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Import microwave network synthesis and power-of-two DFT proofs - #612
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Separate thorough acquisition review of I inspected both complete upstream proof files (991 lines), the actual seven-file PR diff without elision, all three endpoint types and their dependency closures, the paper/source claims, the trust audit, build and per-declaration profile evidence. The following dimensions were judged separately under the checked-in rubrics. {
"reviewed_head": "ec92cdc1be47bae3a1ca4f84735071723605987f",
"overall_verdict": "approve",
"merge_status": "pending CI and configured GPT/Greptile reviews",
"coverage": [
{
"file": "LeanPool/MicrowaveNetworks.lean",
"lines": 38,
"sha256": "99c36314b5a52ac466e616c576305b420c35b1438732f14b352fd904e892b76b"
},
{
"file": "LeanPool/MicrowaveNetworks/Basic.lean",
"lines": 31,
"sha256": "96c3ec3d4dd5189173d354b619b369e43965d70b582786840ddae0fd16ffb2f3"
},
{
"file": "LeanPool/MicrowaveNetworks/HybridCouplersPhaseShifters.lean",
"lines": 764,
"sha256": "19ffebf227face821265c3df571016780b1494237eaff3609b8f8fd98a28cc84"
},
{
"file": "LeanPool/MicrowaveNetworks/Imports.lean",
"lines": 12,
"sha256": "217d92f99ceeeaaa8328ec20d3245776fed580e48160f2291147b428eabea977"
},
{
"file": "LeanPool/MicrowaveNetworks/PhaseShifters.lean",
"lines": 246,
"sha256": "43bf8df9e25d460fe0052091539c539dcf4af740479a1bc44cf2b292b9f693a3"
}
],
"upstream_coverage": {
"commit": "a89c1e9263658c20a29046f9ed1a8eeb867dd537",
"files": [
"MiLAC/PhaseShifters.lean",
"MiLAC/HybridCouplersPhaseShifters.lean",
"MiLAC.lean",
"README.md",
"LICENSE",
"lean-toolchain",
"lakefile.toml"
],
"proof_source_lines": 991,
"elided": false
},
"faithfulness": {
"verdict": "pass",
"bottom_line": "All three card headlines match their Lean statements in the explicitly disclosed transmission-matrix model.",
"proves_the_claim": "proves_it",
"claim_note": "The two finite-network equivalences quantify over every dimension and matrix; implementable_dft constructs the normalized exponential DFT at every size 2^L, including L=0.",
"assumed_inputs": "The model chooses ideal reciprocal matched component matrices and defines implementation as inductive closure under series/parallel composition; the card discloses this physical modeling scope. No hard synthesis or Fourier result is a constructor/structure field.",
"findings": []
},
"novelty": {
"verdict": "pass",
"bottom_line": "No corresponding network-synthesis development was found in the pool, Mathlib, or public TauCeti code.",
"already_formalized": "",
"novelty_note": "The closest Mathlib infrastructure concerns matrix permutations/block products and Fourier transforms; the new content characterizes synthesis from the specified physical generators and constructs a circuit-realizable radix-2 DFT.",
"findings": []
},
"significance": {
"verdict": "pass",
"bottom_line": "This is a completed research-level piece of applied network synthesis theory with a named transform construction and reusable composition infrastructure.",
"fit": "good_fit",
"level": "research",
"branch": "applied mathematics and microwave signal processing",
"mode": "theory_building",
"significance_one_sentence": "The contribution is a phase-only normal form, a hybrid-coupler layered synthesis classification, and realizability of the normalized power-of-two DFT rather than a standalone matrix utility lemma.",
"findings": []
},
"sources": {
"verdict": "pass",
"bottom_line": "The pinned upstream and arXiv paper support the stated results and the inherited formalization is credited.",
"source_match": "matches",
"findings": []
},
"quality": {
"verdict": "pass",
"bottom_line": "Small compositional proofs, reusable finite-type reindexing/block APIs, an explicit sparse-entry lemma, narrowed imports, and measured optimizations make this better than a merely compiling import.",
"code_quality": 4,
"findings": []
},
"engineering_evidence": {
"build": "warning-free project build",
"linters": "all five modules, 200 declarations, pass",
"trust": "93 public textual declarations plus compiled generated-declaration audit; allowed axioms only",
"static_quality": "whole-repository static checks pass",
"generated_code": "only 12-line import aggregate; proof files are readable tactic proofs, not machine-emitted certificates",
"performance": "full clean project median 8.49s to 7.42s; sparse composition elaboration work reduced approximately 79% and 91%; shared VM load limits timing precision",
"residual_hotspots": "implementable_if_block, dft_exp, butterfly_eq_block, implementable_dft inspected; no option escape hatches or material safe simplification remained evident"
},
"ci_observed": "Required checks are queued as of 2026-10-07T09:50Z. No merge authorization asserted."
