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{
"review_kind": "Acquisition source-and-diff review, separate from the configured Greptile and five GPT rubric reviews",
"reviewed_commit": "093d66497678ee4075dc14bc6caa5f40bbca19dc",
"conclusion": "approve",
"scope": "All 37 changed files: 36 Lean modules (26,461 physical lines) and one YAML card. Inspected module/dependency boundaries, declaration inventories, critical definitions, all five advertised endpoint proofs, and representative implementation slices in bounded chunks. Compared both pinned upstream trees and the port/optimization diffs. No source file was omitted because of size.",
"faithfulness": {
"verdict": "pass",
"evidence": "Theorem 1.1 matches Order.intro_infty: arbitrary real Banach spaces and an actual bounded linear T, with order continuity iff T=0 or bounded below. Theorem 1.3 matches Extension.intro_poe with the explicit finite-exponent hypothesis. HasPOE quantifies a single uniform constant over extensions of every operator from the closed range into every finite Mathlib PiLp target; it does not assume the conclusion. Parameters.cross_parameter_inclusion lists the paper's eight conditions in order and proves their TFAE. cross_parameter_above_two allows q=infinity and characterizes finite dimension for q>2. cross_parameter_hilbert uses Mathlib lp over the naturals at exponent two. Free is a concrete closed lattice generated by dual evaluations with the p-family norm; its universal property and the finite-target extension estimate are proved. The order-continuity predicate quantifies directed nets, with the sequence reduction proved separately. Zero, empty finite-family and infinity cases were checked in the supporting constructions."
},
"novelty": {
"verdict": "pass",
"already_formalized": "",
"evidence": "No matching project card, source path, open/merged PR, issue or repository-history import was found for this upstream. Searches of the pinned Mathlib and TauCeti module paths and relevant free-Banach-lattice/order-continuity vocabulary found no matching headline declarations; this is bounded corpus evidence, not a claim of exhaustive semantic novelty. Existing OrderClosures supplies BanLat order/norm infrastructure and is reused, while the free-p model, support witnesses and classification theorems are additions."
},
"significance": {
"verdict": "pass",
"evidence": "A completed research-level classification of induced maps on free p-convex Banach lattices, including the change-of-exponent obstruction and Hilbert example. The concrete free-lattice model, uniform operator-extension machinery, support witnesses, duality, quotient and functional calculus provide reusable infrastructure beyond a single theorem. This is a coherent completed project outside Mathlib's present coverage, rather than an open challenge or a thin restatement."
},
"sources": {
"verdict": "pass",
"evidence": "Verified actual Apache-2.0 LICENSE files at FBLOrderContinuousLH ee3cde5070125ff2356b7144ff7a940a8dff2a54 and BanLat 33c4b73fce845c4295614326193d4e52111be762. The substantive completed-source commit 167b82ad69724d2ddb2a701fc932e52d445faecc has author and committer timestamp 2026-10-30T22:05:46Z. The paper arXiv:2611.00451, submitted 2026-10-30T23:06:06Z, contains the advertised results and links to the formalization. Submission time is not being substituted for first public release. Copyright, BanLat attribution and the paper's AI declaration are preserved; AI provenance is explicit."
},
"quality": {
"verdict": "pass",
"code_quality": 3,
"evidence": "The closure reuses 17 existing BanLat modules instead of duplicating the core. Only ten main modules, 21 additional BanLat modules and three focused interface restorations are added. The port repairs subtype-instance diamonds, unused assumptions and API documentation, removes all six heartbeat overrides, and preserves public theorem strength. Optimization separates proof fields from computational data, reuses dense-core extension/evaluation APIs and the scaled-family bound, and separates Hilbert/Euclidean dependency branches. No waiver, gate change or theorem weakening was used. Model remains the largest compilation unit; measured build results are recorded separately below."
},
"trust": "Warning-as-error project build, all 15 declaration linters (36 modules / 2,739 declarations), style, generated-index checks, whole-repository static quality, card/declaration checks, compiled axiom closure and the option-backdoor audit pass on this exact source. Only Classical.choice, propext and Quot.sound are permitted. No Python source is changed.",
"findings": [],
"merge_condition": "This review does not bypass required CI, configured automated review findings or the native protected merge queue. The final measured timing comparison and exact-head CI/review outcomes must be recorded before queue entry."
}
|
Advisory cross-file review against Lean Pool's supervisory rubric. This is not by itself a significance, source-verification, or merge verdict. [Low impact] No blocking defect was established in the follow-up, but this is not a full merge clearance because external source and prior-art checks remain unverified. SummaryImports the free Banach lattice formalization and its supporting BanLat modules.
Reviews (7) · Last reviewed commit: "Share induced maps and dual finite latti..." · Reviewed by Greptile |
![greptile-apps[bot]](https://avatars.githubusercontent.com/in/867647?s=60&v=4){kind=small}
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{
"review_kind": "Acquisition source-and-diff review, separate from the configured Greptile and five GPT rubric reviews",
"reviewed_commit": "8fbd1b562fa02354ba6022021d413b485b9331b3",
"conclusion": "approve",
"scope": "All 37 changed files: 36 Lean modules (26,397 physical lines) and one YAML card. Inspected module/dependency boundaries, declaration inventories, critical definitions, all five advertised endpoint proofs, and representative implementation slices in bounded chunks. Compared both pinned upstream trees and the port/optimization diffs. No source file was omitted because of size.",
"faithfulness": {
"verdict": "pass",
"evidence": "Theorem 1.1 matches Order.intro_infty: arbitrary real Banach spaces and an actual bounded linear T, with order continuity iff T=0 or bounded below. Theorem 1.3 matches Extension.intro_poe with the explicit finite-exponent hypothesis. HasPOE quantifies a single uniform constant over extensions of every operator from the closed range into every finite Mathlib PiLp target; it does not assume the conclusion. Parameters.cross_parameter_inclusion lists the paper's eight conditions in order and proves their TFAE. cross_parameter_above_two allows q=infinity and characterizes finite dimension for q>2. cross_parameter_hilbert uses Mathlib lp over the naturals at exponent two. Free is a concrete closed lattice generated by dual evaluations with the p-family norm; its universal property and the finite-target extension estimate are proved. The order-continuity predicate quantifies directed nets, with the sequence reduction proved separately. Zero, empty finite-family and infinity cases were checked in the supporting constructions."
},
"novelty": {
"verdict": "pass",
"already_formalized": "",
"evidence": "No matching project card, source path, open/merged PR, issue or repository-history import was found for this upstream. Searches of the pinned Mathlib and TauCeti module paths and relevant free-Banach-lattice/order-continuity vocabulary found no matching headline declarations; this is bounded corpus evidence, not a claim of exhaustive semantic novelty. Existing OrderClosures supplies BanLat order/norm infrastructure and is reused, while the free-p model, support witnesses and classification theorems are additions."
},
"significance": {
"verdict": "pass",
"evidence": "A completed research-level classification of induced maps on free p-convex Banach lattices, including the change-of-exponent obstruction and Hilbert example. The concrete free-lattice model, uniform operator-extension machinery, support witnesses, duality, quotient and functional calculus provide reusable infrastructure beyond a single theorem. This is a coherent completed project outside Mathlib's present coverage, rather than an open challenge or a thin restatement."
},
"sources": {
"verdict": "pass",
"evidence": "Verified actual Apache-2.0 LICENSE files at FBLOrderContinuousLH ee3cde5070125ff2356b7144ff7a940a8dff2a54 and BanLat 33c4b73fce845c4295614326193d4e52111be762. The substantive completed-source commit 167b82ad69724d2ddb2a701fc932e52d445faecc has author and committer timestamp 2026-10-30T22:05:46Z. The paper arXiv:2611.00451, submitted 2026-10-30T23:06:06Z, contains the advertised results and links to the formalization. Submission time is not being substituted for first public release. Copyright, BanLat attribution and the paper's AI declaration are preserved; AI provenance is explicit."
