Let's avoid rushing to hasty conclusions about the creation of mathematical equivalences; a proof demonstrates a state, it does not compose it.
If an equivalence does not intrinsically exist, no proof can make it appear, highlighting the risk of confusing demonstration with underlying reality.
The distinction is crucial: a proof is a validation tool, not an act of genesis.
In commodity markets, the equivalence between spot gold prices and futures contracts is observed under certain conditions, but it is not the result of a proof; it merely formalizes it.
The true fail-safe is to recognize that if the market environment is unstable, such as unexpected geopolitical shocks impacting crude flows, this equivalence could break, and the proof then becomes a theoretical framework without an operational mandate.