From the title, I thought it was going to be an extension of this discussion: https://mathoverflow.net/questions/376839/what-makes-depende...

It's not, exactly, but some of the concepts do overlap. In particular, the idea of being able to write things in a "natural" mathematical style, then have them translate to an obsessively precise internal representation, is essentially the problem of "elaboration" as described in the top answer.