes and stability improvements to the system. The new update also brings some new features like Dynamic animation, GPU Turbo, Phone clone etc. As I have mentioned before, the users who are still on EMUI 9.1 having the November 2019 update, will also be getting the December 2019 patch update. The new update will bump the software version to V9.1.0.362. The new update weighs in around 172 MB in size.

You can manually check for the update. If you own the device, you can manually check for the update, Go to System > Software update > Check for updates. Source

Huawei Ships December 2019 security patch to Mate 20 and Mate 20 Pro - 6