Hi all,

We could certainly include those proofs in set.mm, crediting both Gino
and myself. I'll see if I can propose a PR. It will not be perfect at
first, but they can be reworked to remove hypotheses, DV conditions and
axiom dependencies.

BR,
_
Thierry


On 27/12/2024 17:16, Gino Giotto wrote:
Merry Christmas everybody. So, I compared the proofs Thierry and I
worked on. To me, it looks clear that using class variables is better
for proof length and simplicity, therefore, in the best interest of
the database, I think Thierry's versions are the ones to be added.

He did not remove some hypotheses and DV conditions as I did (like
removing the closure hypothesis in the Eckmann-Hilton argument), but I
see no reason why this wouldn't be possible with his proofs as well.
Removing hypotheses should come at no cost, while removing DVs might
lengthen some proofs. So far, only one person expressed an opinion on
this matter (favouring fewer DVs), so it might be worth collecting
other thoughts.

There is also a difference in axiom usage. Thierry's versions of
/~//mendpadmlem8/, /~//mendpadmlem9/, /~//mendpadmlem10/  use /ax-pr/ 
and /ax-sep/, while mine avoid them. Additionally, Thierry's versions
of /~//mendpadmbilem4/, /~//mendpadmbilem5/, /~//mendpadmbi/ use
/ax-pre-sup/, while I avoided it altogether. As a result, my version
of the goal statement of the challenge (/~mendpadmbi/) has fewer DV
conditions (saving /$d x M y z $./) and uses one fewer axiom
(/~//ax-pre-sup/).

>  Advent of metamath has ended - both Gino and Thierry finished
formalizing all problems, including the bonus ones.

I started from the third theorem /~aabbaa/, so only Thierry formalized
all problems.

I'd like to hear from Thierry, also regarding credits, whether he
would be ok with Savask's proposals or not (I was the first to
formalize every theorem from /~aabbaa /onward, but his versions are
better suited for the shared database).

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