GovernanceAssignment
plain-language theorem explainer
A structure that packages a governance assignment as a triple of boolean flags for accountability, effectiveness, and legitimacy. Political theorists applying Recognition Science to institutional design under configDim D=5 would cite it when counting admissible governance states. The declaration is a direct structure definition that derives decidable equality and finiteness automatically.
Claim. A governance assignment is a triple $(a,e,l)in{0,1}^3$ whose components record whether the accountability, effectiveness, and legitimacy criteria are satisfied.
background
The module Governance Design from ConfigDim (E7) states that configDim D=5 forces exactly five canonical institutions: executive, legislative, judicial, military, and press. It further notes that the impossibility of satisfying three binary conditions simultaneously (analogous to Arrow's theorem) applies to governance, and that five institutional failure modes likewise equal D=5. The GovernanceAssignment structure supplies the type whose elements are the admissible combinations of the three criteria.
proof idea
Direct structure definition that introduces three boolean fields and derives DecidableEq, BEq, Repr, and Fintype instances.
why it matters
The definition supplies the carrier type for the downstream fullGovernance construction that isolates the single assignment satisfying all three criteria. It realizes the E7 step of the Recognition Science chain by extending the configDim D=5 forcing (already obtained from the T0-T8 chain) into the sociological domain. The module records that this matches the classical five-institution pattern observed in stable democracies.
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