Taste 演化日志
Taste 演化日志
这是什么
taste_curator.py 是 taste daemon 的工作台记录。它每轮看 codex-auto-dev 新进来的 paper / Lean 产物，把名字承诺很大但机器内容撑不住的对象放进 review queue。它不直接改具体章节；它把反复出现的坏形态提炼成机械 negative criterion, 再派 Codex 去收紧 P/R prompt 或 audit gate。
这份 dossier 不是 changelog, 也不是模板表格。它记录 daemon 当时看见了什么、为什么判断那不是孤例、Codex 真去查了哪些证据、最后把规则 ship 到哪里。一个主题可能经历多次收紧，所以同主题会合在一个 section 里，用子时间戳记录当时的判断。
当前观察 是 daemon 每轮刷新的一张快照。它只保留最新 state / queue / alert 形态, 不追加历史。RESEARCH 探索历史 则相反：每次 daemon 派 Codex 自由扫 corpus 找新坏味道, 不管有没有产出可 ship 的 detector, 都留一条记录。
当前观察 (auto-refresh)
最后刷新: 2026-07-02T14:23:09Z
Daemon 状态: monitor (monitor cycle 256, adjust_since_research 2, round_counter 35779, last_adjust rule_evolution_completed)
待处理 queue (1155 条 finding): - isolated_theorem: 836 条; 代表样本 derived, derived, derived - unauthorized_capstone: 253 条; 代表样本 cauchy, helly_theorem, metacic_candidate_strong_normalization - low_entropy_template: 66 条; 代表样本 variation_norm, kernelinductiveacceptance, polishspace
最近 alert 概览 (24h 内): - TASTE ALERT category=isolated_theorem: 72 次 - TASTE ALERT category=low_entropy_template: 13 次 - TASTE ALERT category=cycle_exception: 2 次 - TASTE ALERT category=resolution_gate_failed: 1 次
RESEARCH 候选 (尚未 ship): 本周期无新候选
演化时间线
2026-05-19 — 反 atomic ai 套壳 / 同型 carrier 错标 ai
这个主题从一个很具体的矛盾开始：章节自称 atomic \origin{ai}, 但 Lean 侧 carrier 看起来不是独立发现，而是落在大规模同型桶里的有限行包。daemon 没把它当成语义争论处理，而是只看机器可查事实：bucket 多大、字段表面跟多少兄弟重合、paper lineage 是否仍然写成 ai。
2026-05-19 16:49 — 第一次发现这个模式
daemon 当时在 queue 里看到 20 个 finding, 代表样本 realcompletionexactboundary / realityconstrainedmodelaudit / observationreflectionpacket 都标 \origin{ai}, 但 carrier 落进 bucket size 54 / 199 / 157 的大同型桶, 最大字段重叠到 6 / 7 / 9。这里的问题不是名字不漂亮，而是 atomic discovery 的名义没有对应的机器差异；同型 BHist 兄弟只说明它们共享 tuple shape, 不说明其中任何一个拥有独立 primitive 内容。
这次用的 META_PROMPT_RULE_EVOLUTION 来自 commit a3cf128973, 也就是 evidence-first 改写后的 prompt。Codex 真去查了 carrier-isomorphism JSON 和 phase1_buckets 分布, 然后推出 negative criterion: \origin{ai} chapter 的 <X>Up carrier 若落进至少 6 成员的 phase1 bucket, 就拒绝 atomic ai lineage。
Ship: commit e8085cee03. Detector: detect_mislabeled_composite_carriers(min_bucket_size=6) 写入 lean4/scripts/bedc_ci.py; phase_review.txt / phase_revise.txt 加了对应拒绝规则。
2026-05-19 22:46 — detector 上线后重扫全 corpus
audit 命中 569 个已存在 chapter, 代表样本 ActionCommitmentUp / AllowedProofAuditUp / AnalogyCertificateGateUp 分别落进 158 / 158 / 28 成员桶。这说明它不是个别坏例子，而是系统性的 atomic-ai 套壳惯性。如果直接把 569 条全部算 blocking, P/R round 会因为没碰过的旧内容被撞停。
这次 Codex 查的是 detector payload 和 audit 退出计数路径，推论不是改 threshold, 而是把输出分成 NEW-vs-LEGACY: 旧 corpus 继续暴露为 warning, 只有本轮新引入或触碰到的违规进入失败计数。META_PROMPT_RULE_EVOLUTION 当时仍是 commit a3cf128973 的 evidence-first 形态, 但这次工作重点是让 gate 不误伤历史存量。
Ship: commit bcedca58ec. Detector payload 从 single count 扩成 _new_count / _legacy_count, audit fail count 只看 new。
2026-05-20 02:05 — 推到 Lean Phase B
queue 又给出 20 个同类 finding, 其中 RealityConstrainedOpenFitUp / PhysicalInductionStabilitySealUp / TheoryTransitionCertificateUp 落在 201 / 201 / 98 成员桶。paper audit 已经会挡 P/R, 但 Lean Phase B 选 atomic TasteGate 目标时还可能绕开这条判断，把空洞 atomic 名称再包装成形式化任务。
Codex 查了 lean4/scripts/prompts/phase_b.txt 的目标选择流程，结论是 selection 前也要读 bedc_ci.py audit --json: 只要 schema name 已在 mislabeled_composite_carriers 里，Phase B 就跳过它。META_PROMPT_RULE_EVOLUTION 对应 commit a3cf128973; dossier 只记录 hash, 不复制 prompt。
Ship: commit 0bc257f024. Gate: Lean Phase B prompt 在选择 chapter 前查 mislabeled_composite_carriers, 命中就不补 atomic TasteGate。
2026-05-20 08:12 — 推到 Lean Phase C
daemon queue 继续给出 5 个同类 finding, 代表样本 metacicredexfrontier / axisboundarylimitrefusal / allowedproofaudit。本次派发由 META_PROMPT_RULE_EVOLUTION source commit d818c1392b224fe3cd2afc0fafea583de3137ebd 约束。Codex 没按 queue 直接下结论, 而是先跑 python3 lean4/scripts/bedc_ci.py audit --json, 当前 HEAD 返回 mislabeled_composite_carriers_new_count=0, mislabeled_composite_carriers_legacy_count=519; 其中 AuditGateCompositionUp, AuditGateFailureWitnessUp, AuditMapConcreteInventoryUp 分别落在 98 / 108 / 158 成员桶。另用 rg -n -F '\origin{ai}' 和 rg -n -F '\begin{closurestatus}' 对 cluster 文件取到 MetaCICRedexFrontierUp, AxisBoundaryLimitRefusalUp, AllowedProofAuditUp, AnalogyCertificateGateUp, CauchyChoiceBoundaryUp 的 paper lineage 行, 并用 rg -n 'inductive .*Up|ChapterTasteGate|FieldFaithful' 查到对应 TasteGate.lean 都在普通 carrier 上建 gate。
negative criterion 没变: atomic \origin{ai} 的 <X>Up carrier 只要命中 mislabeled_composite_carriers, Phase C 就不得继续给它补 BHistCarrier / ChapterTasteGate / FieldFaithful / Nontrivial 或状态 marker。改动只落在 lean4/scripts/prompts/phase_b.txt, lean4/scripts/prompts/phase_c.txt, docs/dossier/taste-evolutions.qmd; 执行 gate 由 Phase C prompt 强制先读 bedc_ci.py audit --json, detector 仍是 detect_mislabeled_composite_carriers(min_bucket_size=6)。
Ship: commit 396d2b0afec0240ddcbe7e98ada325a304a79c45. Detector/gate: recorded by daemon after merge.
2026-05-20 11:18 — 推到 paper Review/Revise
daemon queue 给出 6 个同类 finding, 代表样本 tailcofinalitybudget / auditgatecomposition / diagonalregularityseal。本次派发由 META_PROMPT_RULE_EVOLUTION source commit 67c19c8d386712945ae534d3acf433da526e617a 约束。Codex 没按 queue 直接下结论, 而是先跑 rg -n -F '\origin{ai}' 和 rg -n 'inductive ...|ChapterTasteGate|FieldFaithful|Nontrivial'; 当前 HEAD 中 AuditMapRouteCompilerUp, AuditMapTemplatePacketUp, AuditReexportNamespaceUp 都同时有 atomic lineage 与普通 TasteGate/FieldFaithful/Nontrivial 包装。python3 lean4/scripts/bedc_ci.py audit --json 返回 mislabeled_composite_carriers_new_count=0, mislabeled_composite_carriers_legacy_count=503, 这三个样本分别落在 28 / 158 / 108 成员桶。
negative criterion 仍是只看机器形态: 现有 \origin{ai} chapter 的 <X>Up 若命中 mislabeled_composite_carriers, paper 侧不得继续给它加 \leanchecked, \leanstmt, closurestatus, \falsifiablePrediction, \independenceWitness, 或 atomic ai nontriviality prose；唯一允许的 paper target 是把 lineage 改成 \origin{ai-composite} 并写清 composite dependency。改动落在 papers/bedc/scripts/prompts/phase_review.txt, papers/bedc/scripts/prompts/phase_revise.txt, docs/dossier/taste-evolutions.qmd; 执行 gate 由 Review/Revise prompt 强制读取 bedc_ci.py audit --json, detector 仍是 detect_mislabeled_composite_carriers(min_bucket_size=6)。
Ship: commit 1c402312f6f49041d0a51eae0c687d2061ee40e8. Detector/gate: recorded by daemon after merge.