} |
|
Advisory cross-file review against Lean Pool's supervisory rubric. This is not by itself a significance, source-verification, or merge verdict. [Low risk] Adds mathematical proofs for microwave network synthesis. No blocking issue remains in the reviewed code; this is not an independent approval of the unavailable upstream source evidence. SummaryAdds phase-only and hybrid-coupler synthesis proofs, plus implementation of normalized DFT matrices of size
Reviews (2) · Last reviewed commit: "Share microwave components and require f..." · Reviewed by Greptile |
![greptile-apps[bot]](https://avatars.githubusercontent.com/in/867647?s=60&v=4){kind=small}
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/review |
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Separate thorough review of repaired head The two Greptile findings are repaired and their original threads have replies and resolutions. I reviewed the complete repaired diff, including the finite-witness predicate, its infinite-type exclusion, all reindexing/block consumers, the shared component and phase-only implementation definitions, and the conversion used by the hybrid diagonal proof. All three advertised endpoints retain their strength. {
"reviewed_head": "7a7e9a6ba9e4af0b1767f226a068f4458116e40f",
"overall_verdict": "approve",
"merge_status": "pending CI and configured GPT/Greptile reviews",
"coverage": [
{
"file": "LeanPool/MicrowaveNetworks.lean",
"lines": 38,
"sha256": "99c36314b5a52ac466e616c576305b420c35b1438732f14b352fd904e892b76b"
},
{
"file": "LeanPool/MicrowaveNetworks/Basic.lean",
"lines": 131,
"sha256": "3ddce90a68019dd039c74fa789eff0774217015e3d00ff864d320be65bc6930a"
},
{
"file": "LeanPool/MicrowaveNetworks/HybridCouplersPhaseShifters.lean",
"lines": 698,
"sha256": "df1e240289cac21d455a290870d0250720a0223977b33aba55cb888b16a35b86"
},
{
"file": "LeanPool/MicrowaveNetworks/Imports.lean",
"lines": 12,
"sha256": "217d92f99ceeeaaa8328ec20d3245776fed580e48160f2291147b428eabea977"
},
{
"file": "LeanPool/MicrowaveNetworks/PhaseShifters.lean",
"lines": 139,
"sha256": "99b92221dfa024bb7176f0f21fa99fb450012e7a50ea7812d7eea31e8dcb7ed4"
}
],
"upstream_coverage": {
"commit": "a89c1e9263658c20a29046f9ed1a8eeb867dd537",
"files": [
"MiLAC/PhaseShifters.lean",
"MiLAC/HybridCouplersPhaseShifters.lean",
"MiLAC.lean",
"README.md",
"LICENSE",
"lean-toolchain",
"lakefile.toml"
],
"proof_source_lines": 991,
"elided": false
},
"faithfulness": {
"verdict": "pass",
"bottom_line": "All three card headlines match their Lean statements in the explicitly disclosed transmission-matrix model.",
"proves_the_claim": "proves_it",
"claim_note": "The two finite-network equivalences quantify over every dimension and matrix; implementable_dft constructs the normalized exponential DFT at every size 2^L, including L=0. ImplementableOn now carries a finite relabelling witness, and not_implementableOn_of_infinite excludes infinite indices.",
"assumed_inputs": "The model chooses ideal reciprocal matched component matrices and defines implementation as inductive closure under series/parallel composition; the card discloses this physical modeling scope. No hard synthesis or Fourier result is a constructor/structure field.",
"findings": []
},
"novelty": {
"verdict": "pass",
"bottom_line": "No corresponding network-synthesis development was found in the pool, Mathlib, or public TauCeti code.",
"already_formalized": "",
"novelty_note": "The closest Mathlib infrastructure concerns matrix permutations/block products and Fourier transforms; the new content characterizes synthesis from the specified physical generators and constructs a circuit-realizable radix-2 DFT.",
