precedentStabilityCert
plain-language theorem explainer
precedentStabilityCert constructs a record certifying that total σ-charge is additive over corpus unions, that overturning a precedent of weight at least 1 decreases total σ by exactly that weight, and that the maximum substantive amendment rate is bounded by the 45-year gap cycle with the US rate at most 1/35 yr. Constitutional scholars modeling stare decisis as σ-conservation would cite the certificate to derive stability bounds. The definition is a direct record literal that populates each field from sibling lemmas already proved in the same
Claim. The structure asserts: total σ-charge of the empty corpus equals zero; σ-charge is additive under concatenation of corpora; overturning a precedent of weight at least 1 decreases total σ by exactly that weight; the amendment cycle equals 45; the maximum amendment rate equals 1/45 per year; and the US substantive σ-creating amendment rate is at most 1/35 per year.
background
Recognition Science models common-law precedent as a σ-weighted structure on the legal-decision graph, where σ-charge equals authoritative weight (trial=1, appeal=2, supreme=3). The corpus is defined as the list of active precedents, and totalSigma is the sum of those weights. The module treats stare decisis as the σ-conserving operation: overturning without an equivalent replacement violates conservation, while amendment rates are bounded by the gap-45 frustration period.
proof idea
The definition constructs the PrecedentStabilityCert record by direct field assignment: totalSigma_nil to Corpus.totalSigma_nil, totalSigma_append to Corpus.totalSigma_append, overturn_decreases to overturn_decreases_sigma, amendment_cycle_eq to amendmentCycle_eq, max_rate_eq to maxAmendmentRate_eq, and US_substantive_below to US_substantive_rate. It is a one-line record literal with no tactics or additional reasoning.
why it matters
This supplies the master certificate for Track I5 precedent stability, packaging σ-additivity, strict decrease on overturn, and the 1/45 yr rate bound derived from the gap definition (product of closure and Fibonacci factors). It closes the module by assembling the conservation properties into a single object that downstream jurisprudence arguments can invoke. The construction touches the module falsifier: any documented constitutional amendment rate above 1/45 yr in a democracy with over 100 years of history would refute the bound.
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