" Give one vote for the top candidate(s) over every lower candidate(s). Scratch off the top candidate(s) repeat until the ballot is exhausted.
What else is there to prove...?"
Well, not sure what you "proved", but as you described it either you elected the losing-est candidate or you said Borda was right.
Huh? All I did was explain the actual process of filling out a pairwise matrix using ranked ballots. The question of whether this is valid or not goes back to whether all preferences are transitive. I take that to be axiomatic, you do not.
-Adam
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