cpm_closure_report
plain-language theorem explainer
cpm_closure_report defines a string that asserts successful closure of the CPM core across A/B/C domains with a toy-model witness. Researchers auditing URC adapters would invoke it for quick certificate checks. The definition instantiates a default CPMClosureCert and applies its verified_any predicate before concatenating the fixed success lines.
Claim. The function returns the string ``CPM Closure: COMPLETE ✓ Law of existence for A/B/C proven generically, standalone certificate OK, toy-model witness OK'' confirming closure of the classical particle model.
background
CPMClosureCert is a structure deriving Repr that records verification for the standalone CPM method and delegates to the CPMMethodCert predicate. Upstream, the model definition in CPM2D constructs a Model from a Hypothesis bundle by populating fields C, defectMass, orthoMass, energyGap and tests. The constant A denotes the active edge count per fundamental tick and satisfies the phi-power balance identity at three spatial dimensions. This module supplies an evaluation-friendly report for the standalone CPM core (A/B/C) and its toy-model witness.
proof idea
The definition lets a default instance of the CPMClosureCert structure, invokes the verified_any lemma to establish the verification predicate, and concatenates the fixed report strings.
why it matters
This definition supplies a human-readable report for CPM closure verification within the URCAdapters layer. It supports the standalone certificate for the CPM core, feeding into broader checks on the Recognition Science forcing chain from T0 to T8 and the recognition composition law. No downstream uses are recorded, but it closes the toy-model witness path for the A/B/C domains.
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