On 8/22/22 07:33, David A. Wheeler wrote:
This is really cool. I've alerted Freek & asked him to add a link to this in:
https://www.cs.ru.nl/~freek/100#25

I have no idea how Freek will handle this. In this case we want *both* proofs to
be cited. Also, this is a proof of unprovability, not a proof in the usual 
sense.
I'll let him figure out what he's going to do :-).

Yeah, he has a convention of putting constructive proofs in italics but doesn't define what "constructive" means. For irrationality of the square root of two the italicized proof is for the equivalent of https://us.metamath.org/ileuni/sqrt2irr.html but I (and wikipedia) interpret "constructive" in the context of this problem as meaning something stronger - https://us.metamath.org/ileuni/sqrt2irrap.html .

I suppose the exmidsbth result may fall under the "does not keep track of /all/ formalizations" disclaimer at the top of the page, but we can let him worry about that sort of thing.

If the goal for iset.mm (supposing it were tracked separately from set.mm) is to get above the lowest-ranked prover on the list, we need three more proofs (iset.mm is at 6 and the lowest prover on the list is at 8). Fortunately, after a dry spell I am finally starting to make some progress on https://github.com/metamath/set.mm/issues/2575 which is a blocker for most of the Metamath 100 theorems (because they rely on summation one way or another).

On a personal note I won't rest until I have https://us.metamath.org/mpeuni/taupi.html in iset.mm.

Which also relies on summation.

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