Who has an interest in believing that a proof 'creates' an equivalence?
The gain from discovery lies in revealing a preexisting truth, not in its very invention, otherwise rigor would give way to artificial novelty.
For example, the law of conservation of energy was not created by its proof; it was formalized to guide decisions, like our analyses of gold or oil flows.
A stable equilibrium depends on identifying what is, not on what we wish it to be, especially in the face of the constant volatility of the Brazilian market.