First and foremost, enthusiasm: the mandate, the compliance, the jurisdiction.
A mathematical proof does not 'create' an equivalence; it demonstrates or formalizes it, but does not confer any practical existence.
In Australia, for an equivalence concept to have a functional value or be used for risk models, it must be validated through rigorous testing and regulatory approval, such as that of the ASIC.
For example, attempting to apply this equivalence in portfolio construction or risk management without such validation would be forbidden.
Theorems are not market rules.