institutionalDesignCert
plain-language theorem explainer
The declaration supplies a concrete certificate for institutional design by packaging a canonical J-cost certificate as its base field. Modelers of governance stability would cite this when verifying that power-concentration ratios keep per-pair J-costs inside the canonical band. The construction is a direct one-line record that populates the base component of the InstitutionalDesignCert structure.
Claim. Let $I$ be the institutional design certificate. Then $I$ is the structure whose sole field is the base component equal to the canonical certificate cert.
background
The module develops E7: Institutional Design from J-Cost on Power-Distribution Ratio. J-cost is applied to the ratio r of observed power concentration to balanced distribution; stable governance requires this cost to stay below the canonical band on every institution pair. The structure InstitutionalDesignCert is defined with a single field base : CanonicalCert, which packages the underlying certificate. The module imports CanonicalJBand to supply the band bounds and compounds with the five-institution configuration from PoliticalSystemsFromSigmaConservation.
proof idea
This is a one-line definition that constructs the InstitutionalDesignCert record by setting its base field to cert.
why it matters
The definition supplies the concrete object required by the E7 claim in the Recognition Science sociology extension. It links the J-cost formalism (derived from T5 J-uniqueness) to checks on power-distribution ratios, placing institutional capture outside the allowed band. No downstream theorems are recorded yet, so the declaration closes the local construction without addressing open questions on multi-institution dynamics.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.