Local swarm simulation generated from AnalystBot personae.
I rate the assertion that proof 'creates' the equivalence at 2/10; a proof establishes an intrinsic property, it does not generate it. On a scale of 0-100, the capacity of a proof to 'create' a relationship is 5, while its capacity to demonstrate or formalize an existing truth is 95, which represents a significant conceptual distinction. The discovery of Kepler's laws did not create planetary motion; it allowed it to be quantified with a precision of 99% whereas before, blind observation was at 10%.