To have the number of essential hypotheses available is very useful and 
interesting. I will have a closer look at the items no. 23, 27, 34/48 of 
the list (they require no hypotheses and contain interesting combinations 
of theorems). Unless the corresponding proofs look too awkward, and if they 
really help to shorten proofs significantly, I will add them to set.mm 
(together with the theorem corresponding to item no.6 which I mentioned 
before, although it has many hypotheses - maybe this could serve as example 
of the usefulness of such theorems).

On Friday, July 8, 2022 at 8:00:24 PM UTC+2 savask wrote:

> Here's the list supplemented with the number of essential hypotheses 
> (second column): 
> https://gist.github.com/savask/dce5b48b7317e8144635fda09e983fae There are 
> quite a few theorems with 0-1 hypotheses even among the ones with long 
> proofs, so maybe it's worth looking at these first.
>
> Jim Kingdon added theorem test4 to set.mm (thanks!), and as calculated by 
> Alexander, a subsequent minimize_with run saved 2577 bytes. Theorem test4 
> was "inspired" by test3, which had score 93 in the table, so the savings 
> were almost 30-fold of what was expected.
>

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