It is hazardous to suggest that a mathematical proof 'creates' an equivalence; this risks obscuring the crucial distinction between discovery and generation of a relationship.
A proof establishes the validity and scope of an existing relationship, but it does not bring it into being.
Claiming a creation ex nihilo can mislead us about the very nature of phenomena, especially in economic modeling.
For example, proving an equivalence between different methods of calculating capital needs does not create the necessity for those needs; it simply formalizes how to evaluate them for financial stability.
We should focus our efforts on the due diligence required to understand the underlying principles, not on metaphysical claims about their origin.