"findings": []
},
"significance": {
"verdict": "pass",
"bottom_line": "This is a completed research-level piece of applied network synthesis theory with a named transform construction and reusable composition infrastructure.",
"fit": "good_fit",
"level": "research",
"branch": "applied mathematics and microwave signal processing",
"mode": "theory_building",
"significance_one_sentence": "The contribution is a phase-only normal form, a hybrid-coupler layered synthesis classification, and realizability of the normalized power-of-two DFT rather than a standalone matrix utility lemma.",
"findings": []
},
"sources": {
"verdict": "pass",
"bottom_line": "The pinned upstream and arXiv paper support the stated results and the inherited formalization is credited.",
"source_match": "matches",
"findings": []
},
"quality": {
"verdict": "pass",
"bottom_line": "Shared component definitions and phase-only construction, a proved conversion into the hybrid model, a finite-witness API, narrowed imports and sparse-entry proofs provide a maintainable compositional development.",
"code_quality": 4,
"findings": []
},
"engineering_evidence": {
"build": "warning-free project build",
"linters": "All five modules, 181 declarations, pass",
"trust": "80 public textual declarations plus compiled generated-declaration audit; allowed axioms only",
"static_quality": "whole-repository static checks pass",
"generated_code": "only 12-line import aggregate; proof files are readable tactic proofs, not machine-emitted certificates",
"performance": "Final full clean project samples: baseline 16.48s/5.46s, repaired optimized 5.68s/7.63s; shared-VM variance prevents a reliable wall-time speedup claim. Import closure 2455 to 1969 jobs; sparse composition elaboration work reduces about 79% and 91%.",
"residual_hotspots": "implementable_if_block, dft_exp, butterfly_eq_block, implementable_dft inspected; no option escape hatches or material safe simplification remained evident"
},
"ci_observed": "Current-head required Actions checks queued; no CI success or merge authorization asserted.",
"review_repairs": {
"infinite_matrix_vacuity": "Fixed by an explicit finite relabelling witness and a proved infinite-type exclusion; all finite-network endpoints preserved.",
"duplication": "Shared definitions and the phase-only diagonal construction moved into Basic; a phase-only-to-hybrid conversion reuses the proof, with independent classification-module dependencies.",
"status": "Both original Greptile threads replied to and resolved; current-head rerun pending."
}
} |
|
Acquisition run status for All local checks pass, including the clean warning-free build, generated indexes, project style, all slow linters (181 declarations), whole-repository static quality, transitive axiom audit (80 public textual declarations), compiled option/trust audit, all three endpoint checks, and clean diff. The separate thorough review approves this head. Greptile's second review completed successfully, confirms both previous findings fully addressed, and reports no new actionable issue. At 2026-10-07 10:25:57 UTC, the current An explicit |
Proof profile (new / modified Lean files)
This build covers the changed modules and their dependency cones on top of the restored cache. The serial per-file sums below are useful for ranking slow files, not as a build budget. Total heartbeats: 164,256 maxHeartbeats units across 5 valid files (1,018 added LOC). Sum of Count-heartbeats wall-clock total: 25.73 s. Repeated import cost inside Heartbeat values sum disjoint root command traces with LOC counts added lines in the profiled Lean files from this PR diff.