2026-05-20 18:24 — TasteGate 证据不能洗白同型桶
daemon queue 给出 5 个同类 finding, 代表样本 metacicnormalizationconfluencebridge / compilerclassifierroute / substitutionboundaryaudit。本次派发由 META_PROMPT_RULE_EVOLUTION source commit a3bc4d544a248dc0ddf1c416b4fc965ac7d1dec9 约束。Codex 先按 current HEAD 查证: rg -n -F '\origin{ai}' 与 bedc_ci.py audit --json 显示 BedcSelfSubstrateUp, BedcTheoryIdentityUp, BetaCongruenceDomainAuditUp 仍标 atomic ai, 各自落在 201 成员 phase1_buckets 桶；rg -n 'inductive ...|BHistCarrier|ChapterTasteGate|FieldFaithful|Nontrivial' 又显示这些 carrier 已有普通 TasteGate / FieldFaithful / Nontrivial 包装。
negative criterion 维持机器形态: <X>Up 命中 mislabeled_composite_carriers 时, 现成 BHistCarrier, ChapterTasteGate, FieldFaithful, 或 Nontrivial 证据不得被当作解除错标的依据。改动落在 papers/bedc/scripts/prompts/phase_review.txt, papers/bedc/scripts/prompts/phase_revise.txt, docs/dossier/taste-evolutions.qmd; Review/Revise prompt 现在直接拒绝用这些包装洗白同型桶, detector 仍是 detect_mislabeled_composite_carriers(min_bucket_size=6)。
Ship: commit 8dfd9c801b9e762e3f74198288bdcb25db377f4a. Detector/gate: recorded by daemon after merge.
2026-05-20 22:52 — audit gate 回到执行面
daemon queue 给出 20 个同类 finding, 代表样本 cellularboundarycondition / realityconstrainedsignaturefit / realityconstrainedtruthcert。本次派发由 META_PROMPT_RULE_EVOLUTION source commit c7579a6e76d47f511be966af4174b634ad884992 约束。Codex 先查 current HEAD: rg -n -F '\origin{ai}' 命中这些 chapter 的 atomic lineage, rg -n 'inductive .*Up|ChapterTasteGate|FieldFaithful|Nontrivial' 命中对应普通 TasteGate 包装, 再用 bedc_ci.py carrier-isomorphism --json 的 phase1 bucket 重算出 CellularBoundaryConditionUp / RealityConstrainedSignatureFitUp / RealityConstrainedTruthCertUp 分别落在 108 / 201 / 161 成员桶。
negative criterion 是纯机器形态: \origin{ai} 的 <X>Up 若位于至少 6 成员的 phase1 carrier 同型桶, 就拒绝 atomic ai 目标。改动落在 lean4/scripts/bedc_ci.py, lean4/scripts/prompts/phase_b.txt, lean4/scripts/prompts/phase_c.txt, papers/bedc/scripts/prompts/phase_review.txt, papers/bedc/scripts/prompts/phase_revise.txt, docs/dossier/taste-evolutions.qmd; detect_mislabeled_composite_carriers(min_bucket_size=6) 现在进入 audit payload, Review/Revise 与 Lean Phase B/C prompt 都以 mislabeled_composite_carriers 为执行 gate。
Ship: commit f63171aa56a7b4f94fe52a57bac39800a4b26331. Detector/gate: recorded by daemon after merge.
2026-05-21 — chapter lineage 缺失
2026-05-21 05:16 — \chapter 没有机器 lineage
daemon queue 给出 3 个 missing_origin finding, 代表样本是 banach / int / continuousmap。本次派发由 META_PROMPT_RULE_EVOLUTION source commit 83c0631cbce7f2106933835a15fce0b3a29fbfeb 约束。Codex 先按 current HEAD 查队列样本: banach/intro_and_carrier.tex 已有 \origin{human}, 06_int_namecert_construction.tex 和 108_continuousmap_namecert_construction.tex 当前只是 hub, 不含 \chapter{...}。所以旧 cluster 本身不足以证明 concrete-instance 专用规则。
Codex 随后用 Python 扫 papers/bedc/parts/**/*.tex, 找到 137 个当前 \chapter{...} 文件没有顶层 \origin{...}, 代表证据包括 papers/bedc/parts/acceptance/01_derivation_acceptance_gate.tex:1, papers/bedc/parts/acceptance/02_standard_bridge_protocol.tex:1, papers/bedc/parts/acceptance/03_cannot_claim_registry.tex:1。negative criterion 是: paper parts 下任何实际 chapter 文件如果缺少唯一顶层 \origin{human} 或 \origin{ai}, 就拒绝; hub-only \input 文件不在这个规则内。改动落在 lean4/scripts/bedc_ci.py, papers/bedc/scripts/prompts/phase_review.txt, papers/bedc/scripts/prompts/phase_revise.txt, docs/dossier/taste-evolutions.qmd; detect_paper_chapter_origin_tags() 现在在 audit 中输出 new/legacy split, Review/Revise prompt 要求新 chapter 自带唯一合法 lineage。
Ship: commit d25a5c4ebdd190317541c4de6cc9b39c24a22857. Detector/gate: recorded by daemon after merge.
2026-06-13 01:07 — Phase Verify 执行面
daemon queue 给出 5 个 missing_origin finding, 代表样本是 bioreality_q_six_modeled_tai_bounded_coupling / bioreality_q_six_powered_modeled_tai_survival / bioreality_q_six_direct_protein_omics_survival。本次派发由 META_PROMPT_RULE_EVOLUTION source commit ff9f1995405c18bc109ec0370d2262b112a0dfb9 约束。Codex 先查 current HEAD: cluster 中 14125_bioreality_q_six_four_case_discriminant_ledger_namecert_construction.tex 已有 \origin{ai}, 其余几个代表样本是 hub routing surface, 不持有 \chapter{...}; concrete-instance 顶层 chapter 缺 origin 数量为 0。随后用 Python 扫 papers/bedc/parts/**/*.tex, 得到 1103 个当前 \chapter{...} 文件缺唯一顶层 \origin{human|ai}, 证据包括 papers/bedc/parts/concrete_instances/100037_upcrossing_namecert_construction.tex:1, papers/bedc/parts/concrete_instances/10017_finitetailfilter_namecert_construction.tex:1, papers/bedc/parts/concrete_instances/100487_regular_cauchy_zero_distance_namecert_construction.tex:1。
negative criterion 维持纯负向: touched paper chapter file 若含 \chapter{...} 但没有且仅有一个顶层 \origin{human} 或 \origin{ai}, 就拒绝。改动落在 papers/bedc/scripts/phase_paper_gates.py, papers/bedc/scripts/prompts/phase_review.txt, papers/bedc/scripts/prompts/phase_revise.txt, docs/dossier/taste-evolutions.qmd; Phase Verify 的 chapter-origin gate 现在执行该规则, bedc_ci.py 的 detect_paper_chapter_origin_tags() 继续在 audit payload 暴露全库 drift。
2026-06-13 — missing origin
Ship: commit c185d7a4a53ebf057d710b696eedfd7edf9d9df7. Detector/gate: recorded by daemon after merge.
RESEARCH 探索历史
每次 RESEARCH cycle daemon 派 Codex 扫整个 corpus, 目标是找现有 detector 没覆盖的新平凡 pattern。这里记录探索范围和结论；没 ship 的探索也保留, 因为 operator 需要知道 daemon 不是只在成功时才留下痕迹。
- 当前还没有已记录的 RESEARCH cycle 输出。后续 daemon 会追加一行, 说明使用的 META_PROMPT_RESEARCH commit、Codex 自选的搜索范围、候选数量以及是否进入 queue。
2026-05-20T10:57:59Z: 用 META_PROMPT_RESEARCH (commit
048a4b867156ddd04025b77358d8f4b01c2d25ec). 探索方向: 自决 corpus 扫描。报告 0 个候选; codex 没给出达到 evidence 门槛的新 negative pattern。 没有写入 queue。2026-05-21T04:11:33Z: 用 META_PROMPT_RESEARCH (commit
9e55faef2d6fb394a7b63c92b3763efd8e8c4b95). 探索方向: 自决 corpus 扫描。报告 0 个候选; codex 没给出达到 evidence 门槛的新 negative pattern。 没有写入 queue。
V3 — Per-finding resolution (2026-05-22)
Daemon evolved from “quality dashboard” to “per-finding resolver”: - Each cycle picks top-1 HUMAN_REVIEW_ONLY pending finding - Dispatches codex inspect+decide+implement (1 of 4 actions) - Goes through full gate stack (lake build / audit / phase_d_lint / axiom-purity) - Rate-limited: max 24 resolutions/day, per-finding 24h cooldown - Failures revert to leave_with_rationale, no BASE pollution
Implements user request “AI 能看出来哪些没意义” – moves from rule abstraction to case-by-case judgment.
