inevitability_structure_summary
plain-language theorem explainer
The theorem records that the inevitability structure has exactly one closed choke point and three scaffolded choke points. Researchers tracking the Recognition Science cost foundation would cite it to mark the current status of the six necessity gates. The proof is a one-line reflexivity that matches the filter lengths in the closed_count and scaffold_count definitions to the constants 1 and 3.
Claim. The number of closed choke points equals 1 and the number of scaffolded choke points equals 3.
background
The InevitabilityStructure module organizes Recognition Science around six choke points that follow from the CPM/cost foundation. These are cost uniqueness (J(x) = ½(x + x⁻¹) - 1), coercive selection (existence iff defect → 0), forced discreteness, ledger structure from J-symmetry, self-similarity forcing the golden ratio, and dimension forcing to D = 3. closed_count is defined as the length of the filter over all_choke_points where status equals closed; scaffold_count uses the same filter for status scaffold. The module treats these counts as a progress marker toward the claim that any zero-parameter alternative must violate one of the listed necessities.
proof idea
The proof is a term-mode one-liner that applies reflexivity to the pair of definitions. It reduces closed_count and scaffold_count directly to their respective filter lengths on all_choke_points and matches the resulting naturals to the literals 1 and 3.
why it matters
The declaration supplies a snapshot of the inevitability upgrade path inside the cost foundation. It records that one choke point is closed while three remain scaffolded, directly supporting the module's statement that alternatives must break a necessity gate or add parameters. The open scaffolds are CPM Universality, Framework Exclusivity, and Dimension Forcing, which connect to the T5 J-uniqueness result and the forcing chain that yields D = 3.
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