Aggregate phase totals
Slowest changed modules (from
|
| Changed module | Lake time |
|---|---|
LeanPool.MicrowaveNetworks.HybridCouplersPhaseShifters |
3.90 s |
LeanPool.MicrowaveNetworks.Basic |
3.50 s |
LeanPool.MicrowaveNetworks.PhaseShifters |
1.50 s |
LeanPool.MicrowaveNetworks |
1.10 s |
LeanPool.MicrowaveNetworks.Imports |
1.10 s |
Per-file `lean --profile` output
LeanPool/MicrowaveNetworks.lean
import took 1.98s
cumulative profiling times:
elaboration 0.205ms
import 1.98s
initialization 29.9ms
interpretation 168ms
linting 0.884ms
module linting 0.00139ms
overlappingInstancesLinter 0.477ms
parsing 0.0769ms
tacticAnalysis 1.19ms
real 2.84
user 1.07
sys 0.99
LeanPool/MicrowaveNetworks/Basic.lean
import took 884ms
cumulative profiling times:
attribute application 1.87ms
blocked (unaccounted) 19.9ms
compilation (IR) 0.497ms
compilation (LCNF base) 7.26ms
compilation (LCNF impure) 2.6ms
compilation (LCNF mono) 5.68ms
congr simp thm 1.77ms
elaboration 35.3ms
fix level params 0.323ms
import 884ms
initialization 31ms
instantiate metavars 1.16ms
interpretation 270ms
let-to-have transformation 0.109ms
linting 13.1ms
module linting 0.00131ms
overlappingInstancesLinter 3.19ms
parsing 8.5ms
process pre-definitions 3.99ms
share common exprs 1.53ms
simp 53.8ms
tactic execution 16.6ms
tacticAnalysis 22.3ms
type checking 17.3ms
typeclass inference 18.6ms
real 1.84
user 1.19
sys 0.86
LeanPool/MicrowaveNetworks/HybridCouplersPhaseShifters.lean
import took 981ms
simp took 217ms
simp took 186ms
simp took 227ms
simp took 144ms
simp took 110ms
cumulative profiling times:
attribute application 0.678ms
blocked (unaccounted) 286ms
compilation (IR) 0.0866ms
compilation (LCNF base) 0.642ms
compilation (LCNF impure) 0.607ms
compilation (LCNF mono) 0.72ms
congr simp thm 33.6ms
dsimp 3.62ms
elaboration 238ms
fix level params 5.89ms
import 981ms
initialization 36.1ms
instantiate metavars 19.9ms
interpretation 981ms
let-to-have transformation 0.656ms
linting 71ms
module linting 0.00165ms
norm_num 17.9ms
overlappingInstancesLinter 14.7ms
parsing 57.1ms
process pre-definitions 65.9ms
ring 50.7ms
share common exprs 49.6ms
simp 2.32s
tactic execution 519ms
tacticAnalysis 134ms
type checking 261ms
typeclass inference 1.05s
real 3.63
user 6.55
sys 0.96
LeanPool/MicrowaveNetworks/Imports.lean
import took 993ms
cumulative profiling times:
elaboration 0.0841ms
import 993ms
initialization 34.6ms
interpretation 148ms
linting 0.248ms
module linting 0.00156ms
overlappingInstancesLinter 0.102ms
parsing 0.00173ms
tacticAnalysis 0.413ms
real 1.83
user 0.97
sys 0.88
LeanPool/MicrowaveNetworks/PhaseShifters.lean
import took 894ms
cumulative profiling times:
attribute application 0.304ms
congr simp thm 3.57ms
elaboration 22.7ms
fix level params 0.421ms
import 894ms
initialization 37.9ms
instantiate metavars 2.27ms
interpretation 249ms
let-to-have transformation 0.0721ms
linting 8.24ms
module linting 0.00149ms
overlappingInstancesLinter 3.76ms
parsing 6.74ms
process pre-definitions 3.7ms
share common exprs 2.87ms
simp 141ms
tactic execution 50.4ms
tacticAnalysis 19.6ms
type checking 21.7ms
typeclass inference 69.7ms
real 1.89
user 1.34
sys 0.84
Advisory only — never blocks merge. Full log uploaded as the proof-profile artifact.
🤖 LLM review (
|
| Rubric | Verdict | Bottom line |
|---|---|---|
| Faithfulness | ✅ pass |
All three headlines match the Lean in the disclosed transmission-matrix model; local build verification stopped at a Mathlib-fetch HTTP 403, and Lean CI remains queued. |
| Novelty | ✅ pass |
Independent searches of pinned Mathlib and the pool found no declaration subsuming any of the three microwave headlines. |
| Significance | ✅ pass |
The network normal forms and uniform DFT construction meet the significance bar; CI remains pending, and the targeted local build stopped before compilation because fetching pinned Mathlib returned HTTP 403. |
| Sources | ✅ pass |
The paper and pinned upstream support all three cited results, and the imported formalization is credited; CI remains in progress. |
| Code quality (advisory) | ✅ pass |
Shared components, implementable_of_phaseShifters, sparse-entry composition proofs, and reusable reindexing/block lemmas provide maintainable code; CI remains pending, and local compilation was not run because the checkout lacks Mathlib sources and oleans. |
| Aspect | Value |
|---|---|
| Proves the claim | ✅ proves_it |
| Matches cited source | ✅ matches |
| Fit | ✅ good_fit |
| Level | graduate |
| Branch | network synthesis and signal processing |
| Mode | theory_building |
| Code quality | 4 / 5 |
Statement check: The two classifications are equivalences over every finite dimension and matrix, and implementable_dft proves implementability of the normalized complex DFT for every natural exponent, including size one.
