How would you respond if I said there is nothing wrong with the proof? It correctly proves the statement

"n is the largest integer implies n = 1"

and this is true. To see why, note that "P implies Q" is equivalent to "not P or Q." Then the implication is equivalent to

"n is not the largest integer or n = 1"

which is true because there is no largest integer, so n cannot be the largest integer.

So if "n is the largest integer implies n = 1" is a true statement, correctly proven, then what is wrong with that paragraph?