},
"quality": {
"verdict": "pass",
"code_quality": 3,
"evidence": "The closure reuses 17 existing BanLat modules instead of duplicating the core. Only ten main modules, 21 additional BanLat modules and three focused interface restorations are added. The port repairs subtype-instance diamonds, unused assumptions and API documentation, removes all six heartbeat overrides, and preserves public theorem strength. Optimization separates proof fields from computational data, reuses dense-core extension/evaluation APIs and the scaled-family bound, and separates Hilbert/Euclidean dependency branches. No waiver, gate change or theorem weakening was used. Model remains the largest compilation unit; measured build results are recorded separately below. The final follow-up derives the infinity endpoint API from general inclusion, removes the duplication Greptile identified, and proves finite-target bounds over arbitrary free elements before specialization."
},
"trust": "Warning-as-error project build, all 15 declaration linters (36 modules / 2,737 declarations), style, generated-index checks, whole-repository static quality, card/declaration checks, compiled axiom closure and the option-backdoor audit pass on this exact source. Only Classical.choice, propext and Quot.sound are permitted. No Python source is changed.",
"findings": [],
"merge_condition": "All local gates pass at the reviewed source, and Greptile has no remaining blocking code finding. Required exact-head CI and configured GPT rubric reviews remain pending. This approve conclusion does not bypass them or the native protected merge queue.",
"measurements": {
"baseline_commit": "9d41e1cda1cdf7e06a2d51c4c1be021acdeae7db",
"baseline_wall_seconds": 519.1714621251449,
"final_wall_seconds": 480.1266839997843,
"baseline_model_seconds": 160,
"final_model_seconds": 112,
"command": "taskset -c 0,1,2,3 lake build LeanPool.FBLOrderContinuity.Imports",
"conditions": "All 36 owned Lean modules and their own build artifacts removed; pinned Mathlib and 17 shared BanLat module dependencies warm. Four-CPU affinity on a shared VM; no exclusive CPU reservation or OS cache flush.",
"caveat": "Single observations on a shared VM; unchanged modules varied. No diagnostic timeout total is counted as a successful benchmark."
}
}
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Independent source review of exact head 8fbd1b562fa02354ba6022021d413b485b9331b3: source acceptable; integration checks and owner readiness remain separate.
- Faithfulness: pass. The concrete free-lattice model and its proved universal property support the five advertised paper results: the infinity criterion, the finite-exponent POE criterion, the eight change-of-exponent conditions, the obstruction above two, and the Hilbert example. The optimization preserves the actual operator spaces, uniform extension quantifiers and endpoint cases; it reuses proved norm bounds and bounded extensions.
- Novelty: pass within the recorded bounded Mathlib, Tau Ceti and pool search. The inspected ambient order-continuity and positive-functional results do not supply these induced-map classifications. This is not a universal absence claim.
- Significance: pass for a completed research-level classification with reusable free-lattice, extension, support, quotient and duality infrastructure.
- Sources: pass against the paper, the pinned FBLOrderContinuousLH source
ee3cde5, and BanLat33c4b73. Both Lean sources have explicit Apache-2.0 grants; attribution and the declared AI provenance are retained. - Quality: advisory 3, acceptable. The module graph is connected and reuses existing OrderClosures/BanLat interfaces. One optional cleanup remains:
ParameterWitness.freeEvalCLMcan forward to the existingSupport.freeEvaluationCLM, preserving both public names and avoiding a second implementation of evaluation.
Scope: all 37 Git-bound source bodies and the project card, the native integration/inverse check against current main, independent reviews under the five rubrics, and the complete final one-file optimization delta with its definitions, hypotheses, callers and critical proofs. This does not claim that every unchanged proof line was reread.
This source verdict gives no compiled or performance credit. Exact-head protected CI, the configured current-head review and the owner's readiness remain independent requirements. The author has recorded a final clean comparison; I have not reproduced the private compiled or performance claims. No queue or auto-merge request has been made.
|
/review Please run the configured five-rubric review for exact current head |
|
/review |
|
Validation checkpoint for |
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: 3,340,982 maxHeartbeats units across 28 valid files (26,136 added LOC). Sum of Count-heartbeats wall-clock total: 613.11 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.FBLOrderContinuity.Model |
91.00 s |
LeanPool.FBLOrderContinuity.Order |
55.00 s |
LeanPool.FBLOrderContinuity.Extension |
47.00 s |
LeanPool.FBLOrderContinuity.Support |
46.00 s |
LeanPool.FBLOrderContinuity.BanLat.Free.FBL |
28.00 s |
LeanPool.FBLOrderContinuity.Parameters |
28.00 s |
LeanPool.FBLOrderContinuity.ParameterWitness |
24.00 s |
LeanPool.FBLOrderContinuity.HilbertComparison |
23.00 s |
LeanPool.FBLOrderContinuity.LpExtension |
21.00 s |
LeanPool.FBLOrderContinuity.BanLat.Free.FVLv |
20.00 s |
LeanPool.FBLOrderContinuity.EuclideanFamilies |
20.00 s |
LeanPool.FBLOrderContinuity.BanLat.Substructures.Band.Lattice |
17.00 s |
Comment truncated to fit GitHub's 64 KB limit. This PR profiles 36 files; the per-file table shows only the 36 hottest by heartbeats. The full table and raw
lean --profileoutput for every file are in the run's step summary andproof-profileartifact.
Advisory only — never blocks merge.
|
Follow-up checkpoint |
|
/review |
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{
"review_kind": "Acquisition source-and-diff review, separate from the configured Greptile and five GPT rubric reviews",
"reviewed_commit": "6911352bc270a7c58e0a9fa970963361a15a2812",
"conclusion": "approve",
"scope": "All 37 changed files: 36 Lean modules (26,399 physical lines) and one YAML card. Inspected module/dependency boundaries, declaration inventories, critical definitions, all five advertised endpoint proofs, and representative implementation slices in bounded chunks. Compared both pinned upstream trees and the port/optimization diffs. No source file was omitted because of size.",
"faithfulness": {
"verdict": "pass",
"evidence": "Theorem 1.1 matches Order.intro_infty: arbitrary real Banach spaces and an actual bounded linear T, with order continuity iff T=0 or bounded below. Theorem 1.3 matches Extension.intro_poe with the explicit finite-exponent hypothesis. HasPOE quantifies a single uniform constant over extensions of every operator from the closed range into every finite Mathlib PiLp target; it does not assume the conclusion. Parameters.cross_parameter_inclusion lists the paper's eight conditions in order and proves their TFAE. cross_parameter_above_two allows q=infinity and characterizes finite dimension for q>2. cross_parameter_hilbert uses Mathlib lp over the naturals at exponent two. Free is a concrete closed lattice generated by dual evaluations with the p-family norm; its universal property and the finite-target extension estimate are proved. The order-continuity predicate quantifies directed nets, with the sequence reduction proved separately. Zero, empty finite-family and infinity cases were checked in the supporting constructions."
},
"novelty": {
"verdict": "pass",
"already_formalized": "",
"evidence": "No matching project card, source path, open/merged PR, issue or repository-history import was found for this upstream. Searches of the pinned Mathlib and TauCeti module paths and relevant free-Banach-lattice/order-continuity vocabulary found no matching headline declarations; this is bounded corpus evidence, not a claim of exhaustive semantic novelty. Existing OrderClosures supplies BanLat order/norm infrastructure and is reused, while the free-p model, support witnesses and classification theorems are additions."
},
"significance": {
"verdict": "pass",
"evidence": "A completed research-level classification of induced maps on free p-convex Banach lattices, including the change-of-exponent obstruction and Hilbert example. The concrete free-lattice model, uniform operator-extension machinery, support witnesses, duality, quotient and functional calculus provide reusable infrastructure beyond a single theorem. This is a coherent completed project outside Mathlib's present coverage, rather than an open challenge or a thin restatement."
},
"sources": {
"verdict": "pass",
"evidence": "Verified actual Apache-2.0 LICENSE files at FBLOrderContinuousLH ee3cde5070125ff2356b7144ff7a940a8dff2a54 and BanLat 33c4b73fce845c4295614326193d4e52111be762. The substantive completed-source commit 167b82ad69724d2ddb2a701fc932e52d445faecc has author and committer timestamp 2026-10-30T22:05:46Z. The paper arXiv:2611.00451, submitted 2026-10-30T23:06:06Z, contains the advertised results and links to the formalization. Submission time is not being substituted for first public release. Copyright, BanLat attribution and the paper's AI declaration are preserved; AI provenance is explicit."
