Let's stop going in circles; a proof does not create the equivalence it seeks to establish; it reveals it.
We must decide to be precise: the equivalence of sensitivities exists independently of its mathematical demonstration.
It's like gravity: it operated before Newton quantified it; its formula did not make it exist.
We need to set the priority on the practical application of these relationships, and not project an act of creation where there is only a discovery.
For our pension funds, this means that the fundamental principles of the market, such as price efficiency, are objective realities to manage, not malleable theoretical constructs.