# The Condition Of Trust - build receipt

## Source authority

- MIRROR_AUDIT MoneyRoot v0.1: source boundary for quotient/fibre claims, finite receipts, falsifiers, and field-owned adapters.
- MoneyRoot v0.3 with the Lean receipt summary: Lean 4.33 receipt for the quotient/fibre and supplemental-read kernel.
- Tool and Technique: The Condition of Enough: declared Enough condition, prefix theorem, scalar minimum-action proof, and receipt reconstruction lemma.
- Recognizable Architecture Historical Dependency Lineage v1.1: ownership and dependency ledger.
- LLM Diaper v1.2.0 editorial receipt: bounded release gate for its stated grammar.
- The Structure of Survival: return law and jurisdiction rule.
- Contact Recognition: occurrence packet, append rule, receipt decoder, and fit.
- Language Mechanics: context, state, equivalence, and traversal.
- Color Meaning Memory Motion: Canonical Normal Form: separate offices for memory, return, and recognition.

## Exact finite corrections

- For B = [[2,1],[1,1]], the characteristic polynomial is lambda^2 - 3 lambda + 1.
- Its eigenvalues are (3 +/- sqrt(5))/2.
- B^n = [[F_(2n+1),F_(2n)],[F_(2n),F_(2n-1)]] for n >= 1.

## Diction and office gate

- The paper excludes the former compressed word family.
- Memory, return, receipt, carriage, and recognition have separate stated offices.
- The paper displays both the return law rho(T_gamma x) = rho(x), T_gamma x != x and the append law R_(n+1) = snoc(R_n, o_(n+1)).

## Local executable receipt

Run:

    python3 -I condition_of_trust_verify.py

The program uses exact integer and rational arithmetic only. It checks the displayed matrix identities, determinants, Fibonacci power law through n=500, finite collision and supplement facts, denominator-cleared mirror identities, and the diction and office gate.

### Run record

On 7 November 2026, the distributed verifier completed with 18 named checks passing. The PDF source compiled cleanly to a 10-page US-letter document. The rendered pages were visually inspected after the final compile.

## Claim boundary

The paper proves formal statements under its displayed hypotheses. Field use requires a declared full condition space, reader, decision, carriage law where applicable, receipt and decoder, stopping condition, observable, calibration, and evidence path.