},
"quality": {
"verdict": "pass",
"code_quality": 3,
"evidence": "The closure reuses 17 existing BanLat modules instead of duplicating the core. Only ten main modules, 21 additional BanLat modules and three focused interface restorations are added. The port repairs subtype-instance diamonds, unused assumptions and API documentation, removes all six heartbeat overrides, and preserves public theorem strength. Optimization separates proof fields from computational data, reuses dense-core extension/evaluation APIs and the scaled-family bound, and separates Hilbert/Euclidean dependency branches. No waiver, gate change or theorem weakening was used. Model remains the largest compilation unit; measured build results are recorded separately below. The final follow-up derives the infinity endpoint API from general inclusion, removes the duplication Greptile identified, and proves finite-target bounds over arbitrary free elements before specialization. The final two-proof follow-up supplies explicit function and domain/codomain arguments after CI bare profiling exposed fragile inference. Both full bare profiles now pass without setup files or option overrides; all mathematical statements and hypotheses remain unchanged."
},
"trust": "Warning-as-error project build, all 15 declaration linters (36 modules / 2,737 declarations), style, generated-index checks, whole-repository static quality, card/declaration checks, compiled axiom closure and the option-backdoor audit pass on this exact source. Only Classical.choice, propext and Quot.sound are permitted. No Python source is changed.",
"findings": [],
"merge_condition": "All local gates and the final controlled clean build pass at this exact source. Required current-head hosted CI and configured GPT reviews must complete before protected native queue entry. Previous 8fbd green CI and reviews remain historical checkpoints, not substitutes for current-head evidence.",
"measurements": {
"baseline_commit": "9d41e1cda1cdf7e06a2d51c4c1be021acdeae7db",
"baseline_wall_seconds": 519.1714621251449,
"final_wall_seconds": 464.7362500783056,
"baseline_model_seconds": 160,
"final_model_seconds": 106,
"command": "taskset -c 0,1,2,3 lake build LeanPool.FBLOrderContinuity.Imports",
"conditions": "All 36 owned Lean modules and their own build artifacts removed; pinned Mathlib and 17 shared BanLat module dependencies warm. Four-CPU affinity on a shared VM; no exclusive CPU reservation or OS cache flush.",
"caveat": "Single observations on a shared VM; unchanged modules varied. No diagnostic timeout total is counted as a successful benchmark.",
"final_child_user_seconds": 645.86654,
"final_max_child_rss_kib": 1921416
},
"profile_followup": {
"normal_bare_model": "exit 0; 92.99692487437278 s",
"normal_bare_extension": "exit 0; 68.25900894682854 s",
"synchronous_counter": "Additional instrumented mode; prior incomplete totals are not represented as complete project counts. It is advisory, and no profiling script or gate was modified."
}
}
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Independent source review of exact head 6911352bc270a7c58e0a9fa970963361a15a2812: source acceptable; configured review and owner conditions remain pending.
Both changes preserve the existing mathematics. exists_algebraic_lift_extension names the already intended spaces FVLv E, Free p E and the quantified target X; it passes the same dense map, algebraic lift and norm bound to the same extension theorem. bidual_poe_one names the actual canonical bidual inclusion T when applying its existing isometry proof. No statement, hypothesis, computational definition or ambient instance changes.
The complete 37-file source/native comparison finds these two proof changes and 35 identical files. All five headline programs and the card remain unchanged. The earlier independent paper, provenance, licensing, bounded novelty and significance reviews therefore remain applicable after this exact reconciliation. Current faithfulness passes; quality remains advisory 3, with the previously noted optional evaluation-map forwarding cleanup.
Source coverage retains the earlier bounded mathematical reading and adds both complete changed proofs, their providers and actual consumers; it does not claim every unchanged proof line was reread. Separately, current-head CI is qualified at its actual merge revision: all 36 files built fresh, maximum 54 seconds, strict 600-second limit passed, and all eight protected contexts passed or were correctly inapplicable. Private local performance claims were not reproduced.
The existing current-head /review request is retained. No queue or auto-merge request is made while the configured review and the author's stated conditions remain outstanding.
🤖 LLM review (
|
| Rubric | Verdict | Bottom line |
|---|---|---|
| Faithfulness | ✅ pass |
All five card headlines match the Lean statements and concrete constructions. |
| Novelty | ✅ pass |
No duplicate of the five headlines was identified in the checked declarations; the broader semantic comparison against Tau Ceti remains unverifiable. |
| Significance | ✅ pass |
The order-continuity classifications and supporting Banach-lattice constructions constitute a completed research-level theory-building project. |
| Sources | ✅ pass |
All five card references match the cited manuscript with the stated hypotheses, and the upstream formalization and BanLat are explicitly credited. |
| Code quality (advisory) | ✅ pass |
The Lean is maintainable overall, with shared operator constructions and order-duality proofs avoiding material duplication. |
| Aspect | Value |
|---|---|
| Proves the claim | ✅ proves_it |
| Assumed, not proved | Real Banach-space structures and the stated exponent restrictions are disclosed by the card; the free objects, universal property, and extension criteria are proved. Review was source-based: an optional elaborated-signature check was unavailable because dependency fetching returned HTTP 403. |
| Matches cited source | ✅ matches |
| Fit | ✅ good_fit |
| Level | research |
| Branch | functional analysis |
| Mode | theory_building |
| Code quality | 3 / 5 |
Statement check: The Lean proves both induced-map classifications, all eight inclusion equivalences, the finite-dimensional criterion above two, and the claimed Hilbert sequence-space isomorphisms.
The Lean characterizes order continuity through operator-extension properties and establishes eight change-of-exponent equivalences, a finite-dimensional obstruction above two, and a contrasting Hilbert-space case up to two.
Tokens: 19,152,056 in / 53,760 out across 5 model calls · Tier: codex-subscription · Effort: xhigh · Billing: Codex subscription quota (no API credits) · Estimated cost: $77.4146 (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.
|
Addressed the two code-quality notes in the review at |
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{
"review_kind": "Acquisition source-and-diff review, separate from the configured Greptile and five GPT rubric reviews",
"reviewed_commit": "37600760248f5fcdc73eb2b03fae81e9f34f9591",
"conclusion": "approve",
"scope": "All 37 changed files: 36 Lean modules (26,353 physical lines) and one YAML card. Inspected module/dependency boundaries, declaration inventories, critical definitions, all five advertised endpoint proofs, and representative implementation slices in bounded chunks. Compared both pinned upstream trees and the port/optimization diffs. No source file was omitted because of size.",
"faithfulness": {
"verdict": "pass",
"evidence": "Theorem 1.1 matches Order.intro_infty: arbitrary real Banach spaces and an actual bounded linear T, with order continuity iff T=0 or bounded below. Theorem 1.3 matches Extension.intro_poe with the explicit finite-exponent hypothesis. HasPOE quantifies a single uniform constant over extensions of every operator from the closed range into every finite Mathlib PiLp target; it does not assume the conclusion. Parameters.cross_parameter_inclusion lists the paper's eight conditions in order and proves their TFAE. cross_parameter_above_two allows q=infinity and characterizes finite dimension for q>2. cross_parameter_hilbert uses Mathlib lp over the naturals at exponent two. Free is a concrete closed lattice generated by dual evaluations with the p-family norm; its universal property and the finite-target extension estimate are proved. The order-continuity predicate quantifies directed nets, with the sequence reduction proved separately. Zero, empty finite-family and infinity cases were checked in the supporting constructions."
},
"novelty": {
"verdict": "pass",
"already_formalized": "",
"evidence": "No matching project card, source path, open/merged PR, issue or repository-history import was found for this upstream. Searches of the pinned Mathlib and TauCeti module paths and relevant free-Banach-lattice/order-continuity vocabulary found no matching headline declarations; this is bounded corpus evidence, not a claim of exhaustive semantic novelty. Existing OrderClosures supplies BanLat order/norm infrastructure and is reused, while the free-p model, support witnesses and classification theorems are additions."
