You can read a proof here: Algebraic properties of the Lambert W function from a result of Rosenlicht and of Liouville - Integral Transforms and Special Functions
It is not trivial, or even easy.
Tonio
You can read a proof here: Algebraic properties of the Lambert W function from a result of Rosenlicht and of Liouville - Integral Transforms and Special Functions
It is not trivial, or even easy.
Tonio