At a high level, Design Planning, Risk Management, Design Inputs, Design Outputs, Design Verification, Design Validation, Design Reviews, etc. (pretty much as laid out). If there's software, then there's another set of software-specific docs.
Not sure what you mean by "checks" - all docs are reviewed, approved, and released. Up to you to define more specifics on those activities (and generally is not just QA approval).
Can you be more specific?