fullGovernance
fullGovernance constructs the single assignment in which accountability, effectiveness, and legitimacy are simultaneously true. Researchers modeling institutional stability under configDim D=5 cite it when establishing uniqueness of full governance. The definition is realized by a direct structure constructor with no lemmas or reductions.
claimThe full governance assignment is the element of the structure with Boolean fields accountability, effectiveness, and legitimacy all equal to true.
background
GovernanceAssignment is the structure whose three fields are the Boolean predicates accountability, effectiveness, and legitimacy. The module states that configDim D=5 forces exactly five canonical institutions (executive, legislative, judicial, military, press) and that no single institution can satisfy all three binary criteria simultaneously, analogous to Arrow's theorem. Upstream results supply the dimensional pattern: seven plot families, eight kinship systems, seven musical modes, and seven ore classes, each realizing a list whose cardinality matches a Recognition Science dimension.
proof idea
The definition is a one-line constructor application that supplies the triple of true values to the three fields of GovernanceAssignment.
why it matters in Recognition Science
This definition supplies the concrete witness required by the uniqueness theorem full_governance_unique and by the certification structure GovernanceDesignCert. It marks the sole point of three-criterion satisfaction inside the governance model derived from configDim D=5. The construction closes the local instance of the broader forcing pattern already visible in the upstream all-lists from narrative geodesics, kinship cohomology, modal preference, and asteroid spectroscopy.
scope and limits
- Does not prove realizability of the assignment inside any concrete political system.
- Does not derive the three criteria from the five institutions.
- Does not address stability or dynamics of the assignment over time.
formal statement (Lean)
53def fullGovernance : GovernanceAssignment := ⟨true, true, true⟩
proof body
Definition body.
54
55/-- Only 1 assignment satisfies all three criteria. -/