Dear fellow Metamathers,

I think I've got it: I'll define "TarskiGLD
<http://us2.metamath.org/mpeuni/df-trkgld.html>" as a relation, where `
G TarskiGLD N ` holds whenever ` G ` is a Tarskian geometry of dimension
` N ` or more. This does the trick without introducing any new syntax.

Sorry for answering so quickly, and to my own post!

_
Thierry


On 23/11/2019 17:33, Thierry Arnoux wrote:

Dear fellow Metamathers,

When introducing new concepts in Metamath, as a convention, I always
try to define new /classes/, which are then either class builders,
functions or operations, instead of introducing a new syntax notation
(BTW, where is this "convention" written down? I think this is not
exactly what the "/new definitions infrequent/
<http://us2.metamath.org/mpeuni/conventions.html>" covers).

However I'm a bit stuck with "TarskiGLD
<http://us2.metamath.org/mpeuni/df-trkgld.html>", the Tarski
geometries of dimension N or more. I initially wanted them defined as
a function of N, however I believe the resulting set is a proper
class, not allowing me to define it as a map-to function. Is there any
trick I can use there?

I thought about restricting to structures, like ` TarskiGLD = ( N e.
NN |-> { g e. dom Struct | ... } ) ` , but dom Struct is also a proper
class.

Right now, my latest pull request
<https://github.com/metamath/set.mm/pull/1266/files> has a new syntax
notation "TarskiGLD ( N )" for that concept, but I would be interested
in any suggestion!

Thanks in advance for your insight!

_
Thierry

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