Maybe "remove-braces" and "remove-dvs" ?  You can probably do the PR and 
the discussion may continue there.
Benoît

On Tuesday, November 2, 2021 at 4:37:30 AM UTC+1 [email protected] wrote:

> Yes, I think they should be removed manually.  I'm still not 100% certain 
> those scripts are working as intended, so it would be good to have a human 
> look at each one.
>
> Sure, I can add those scripts to set.mm/scripts.  What do you think of 
> the names?  The "metamath-" prefixes seem redundant.
>
> On Sunday, October 31, 2021 at 10:55:19 AM UTC-6 Benoit wrote:
>
>> Both methods worked. Thanks !  What do you plan to do with these 245 
>> pairs in set.mm (around 100 of them in Main).  Remove them manually to 
>> check we do not remove intentional structuring ?  This could be a 
>> collective work (I could take e.g. 50), and should be coordinated to avoid 
>> merge conflicts with other PRs.  Same questions with extra DVs.
>>
>> Can you do a PR to add both scripts to set.mm/scripts ?
>>
>> Benoît
>>
>> On Sunday, October 31, 2021 at 5:15:30 PM UTC+1 [email protected] wrote:
>>
>>> Try running it like this:
>>>
>>> awk -f metamath-braces set.mm
>>>
>>> If you prefer to run it as a command, then make sure it has the 
>>> executable bits set:
>>>
>>> chmod 0755 metamath-braces
>>>
>>> Then either place it in some directory in your $PATH, or explicitly give 
>>> the directory where it is located, e.g.:
>>>
>>> ./metamath-braces set.mm
>>>
>>> On Sunday, October 31, 2021 at 10:04:58 AM UTC-6 Benoit wrote:
>>>
>>>> I have trouble running the awk script.  Can you see what is wrong ?
>>>>
>>>> $ sh metamath-braces set.mm
>>>> metamath-braces: 24: BEGIN: not found
>>>> metamath-braces: 25: /${: not found
>>>> metamath-braces: 26: /${/: not found
>>>> metamath-braces: 27: Syntax error: "(" unexpected
>>>> [and using bash, basically the same thing happens]
>>>> $ bash metamath-braces set.mm
>>>> metamath-braces: ligne 24: BEGIN : commande introuvable
>>>> metamath-braces: ligne 25: /${: Aucun fichier ou dossier de ce type
>>>> metamath-braces: ligne 26: /${/: Aucun fichier ou dossier de ce type
>>>> metamath-braces: ligne 27: erreur de syntaxe près du symbole inattendu 
>>>> « ( »
>>>> metamath-braces: ligne 27: `/\$\}/ { if (empty[i] != 0) 
>>>> print(empty[i]); delete empty[i] }'
>>>> $ metamath-braces set.mm
>>>> bash: metamath-braces : commande introuvable
>>>> $ uname -r
>>>> 5.10.0-9-amd64
>>>>
>>>>
>>>> On Sunday, October 31, 2021 at 4:34:04 PM UTC+1 [email protected] 
>>>> wrote:
>>>>
>>>>> If I change the script to not ignore braces containing only comments, 
>>>>> then it triggers on comments about the braces, such as on line 12383 of 
>>>>> set.mm (as of today).  I've worked on both scripts and made the 
>>>>> following changes.
>>>>>
>>>>> The metamath-braces script now reports the line number of the opening 
>>>>> ${ instead of the name of the final theorem in the block.  That seems 
>>>>> more 
>>>>> useful.  I've taken a different approach to skipping over instances of 
>>>>> "${ 
>>>>> ... }$" in the comments, and it seems to work.  Braces containing only 
>>>>> comments are now reported.
>>>>>
>>>>> The metamath-dvs.py script now records the variables mentioned in $e 
>>>>> statements, and counts those as uses when examining $d statements.  This 
>>>>> fixes the bug Thierry Arnoux pointed out.
