CatalystSelectivityCert
plain-language theorem explainer
The selectivity certification structure asserts that heterogeneous catalysis admits exactly five canonical regimes under the J-cost model. Industrial chemists modeling branching and selectivity would cite it to anchor their regime enumeration to the Recognition framework. The definition packages a single cardinality assertion derived from the enumerated regime type.
Claim. A structure certifying that the set of selectivity regimes has cardinality five, where the regimes are perfect selectivity, primary-product dominant, branching selectivity, mixed, and non-selective.
background
The module treats five canonical selectivity regimes for heterogeneous catalysts, identified with configDim D = 5. These regimes are perfect selectivity, primary-product dominant, branching selectivity, mixed, and non-selective. The Recognition canonical J(φ) band gates the branching point between them.
proof idea
The declaration is a structure definition whose single field states the cardinality equality. It relies on the derived Fintype instance for the inductive enumeration of the five regimes.
why it matters
This definition anchors the chemistry module by certifying the five regimes, which are used by the downstream catalyst selectivity certificate construction. It connects to the Recognition Science framework where configDim D = 5 for chemistry, gated by the J(φ) band. It fills the B10 industrial chemistry depth proposition.
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