},
"significance": {
"verdict": "pass",
"evidence": "A completed research-level classification of induced maps on free p-convex Banach lattices, including the change-of-exponent obstruction and Hilbert example. The concrete free-lattice model, uniform operator-extension machinery, support witnesses, duality, quotient and functional calculus provide reusable infrastructure beyond a single theorem. This is a coherent completed project outside Mathlib's present coverage, rather than an open challenge or a thin restatement."
},
"sources": {
"verdict": "pass",
"evidence": "Verified actual Apache-2.0 LICENSE files at FBLOrderContinuousLH ee3cde5070125ff2356b7144ff7a940a8dff2a54 and BanLat 33c4b73fce845c4295614326193d4e52111be762. The substantive completed-source commit 167b82ad69724d2ddb2a701fc932e52d445faecc has author and committer timestamp 2026-10-30T22:05:46Z. The paper arXiv:2611.00451, submitted 2026-10-30T23:06:06Z, contains the advertised results and links to the formalization. Submission time is not being substituted for first public release. Copyright, BanLat attribution and the paper's AI declaration are preserved; AI provenance is explicit."
},
"quality": {
"verdict": "pass",
"code_quality": 3,
"evidence": "The closure reuses 17 existing BanLat modules instead of duplicating the core. Only ten main modules, 21 additional BanLat modules and three focused interface restorations are added. The port repairs subtype-instance diamonds, unused assumptions and API documentation, removes all six heartbeat overrides, and preserves public theorem strength. Optimization separates proof fields from computational data, reuses dense-core extension/evaluation APIs and the scaled-family bound, and separates Hilbert/Euclidean dependency branches. No waiver, gate change or theorem weakening was used. Model remains the largest compilation unit; measured build results are recorded separately below. The final follow-up derives the infinity endpoint API from general inclusion, removes the duplication Greptile identified, and proves finite-target bounds over arbitrary free elements before specialization. The final two-proof follow-up supplies explicit function and domain/codomain arguments after CI bare profiling exposed fragile inference. Both full bare profiles now pass without setup files or option overrides; all mathematical statements and hypotheses remain unchanged. The imported FBL evaluation and functional-calculus lemmas now replace duplicate private proofs. support is a compatibility name for the shared compactSupport definition; scaling, positive homogeneity and weak-star continuity are proved once in Order and reused. Existing public names, types and hypotheses are preserved."
},
"trust": "Warning-as-error project build, all 15 declaration linters (36 modules / 2,734 declarations), style, generated-index checks, whole-repository static quality, card/declaration checks, compiled axiom closure and the option-backdoor audit pass on this exact source. Only Classical.choice, propext and Quot.sound are permitted. No Python source is changed.",
"findings": [],
"merge_condition": "All local gates and final clean measurement pass at this source. Current-head hosted checks and configured GPT review must complete before protected native queue entry. Historical review and CI checkpoints are not substitutes for final-head evidence.",
"measurements": {
"baseline_commit": "9d41e1cda1cdf7e06a2d51c4c1be021acdeae7db",
"baseline_wall_seconds": 519.1714621251449,
"final_wall_seconds": 483.27998602297157,
"baseline_model_seconds": 160,
"final_model_seconds": 105,
"command": "taskset -c 0,1,2,3 lake build LeanPool.FBLOrderContinuity.Imports",
"conditions": "All 36 owned Lean modules and their own build artifacts removed; pinned Mathlib and 17 shared BanLat module dependencies warm. Four-CPU affinity on a shared VM; no exclusive CPU reservation or OS cache flush.",
"caveat": "Single observations on a shared VM; unchanged modules varied. No diagnostic timeout total is counted as a successful benchmark.",
"final_child_user_seconds": 645.812609,
"final_max_child_rss_kib": 1919224
},
"profile_followup": {
"bare_profiles": "All five changed modules (Model, Order, Support, Extension, ParameterWitness) passed full lean --profile without setup files or option overrides. These concurrent diagnostic timings are excluded from the clean-project comparison.",
"synchronous_counter": "Instrumented synchronous counts are advisory; incomplete totals are not treated as full project counts."
},
"reviewer": "Codex acquisition agent, separate source/diff review pass",
"resolved_review_notes": [
"Prior-approval assertions removed from contributor-controlled brief/checkpoint; independent formal reviews and factual exact-head evidence retained",
"Both duplicate-proof sites reuse imported lemmas with the same universe generality",
"Support definitions and compact-set endpoint continuity unified without narrowing any domain"
]
}
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Independent follow-up on exact head 37600760248f5fcdc73eb2b03fae81e9f34f9591: source acceptable; current-head validation and configured review remain separate.
The five-file revision consolidates the actual support function without changing its value: support A φ now forwards to compactSupport A φ, whose real conditional-supremum formula is unchanged. The shared scaling theorem covers the same arbitrary sets and real scalars, and the compact endpoint argument uses the existing homogeneous and weak-star-continuity facts. The necessary unfold changes in Extension and ParameterWitness preserve their existing arguments.
Model now reuses the actual project-local BanLat FBL.ofFVLv_apply and PosHomFunction.functionalCalculus_map theorems. Their statements, universes and typeclass requirements support the two removed private proofs and every affected caller. The advertised classification statements and hypotheses are preserved.
The complete current 37-file source/native reconciliation preserves the other 32 files, card and five headline programs. It adds direct review of all five complete changed files, the shared facts and their actual consumers. Faithfulness, bounded novelty, significance and sources/licensing pass; quality remains advisory 3. The earlier optional evaluation-map consolidation remains a maintenance opportunity. This scope does not claim that every unchanged proof line was reread or that private measurements were reproduced.
The final queue guard correctly stopped before invoking a merge when this head replaced 6911352b. Source229, CI135 and configured review2487 remain historical evidence for that previous head. They give this revision no hosted-CI or configured-review credit. Integration requires its own applicable checks and review plus a fresh protected-queue preflight; no queue or auto-merge request has been made.
|
/review |
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Independent source review of exact head ddfe70afba612f74f0494f3bc4b996e019f2c190: source acceptable; current-head CI, configured review and owner readiness remain pending.
The primed Cauchy estimate now follows from the existing unprimed estimate using subtraction reversal and freeNormExt_neg. It retains the same hypotheses and conclusion. The general dual-extension isometry theorem moves from Extension to Order with its complete type and proof preserved, apart from removing private; its source and target universes remain independent. The ideal and bidual cases supply their actual contraction and dual-extension data to that shared proof, including the finite and infinity exponent cases.
The complete 37-file source/native reconciliation finds these three changed files and 34 identical files, including the card. All 698 prior public theorem/lemma headers, 409 retained nonproof blocks, ten data interfaces and five headline contracts are unchanged. The prior paper, provenance, licensing, bounded novelty and significance findings remain applicable after this comparison. Faithfulness passes; code quality passes at advisory 3, with both configured duplication notes addressed.
Coverage adds all three complete changed files, the removed and moved proofs, their providers and actual consumers to the earlier bounded mathematical review. It does not claim a fresh line-by-line reading of every unchanged proof or verification of private build and performance measurements.
The previous head's source review, CI136 and configured review2489 remain historical. This revision needs its own applicable protected checks and configured review. The latest public CI observation still has repository quality checks running; no queue or auto-merge request has been made.
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{
"review_kind": "Acquisition source-and-diff review, separate from the configured Greptile and five GPT rubric reviews",
"reviewed_commit": "ddfe70afba612f74f0494f3bc4b996e019f2c190",
"conclusion": "approve",
"scope": "All 37 changed files: 36 Lean modules (26,307 physical lines) and one YAML card. Inspected module/dependency boundaries, declaration inventories, critical definitions, all five advertised endpoint proofs, and representative implementation slices in bounded chunks. Compared both pinned upstream trees and the port/optimization diffs. No source file was omitted because of size.",
"faithfulness": {
"verdict": "pass",
"evidence": "Theorem 1.1 matches Order.intro_infty: arbitrary real Banach spaces and an actual bounded linear T, with order continuity iff T=0 or bounded below. Theorem 1.3 matches Extension.intro_poe with the explicit finite-exponent hypothesis. HasPOE quantifies a single uniform constant over extensions of every operator from the closed range into every finite Mathlib PiLp target; it does not assume the conclusion. Parameters.cross_parameter_inclusion lists the paper's eight conditions in order and proves their TFAE. cross_parameter_above_two allows q=infinity and characterizes finite dimension for q>2. cross_parameter_hilbert uses Mathlib lp over the naturals at exponent two. Free is a concrete closed lattice generated by dual evaluations with the p-family norm; its universal property and the finite-target extension estimate are proved. The order-continuity predicate quantifies directed nets, with the sequence reduction proved separately. Zero, empty finite-family and infinity cases were checked in the supporting constructions."
