Everybody gangsta about being correct by construction until they hear about grade school arithmetic
dumb category theory question that might not even make sense. I am incapable of thinking about arrows without thinking about them as functions on sets so that’s probably where is coming from So the identity arrow is the identity on composition, but can you ever construct an arrow that obeys the compositional identity but isn’t “truly” the identity? Or is there no notion of “true” identity for an abstract object as there is for a set (ie mapping each thing to itself)