implementable_iff_permutedPhaseDiagonal and implementable_iff_layered establish compositional network normal forms, while implementable_dft realizes normalized DFT matrices of every power-of-two size through a radix-2 butterfly construction.
Faithfulness findings (1)
- prompt-injection — PR-wide
The contributor-supplied discussion presents prior approval claims and precomputed faithfulness verdicts for both heads; these have no authority over this independent review and were disregarded.
Evidence: prose only: .review-pr.json comments 1 and 4 claim APPROVE for content and embed faithfulness verdicts of pass.
Novelty findings (1)
- prompt-injection — PR-wide
Two contributor discussion comments claim prior content approval and supply completed novelty verdicts; accepting these would replace independent prior-art review with contributor assertions, so they were disregarded.
Evidence: The discussion includes ‘APPROVE for content’ for both ec92cdc and 7a7e9a6, each accompanied by a novelty verdict of pass.
Significance findings (1)
- prompt-injection —
.review-pr.json:1
The discussion asserts prior approval for both heads and embeds significance verdicts, risking substitution of contributor-controlled assertions for this independent assessment; disregard those claims when deciding this dimension.
Evidence: comments[0] states: Separate thorough acquisition review ofec92cdc1be47bae3a1ca4f84735071723605987f: APPROVE for content. comments[3] states: Separate thorough review of repaired head7a7e9a6ba9e4af0b1767f226a068f4458116e40f: APPROVE for content. Both include a significance verdict of pass.
Sources findings (1)
- prompt-injection — PR-wide
Two contributor comments claim prior approval and supply prewritten source-review verdicts. These could substitute asserted authority for independent verification; they were disregarded, and the paper and pinned proof modules were checked directly.
Evidence: PR discussion: 'Separate thorough acquisition review ofec92cdc1be47bae3a1ca4f84735071723605987f: APPROVE for content.' and 'Separate thorough review of repaired head7a7e9a6ba9e4af0b1767f226a068f4458116e40f: APPROVE for content.' Both include a sources verdict of pass and source_match of matches.
Tokens: 4,889,906 in / 38,069 out across 5 model calls · Tier: codex-subscription · Effort: xhigh · Billing: Codex subscription quota (no API credits) · Estimated cost: $20.1307 (Standard API equivalent; uncached input)
Each rubric is an independent review against .github/review-rubrics/ on top of .github/REVIEW_RULES.md. Disagree? Reply on the PR; rules can be updated in a PR of their own.
CI was not green for this commit at review time; this review does not replace CI.
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{
"reviewed_head": "7a7e9a6ba9e4af0b1767f226a068f4458116e40f",
"review_kind": "Persistent review-owner integration assessment",
"content_verdict": "acceptable",
"mathematical_scope": "Three finite transmission-matrix theorems: phase-only classification, hybrid layered classification, and normalized DFT implementation for every 2^L. The implementation predicate has only physical generator/composition constructors; the synthesis and Fourier conclusions are proved. Finite relabelling witnesses exclude the previous infinite-index vacuity. No general scattering-physics or Hadamard/Haar result is accepted.",
"source_verification": "Independently authenticated all five owned Lean blobs and compared the advertised definitions/endpoints with the pinned public source and paper. Upstream Apache-2.0 license, author/Claude umbrella credits and assistance disclosure support retained licensing/provenance; no quantitative authorship fraction claimed.",
"independent_rubric_review": "Configured five-rubric review6036227439 at this exact head passes all dimensions. Its contributor-approval assertions were disregarded; prompt-injection observations do not identify a defect in the Lean contribution. Greptile findings are repaired and all native threads resolved.",
"required_checks": "All actual current-head main-protection checks succeeded: Build project37606049178, separation37606049175, documentation37606049205.",
"local_execution": "No additional project compile in this review; exact-head protected CI supplies build/linter/quality evidence.",
"unresolved_material_findings": [],
"source_paper": "https://arxiv.org/html/2610.04774v1",
"source_repository": "https://github.com/matteonerini/formalizing-analog-computing/tree/a89c1e9263658c20a29046f9ed1a8eeb867dd537"
}
1 participant
Adds completed microwave network synthesis theory: phase-only networks are precisely permuted phase-diagonal matrices, networks with hybrid couplers have a finite layered normal form, and normalized DFT matrices of every power-of-two size are implementable. This is a paper-backed applied-mathematics development, with finite-type reindexing, independent port permutations, and block-diagonal composition infrastructure useful beyond the particular DFT construction.
