That's a very nice introduction (although a bit fast for me when describing 
tactics).  I like the explicit dichotomy between the proof assistant, that 
may be large with many features, versus the proof verifier, that has to be 
minimal.

I was wondering how "delimiter" works.  Can there be middle delimiters ?  
For instance, if I want to allow expresions like {x|ph}, should I write
  delimiter ${$ $|$ $}$;
or
  delimiter ${ |$ $} |$;

Secondly, is it one line per matching pair of delimiters or a single line 
for all of them:
  delimiter $($ $)$;
  delimiter $[$ $]$;
versus
  delimiter $( [$ $) ]$;
Probably the latter, considering your example
  delimiter $( ~$ $)$;

And lastly, can I have multi-character delimiters like
  delimiter $\[$ $\]$;
or the even more ambiguous
  delimiter $(( ($ $)) )$;
I understand that the tokenizer puts an implicit space after every left 
delimiter and before every right delimiter, but in the last case I am not 
sure what it does.

Compared with Metamath, the "|-" type has been replaced with the "provable" 
qualifier.  I am not sure I see all the implications.  For instance, 
Metamath has to prove that longer expressions are well-defined, e.g. it has 
to prove "wff ( ph -> ph )" before proving "|- ( ph -> ph )" (it does it 
implicitly in the non-essential steps, but this can be made explicit, see 
e.g. http://us.metamath.org/mpeuni/bj-0.html).  How does this translate in 
MM0 ?

A smaller thing: I would have said that the opposite of "public" is 
"private", not "local", but there might be a reason why you chose the 
latter term ?

Thanks,
BenoƮt
On Tuesday, January 5, 2021 at 6:38:41 PM UTC+1 [email protected] wrote:

> Hi All,
>
> I've finally gotten around to writing a tutorial on MM0 and mm0-rs for the 
> lean together conference this year. Perhaps it will help situate it with 
> respect to other metamath-based theorem provers in terms of feature set.
>
> https://www.youtube.com/watch?v=A7WfrW7-ifw
>
> Mario
>

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