},
"novelty": {
"verdict": "pass",
"already_formalized": "",
"evidence": "No matching project card, source path, open/merged PR, issue or repository-history import was found for this upstream. Searches of the pinned Mathlib and TauCeti module paths and relevant free-Banach-lattice/order-continuity vocabulary found no matching headline declarations; this is bounded corpus evidence, not a claim of exhaustive semantic novelty. Existing OrderClosures supplies BanLat order/norm infrastructure and is reused, while the free-p model, support witnesses and classification theorems are additions. Public live Mathlib/TauCeti code searches returned no matches for the upstream name, paper identifier or distinctive endpoint. The non-truncated TauCeti tree 62bbc0596dc3539d488232e4e924a338548ea0a9 had no matching project paths."
},
"significance": {
"verdict": "pass",
"evidence": "A completed research-level classification of induced maps on free p-convex Banach lattices, including the change-of-exponent obstruction and Hilbert example. The concrete free-lattice model, uniform operator-extension machinery, support witnesses, duality, quotient and functional calculus provide reusable infrastructure beyond a single theorem. This is a coherent completed project outside Mathlib's present coverage, rather than an open challenge or a thin restatement."
},
"sources": {
"verdict": "pass",
"evidence": "Verified actual Apache-2.0 LICENSE files at FBLOrderContinuousLH ee3cde5070125ff2356b7144ff7a940a8dff2a54 and BanLat 33c4b73fce845c4295614326193d4e52111be762. The substantive completed-source commit 167b82ad69724d2ddb2a701fc932e52d445faecc has author and committer timestamp 2026-10-30T22:05:46Z. The paper arXiv:2611.00451, submitted 2026-10-30T23:06:06Z, contains the advertised results and links to the formalization. Submission time is not being substituted for first public release. Copyright, BanLat attribution and the paper's AI declaration are preserved; AI provenance is explicit."
},
"quality": {
"verdict": "pass",
"code_quality": 3,
"evidence": "The closure reuses 17 existing BanLat modules instead of duplicating the core. Only ten main modules, 21 additional BanLat modules and three focused interface restorations are added. The port repairs subtype-instance diamonds, unused assumptions and API documentation, removes all six heartbeat overrides, and preserves public theorem strength. Optimization separates proof fields from computational data, reuses dense-core extension/evaluation APIs and the scaled-family bound, and separates Hilbert/Euclidean dependency branches. No waiver, gate change or theorem weakening was used. Model remains the largest compilation unit; measured build results are recorded separately below. The final follow-up derives the infinity endpoint API from general inclusion, removes the duplication Greptile identified, and proves finite-target bounds over arbitrary free elements before specialization. The final two-proof follow-up supplies explicit function and domain/codomain arguments after CI bare profiling exposed fragile inference. Both full bare profiles now pass without setup files or option overrides; all mathematical statements and hypotheses remain unchanged. The imported FBL evaluation and functional-calculus lemmas now replace duplicate private proofs. support is a compatibility name for the shared compactSupport definition; scaling, positive homogeneity and weak-star continuity are proved once in Order and reused. Existing public names, types and hypotheses are preserved. The final proof consolidation derives the reversed-subtraction Cauchy-limit estimate by negation, moves the general dual-extension isometry theorem into Order and specializes it for ideal inclusions. The bidual theorem reuses the same helper. I inspected the complete three-file diff and checked unchanged public types, the norm-reversal step, contractivity and isometric dual-extension hypotheses."
},
"trust": "Warning-as-error project build, all 15 declaration linters (36 modules / 2,734 declarations), style, generated-index checks, whole-repository static quality, card/declaration checks, compiled axiom closure and the option-backdoor audit pass on this exact source. Only Classical.choice, propext and Quot.sound are permitted. No Python source is changed.",
"findings": [],
"merge_condition": "Final-head local gates, controlled clean measurement and hosted protected checks all pass. Fresh configured GPT review must complete before protected native queue entry. No source/review finding remains in this separate source-and-diff review.",
"measurements": {
"baseline_commit": "9d41e1cda1cdf7e06a2d51c4c1be021acdeae7db",
"baseline_wall_seconds": 519.1714621251449,
"final_wall_seconds": 464.08278148341924,
"baseline_model_seconds": 160,
"final_model_seconds": 116.0,
"command": "taskset -c 0,1,2,3 lake build LeanPool.FBLOrderContinuity.Imports",
"conditions": "All 36 owned Lean modules and their own build artifacts removed; pinned Mathlib and 17 shared BanLat module dependencies warm. Four-CPU affinity on a shared VM; no exclusive CPU reservation or OS cache flush.",
"caveat": "Single observations on a shared VM; unchanged modules varied. No diagnostic timeout total is counted as a successful benchmark.",
"final_child_user_seconds": 628.039644,
"final_max_child_rss_kib": 1921876
},
"profile_followup": {
"bare_profiles": "All three final changed files (BanLat.Free.FBL, Order, Extension) passed bare lean --profile without setup files or option overrides; unchanged-file profiles from 376007 are preserved with hashes. Final diagnostic source hashes were verified against ddfe70a. These concurrent diagnostic timings are excluded from the clean-project comparison.",
"synchronous_counter": "Instrumented synchronous counts are advisory; incomplete totals are not treated as full project counts."
},
"reviewer": "Codex acquisition agent, separate source/diff review pass",
"resolved_review_notes": [
"Prior-approval assertions removed from contributor-controlled brief/checkpoint; independent formal reviews and factual exact-head evidence retained",
"Both duplicate-proof sites reuse imported lemmas with the same universe generality",
"Support definitions and compact-set endpoint continuity unified without narrowing any domain",
"Reversed-subtraction Cauchy-limit estimate reuses the existing estimate through negation",
"Ideal and bidual induced-isometry proofs share the general isometric dual-extension theorem"
],
"ci_evidence": {
"head": "ddfe70afba612f74f0494f3bc4b996e019f2c190",
"lean_action_ci": "success",
"workflow_url": "https://github.com/LeanPool/lean-pool/actions/runs/43466456628",
"required_contexts": "All eight present from the required Actions integration; success or correctly scoped skipped"
}
}
|
/review |
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Independent source review of exact head c412ce1b74a56a988a69633503c958b2515a4298: source acceptable; this head’s validation and owner readiness remain pending.
The two-file follow-up preserves the four public evaluation names and their explicit types while using the existing BanLat, Support and Mathlib maps. Each replacement has the same pointwise evaluation. I checked the actual pool-pinned Mathlib 56a00585 sources: PiLp.proj composes the coordinate projection with WithLp.linearEquiv, whose underlying function is ofLp. The specialization adds no completeness, nonempty-index or finite-exponent assumption. The continuous free-evaluation alias also retains the same function and hypotheses.
The local map in radialEval_eq_liftToFree now uses evalVecLatHom; both universal-property applications and the theorem statement remain intact. The complete 37-file source/native reconciliation finds two changed files and 35 identical files, including the card. The public theorem statements, ten data interfaces and five complete headline programs are preserved. Faithfulness, bounded novelty, significance and sources/licensing pass; quality passes at advisory 3. The previously noted evaluation-map duplication is addressed.
Coverage includes all changed written programs, their actual providers, universes, section assumptions and callers, with independent source reviews and a full saved-source replay. It does not claim a fresh reading of every unchanged proof line, a local compilation, or independent verification of private measurements.