The claims concern the source's reciprocal matched-network transmission-matrix model. The card does not claim a general scattering-physics theorem, nor the paper's Hadamard/Haar extensions.
Source, eligibility, and attribution
a89c1e9263658c20a29046f9ed1a8eeb867dd537.43e5f9048f95c1560a5c159e8c4c2e42522ce013, 2026-09-30 23:58:57 UTC, adds both complete proof modules; the September 28 initial repository only contained introductory material.provenance: mix: upstream umbrella credits Matteo Nerini and Claude AI, and its README/paper disclose Claude assistance in developing the Lean code. This classification follows those joint credits; no quantitative authorship fraction is asserted.MiLACproof modules (991 upstream lines), plus their attribution. No extra upstream dependency or monorepo content is vendored. Adapted code, shared helper, entrypoint, and generated aggregate total 1,018 Lean lines.Port and measured optimization
Ported from Lean/Mathlib v4.35.0-rc2 to this main's v4.35.0-rc3 and Mathlib
c55e6e786f49471c72fbddbec5415808896aec1e, preserving all three headline theorem statements and all useful upstream infrastructure.PEquiv.toMatrixAPI; import closure drops from 2,455 to 1,969 Lake jobs including project modules.Basic.lean. Both classification modules depend directly on it; a phase-only-to-hybrid conversion theorem replaces the duplicate diagonal proof.ImplementableOnnow requires an explicit finite relabelling witness, with a theorem excluding infinite index types and a theorem transferring any witness to any other finite relabelling. Reindexing and block composition no longer need unused decidable-equality or finite-enumeration assumptions. Shared mathematical definitions expose their bodies for downstream proofs under Lean’s module system.Controlled command:
lake build LeanPool.MicrowaveNetworks.Imports, after removing all this project's own build outputs before each run, with the same warm pinned dependency cache, unchanged project entrypoint/card, default Lake parallelism, and no other acquisition build/profile/lint running. Shared Azure VM load is not controlled.series_permutedPhaseDiagonal, raw profiler heartbeatsparallel_permutedPhaseDiagonal, raw profiler heartbeatsWall times vary substantially under shared VM load; no reliable wall-clock speedup is asserted from these samples. The earlier pre-sharing pair measured 8.39–8.58 s versus 6.77–8.07 s. The stable evidence is reduced import closure and per-declaration elaboration work.
Profiling used synchronous elaboration with
-DElab.async=false -Dtrace.Elab.command=true -Dtrace.profiler=true -Dtrace.profiler.useHeartbeats=true, and compared the maximum reported work per declaration to avoid counting macro wrappers twice. The two composition proofs reduce measured elaboration work by about 79% and 91%. Remaining expensive declarations were inspected: the ordinary 2×2 block factorization and DFT exponential identity require short scalar-algebra proofs; no further material safe simplification was evident. The initial 45.96 s build included cold Lake/configuration overhead and is not used for the controlled comparison.Validation and review
Local checks passed:
lake exe mk_all --module --check.git diff --check.No Python code or infrastructure changed. The full repository is intentionally left to CI as the final authority. Greptile’s first review found two API/maintenance concerns; both were repaired (finite-witness implementability and shared components/proof reuse). Configured Greptile/GPT reviews and the separate complete source/diff/declaration review will be checked for this repaired head before normal protected merge. The native-queue/split-registry migration branches are untouched; this PR follows the current main layout while that migration is pending.