IANAL, but this definition leaves a bit to be desired. I thought the term "civil law" is almost universally synonymous with the law other than the criminal, constitutional/non-law-of-nations law even in non Common Law countries. Specifically, it is used for law with roots in the Code civil (as opposed to Code pénal etc.) in those parts of Europe having Napoleonic law traditions, with connotations of Enlightenment and positive right theories.