If it doesn't exist, something similar (though likely inferior) will very probably come into existence.
If nothing like it exists, the consequences would be interesting.
- no Canon Law
- no Bologna school, thus no European tradition of law degrees and much less 'portability' in higher education
- quite possibly no universitas as the basis of European higher education, probably chapel/cathedral schools and subject-specific collegia instead (Salerno over Bologna, basically)
- no legalist domination of the church, no inquisition
- no inquisitorial process, likely a Common-Law analogue dominating continental Europe
- radically different approaches to thing like standards of evidence, property transactions, and precedent
- it is quite conceivable the Roman law concept of property does not survive. That could bugger up Europe's future history no end.