In terms of the missions statement, apparently we aren't the only ones, so 
consistency might be more important in any 
case: https://reference.wolfram.com/language/ref/ArcTanh.html

Note e.g. sympy uses atanh as the 
"ordinary": 
https://docs.sympy.org/latest/modules/functions/elementary.html#atanh

On Wednesday, March 23, 2022 at 4:54:16 AM UTC-4 Samuel Lelievre wrote:

> Note that Sage also provides aliases with `a-`
> (the display is still with `arc-`):
> ```
> sage: asinh, acosh, atanh, acoth, asech, acsch
> (arcsinh, arccosh, arctanh, arccoth, arcsech, arccsch)
> ```
>
>

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