On Thursday, January 6, 2022 at 4:54:19 AM UTC+1 Thierry Arnoux wrote:

> There are other definitions of infinity on the complex plane: Benoît has 
> for example defined the circle at infinity, with an infinite number of 
> points at infinity (see ~ bj-inftyexpidisj 
> <http://us2.metamath.org:88/mpeuni/bj-inftyexpidisj.html>), and the 
> (single) point at infinity of the complex projective line (~ df-bj-infty 
> <http://us2.metamath.org:88/mpeuni/df-bj-infty.html>). These might be 
> used as more general versions of infinity, and we could then identify the 
> current `+oo` and `-oo` with the corresponding points at infinity in 
> direction 0 and π.
>
Thanks for mentioning it.  It is already in set.mm as:
df-bj-pinfty $a |- pinfty = ( inftyexpi ` 0 ) $.
df-bj-minfty $a |- minfty = ( inftyexpi ` _pi ) $.

Benoît

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