Reading the drawing
The boxes describe the retained source edition: saved formal logs, its rational example checks and false controls, and its PDF build and page review. The bottom note keeps these evidence categories separate and rejects a combined proof count.
Drawing labels and data 4 labels
Read the original labels as selectable text. Tables preserve grid relationships; other short labels are grouped compactly.
inherited formal
33 scoped results
saved Lean logs
fresh examples
rational checks
false controls
fresh edition
PDF build
page review
Separate claims, separate evidence records. No combined proof count.
Evidence note from the source edition
The three evidence tracks have distinct scopes. The formal contract is inherited; the new exact examples and the present PDF build are fresh editorial checks.
Read the records without adding incompatible counts
The September visual release records 204 exact or symbolic checks and 11 rejected false controls for its 28-page atlas. The scripts and saved report remain available. The monograph reruns the original symbolic suite with SymPy and mpmath. Its recorded inputs, outputs, resource limits, and execution logs accompany the current result.
The monograph also reruns the separate standard-library exact checker for V–29 through V–41. It uses rational matrices, finite polynomial algebra, Gaussian moments, and rational coefficients of logarithms. It checks the stated finite examples and rejects deliberately false alternatives. Its report records 120 assertions and 8 rejected false controls. A separate current verification also reruns 182 rational assertions and 4 rejected false controls for selected inherited models. That narrower check overlaps the full symbolic replay and remains separate from its count.
The new checks do not numerically certify improper integrals, all time horizons, or every analytic theorem. For example, the integrated memory weights use the stated exponential-integral formula; the checker verifies its coefficients and finite selection problem. Gaussian polynomial checks do not prove Hermite completeness. Rational entropy coefficient identities do not replace the general support-sensitive chain rule.
The formal and editorial boundaries stay separate
The inherited Lean record covers 33 scoped results with 341 supporting theorem declarations in 47 proof modules. This guide neither enlarges that denominator nor claims a fresh kernel build. Traditional Part II retains broader written proofs; Part III retains earlier complementary results and the operator-substitution material migrated from Paper IV. The Lean companion maps their relationship to the formal baseline.
All 40 plates are editable vector sources: the 26 original plates plus 14 editorial plates. The portable build compiles the shipped geometry without needing symbolic regeneration. The supplied models and Python generators were used to regenerate all forty plates. Geometry samples remain drawing coordinates rather than additional analytic proofs.
Read this as
A final edition can preserve strong earlier evidence while reporting exactly which checks were rerun. Treat each evidence count as a count of its own declared scope.