inflationModelsCert
plain-language theorem explainer
The definition inflationModelsCert packages the enumerated count of five inflation models into the required certificate structure for configDim equal to five. Cosmologists verifying A2-depth predictions in Recognition Science would cite it to confirm the complete set of canonical inflaton families before computing slow-roll observables. The construction is a direct one-line record assignment that inserts the decidable cardinality theorem into the structure field.
Claim. Let $C$ be the structure whose sole field requires that the cardinality of the set of inflation models equals five. Then inflationModelsCert is the instance of $C$ whose five_models component is the theorem establishing that cardinality.
background
The module treats inflation models derived from configuration dimension five, listing five canonical inflaton-potential families: the chaotic $m^2 phi^2$ form, the new-inflation plateau, the hybrid model, the natural axion-like potential, and the alpha-attractor conformal family. Each family produces distinct slow-roll predictions for the scalar spectral index and tensor-to-scalar ratio. The local setting is the A2 depth classification in Recognition Science cosmology, where configDim equals five fixes the number of models under examination.
proof idea
The definition is a one-line wrapper that constructs the InflationModelsCert record by assigning the result of the inflationModel_count theorem to the five_models field.
why it matters
This definition supplies the certified enumeration of the five inflation models required for the A2 depth analysis. It closes the model-count step whose slow-roll observables are later compared with observations. No downstream uses appear yet, leaving open its integration into derivations of cosmic microwave background parameters from the Recognition Composition Law.
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