That's great, savask !  The list should be a good indicator of which lemmas 
to add.  The number of essential hypotheses could modulate it, as you 
proposed.  I'll try to have a look at them.  Right now, I see a few which 
are within propositional calculus, which should probably be added (I think, 
7 in the first 24).  If you cut the list at the 24th, you have all the ones 
with score above 200, and all the ones with only two essential steps.  It 
could be a good idea to look at these first.

As for the useless hypothesis in test3 versus test4, it is probably due to 
shared subproofs: the proof of test3 is shorter, and in proofs containing 
it as a subproof, what corresponds to the hypothesis test3.1 was already 
proved for another subproof anyway, so the proof could as well use it with 
no extra cost.

BenoƮt
On Wednesday, July 6, 2022 at 7:37:58 PM UTC+2 savask wrote:

> >But is this a useful theorem?
>
> I personally don't think it is a very enlightening theorem, and I agree 
> with David's comment that items in the list should be considered only as 
> indicators of potential theorems.
>
> I'm not sure there's a way to tell if a theorem is interesting 
> automatically, but I can supplement the list with numbers of essential 
> hypotheses for each suggested lemma. That way things like 
> ["latjle12","syl13anc","mpbi2and"] with 9 essential hypotheses can be 
> avoided.
>

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