My understanding is that Islamic thought got its big boost in the "Al Andalusian paradise", which essentially consisted of the Muslim conquerors having the conquered peoples translate their books into Arabic, a sizable portion of which was Christian.
This makes me wonder if these translated works were a big inspiration for Islamic law. I know that philosophers like Averroes were very well read in these translated works, as well as contributing greatly to Islamic law.
Additionally, after the Gregorian reform, a big system of canon law was develop that was very widely adopted, which predates the time when philosophers like Averroes were contributing to Islamic law.
It seems plausible to me that canon law was very influential for developing Islamic law, since canon law is highly influenced by Aristotelianism, and Averroes was a big Aristotle fan. Additionally, having a big body of already developed law to rely on would make Averroes' job a lot easier. It's also striking to me that both Catholic and Islamic law try to be completely comprehensive in covering every area of life, since they share the same presupposition that all law is ultimately derivative of divine law.
Is there any validity to this hypothesis that Islamic law is influenced, perhaps significantly, by Catholic canon law?