The final queue guard stopped before invoking gh when this revision replaced ddfe70af. Source233, CI137 and configured review2492 remain historical for that previous head. Integration requires this head’s own applicable protected checks, configured review and the owner’s final validation/measurement checkpoint. No queue or auto-merge request has been made.
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{
"review_kind": "Acquisition source-and-diff review, separate from the configured Greptile and five GPT rubric reviews",
"reviewed_commit": "c412ce1b74a56a988a69633503c958b2515a4298",
"conclusion": "approve",
"scope": "All 37 changed files: 36 Lean modules (26,287 physical lines) and one YAML card. Inspected module/dependency boundaries, declaration inventories, critical definitions, all five advertised endpoint proofs, and representative implementation slices in bounded chunks. Compared both pinned upstream trees and the port/optimization diffs. No source file was omitted because of size.",
"faithfulness": {
"verdict": "pass",
"evidence": "Theorem 1.1 matches Order.intro_infty: arbitrary real Banach spaces and an actual bounded linear T, with order continuity iff T=0 or bounded below. Theorem 1.3 matches Extension.intro_poe with the explicit finite-exponent hypothesis. HasPOE quantifies a single uniform constant over extensions of every operator from the closed range into every finite Mathlib PiLp target; it does not assume the conclusion. Parameters.cross_parameter_inclusion lists the paper's eight conditions in order and proves their TFAE. cross_parameter_above_two allows q=infinity and characterizes finite dimension for q>2. cross_parameter_hilbert uses Mathlib lp over the naturals at exponent two. Free is a concrete closed lattice generated by dual evaluations with the p-family norm; its universal property and the finite-target extension estimate are proved. The order-continuity predicate quantifies directed nets, with the sequence reduction proved separately. Zero, empty finite-family and infinity cases were checked in the supporting constructions."
},
"novelty": {
"verdict": "pass",
"already_formalized": "",
"evidence": "No matching project card, source path, open/merged PR, issue or repository-history import was found for this upstream. Searches of the pinned Mathlib and TauCeti module paths and relevant free-Banach-lattice/order-continuity vocabulary found no matching headline declarations; this is bounded corpus evidence, not a claim of exhaustive semantic novelty. Existing OrderClosures supplies BanLat order/norm infrastructure and is reused, while the free-p model, support witnesses and classification theorems are additions. Public live Mathlib/TauCeti code searches returned no matches for the upstream name, paper identifier or distinctive endpoint. The non-truncated TauCeti tree 62bbc0596dc3539d488232e4e924a338548ea0a9 had no matching project paths."
},
"significance": {
"verdict": "pass",
"evidence": "A completed research-level classification of induced maps on free p-convex Banach lattices, including the change-of-exponent obstruction and Hilbert example. The concrete free-lattice model, uniform operator-extension machinery, support witnesses, duality, quotient and functional calculus provide reusable infrastructure beyond a single theorem. This is a coherent completed project outside Mathlib's present coverage, rather than an open challenge or a thin restatement."
},
"sources": {
"verdict": "pass",
"evidence": "Verified actual Apache-2.0 LICENSE files at FBLOrderContinuousLH ee3cde5070125ff2356b7144ff7a940a8dff2a54 and BanLat 33c4b73fce845c4295614326193d4e52111be762. The substantive completed-source commit 167b82ad69724d2ddb2a701fc932e52d445faecc has author and committer timestamp 2026-10-30T22:05:46Z. The paper arXiv:2611.00451, submitted 2026-10-30T23:06:06Z, contains the advertised results and links to the formalization. Submission time is not being substituted for first public release. Copyright, BanLat attribution and the paper's AI declaration are preserved; AI provenance is explicit."
},
"quality": {
"verdict": "pass",
"code_quality": 3,
"evidence": "The closure reuses 17 existing BanLat modules instead of duplicating the core. Only ten main modules, 21 additional BanLat modules and three focused interface restorations are added. The port repairs subtype-instance diamonds, unused assumptions and API documentation, removes all six heartbeat overrides, and preserves public theorem strength. Optimization separates proof fields from computational data, reuses dense-core extension/evaluation APIs and the scaled-family bound, and separates Hilbert/Euclidean dependency branches. No waiver, gate change or theorem weakening was used. Model remains the largest compilation unit; measured build results are recorded separately below. The final follow-up derives the infinity endpoint API from general inclusion, removes the duplication Greptile identified, and proves finite-target bounds over arbitrary free elements before specialization. The final two-proof follow-up supplies explicit function and domain/codomain arguments after CI bare profiling exposed fragile inference. Both full bare profiles now pass without setup files or option overrides; all mathematical statements and hypotheses remain unchanged. The imported FBL evaluation and functional-calculus lemmas now replace duplicate private proofs. support is a compatibility name for the shared compactSupport definition; scaling, positive homogeneity and weak-star continuity are proved once in Order and reused. Existing public names, types and hypotheses are preserved. The final proof consolidation derives the reversed-subtraction Cauchy-limit estimate by negation, moves the general dual-extension isometry theorem into Order and specializes it for ideal inclusions. The bidual theorem reuses the same helper. I inspected the complete three-file diff and checked unchanged public types, the norm-reversal step, contractivity and isometric dual-extension hypotheses. The evaluation follow-up aliases evalFVLv to FVLv.evalHom, banlatEval to FBL.evalAtFBL, and freeEvalCLM to Support.freeEvaluationCLM; PiLp evaluation reuses Mathlib PiLp.proj. I checked complete definitions and both consumers, plus the radial evaluation proof now using evalVecLatHom. Types and function values are definitionally preserved; ordinary build, bare profiles and all source/compiled gates pass."
},
"trust": "Warning-as-error project build, all 15 declaration linters (36 modules / 2,718 declarations), style, generated-index checks, whole-repository static quality, card/declaration checks, compiled axiom closure and the option-backdoor audit pass on this exact source. Only Classical.choice, propext and Quot.sound are permitted. No Python source is changed.",
"findings": [],
"merge_condition": "All final-head local gates, controlled performance checks and hosted required contexts pass. Fresh configured GPT review must complete before protected native queue entry. Separate source/diff review concludes approve with no unresolved finding.",
"measurements": {
"baseline_commit": "9d41e1cda1cdf7e06a2d51c4c1be021acdeae7db",
"baseline_wall_seconds": 519.1714621251449,
"final_wall_seconds": 591.2008639117703,
"baseline_model_seconds": 160,
"final_model_seconds": 130,
"command": "taskset -c 0,1,2,3 lake build LeanPool.FBLOrderContinuity.Imports",
"conditions": "All 36 owned Lean modules and their own build artifacts removed; pinned Mathlib and 17 shared BanLat module dependencies warm. Four-CPU affinity on a shared VM; no exclusive CPU reservation or OS cache flush.",
"caveat": "Single observations on a shared VM; unchanged modules varied. No diagnostic timeout total is counted as a successful benchmark.",
"final_child_user_seconds": 680.876584,
"final_max_child_rss_kib": 1920884,
"contemporary_baseline": {
"revision": "9d41e1cda1cdf7e06a2d51c4c1be021acdeae7db",
"wall_seconds": 593.0481085544452,
"child_user_seconds": 741.071999,
"model_seconds": 186
},
"interpretation": "Contemporary wall time is essentially neutral (593.048 baseline, 591.201 final), with 8.1% lower observed child CPU and Model 186 to 130 seconds. Initial baseline was 519.171 seconds; all staged observations are preserved. Shared-host load varied; no universal wall-speedup claim."
},
"profile_followup": {
"bare_profiles": "Both final changed modules, Model and ParameterWitness, pass bare lean --profile without setup files or option overrides. Earlier unchanged-file profiles remain preserved. A/B/A Model transparency tests did not establish a material benefit from definition aliases; transparent aliases were restored exactly, source manifests verified, and c412ce1 retained.",
"synchronous_counter": "Instrumented synchronous counts are advisory; incomplete totals are not treated as full project counts."