>>>>>
>>>>> The new versions are available at the same URLs as before:
>>>>> http://jamezone.org/pleasure/mathematics/metamath-braces
>>>>> http://jamezone.org/pleasure/mathematics/metamath-dvs.py
>>>>>
>>>>> On Saturday, October 30, 2021 at 5:09:00 AM UTC-6 Benoit wrote:
>>>>>
>>>>>> You wrote "ignore braces that do not include any $p statements".  
>>>>>> Maybe make it "ignore braces that do not include any $p statements nor 
>>>>>> any 
>>>>>> $a-statements" ?  Or even, don't ignore them ? Is there a reason to keep 
>>>>>> braces enclosing only comments ?
>>>>>>
>>>>>> Thanks for the clarifications.
>>>>>>
>>>>>> Benoît
>>>>>>
>>>>>> On Saturday, October 30, 2021 at 1:04:36 AM UTC+2 [email protected] 
>>>>>> wrote:
>>>>>>
>>>>>>> For the first point, the ${ $} pair can enclose more than one 
>>>>>>> $-statement.  Specifically, once a ${ is seen, the script starts 
>>>>>>> watching 
>>>>>>> for any of $c, $d, $e, $f, or $v.   (That's the last line of the awk 
>>>>>>> script.)  If it sees the matching $} without finding any, then it 
>>>>>>> reports 
>>>>>>> that pair of braces.  I made it ignore braces that do not include any 
>>>>>>> $p 
>>>>>>> statements (the next to last line) because there are some used solely 
>>>>>>> to 
>>>>>>> contain comments.
>>>>>>>
>>>>>>> For the second point, yes there might still be extraneous dv 
>>>>>>> conditions.  Finding those would take significantly more work.  Also 
>>>>>>> note 
>>>>>>> that Thierry Arnoux found a bug in that script.  I will try to fix it 
>>>>>>> this 
>>>>>>> weekend.
>>>>>>>
>>>>>>> On Friday, October 29, 2021 at 4:49:03 AM UTC-6 Benoit wrote:
>>>>>>>
>>>>>>>> Nice !  Just to clarify:
>>>>>>>>
>>>>>>>> The first script finds ${--$} pairs which enclose at most one (or 
>>>>>>>> exactly one?) $-statement, and that $-statement is a $p-statement 
>>>>>>>> (what if 
>>>>>>>> the single $-statement is an $a-statement ? the awk program does not 
>>>>>>>> seem 
>>>>>>>> to take them into accound).
>>>>>>>>
>>>>>>>> As for the second: it removes $d conditions among non-occurring 
>>>>>>>> variables (whether in the statement or in the proof, i.e., dummy 
>>>>>>>> variables).  But there could still remain extraneous dv conditions.  
>>>>>>>> Correct ?  Would it be doable to find these as well ?
>>>>>>>>
>>>>>>>> Thanks,
>>>>>>>> Benoît
>>>>>>>>
>>>>>>>>
>>>>>>>> On Friday, October 29, 2021 at 8:11:28 AM UTC+2 Thierry Arnoux 
>>>>>>>> wrote:
>>>>>>>>
>>>>>>>>> Hi Jerry,
>>>>>>>>>
>>>>>>>>> Very nice! 
>>>>>>>>>
>>>>>>>>> I think we shall remove those unnecessary braces, and the "braces" 
>>>>>>>>> script could be added to our continuous integration, checking at 
>>>>>>>>> every 
>>>>>>>>> commit that no new useless braces are added. 
>>>>>>>>> At least we shall add the "braces" script to metamath's script 
>>>>>>>>> directory.
>>>>>>>>>
>>>>>>>>> Concerning the distinct variable statements however, I think you 
>>>>>>>>> have some false positives. It for example detects `.x.` at line 
>>>>>>>>> 728127, 
>>>>>>>>> that is for theorem ~lincresunit2 in AV's mathbox. When I remove this 
>>>>>>>>> DV, 
>>>>>>>>> MMJ2 complains it's missing. `.x.` actually appears in the essential 
>>>>>>>>> hypothesis ~lincresunit.t. There are other examples, it seems to be 
>>>>>>>>> when 
>>>>>>>>> the essential hypothesis actually appears before the DV declaration.
