Would it be called a "General check"? " A wholesome check" "Integral Check"?
2 Answers
You can call it a thorough check. You can also call it an in-depth check as my antivirus says. Another software I have has a detailed check.
A full check or a complete check are also variants.
I think that'd be called a thorough check.
Example:
The police first have to conduct a thorough investigation of the crime before any particular suspects are named.