},
"reviewer": "Codex acquisition agent, separate source/diff review pass",
"resolved_review_notes": [
"Prior-approval assertions removed from contributor-controlled brief/checkpoint; independent formal reviews and factual exact-head evidence retained",
"Both duplicate-proof sites reuse imported lemmas with the same universe generality",
"Support definitions and compact-set endpoint continuity unified without narrowing any domain",
"Reversed-subtraction Cauchy-limit estimate reuses the existing estimate through negation",
"Ideal and bidual induced-isometry proofs share the general isometric dual-extension theorem",
"All three flagged public evaluation maps reuse existing APIs with compatibility aliases; Mathlib projection and local evaluation duplication also consolidated"
],
"ci_evidence": {
"head": "c412ce1b74a56a988a69633503c958b2515a4298",
"lean_action_ci": "success",
"workflow_url": "https://github.com/LeanPool/lean-pool/actions/runs/43478219120",
"required_contexts": "All eight present from the required Actions integration, success or correctly scoped skipped"
}
}
|
/review |
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{
"review_kind": "Acquisition source-and-diff review, separate from the configured Greptile and five GPT rubric reviews",
"reviewed_commit": "cb96c503b407ad672f40d2014413ba90469c3bde",
"conclusion": "approve",
"scope": "All 37 changed files: 36 Lean modules (26,136 physical lines) and one YAML card. Inspected module/dependency boundaries, declaration inventories, critical definitions, all five advertised endpoint proofs, and representative implementation slices in bounded chunks. Compared both pinned upstream trees and the port/optimization diffs. No source file was omitted because of size.",
"faithfulness": {
"verdict": "pass",
"evidence": "Theorem 1.1 matches Order.intro_infty: arbitrary real Banach spaces and an actual bounded linear T, with order continuity iff T=0 or bounded below. Theorem 1.3 matches Extension.intro_poe with the explicit finite-exponent hypothesis. HasPOE quantifies a single uniform constant over extensions of every operator from the closed range into every finite Mathlib PiLp target; it does not assume the conclusion. Parameters.cross_parameter_inclusion lists the paper's eight conditions in order and proves their TFAE. cross_parameter_above_two allows q=infinity and characterizes finite dimension for q>2. cross_parameter_hilbert uses Mathlib lp over the naturals at exponent two. Free is a concrete closed lattice generated by dual evaluations with the p-family norm; its universal property and the finite-target extension estimate are proved. The order-continuity predicate quantifies directed nets, with the sequence reduction proved separately. Zero, empty finite-family and infinity cases were checked in the supporting constructions."
},
"novelty": {
"verdict": "pass",
"already_formalized": "",
"evidence": "No matching project card, source path, open/merged PR, issue or repository-history import was found for this upstream. Searches of the pinned Mathlib and TauCeti module paths and relevant free-Banach-lattice/order-continuity vocabulary found no matching headline declarations; this is bounded corpus evidence, not a claim of exhaustive semantic novelty. Existing OrderClosures supplies BanLat order/norm infrastructure and is reused, while the free-p model, support witnesses and classification theorems are additions. Public live Mathlib/TauCeti code searches returned no matches for the upstream name, paper identifier or distinctive endpoint. The non-truncated TauCeti tree 62bbc0596dc3539d488232e4e924a338548ea0a9 had no matching project paths."
},
"significance": {
"verdict": "pass",
"evidence": "A completed research-level classification of induced maps on free p-convex Banach lattices, including the change-of-exponent obstruction and Hilbert example. The concrete free-lattice model, uniform operator-extension machinery, support witnesses, duality, quotient and functional calculus provide reusable infrastructure beyond a single theorem. This is a coherent completed project outside Mathlib's present coverage, rather than an open challenge or a thin restatement."
},
"sources": {
"verdict": "pass",
"evidence": "Verified actual Apache-2.0 LICENSE files at FBLOrderContinuousLH ee3cde5070125ff2356b7144ff7a940a8dff2a54 and BanLat 33c4b73fce845c4295614326193d4e52111be762. The substantive completed-source commit 167b82ad69724d2ddb2a701fc932e52d445faecc has author and committer timestamp 2026-10-30T22:05:46Z. The paper arXiv:2611.00451, submitted 2026-10-30T23:06:06Z, contains the advertised results and links to the formalization. Submission time is not being substituted for first public release. Copyright, BanLat attribution and the paper's AI declaration are preserved; AI provenance is explicit."
},
"quality": {
"verdict": "pass",
"code_quality": 3,
"evidence": "The closure reuses 17 existing BanLat modules instead of duplicating the core. Only ten main modules, 21 additional BanLat modules and three focused interface restorations are added. The port repairs subtype-instance diamonds, unused assumptions and API documentation, removes all six heartbeat overrides, and preserves public theorem strength. Optimization separates proof fields from computational data, reuses dense-core extension/evaluation APIs and the scaled-family bound, and separates Hilbert/Euclidean dependency branches. No waiver, gate change or theorem weakening was used. Model remains the largest compilation unit; measured build results are recorded separately below. The final follow-up derives the infinity endpoint API from general inclusion, removes the duplication Greptile identified, and proves finite-target bounds over arbitrary free elements before specialization. The final two-proof follow-up supplies explicit function and domain/codomain arguments after CI bare profiling exposed fragile inference. Both full bare profiles now pass without setup files or option overrides; all mathematical statements and hypotheses remain unchanged. The imported FBL evaluation and functional-calculus lemmas now replace duplicate private proofs. support is a compatibility name for the shared compactSupport definition; scaling, positive homogeneity and weak-star continuity are proved once in Order and reused. Existing public names, types and hypotheses are preserved. The final proof consolidation derives the reversed-subtraction Cauchy-limit estimate by negation, moves the general dual-extension isometry theorem into Order and specializes it for ideal inclusions. The bidual theorem reuses the same helper. I inspected the complete three-file diff and checked unchanged public types, the norm-reversal step, contractivity and isometric dual-extension hypotheses. The evaluation follow-up aliases evalFVLv to FVLv.evalHom, banlatEval to FBL.evalAtFBL, and freeEvalCLM to Support.freeEvaluationCLM; PiLp evaluation reuses Mathlib PiLp.proj. I checked complete definitions and both consumers, plus the radial evaluation proof now using evalVecLatHom. Types and function values are definitionally preserved; ordinary build, bare profiles and all source/compiled gates pass. The induced-map implementation now restricts compHP via ContinuousLinearMap.domRestrict/codRestrict, with continuity derived by mkContinuous from hp_comp_norm_le. The free-space norm estimate specializes the homogeneous-space estimate. Both binary and finite Riesz–Kantorovich infimum formulas derive from the existing supremum formulas by IsLUB.neg and map_finset_inf'. I inspected the complete diff, checked unchanged theorem signatures and range hypotheses, and verified that canonical_map_formulas still proves the same pointwise action by rfl. The finite-family negation applies to the vectors, leaving positivity of the operator unchanged."
},
"trust": "Warning-as-error project build, all 15 declaration linters (36 modules / 2,717 declarations), style, generated-index checks, whole-repository static quality, card/declaration checks, compiled axiom closure and the option-backdoor audit pass on this exact source. Only Classical.choice, propext and Quot.sound are permitted. No Python source is changed.",
"findings": [],
"merge_condition": "All final-head local gates, controlled measurements, hosted required contexts and Greptile review pass. Fresh configured GPT review must complete before protected native queue entry. Separate source/diff review concludes approve with no unresolved finding.",
"measurements": {
"baseline_commit": "9d41e1cda1cdf7e06a2d51c4c1be021acdeae7db",
"baseline_wall_seconds": 519.1714621251449,
"final_wall_seconds": 489.17625506874174,
"baseline_model_seconds": 160,
"final_model_seconds": 113,
"command": "taskset -c 0,1,2,3 lake build LeanPool.FBLOrderContinuity.Imports",
"conditions": "All 36 owned Lean modules and their own build artifacts removed; pinned Mathlib and 17 shared BanLat module dependencies warm. Four-CPU affinity on a shared VM; no exclusive CPU reservation or OS cache flush.",
"caveat": "Single observations on a shared VM; unchanged modules varied. No diagnostic timeout total is counted as a successful benchmark.",
"final_child_user_seconds": 638.067217,
"final_max_child_rss_kib": 1912468,
"contemporary_baseline": {
"revision": "9d41e1cda1cdf7e06a2d51c4c1be021acdeae7db",
"wall_seconds": 593.0481085544452,
"child_user_seconds": 741.071999,
"model_seconds": 186
},
"interpretation": "Final 489.176 wall / 638.067 child CPU seconds versus initial baseline 519.171 / 695.917. Observed 5.8% lower wall and 8.3% lower CPU; all staged measurements preserved. Contemporary baseline 593.048 / 741.072 is also reported. Shared-host load varied; no universal speedup claim."
