Feature request: cosh(asinh(x)) = sqrt(x^2+1)



Hi,
Maxima is able to differentiate asinh(x) correctly, but does not know 
the equation cosh(asinh(x)) = sqrt(x^2 + 1) (at least not in 5.13.0) 
which is usually needed to do that.
Could you add it, please?
Thanks,
 Jan

cosh(asinh(x)) = sqrt(1 - sinh?(asinh(x))) = sqrt(1 - x?)