Summary judgement is not a thing separate from a lawsuit. It’s literally a standard filling made in nearly every lawsuit (even if just as a hail mary). You referenced “beyond a reasonable doubt” earlier. This is also not the standard used in (US) civil cases–it’s typically a standard consisting of the preponderance of the evidence.

I’m also not sure what you mean by “court approved documentation.” Different jurisdictions approach contract law differently, but courts don’t “approve” most contracts–parties allege there was a binding and contractual agreement, present their evidence to the court, and a mix of judge and jury determines whether under the jurisdictions laws and enforceable agreement occurred and how it can be enforced (i.e., are the obligations severable, what damages, etc.).