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> If it has more LOC, it's harder to maintain, this is a proven fact.

Its a proven fact that given 2 programs, the one with more LOC will be harder to maintain?

It is not mathematically proven, but there are studies that indicate this (e.g Code Complete provides some)

This assumes that the code bases are of similar quality.

> there are studies that indicate this

So... not a proven fact at all. More like a vague correlation with assumptions tacked to the end.