# Ten selected definition interfaces reviewed at source level

The [preserved observations](../snapshots/2026-10-08-baseline/definition-hole-review-queue-2026-10-09-v3.json) cover all 10 configurations and 65 declared entries in the initial static queue. No intended-model mismatch was detected in these selected comparisons. Zero entries remain pending **in this queue**; imported semantics, complete proofs, independent kernel acceptance and executable program correspondence remain unverified. No source compilation was run.

The previous [41-entry edition](definition-semantics-review-2026-10-09-v2.md) remains preserved. Twenty-four observations were added:

| Configuration | Entries | Application boundary |
| --- | ---: | --- |
| DefocusingNLS | 3 | Infinite Fourier convolution/free flow/odd power; finite circular FFT aliasing is a separate model bridge |
| ElementaryPositivity | 1 | Returned witness includes expansion proof for every color count, despite empty theorem_names |
| EuclideanFiveColor | 1 | All plane points and exact unit distances; weak measurable coloring and a finite planning graph differ |
| Naimark | 7 | Actual nonseparable C*-algebra/state/representation predicates; no sampled-matrix construction |
| OccupiedOverlap | 5 | Genuine Specht action and complete multiplicity-copy squared operator-norm sum |
| Rokhlin | 4 | One invertible probability action and asymptotic diverging gaps; no finite rate |
| SpinAngle | 3 | Occupied-row geometry factor plus actual signed type projections and consistent sizes |

No definition hole is treated as proof failure. Source observations complement Comparator's structural checks and its explicit intended-semantics boundary; see [Comparator documentation](https://github.com/leanprover/comparator). The earlier lexical Logspace control remains source-text evidence only.

## Concrete follow-through

[Sparse Fourier aliasing reference](../tools/audit_fourier_aliasing.py) passed [110 finite controls](../prototypes/fourier-aliasing-validation-2026-10-09-v1.json). On u=e^(-ix)+e^(ix), cubic multiplication with a three-point grid adds a phantom constant 2; five points preserve the retained band but lose full reconstruction, while seven recover the full cubic. The twelve-dimensional axis fixture is an operation-semantic control, not a selected blowup-power or PDE solver certificate.

Next inspect trusted import closure and selected proof/program obligations, prepare concrete ten-claim expert comparison inputs, and continue manuscript reviews. All proof/checker claims remain pending until the relevant tools actually run and their outcomes are recorded.