},
"profile_followup": {
"bare_profiles": "Final changed Model and RieszKantorovich both passed bare lean --profile without setup files or option overrides; previous unchanged-file profiles are preserved. These concurrent diagnostic timings are excluded from clean-project comparisons.",
"synchronous_counter": "Instrumented synchronous counts are advisory; incomplete totals are not treated as full project counts."
},
"reviewer": "Codex acquisition agent, separate source/diff review pass",
"resolved_review_notes": [
"Prior-approval assertions removed from contributor-controlled brief/checkpoint; independent formal reviews and factual exact-head evidence retained",
"Both duplicate-proof sites reuse imported lemmas with the same universe generality",
"Support definitions and compact-set endpoint continuity unified without narrowing any domain",
"Reversed-subtraction Cauchy-limit estimate reuses the existing estimate through negation",
"Ideal and bidual induced-isometry proofs share the general isometric dual-extension theorem",
"All three flagged public evaluation maps reuse existing APIs with compatibility aliases; Mathlib projection and local evaluation duplication also consolidated",
"Induced maps restrict the shared homogeneous precomposition operator, sharing algebraic laws and continuity",
"Finite and binary infimum formulas derive by order negation; the separate infimum induction is removed"
],
"ci_evidence": {
"head": "cb96c503b407ad672f40d2014413ba90469c3bde",
"lean_action_ci": "success",
"workflow_url": "https://github.com/LeanPool/lean-pool/actions/runs/43492320207",
"required_contexts": "All eight present from required Actions integration; success or correctly scoped skipped"
}
}
|
/review |
Preserves the completed formalization of Order continuity of induced homomorphisms between free Banach lattices. It characterizes order continuity at infinity by zero-or-isomorphic-embedding, and at finite exponents by the POE-p extension property. It proves the eight equivalent conditions for change-of-exponent inclusions, the finite-dimensional obstruction above two, and the Hilbert-space example below two.
The reusable content includes concrete free p-convex Banach lattices and their proved universal property, uniform finite-dimensional operator extensions, compact-support witnesses, lattice quotients, duality, representation and functional calculus. The source uses Mathlib continuous linear maps, finite ℓᵖ spaces and the real Hilbert sequence space. The headline criteria are proved from these constructions.
Upstream: pedrotradacete/FBLOrderContinuousLH, commit
ee3cde5070125ff2356b7144ff7a940a8dff2a54, with its Apache-2.0 LICENSE verified. The substantive mathematical completion commit is167b82ad69724d2ddb2a701fc932e52d445faecc, dated 2026-10-30 22:05:46 UTC, inside the acquisition interval [2026-09-13 10:45:16 UTC, 2026-11-06 10:45:16 UTC). The manuscript's v1 submission is timestamped October 30 at 23:06:06 UTC; submission time is not asserted to be first public release. The paper credits GPT-6 Astra and GPT-6 Sol for the Lean formalization under the authors' mathematical direction, so the card records AI provenance.Scope: ten main modules, 21 additional modules from David Muñoz-Lahoz's Apache-2.0 BanLat, and three focused compatibility modules restoring subtype, monotone weak-convergence and finite-product interfaces. Seventeen existing BanLat modules in
LeanPool.OrderClosuresare reused. This is 36 Lean modules / 26,136 physical lines, including the entry and generated wrapper, plus one YAML card. The fixedLeanPool.leanis unchanged. Source, card, open/merged PR, issue and history searches found no duplicate of this upstream. Bounded searches of pinned Mathlib/TauCeti found no matching headline result; shared OrderClosures infrastructure is reused.Upstream already uses the pool's Lean 4.35.0 and Mathlib
56a005855ea17e0b0958f73ec801ae140b0a1679. The port adapts module visibility and shared BanLat interfaces, repairs subtype-instance diamonds, adds API documentation and resolves warnings. All six upstream heartbeat overrides are eliminated by repairing proofs. Copyright, license and attribution headers are retained. No theorem is weakened, trust assumption added, gate changed or suppression introduced.Optimization separates opaque membership/norm proofs from computational data, compares plain dual functions before completed-lattice specialization, and shares dense-core extension and evaluation proofs. Hilbert and Euclidean modules have independent dependency branches; broad sequence-space imports move to their consumers. Finite-target bounds reuse the scaled-family estimate and apply bounded extension directly to the algebraic core. Infinity endpoint properties specialize the general inclusion API. Existing BanLat evaluation and functional-calculus lemmas replace private duplicates; compact-support scaling and continuity are shared; the reversed-subtraction estimate follows by negation; ideal and bidual embeddings share the general dual-extension isometry theorem. Evaluation interfaces alias the available BanLat, Support and Mathlib maps, and repeated local evaluation structures reuse them. Induced maps restrict the existing homogeneous precomposition map; continuity uses its proved norm bound. Binary and finite Riesz–Kantorovich infimum formulas follow from the supremum formulas through Mathlib order negation. Existing public statements and hypotheses are preserved.
Local validation at
cb96c503b407ad672f40d2014413ba90469c3bdepasses: project/public-wrapper build with warnings as errors; generated indexes; all 15 declaration linters over 36 modules / 2,717 declarations; style; whole-repository static quality; card/declaration checks; compiled axiom closure; and the compiled option-backdoor audit. The axiom audit permits onlyClassical.choice,propextandQuot.sound. No Python source changes. All 36 ordinary CI profiles pass on cb96c50 with no errors; the slowest, Model, is 91.51 s on that runner. Local barelean --profilealso passes on the changed files without setup files or option overrides. Diagnostic timings are separate from the clean-project comparisons. Final-head hosted validation: success: build, lint, style, repository quality and all eight required contexts passed or correctly scoped skipped.Compile measurement command:
taskset -c 0,1,2,3 lake build LeanPool.FBLOrderContinuity.Imports. Every owned project lib/IR artifact is removed before each run; pinned Mathlib and 17 shared BanLat modules are warm. All 36 owned modules rebuild successfully. Preserved measurements:9d41e1c8fbd1b569113523760076ddfe70ac412ce19d41e1ccb96c50Final observed wall measurement is 5.8% lower than the initial baseline. Model: 160 s → 113 s. These are single observations on a shared VM with four-CPU affinity, without exclusive CPU reservation or OS-cache flush; unchanged modules varied. Earlier faster intermediate observations are retained rather than substituted for the final result.
A contemporary clean baseline control at the original
9d41e1csource, in a separate worktree with the same warm dependencies and four-CPU command, passed in 593.048 s wall / 741.072 s child CPU. Against that control, the final wall measurement is 17.5% lower and observed child CPU is 13.9% lower. Model is 186 s in the control and 113 s in the final source. Changing host load and module timings limit causal precision; no general wall-speedup claim is made.A focused Model A/B/A comparison measured transparent aliases at 154.960 s wall / 157.342 s child CPU, definition aliases at 124.796 s / 143.241 s, and transparent aliases again at 133.102 s / 146.264 s. The final CPU difference was about 2%, with changing host load, so no material benefit from changing transparency was established. The published transparent aliases are retained. These standalone bare-profile diagnostics are separate from the clean-project measurements.
Command profiling identified expensive BanLat comparisons, repeated extension elaboration and target-norm inference. Explicit function/domain/codomain arguments also repair the CI profiler's bare-Lean path. Synchronous heartbeat counting is separately instrumented and remains incomplete in eight modules at its default budget; those partial totals are not claimed as full-project counts. The ordinary build and full profiles pass. No profiling script, source limit or gate is modified. The measured and reviewed source manifests are preserved.
Any eventual merge uses the protected native queue after all required checks and independent review conditions are satisfied.