>>>>>>>>> Otherwise you seem to have done a good job avoiding the pitfall of 
>>>>>>>>> variables which are introduced in the proof, but don't appear either 
>>>>>>>>> in the 
>>>>>>>>> theorem statement, nor in the essential hypothesis. Those have to be 
>>>>>>>>> declared as distinct variables anyway. There was a discussion thread 
>>>>>>>>> about 
>>>>>>>>> removing those, but I think we decided to keep them for the moment. 
>>>>>>>>>
>>>>>>>>> BR,
>>>>>>>>> _
>>>>>>>>> Thierry
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> On 29/10/2021 11:17, Jerry James wrote:
>>>>>>>>>
>>>>>>>>> I have been studying parts of set.mm that I want to understand 
>>>>>>>>> better.  While doing so, I have occasionally encountered unnecessary 
>>>>>>>>> ${ $} 
>>>>>>>>> pairs, and occasionally have seen $d statements for variables that do 
>>>>>>>>> not 
>>>>>>>>> appear in the theorems or proofs in that scope.  Tonight I wrote a 
>>>>>>>>> pair of 
>>>>>>>>> scripts to detect these situations.  It is a testament to the 
>>>>>>>>> simplicity of 
>>>>>>>>> the metamath grammar that I could write both in a single evening.
>>>>>>>>>
>>>>>>>>> Here is a 5-line awk script that identifies unnecessary braces:
>>>>>>>>> http://jamezone.org/pleasure/mathematics/metamath-braces
>>>>>>>>>
>>>>>>>>> This is the number of unnecessary brace pairs per mm file 
>>>>>>>>> (skipping those with zero):
>>>>>>>>> - iset.mm: 51 
>>>>>>>>> - nf.mm: 56
>>>>>>>>> - set.mm: 207
>>>>>>>>>
>>>>>>>>> For the second issue, I started writing awk code as well, but 
>>>>>>>>> quickly came to the realization that the line-oriented nature of awk 
>>>>>>>>> was 
>>>>>>>>> not well suited to the task.  Here is a python script that finds $d 
>>>>>>>>> statements for variables that do not appear below the $d in the same 
>>>>>>>>> scope:
>>>>>>>>> http://jamezone.org/pleasure/mathematics/metamath-dvs.py
>>>>>>>>>
>>>>>>>>> This is the number of variables it found per file (skipping those 
>>>>>>>>> with zero):
>>>>>>>>> - hol.mm: 1
>>>>>>>>> - iset.mm: 1302
>>>>>>>>> - nf.mm: 390
>>>>>>>>> - set.mm: 6124
>>>>>>>>>
>>>>>>>>> Unnecessary braces and $d statements are not critical issues, of 
>>>>>>>>> course.  I offer these scripts to anyone who wants to declutter a 
>>>>>>>>> metamath 
>>>>>>>>> database.
>>>>>>>>>
>>>>>>>>> Regards,
>>>>>>>>> -- 
>>>>>>>>> Jerry James
>>>>>>>>> http://jamezone.org/
>>>>>>>>>
>>>>>>>>> -- 
>>>>>>>>> You received this message because you are subscribed to the Google 
>>>>>>>>> Groups "Metamath" group.
>>>>>>>>> To unsubscribe from this group and stop receiving emails from it, 
>>>>>>>>> send an email to [email protected].
>>>>>>>>> To view this discussion on the web visit 
>>>>>>>>> https://groups.google.com/d/msgid/metamath/ff2c85a4-8ddd-4b6b-b27a-bf5867addf81n%40googlegroups.com
>>>>>>>>>  
>>>>>>>>> <https://groups.google.com/d/msgid/metamath/ff2c85a4-8ddd-4b6b-b27a-bf5867addf81n%40googlegroups.com?utm_medium=email&utm_source=footer>
>>>>>>>>> .
>>>>>>>>>
>>>>>>>>>

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