IndisputableMonolith.Chemistry.GreenMetricsTenPrinciples
Formalizes green-chemistry scoring inside Recognition Science by attaching a nonnegative domain cost and a positive canonical threshold to each principle check. Chemists and RS auditors cite it when they need a Lean certificate that a process meets a stated green-metric bound. The module is mostly definitions plus elementary nonnegativity and inhabitance lemmas over the RS cost layer.
claimA domain cost $C$ on chemical configurations, with $C\ge 0$ and a positive canonical threshold $\tau>0$, together with a certificate type asserting that a process satisfies the ten green-chemistry principle checks relative to $(C,\tau)$.
background
Recognition Science measures mismatch with the J-cost $J(x)=(x+x^{-1})/2-1$ (equivalently $\cosh(\log x)-1$). The Cost import supplies that functional and its elementary inequalities; Constants supplies the RS tick $\tau_0$. This chemistry module lifts those primitives to a domain-level cost on process or molecular configurations.
Sibling definitions introduce domainCost (the configuration cost), its evaluation identity and nonnegativity, a strictly positive canonicalThreshold, and a certificate structure GreenChemPrincCert packing the ten principle checks against that threshold. The local setting is metric bookkeeping for green chemistry, not reaction kinetics or quantum chemistry.
proof idea
Definition-heavy module. Nonnegativity of the domain cost and positivity of the canonical threshold are short algebraic or inheritance lemmas from the Cost layer. The certificate type is a structure; inhabitance is a constructor witness that the bundled inequalities hold for the chosen defaults. No deep forcing or uniqueness argument appears here.
why it matters in Recognition Science
Places green-chemistry principle checks on the same cost footing as the rest of the RS monolith, so later chemistry or sustainability claims can quote a single certificate rather than ad-hoc inequalities. Downstream use is not yet wired in this graph (no used_by edges). It does not touch the T0–T8 forcing chain, RCL, or the mass ladder; it is an application layer that reuses J-cost nonnegativity and the RS unit conventions.
scope and limits
- Does not derive the ten principles from the forcing chain or RCL.
- Does not compute experimental E-factors, atom economy, or lab yields.
- Does not prove uniqueness of the domain cost or threshold.
- Does not model reaction mechanisms, catalysis, or toxicity endpoints.
- Does not connect to mass-ladder or alpha-band results.