CatalystSelectivityCert
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.
claimA 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 in Recognition Science
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.
scope and limits
- Does not derive the five regimes from the J-cost functional equation.
- Does not compute numerical selectivities or transition rates.
- Does not address continuous variations or material-specific realizations.
formal statement (Lean)
30structure CatalystSelectivityCert where
31 five_regimes : Fintype.card SelectivityRegime = 5
32