methodReport
plain-language theorem explainer
methodReport produces the string 'CPM Method Report: OK' by instantiating the empty CPMMethodCert structure, applying verified_any to confirm its verified property, and forcing evaluation of the toy model positivity facts. Researchers checking URC adapters for Recognition Science consistency would cite this report to audit the standalone CPM certificate. The definition works as a direct construction that triggers the certificate verification and witness facts without additional computation.
Claim. The method report is the constant string ``CPM Method Report: OK'' obtained by constructing a CPMMethodCert instance, establishing that it satisfies the verified property via the any-instance lemma, and evaluating the toy-model defect, energy, and cmin positivity statements.
background
The module supplies machine-readable checks for the standalone CPM method certificate (generic A/B/C plus toy-model witness) inside the URC adapters layer. CPMMethodCert is the structure whose verified property is witnessed by verified_any; the toy model sets all functionals to the constant 1 with numerical inequalities holding. Upstream structures supply the surrounding Recognition Science setting: nuclear densities on phi-tiers (NucleosynthesisTiers.of), J-cost minimization on the positive reals (PhiForcingDerived.of and LedgerFactorization.of), spectral emergence of gauge content and generations (SpectralEmergence.of), and convex J-cost structure (PhysicsComplexityStructure.of).
proof idea
The definition lets cert be the empty CPMMethodCert, applies verified_any to obtain the verified proof, forces evaluation of toyModel_defect_pos, toyModel_energy_pos and toyModel_cmin_pos, then returns the literal report string. It is a direct definition that performs no further reduction.
why it matters
The definition supplies the report string consumed by methodReport_ok, which closes the CPMReports module. It supports quick auditing of the standalone CPM certificate assumptions that sit atop the J-cost, phi-ladder and eight-tick structures of the Recognition framework. No open scaffolding is closed here; the declaration remains a lightweight verification aid.
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