2026-05-21T18:18:21Z:
resolveddelete_theoremforBEDC.Derived.FiniteLebesgueNumberUp.FiniteLebesgueNumberCarrier_window_coverage_exactness(flagisolated_theorem, findingisolated_theorem:finitelebesguenumber:BEDC.Derived.FiniteLebesgueNumberUp.FiniteLebesgueNumberCarrier_window_coverage_exactness:39d9fa69). Rationale: The target had no downstream Lean users and was only marked in the finite Lebesgue-number paper chapter. Its content is covered by the immediately following stronger theoremFiniteLebesgueNumberCoverCellReadbackTotality, which preserves the same window-to-cover-cell route and also includes the carrier cover and radius-mesh route data, so keeping the isolated theorem added a redundant public declaration. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-21T19:34:18Z:
resolvedleave_with_rationaleforBEDC.Derived.FiniteLebesgueNumberUp.FiniteLebesgueNumberCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:finitelebesguenumber:BEDC.Derived.FiniteLebesgueNumberUp.FiniteLebesgueNumberCarrier_namecert_obligations:39d9fa69). Rationale: The target has real BEDC content: it constructs the root SemanticNameCert for the FiniteLebesgueNumber carrier and exports the carrier’s UnaryHistory, Cont, and PkgSig obligations used by the chapter narrative. I attempted to add a downstream Lean consumer in the Phase Real audit-ledger sibling, but lake build failed on a nested projection from the root obligation tuple, so the attempted edits were reverted as required. Removing the theorem would drop the root certificate surface rather than just deleting a trivial wrapper. Gate results: lake_build=error: BEDC/Derived/FiniteLebesgueNumberUp/PhaseRealAuditLedgerReadiness.lean:152:6: Application type mismatch: rootObligations.right.right.right.right.left has type UnaryHistory mesh but expected UnaryHistory auditRead, audit=skipped, phase_d_lint=skipped.2026-05-21T20:36:21Z:
resolvedleave_with_rationaleforBEDC.Derived.FiniteLebesgueNumberUp.FiniteLebesgueNumberCarrier_window_coverage_exactness(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.FiniteLebesgueNumberUp.FiniteLebesgueNumberCarrier_window_coverage_exactness:80d5465a). Rationale: The daemon finding is stale in this worktree: the flagged declaration is no longer present in Lean, andlean4/BEDC/Derived/FiniteLebesgueNumberUp/Core.leanline 182 now containsFiniteLebesgueNumberCoverCellReadbackTotality. The finite Lebesgue-number chapter points at that stronger theorem, and repo grep finds the flagged fully-qualified name only indocs/dossier/taste-evolutions.qmd, not in Lean or paper markers. Gate results: lake_build=skipped, audit=skipped, phase_d_lint=skipped.2026-05-21T21:57:50Z:
resolvedadd_downstream_userforBEDC.Derived.FiniteLebesgueNumberUp.FiniteLebesgueNumberCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.FiniteLebesgueNumberUp.FiniteLebesgueNumberCarrier_namecert_obligations:80d5465a). Rationale: The target is not a disposable wrapper: it constructs the root SemanticNameCert surface for FiniteLebesgueNumberCarrier and exports the carrier obligations needed by the chapter narrative. I added a same-family downstream theorem, BEDC.Derived.FiniteLebesgueNumberUp.FiniteLebesgueNumberPhaseRealAuditLedgerRootNamecertUse, in the Phase Real audit-ledger sibling; it explicitly calls the root NameCert-obligations theorem and combines its root certificate/provenance/audit package with the existing Phase Real audit-ledger readiness route. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-21T23:17:18Z:
resolveddelete_theoremforBEDC.Derived.WeierstrassMTestUp.WeierstrassMTestCarrier_uniform_tail_budget_scope(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.WeierstrassMTestUp.WeierstrassMTestCarrier_uniform_tail_budget_scope:12c20eb9). Rationale: The target had no downstream Lean consumers after repo-wide grep; it only appeared as its own declaration and one removable paper marker. Its content is an unconsumed intermediate projection assembled from WeierstrassMTestCarrier_regseqrat_handoff plus carrier fields, while later stronger theorems such as WeierstrassMTestCarrier_obligation_closure_package, WeierstrassMTestCarrier_uniform_cauchy_handoff, and the public convergence export already carry the meaningful route. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-22T00:35:45Z:
resolvedadd_downstream_userforBEDC.Derived.WeierstrassMTestUp.WeierstrassMTestCarrier_tail_majorant_ledger(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.WeierstrassMTestUp.WeierstrassMTestCarrier_tail_majorant_ledger:12c20eb9). Rationale: The target is not a disposable wrapper: it exposes the tail read, domination-tail route, hsame alignment with the regular handoff, and package rows for the Weierstrass M-test carrier. Repository grep showed no Lean consumer, while the paper already treats it as part of the majorant-domination package, so I added a sibling theorem that consumes it together with the existing majorant-domination package and records the combined surface in the chapter. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-22T01:46:20Z:
resolvedleave_with_rationaleforBEDC.Derived.WeierstrassMTestUp.WeierstrassMTestCarrier_majorant_tail_transport(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.WeierstrassMTestUp.WeierstrassMTestCarrier_majorant_tail_transport:12c20eb9). Rationale: The target has real BEDC content: it transports an accepted Weierstrass M-test carrier across an hsame tail replacement, rebuilds the Cont domination-tail-regseq route, and returns the induced hsame on the RegSeqRat handoff row. Repo grep showed no Lean downstream user and only the paper marker, so I attempted add_downstream_user by adding a transported-tail obligation-closure consumer, but lake build failed on the edited WeierstrassMTestUp.lean with unsolved goals and tab-format errors. Per the task rule, I reverted the edit and switched to leave_with_rationale; the theorem should be kept as staging for the nearby uniform-tail/RegSeqRat/Real-seal route rather than deleted. Gate results: lake_build=failed after attempted downstream consumer: BEDC/Derived/WeierstrassMTestUp.lean reported tabs are not allowed and unsolved goals around WeierstrassMTestCarrier_majorant_tail_transport / obligation closure; changes reverted, audit=skipped, phase_d_lint=skipped.2026-05-22T03:05:52Z:
resolvedadd_downstream_userforBEDC.Derived.BHistCellRowEmbeddingUp.BHistCellRowEmbeddingCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:bhistcellrowembedding:a863696a). Rationale: The target has real BEDC content: it constructs a SemanticNameCert for the BHist cell-row embedding carrier rather than merely wrapping another theorem. The related CellularVerbRealignmentUp chapter already treats the embedding/readback row as a sibling dependency, so I added a downstream theorem there that consumes the target theorem and ties its SemanticNameCert output to the realignment TasteGate and FieldFaithful boundary. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-22T04:24:36Z:
resolvedadd_downstream_userforBEDC.Derived.FiniteWindowRealSealAuditUp.FiniteWindowRealSealAuditCarrier_refusal_transport(flagisolated_theorem, findingisolated_theorem:finitewindowrealsealaudit:90f06f16). Rationale: The theorem is not a disposable wrapper: the chapter uses it as the transport-stability claim for the finite-window Real-seal audit route, and the Lean statement transports the full carrier across componentwise hsame while preserving the target Cont and PkgSig rows. Grep showed no existing Lean downstream use, so I added FiniteWindowRealSealAuditCarrier_transport_nonescape in the same row family; it uses the flagged theorem to build the transported carrier and then feeds that result into the existing nonescape theorem, tying refusal transport to an actual consumer certificate. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-22T09:27:02Z:
resolvedadd_downstream_userforBEDC.Derived.DoCalculusUp.DoCalculusPacket_namecert_obligation_surface(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.DoCalculusUp.DoCalculusPacket_namecert_obligation_surface:ae9f6b20). Rationale: The target is not a trivial wrapper: it constructs a SemanticNameCert for the DoCalculus local naming surface and proves UnaryHistory closure for intervention, adjustment, and probability reads. It was isolated because only the paper marker referenced it, so I added a sibling TasteGate consumer theorem that combines the DoCalculus event-flow round trip and field readback with this NameCert obligation surface, making the original theorem an actual Lean dependency. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-22T10:46:30Z:
resolvedadd_downstream_userforBEDC.Derived.DoCalculusUp.DoCalculusPacket_adjustment_ledger_exactness(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.DoCalculusUp.DoCalculusPacket_adjustment_ledger_exactness:ae9f6b20). Rationale: The theorem has real BEDC content: it extracts the adjustment ledger’s UnaryHistory closure, Cont routes, and both localName and adjustmentRead PkgSig facts from an accepted DoCalculusPacket. It was isolated because only the paper marker referenced it, so I added a sibling TasteGate consumer theorem that combines the DoCalculus event-flow round trip and field readback with this adjustment ledger exactness result, making the target a real Lean dependency without changing the paper marker. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-23T05:34:43Z:
resolvedleave_with_rationaleforBEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_uniform_modulus_consumer_handoff(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_uniform_modulus_consumer_handoff:e21c0c1b). Rationale: The theorem has real BEDC content: it packages an accepted LipschitzMap carrier, a provenance-to-localCert consumer route, and a consumer PkgSig into the source/graph/bound/modulus/consumer handoff needed by UniformModulus-facing consumers. The paper already uses this route conceptually in the LipschitzMap uniform-modulus and complete-metric regular seal discussion, while raw-string grep found no Lean downstream consumer. I attempted to add a sibling consumer in CompleteMetricRegularSealBoundary, but lake build failed on that edit with tabs plus unsolved goals, so the change was reverted as instructed; audit and phase_d_lint were skipped after the required fallback. Gate results: lake_build=FAIL after attempted add_downstream_user: CompleteMetricRegularSealBoundary.lean reported tabs are not allowed at lines 80-82, unexpected command, Unknown identifiercarrier, and unsolved goals in the added/proximal proof; changes reverted., audit=skipped, phase_d_lint=skipped.2026-05-23T06:55:40Z:
resolvedadd_downstream_userforBEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_uniform_modulus_boundary(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_uniform_modulus_boundary:e21c0c1b). Rationale: The target is structurally meaningful: it extracts the Lipschitz modulus, consumer row, graph-bound route, modulus-provenance route, and package provenance from the carrier plus a consumer continuation. Exact full-name grep found no prior downstream Lean consumer, while the paper uses the corresponding ledger nonescape theorem as an active narrative anchor. I added a same-family completion consumer theorem that explicitly calls the target and routes its boundary output into a real-seal/completion handoff. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-23T08:17:18Z:
resolvedadd_downstream_userforBEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_common_bound_completion_route(flagisolated_theorem, findingisolated_theorem:lipschitzmap:BEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_common_bound_completion_route:20b6701a). Rationale: The target is not a disposable wrapper: it assembles the Lipschitz carrier, shared bound-to-real-seal route, completion read route, and package signatures into a completion-facing row package. It had no Lean downstream references beyond its paper marker, so I added a sibling consumer theorem,LipschitzMapCarrier_common_bound_completion_namecert_route, which uses the target to build aSemanticNameCertsurface for the completion read and exports the relevant completion route facts. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-24T14:15:21Z:
resolvedleave_with_rationaleforBEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_target_distance_exactness(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_target_distance_exactness:e21c0c1b). Rationale: The theorem is not a disposable wrapper: it is the Lean target for the paper’s LipschitzMap target-distance exactness claim, and the surrounding paper proof uses that exactness as the source route for contraction-threshold consumers. I attempted to add a downstream sibling consumer in BoundDependencyLock tying this exactness theorem to the contraction-threshold handoff, but the required gate failed on that edited file, so I reverted the attempted edit and leave the theorem with rationale under the task rule. Gate results: lake_build=error: Some required targets logged failures: - BEDC.Derived.LipschitzMapUp.BoundDependencyLock; BEDC/Derived/LipschitzMapUp/BoundDependencyLock.lean:66:27: Application type mismatch: exactness.right.right.right.right.right.right.left has type Cont sourceDistance bound targetDistance but expected Cont graph bound modulus, audit=skipped, phase_d_lint=skipped.2026-05-24T16:49:59Z:
resolvedleave_with_rationaleforBEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_public_modulus_export(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_public_modulus_export:e21c0c1b). Rationale: The target is structurally meaningful rather than a disposable wrapper: it exports the carrier’s internal modulus as the unique public read for the same graph/bound route, using cont_deterministic to produce hsame publicRead modulus plus the package/unary evidence needed by downstream UniformModulus and scoped-completion consumers. The paper chapter has a primary marker for it, while exact full-name grep only hit the generated .ilean artifact because paper underscores are escaped. I attempted an add_downstream_user in LipschitzMapUp/ScopedModulusRoute.lean to consume this theorem, but lake build failed on that edit due a local binding namedscopedcolliding with Lean syntax; per instruction I reverted the change and leave this with rationale for a retry that adds the same consumer with a non-keyword local name. Gate results: lake_build=error: BEDC/Derived/LipschitzMapUp/ScopedModulusRoute.lean:126:7: unexpected token ‘scoped’; expected ‘(’, ‘:=’, ‘|’ or term; build failed, audit=skipped, phase_d_lint=skipped.2026-05-24T18:15:20Z:
resolvedadd_downstream_userforBEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_namecert_obligation_certificate(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_namecert_obligation_certificate:e21c0c1b). Rationale: The certificate is not a trivial wrapper: it constructs the local LipschitzMap SemanticNameCert surface and exports the carrier’s unary, continuation, and package rows. I added a sibling completion-facing handoff theorem that explicitly consumes this certificate together with the common-bound completion route, so the local NameCert obligation now feeds a downstream completion consumer. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-24T20:57:20Z:
resolvedadd_downstream_userforBEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_contraction_threshold_handoff(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_contraction_threshold_handoff:e21c0c1b). Rationale: The target carries real LipschitzMap BEDC content: it exposes the contraction-threshold route from the bound ledger through a handoff row, and the paper has a primary marker for it. It was isolated because the adjacent stronger threshold factorization reproved the same handoff surface instead of consuming it. I added a sibling downstream theorem, LipschitzMapCarrier_contraction_threshold_certified_handoff, which uses the flagged theorem directly and upgrades its output into a SemanticNameCert-certified handoff surface. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-25T01:00:13Z:
resolveddelete_theoremforBEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_composite_bound_routing(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_composite_bound_routing:e21c0c1b). Rationale: The target had no downstream Lean consumer: exact full-target grep found no references, and unqualified search showed only the declaration plus the paper marker. Its content was already subsumed by the stronger sibling theoremLipschitzMapCarrier_composition_boundary, which proves the same composite graph/modulus routing while also carrying the certificate and remaining route data, so keeping the isolated theorem only duplicated a staging fragment. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-25T02:24:17Z:
resolvedadd_downstream_userforBEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_bound_transport(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_bound_transport:e21c0c1b). Rationale: The target carries real BEDC content: it transports the Lipschitz carrier across source, target, bound, and graph hsame rows, rebuilds the accepted carrier over the transported rows, and preserves the induced modulus relation. The paper chapter already uses the bound-transport theorem as a dependency for later consumer-facing LipschitzMap results, while grep showed no Lean consumer before this change. I connected it to the sibling BoundDependencyLock surface with a theorem that invokes the target and then routes the transported carrier into the downstream bound/modulus consumer lock. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-25T05:07:23Z:
resolvedadd_downstream_userforBEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_identity_carrier_boundary(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.LipschitzMapUp.LipschitzMapCarrier_identity_carrier_boundary:e21c0c1b). Rationale: The identity carrier theorem is not merely a wrapper: it constructs the source-equals-target Lipschitz carrier from the displayed UnaryHistory, Cont, and PkgSig fields and exports the induced modulus history. I added a sibling consumer in the bound-dependency family that uses this theorem to build the identity carrier, then routes it through the existing bound dependency lock, giving the target a concrete downstream Lean use without changing the paper marker. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-25T07:48:45Z:
resolvedadd_downstream_userforBEDC.Derived.KernelAcceptanceWitnessUp.KernelAcceptanceWitnessTasteGate_single_carrier_alignment(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.KernelAcceptanceWitnessUp.KernelAcceptanceWitnessTasteGate_single_carrier_alignment:6b802eb5). Rationale: The target is not a vacuous wrapper: it exposes the KernelAcceptanceWitness BHist codec, EventFlow round trip, injectivity, and empty-history encoding used by the chapter as its carrier alignment target. Repo search showed it had no Lean downstream consumer, only paper markers, so I added a sibling audit-witness consumer theorem that explicitly uses this alignment while also exporting the audit carrier’s accepted and ledger routes. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-25T23:32:36Z:
resolvedadd_downstream_userforBEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_namecert_obligations:235aebaa). Rationale: The target is not a disposable wrapper: it constructs the local SemanticNameCert surface for the bounded normal-equality checker and is the paper’s NameCert obligations marker. Grep showed no prior Lean downstream user, so I added a substantive consumer theorem that invokes this target and projects its pattern and ledger soundness into a concrete local read boundary, then marked the paper’s ledger exactness theorem against that new Lean target. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-26T17:21:11Z:
resolvedleave_with_rationaleforBEDC.Derived.ZetaContinuationApplicationUp.ZetaContinuationApplicationCarrier_public_export_surface(flagisolated_theorem, findingisolated_theorem:zetacontinuationapplication:BEDC.Derived.ZetaContinuationApplicationUp.ZetaContinuationApplicationCarrier_public_export_surface:25a7af79). Rationale: The theorem is not a staging-only True wrapper: it constructs a SemanticNameCert for the public export surface from the carrier, Cont routes, UnaryHistory closure, hsame transport, and PkgSig evidence, matching the chapter’s public export surface claim. I attempted to add a downstream bridge-consumer theorem, but the required lake build failed on BEDC.Derived.ZetaContinuationApplicationUp.BridgeConsumerBoundary, so I reverted the attempted edit and leave the theorem in place with this gate failure recorded. Gate results: lake_build=Some required targets logged failures: - BEDC.Derived.ZetaContinuationApplicationUp.BridgeConsumerBoundary error: build failed, audit=skipped, phase_d_lint=skipped.2026-05-26T21:32:56Z:
resolvedleave_with_rationaleforBEDC.Derived.MetaCICCriticalPathUp.MetaCICCriticalPathPacket_provenance_nonescape(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.MetaCICCriticalPathUp.MetaCICCriticalPathPacket_provenance_nonescape:70dfcbc3). Rationale: The theorem has real BEDC content: it constructs a SemanticNameCert for provenance-read nonescape, is the primary Lean marker for the paper theoremmetacic-critical-path-provenance-nonescape, and the paper uses that theorem as a dependency in multiple later MetaCICCriticalPath arguments. I attempted to add a downstream Lean consumer inDownstreamReadinessBoundary.lean, butlake buildfailed because the proposed consumer required transportingPkgSig bundle row pkgacrosshsame, which is not available in the existing interface. Per task instructions, I reverted the attempted edit and leave the theorem with this rationale rather than deleting or staging it. Gate results: lake_build=error: BEDC/Derived/MetaCICCriticalPathUp/DownstreamReadinessBoundary.lean:142:56: Application type mismatch: source.right.right has type PkgSig bundle _row pkg but is expected to have type PkgSig bundle _row’ pkg, audit=skipped, phase_d_lint=skipped.2026-05-28T22:14:36Z:
resolvedadd_downstream_userforBEDC.Derived.UniformLimitUp.UniformLimitCarrier_seal_factorization(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.UniformLimitUp.UniformLimitCarrier_seal_factorization:edae215e). Rationale: The target is not a disposable wrapper: it extracts the finite endpoint route from a UniformLimit carrier, including UnaryHistory rows, Cont routing, and PkgSig endpoint provenance. The paper uses it as the UniformLimit closure anchor and as the informal basis for continuity-facing handoffs, but Lean had no downstream reference. I added a UniformLimitContinuity consumer theorem that calls the target directly and packages the factorized endpoint route with a continuity-consumer Cont row. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-29T07:14:51Z:
resolvedadd_downstream_userforBEDC.Derived.MetaCICCriticalPathUp.MetaCICCriticalPathPacket_downstream_readiness_boundary(flagisolated_theorem, findingisolated_theorem:metaciccriticalpath:BEDC.Derived.MetaCICCriticalPathUp.MetaCICCriticalPathPacket_downstream_readiness_boundary:187e0135). Rationale: The target has real BEDC content: it constructs a downstream SemanticNameCert from an accepted MetaCICCriticalPathPacket, a route-to-local-name continuation, and downstream package evidence. It was isolated because the later root-consumer theorem reproved a broader readiness surface instead of consuming this boundary. I added a sibling consumer theorem that directly invokes the flagged theorem and combines its downstream readiness certificate with discharge-row visibility, tying the downstream surface to the obstruction/discharge socket boundary rather than leaving it as a paper-only marker. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-30T13:49:19Z:
resolvedleave_with_rationaleforpolishspace(flaglow_entropy_template, findinglow_entropy_template:polishspace:4366abef:6b159b02). Rationale: The finding is chapter-level rather than a concrete Lean target: the low-entropy evidence comes from the polishspace hub/autoref wrapper, while the surrounding chapter files contain substantive BEDC carrier, NameCert, density, completion, stream/readback, root-unblock, Cauchy-basis, and ledger-exactness content. The Lean namespace likewise has real propositions over BHist, Cont, PkgSig, SemanticNameCert, UnaryHistory, and the root Cauchy-basis carrier; several items are consumed by sibling theorem chains or paper theorem structure, and the empty target makes theorem deletion unsafe. No source change is appropriate for this finding. Gate results: lake_build=skipped, audit=skipped, phase_d_lint=skipped.2026-05-30T17:49:00Z:
resolvedadd_downstream_userforBEDC.Derived.PseudometricUp.PseudometricCarrier_zero_distance_boundary_obligation(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.PseudometricUp.PseudometricCarrier_zero_distance_boundary_obligation:b56969e5). Rationale: The target is not a vacuous restatement: it builds the zero-distance boundary SemanticNameCert surface used by the pseudometric paper route, but grep showed no Lean downstream consumer. I added PseudometricCarrier_boundary_ledger_nonescape_consumer in the ledger-nonescape sibling file; it explicitly invokes the flagged theorem, then carries the boundary row through replay into a ledger-facing SemanticNameCert with UnaryHistory, Cont, and PkgSig outputs. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-05-30T20:46:33Z:
resolvedleave_with_rationaleforBEDC.Derived.PseudometricUp.PseudometricCarrier_separated_reflection_handoff(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.PseudometricUp.PseudometricCarrier_separated_reflection_handoff:235834fe). Rationale: The theorem has real BEDC content: it packages the separated-reflection boundary from a PseudometricCarrier into a SemanticNameCert plus unary handoff facts, and the paper chapter uses it as the boundary for later zero-distance completion and quotient-reflection arguments. Grep confirmed no existing Lean downstream consumer. I attempted add_downstream_user by making PseudometricCarrier_zero_distance_completion_route consume this handoff, but lake build failed because the proof destructured carrier before reusing it, producing Unknown identifiercarrier; per instruction I reverted the edit and leave this as staging-only with the gate failure recorded. Gate results: lake_build=FAILED: BEDC/Derived/PseudometricUp/ZeroDistanceCompletionRoute.lean:40:6 Unknown identifiercarrier; unsolved goals after attempted downstream-user edit; changes reverted, audit=skipped, phase_d_lint=skipped.2026-05-31T06:48:20Z:
resolvedadd_downstream_userforBEDC.Derived.FareySequenceUp.FareySequenceCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:fareysequence:BEDC.Derived.FareySequenceUp.FareySequenceCarrier_namecert_obligations:8509c8a0). Rationale: The target has real BEDC content: it constructs a SemanticNameCert for the Farey sequence approximation-read route and closes the Cont-derived UnaryHistory rows. It was isolated only because no Lean sibling consumed it, so I added FareySequenceCarrier_namecert_real_bracket_lock in the Real-facing sibling. The new theorem calls the flagged theorem directly, reuses its certificate and approxRead closure, and extends the route to the terminal sealRead with Cont/PkgSig evidence. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-03T19:35:20Z:
resolvedadd_downstream_userforBEDC.Derived.DyadicIntervalArithmeticUp.DyadicIntervalArithmeticCarrier_enclosure_soundness(flagisolated_theorem, findingisolated_theorem:dyadicintervalarithmetic:BEDC.Derived.DyadicIntervalArithmeticUp.DyadicIntervalArithmeticCarrier_enclosure_soundness:45014d39). Rationale: The theorem has real BEDC content: it projects a dyadic interval arithmetic carrier through operation and enclosure continuation rows into a packaged handoff row. The paper treats this as the main enclosure-soundness theorem, and the right resolution is to give it an explicit Lean-side consumer rather than delete it. I added DyadicIntervalArithmeticCarrier_enclosure_namecert_handoff in the NameCertObligations sibling, where the enclosure soundness theorem is invoked to build a SemanticNameCert for the downstream handoff row and expose the operation/handoff unary histories, continuation rows, and package signature. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-03T23:49:38Z:
resolvedleave_with_rationaleforBEDC.Derived.DyadicIntervalCoverUp.DyadicIntervalCoverRegularSequenceWindow_exhaustion(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.DyadicIntervalCoverUp.DyadicIntervalCoverRegularSequenceWindow_exhaustion:e9a789f7). Rationale: The target is not a trivial wrapper: it constructs a SemanticNameCert for the regular-sequence window/readback/cover/seal route and exports the derived UnaryHistory evidence, matching the paper’s regular-sequence finite-window exhaustion claim. I attempted to add a downstream consumer in DyadicIntervalCoverUp/RootRegularReadback.lean that used this theorem to continue to a named exit; lake build passed and phase_d_lint passed, but bedc_ci.py audit did not complete and a timeout-limited rerun exited 124 with no output. Per the task rule, I reverted the edit and leave the theorem with this rationale instead of shipping a change without all gates at exit 0. Gate results: lake_build=ok, audit=timeout after 180s with no output, exit 124, phase_d_lint=ok.2026-06-04T01:52:42Z:
resolvedleave_with_rationaleforsetlike(flaglow_entropy_template, findinglow_entropy_template:setlike:f67907f0:5173a1a9). Rationale: The daemon target is empty; the evidence points to the paper label thm:setlike-typelike-modeltheory-handoff rather than a Lean declaration. I found no corresponding Lean theorem in lean4/BEDC/Derived/SetlikeUp, while the paper theorem is consumed by later SetLike obligations in the same sibling file and by the extensionality refusal obligation in the chapter spine. Deleting it would remove the local routing premise that ties TypeLike, FirstOrder, and ModelTheory consumers to the SetLike membership/classifier surface; adding a Lean downstream user is not well-posed because there is no Lean target to consume. Gate results: lake_build=skipped, audit=skipped, phase_d_lint=skipped.2026-06-04T06:09:59Z:
resolvedleave_with_rationaleforBEDC.Derived.BaireMetricUp.BaireMetricObligationPrefixCompleteness(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BaireMetricUp.BaireMetricObligationPrefixCompleteness:355593a6). Rationale: Surrounding context shows this declaration is an unconsumed main-file prefix-completeness projection, with the paper marker instead pointing to the sibling theorem BEDC.Derived.BaireMetricUp.BaireMetricCarrier_obligation_prefix_completeness and a stronger consumer theorem immediately following in the same Lean file. I attempted delete_theorem after verifying no exact repo references beyond the declaration itself, but the required lake build gate exited with code -1 during full build progress and no successful gate result was available, so the deletion was reverted and the daemon should record this as a gate-blocked leave decision. Gate results: lake_build=exit code -1 during full lake build; tail showed ordinary progress through BEDC.Derived.LocatedUniformCompletionUp.TasteGate with no success exit, audit=skipped, phase_d_lint=skipped.2026-06-05T05:39:06Z:
resolvedadd_downstream_userforBEDC.Derived.LowerSemicontinuousUp.LowerSemicontinuousRegularReadback_transport(flagisolated_theorem, findingisolated_theorem:lowersemicontinuous:BEDC.Derived.LowerSemicontinuousUp.LowerSemicontinuousRegularReadback_transport:6137c810). Rationale: The theorem is not just staging: the paper already uses the regular-readback transport as part of the root-unblock route, but Lean had no downstream dependency. I connected the sibling theorem LowerSemicontinuousRootEpigraphLocatedTransport to this theorem by importing RootRegularReadbackHandoff and reusing LowerSemicontinuousRegularReadback_transport to obtain the readback and epigraph hsame transport before continuing to the located comparison certificate. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-05T08:07:08Z:
resolvedadd_downstream_userforBEDC.Derived.LowerSemicontinuousUp.LowerSemicontinuousKernelSource_obligations(flagisolated_theorem, findingisolated_theorem:lowersemicontinuous:BEDC.Derived.LowerSemicontinuousUp.LowerSemicontinuousKernelSource_obligations:6137c810). Rationale: The target is not a disposable wrapper: it packages the finite X-W-R-E kernel-source route into a SemanticNameCert, and the paper immediately uses that route conceptually as the prefix of the lowersemicontinuous NameCert scope. I added a sibling consumer, LowerSemicontinuousKernelSourceNameCertScope_handoff, in NameCertScope.lean; it calls LowerSemicontinuousKernelSource_obligations and then extends the same route through the local NameCert scope certificate. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-05T09:28:58Z:
resolvedleave_with_rationaleforBEDC.Derived.LocatedCauchyFilterBasisUp.LocatedCauchyFilterBasisCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.LocatedCauchyFilterBasisUp.LocatedCauchyFilterBasisCarrier_namecert_obligations:83e32db6). Rationale: The theorem is not a trivial wrapper: it builds a SemanticNameCert for the LocatedCauchyFilterBasis carrier and projects finite Cont/PkgSig/UnaryHistory obligations used by the paper’s NameCert obligation surface. I attempted an add_downstream_user consumer in LocatedCauchyFilterUp.BasisRefinementRoute tying that certificate to the filter-tail Real seal route, but lake build failed on that edit, so I reverted all changes as required and leave the theorem as staging-only with the failed consumer attempt recorded. Gate results: lake_build=failed: error: BEDC/Derived/LocatedCauchyFilterUp/BasisRefinementRoute.lean:88:4: Unknown identifierBEDC.Derived.LocatedCauchyFilterBasisUp; error: BEDC/Derived/LocatedCauchyFilterUp/BasisRefinementRoute.lean:84:46: unsolved goals; Some required targets logged failures: BEDC.Derived.LocatedCauchyFilterUp.BasisRefinementRoute; error: build failed, audit=skipped, phase_d_lint=skipped.2026-06-05T10:52:26Z:
resolvedadd_downstream_userforBEDC.Derived.BishopCompletionUp.BishopCompletionCarrier_filter_compatibility(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BishopCompletionUp.BishopCompletionCarrier_filter_compatibility:6137c810). Rationale: The target has real BEDC content: it uses Cont determinacy to identify the accepted filter handoff with another filter read while preserving UnaryHistory, the stream route, and package provenance. It was isolated only because no later Lean declaration consumed it, so I added a BishopCompletionUp sibling theorem that uses this compatibility as the premise for a universal-property readback over the compatible filter row. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-05T20:16:04Z:
resolvedleave_with_rationaleforBEDC.Derived.MetacicNormalizationAuditUp.MetacicNormalizationAuditCarrier_sn_scope(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.MetacicNormalizationAuditUp.MetacicNormalizationAuditCarrier_sn_scope:6137c810). Rationale: The theorem is not a vacuous wrapper: it extracts the audit-side SemanticNameCert scope and UnaryHistory audit from the frontier/sn/audit carrier route, matching the paper’s finite SN-scope theorem. I attempted to add a downstream consumer in CandidateRoutePack tying that scoped certificate to the existing closed/residual/socket/name candidate route, but the required lake build gate failed on BEDC.Derived.MetacicNormalizationAuditUp.CandidateRoutePack, so the attempted edit was reverted and the finding is left for dossier/grace rather than shipping a broken consumer. Gate results: lake_build=Some required targets logged failures: - BEDC.Derived.MetacicNormalizationAuditUp.CandidateRoutePack; error: build failed, audit=skipped, phase_d_lint=skipped.2026-06-05T21:42:16Z:
resolvedadd_downstream_userforBEDC.Derived.MetacicNormalizationAuditUp.MetacicNormalizationAuditCarrier_obligation_surface(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.MetacicNormalizationAuditUp.MetacicNormalizationAuditCarrier_obligation_surface:6137c810). Rationale: The target is not used elsewhere but carries real local NameCert content for the accepted MetacicNormalizationAuditUp obligation surface. I added a sibling consumer theorem in ObligationPack that uses the target to pair the local surface certificate with the existing public-route obligation pack, tying the staging theorem into the Cont/Pkg/UnaryHistory route instead of deleting it as a marker-only theorem. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-07T02:30:13Z:
resolvedleave_with_rationaleforBEDC.Derived.MetacicNormalizationAuditUp.MetacicNormalizationAuditCarrier_confluence_boundary(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.MetacicNormalizationAuditUp.MetacicNormalizationAuditCarrier_confluence_boundary:6137c810). Rationale: The target has real BEDC content: it extracts the confluence/refusal boundary NameCert surface from the MetacicNormalizationAudit carrier and is the checked marker for the paper theorem ‘MetaCIC normalization audit confluence boundary’. It is not merely a restatement wrapper, and the chapter uses it to separate normalization-side reads from confluence and subject-reduction siblings. I attempted to add a Lean downstream consumer in ConfluenceSocket, but lake build failed at the new consumer because SemanticNameCert.pattern_sound and ledger_sound were applied with the wrong argument shape; per instruction, I reverted the edit and leave the theorem in place with the gate failure recorded. Gate results: lake_build=failed: BEDC/Derived/MetacicNormalizationAuditUp/ConfluenceSocket.lean:115:31 and 119:30 application type mismatch in attempted downstream consumer; changes reverted, audit=skipped, phase_d_lint=skipped.2026-06-07T04:05:05Z:
resolvedadd_downstream_userforBEDC.Derived.EquicontinuityUp.EquicontinuityCarrier_uniform_modulus_handoff(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.EquicontinuityUp.EquicontinuityCarrier_uniform_modulus_handoff:6137c810). Rationale: The theorem has real BEDC content: it derives the uniformRead and handoffRead unary/Cont chain from an EquicontinuityCarrier before finite-boundary consumption. I added a sibling consumer theorem, EquicontinuityCarrier_uniform_modulus_finite_boundary_chain, which explicitly uses the flagged theorem and then extends the resulting handoff into the existing uniform-modulus finite boundary route. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-10T11:44:21Z:
resolvedadd_downstream_userforBEDC.Derived.EquicontinuityUp.EquicontinuityCarrier_uniform_modulus_consumer_boundary(flagisolated_theorem, findingisolated_theorem:equicontinuity:BEDC.Derived.EquicontinuityUp.EquicontinuityCarrier_uniform_modulus_consumer_boundary:aaa108ab). Rationale: The target is not a trivial wrapper: it packages the uniform-modulus-to-finite-boundary route with unary closure and package evidence. I connected it to the Arzela-Ascoli boundary sibling by proving a NameCert consumer that invokes this theorem, then extends the finite boundary evidence through the Arzela and terminal boundary rows. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-10T17:27:25Z:
resolvedadd_downstream_userforBEDC.Derived.EquicontinuityUp.EquicontinuityCarrier_transport_replay_provenance(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.EquicontinuityUp.EquicontinuityCarrier_transport_replay_provenance:6137c810). Rationale: The theorem is not a trivial wrapper: it constructs the consumer-row SemanticNameCert tying replay, provenance, hsame transport, and UnaryHistory for an EquicontinuityCarrier consumer boundary. Repo grep showed no prior downstream Lean consumer or paper marker for the exact target, so I added a sibling downstream theorem in UniformModulusConsumerBoundary that directly invokes it and carries the certified consumer row into a finite-boundary continuation through T. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-10T19:18:00Z:
resolvedadd_downstream_userforBEDC.Derived.EquicontinuityUp.EquicontinuityCarrier_shared_radius_obligation(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.EquicontinuityUp.EquicontinuityCarrier_shared_radius_obligation:6137c810). Rationale: The target has real BEDC content: it packages the shared-radius path into a SemanticNameCert rather than merely restating the stability theorem, but it had no Lean downstream consumer. I added EquicontinuitySharedRadiusObligationCoverConsumer in the related EquicontinuityUp shared-radius family-cover sibling; the new theorem explicitly invokes the target and combines its shared-radius certificate with a later modulus/cover-read SemanticNameCert, tying the obligation into the finite cover consumer route. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-10T20:20:48Z:
resolvedleave_with_rationaleforBEDC.Derived.EquicontinuityUp.EquicontinuityCarrier_shared_radius_obligation(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.EquicontinuityUp.EquicontinuityCarrier_shared_radius_obligation:6137c810). Rationale: The isolated_theorem finding is stale or too literal: exact fully qualified grep only finds the dossier entry, but the theorem has a real Lean downstream consumer inside the same namespace.lean4/BEDC/Derived/EquicontinuityUp/SharedRadiusFamilyCoverReadiness.leancallsEquicontinuityCarrier_shared_radius_obligationinEquicontinuitySharedRadiusObligationCoverConsumer, extractssharedCert, and combines it with a cover-consumer certificate, so the theorem is not an unused staging wrapper. The paper chapter109364_equicontinuity_namecert_construction.texalso presents both the shared-radius obligation and the downstream shared-radius family-cover readiness route. Gate results: lake_build=skipped, audit=skipped, phase_d_lint=skipped.2026-06-10T23:13:04Z:
resolvedadd_downstream_userforBEDC.Derived.EquicontinuityUp.EquicontinuityCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.EquicontinuityUp.EquicontinuityCarrier_namecert_obligations:6137c810). Rationale: The target is the paper’s primary EquicontinuityUp NameCert obligation marker and carries real BEDC content: it constructs a SemanticNameCert plus radius and handoff UnaryHistory closure, so deleting it would remove the chapter’s canonical verification anchor. I added EquicontinuityCarrier_namecert_consumer_replay as a downstream Lean consumer that invokes the target, reuses its certified handoff closure, and pushes the packet through a Cont handoffRead R consumerRead replay/provenance route to construct a second consumer-facing SemanticNameCert rather than wrapping the original theorem unchanged. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-11T00:33:24Z:
resolvedadd_downstream_userforBEDC.Derived.EquicontinuityUp.EquicontinuityCarrier_family_modulus_consumer_exhaustion(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.EquicontinuityUp.EquicontinuityCarrier_family_modulus_consumer_exhaustion:6137c810). Rationale: The target had no downstream Lean references, but it carries meaningful BEDC content by packaging the radius-to-family-to-handoff-to-consumer route with UnaryHistory, Cont, and PkgSig evidence. I added a sibling Arzela-Ascoli terminal theorem that explicitly consumes this theorem and extends its consumer route through arzelaRead and terminalRead into a terminal SemanticNameCert. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-11T05:37:02Z:
resolvedadd_downstream_userforBEDC.Derived.SchurOrthogonalityUp.SchurOrthogonalityCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.SchurOrthogonalityUp.SchurOrthogonalityCarrier_namecert_obligations:a9f7a9b0). Rationale: The target is not a disposable wrapper: it is the Lean certificate for the local SchurOrthogonality NameCert surface described in the chapter. Its isolation was real at Lean-use level, so I added a sibling downstream theorem that consumes it together with the character-pairing route, returning both the local NameCert certificate and the exported route certificate for a downstream read. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-12T03:56:08Z:
resolvedadd_downstream_userforBEDC.Derived.EquicontinuityUp.EquicontinuityCarrier_compact_net_radius_exactness(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.EquicontinuityUp.EquicontinuityCarrier_compact_net_radius_exactness:6137c810). Rationale: The target is not just a trivial wrapper: it packages the compact-net handoff with unary closure, the original radius route, the handoff route, and compact-net package provenance. Repo search showed no Lean downstream consumer before this change, while the paper marker was the only project-level reference. I added a finite-net boundary consumer theorem that calls the target directly, then replays the compact-net read into a consumer boundary and packages that route as a SemanticNameCert. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-12T05:43:09Z:
resolvedadd_downstream_userforBEDC.Derived.SubjectReductionDischargeLedgerUp.SubjectReductionDischargeLedgerCarrier_route_handoff(flagisolated_theorem, findingisolated_theorem:subjectreductiondischargeledger:BEDC.Derived.SubjectReductionDischargeLedgerUp.SubjectReductionDischargeLedgerCarrier_route_handoff:957b0bb7). Rationale: The target is structurally meaningful: it packages the carrier route/replay handoff, unary closure for routeRead and replayRead, and provenance/replay package facts. Repo search initially showed no downstream use, so I made the sibling theorem SubjectReductionDischargeLedgerSubjectReductionHandoff consume this handoff directly instead of reproving the same carrier decomposition. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-12T07:13:29Z:
resolvedleave_with_rationaleforBEDC.Derived.MetricProjectionUp.MetricProjectionCarrier_obligation_carrier_stability(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.MetricProjectionUp.MetricProjectionCarrier_obligation_carrier_stability:acf7b076). Rationale: The target is not a pure restatement: it packages componentwise hsame transport of the MetricProjection carrier rows together with a transported projection-facing read, Cont evidence, and PkgSig provenance. Grep found only the paper primary marker and the Lean declaration, so I attempted add_downstream_user by adding a public-read certificate consumer in the same MetricProjection carrier surface, but the required lake build gate failed on BEDC.Derived.MetricProjectionUp after that edit. Per task contract I reverted the edit and switched to leave_with_rationale; the theorem remains legitimate carrier-stability content but still needs a compiling downstream consumer. Gate results: lake_build=Some required targets logged failures: - BEDC.Derived.MetricProjectionUp; focused error included tabs not allowed at MetricProjectionUp.lean:306:0 and an unsolved goal in MetricProjectionCarrier_public_projection_certificate after the attempted edit., audit=skipped, phase_d_lint=skipped.2026-06-12T08:54:09Z:
resolvedadd_downstream_userforBEDC.Derived.MetricProjectionUp.MetricProjectionCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.MetricProjectionUp.MetricProjectionCarrier_namecert_obligations:acf7b076). Rationale: The target is not a disposable wrapper: it constructs the root SemanticNameCert surface for the MetricProjection carrier and exposes the carrier’s Cont and PkgSig obligations used by the chapter’s NameCert obligation theorem. Grep showed no prior Lean downstream user beyond the paper marker, so I added MetricProjectionCarrierEndpointAdmissionCertificate in the same MetricProjection family; it calls the flagged theorem directly, carries its root certificate forward, and builds a consumer-facing SemanticNameCert through the endpoint transport/replay route E -> T -> R -> N -> consumerRead. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-12T10:23:19Z:
resolvedleave_with_rationaleforBEDC.Derived.MetricProjectionUp.MetricProjectionCarrier_public_projection_certificate(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.MetricProjectionUp.MetricProjectionCarrier_public_projection_certificate:47a87ee0). Rationale: The declaration has real BEDC content: it builds a SemanticNameCert for the public projection read and is the paper primary marker for the MetricProjection public projection certificate. Lean currently has no downstream consumer. The natural consumer is the CatZeroProjectionUp chapter, but a local add_downstream_user implementation failed the lake gate because the temporary consumer supplied endpointRoute : Cont M T endpointRead where MetricProjectionCarrier_public_projection_certificate expected Cont M M endpointRead. The edit was removed, so no file changes remain and the gate failure is recorded here instead of deleting the meaningful certificate. Gate results: lake_build=error: BEDC.Derived.CatZeroProjectionUp: endpointRoute has type Cont M T endpointRead but expected Cont M M endpointRead; build failed, audit=skipped, phase_d_lint=skipped.2026-06-12T12:10:39Z:
resolvedadd_downstream_userforBEDC.Derived.MetricProjectionUp.MetricProjectionCarrier_locatedset_endpoint_separation(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.MetricProjectionUp.MetricProjectionCarrier_locatedset_endpoint_separation:acf7b076). Rationale: The target carries real BEDC content: it separates the LocatedSet-facing D-I located endpoint from the projection-facing I-W endpoint while preserving package provenance, and the paper uses it as the MetricProjection endpoint-separation boundary. I added MetricProjectionCarrier_public_projection_separated_certificate as a downstream consumer that invokes this theorem and combines its separated route/provenance facts with the existing public projection SemanticNameCert, so the original theorem is no longer staging-only or isolated. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-12T13:57:37Z:
resolveddelete_theoremforBEDC.Derived.MetricProjectionUp.MetricProjectionCarrier_endpoint_separation(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.MetricProjectionUp.MetricProjectionCarrier_endpoint_separation:acf7b076). Rationale: The target had no downstream Lean consumers and the only repository reference outside its declaration was a removable paper marker. Its content was a local route/unary/provenance projection, while the neighboring MetricProjectionCarrier_locatedset_endpoint_separation carries the paper’s endpoint-separation claim and is the theorem consumed by MetricProjectionCarrier_public_projection_separated_certificate, so deleting the isolated wrapper preserves the meaningful BEDC structure. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-12T15:23:10Z:
resolvedleave_with_rationaleforBEDC.Derived.MetricProjectionUp.MetricProjectionCarrier_closest_point_nonescape(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.MetricProjectionUp.MetricProjectionCarrier_closest_point_nonescape:acf7b076). Rationale: The theorem has meaningful MetricProjection nonescape content and is used in the paper chapter as the closest-point boundary supporting later carrier-stability, endpoint-admission, and public-projection arguments, though exact full-qualified grep found no Lean downstream refs. I attempted add_downstream_user by adding a same-file public projection certificate that explicitly consumed the theorem, but the required lake build failed on BEDC.Derived.MetricProjectionUp withUnknown identifier carrier; per instruction I reverted the change and leave the theorem unchanged. Gate results: lake_build=Some required targets logged failures:BEDC.Derived.MetricProjectionUp error: build failed BEDC/Derived/MetricProjectionUp.lean:417:65: error(lean.unknownIdentifier): Unknown identifier
carrier, audit=skipped, phase_d_lint=skipped.2026-06-12T17:12:31Z:
resolvedadd_downstream_userforBEDC.Derived.CoveringdimensionUp.CoveringDimensionFiniteEpsilonNetCarrier(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CoveringdimensionUp.CoveringDimensionFiniteEpsilonNetCarrier:acf7b076). Rationale: The target has real BEDC content: it derives a finite epsilon-net/cover/sample SemanticNameCert and UnaryHistory sample from the covering-dimension carrier plus the epsilonNet-cover Cont route. Full-name grep found no existing downstream Lean or paper references, while the surrounding paper has a root-cover theorem for the same finite epsilon-net carrier theme. I added a sibling consumer theorem that calls the target and then pushes the sample through a refinement Cont route to a refinedSample NameCert, so the original theorem now supports a downstream refinement-facing handoff rather than standing as an isolated staging theorem. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-12T18:29:06Z:
resolvedleave_with_rationaleforBEDC.Derived.CoveringdimensionUp.CoveringDimensionCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CoveringdimensionUp.CoveringDimensionCarrier_namecert_obligations:acf7b076). Rationale: The target is not a vacuous wrapper: it builds the carrier-level SemanticNameCert for the CoveringDimensionCarrier local-name row, is the primary paper marker in the coveringdimension NameCert chapter, and sits before many sibling carrier consumers in the same row family. Grep found only the paper marker and no Lean downstream use, so I attempted an add_downstream_user in RootScopeLedger tying this certificate to the root-scope ledger route; lake build rejected that added theorem with a Lean type/proof mismatch and exited 1. Per instruction, I reverted the attempted edit and leave the theorem as legitimate staging-only content rather than deleting a real carrier certificate. Gate results: lake_build=failed after attempted downstream user: CoveringDimensionCarrierNameCertRootScopeLedger elaboration/type mismatch in RootScopeLedger; error: Lean exited with code 1, audit=skipped, phase_d_lint=skipped.2026-06-12T22:21:36Z:
resolvedadd_downstream_userforBEDC.Derived.BooleanalgebraUp.BooleanAlgebraCarrier_stone_source_lattice_determinacy(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BooleanalgebraUp.BooleanAlgebraCarrier_stone_source_lattice_determinacy:059e3300). Rationale: The theorem is real Booleanalgebra content rather than a removable wrapper: it packages the Stone-source/lattice determinacy route with a Stone-read package signature, distinct from the local-name handoff surface. I added a downstream Booleanalgebra sibling consumer that uses this determinacy theorem together with the existing Stone-duality forward route, tying the source/lattice certificate to the outgoing Stone consumer surface. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-13T00:04:16Z:
resolvedadd_downstream_userforBEDC.Derived.BooleanalgebraUp.BooleanAlgebraCarrier_stone_duality_handoff(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BooleanalgebraUp.BooleanAlgebraCarrier_stone_duality_handoff:059e3300). Rationale: The target is not a trivial wrapper: it packages the extra Stone-to-provenance handoff row and proves both the Stone read and concrete handoff read are unary, which is distinct from the existing forward route. I addedBooleanAlgebraStoneHandoffForwardConsumer, a sibling consumer that uses the target together with the existing forward-route theorem, so the handoff certificate and Stone-source certificate are consumed by one downstream Booleanalgebra route. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-13T02:38:52Z:
resolvedleave_with_rationaleforBEDC.Derived.BooleanalgebraUp.BooleanAlgebraCarrier_stone_duality_forward_route(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BooleanalgebraUp.BooleanAlgebraCarrier_stone_duality_forward_route:059e3300). Rationale: The finding is stale rather than a true isolated-theorem case. The exact fully-qualified grep has no hits because Lean consumers refer to the theorem unqualified insideBEDC.Derived.BooleanalgebraUp, while the paper marker escapes underscores. Reading the surrounding Lean file shows two substantive downstream consumers:BooleanAlgebraStoneSourceLatticeForwardConsumerandBooleanAlgebraStoneHandoffForwardConsumerboth callBooleanAlgebraCarrier_stone_duality_forward_routeand combine its Stone-read certificate with separate source-determinacy or handoff certificates. The theorem also matches the BooleanAlgebra paper route into the StoneDuality chapter, so deleting or staging it would remove active BEDC structure. Gate results: lake_build=skipped, audit=skipped, phase_d_lint=skipped.2026-06-13T03:55:04Z:
resolvedleave_with_rationaleforBEDC.Derived.BooleanalgebraUp.BooleanAlgebraCarrier_namecert_obligation_surface(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BooleanalgebraUp.BooleanAlgebraCarrier_namecert_obligation_surface:059e3300). Rationale: The target is not a trivial wrapper: it constructs the local BooleanAlgebra SemanticNameCert obligation surface and returns endpoint/order Cont evidence used by the paper narrative. Exact grep for the fully qualified unescaped name found no Lean downstream consumers; the paper references it via escaped marker/autoref. I attempted to add a substantive StoneDuality downstream consumer, but lake build failed because the BooleanAlgebra obligation endpoint chain usesCont endpoint one replay, while the StoneDuality source interface expects different zero/one and meet/join row shapes. Per instructions I reverted the attempted Lean and paper edits; this should remain staging-only until a purpose-built BooleanAlgebra-to-StoneDuality bridge aligns those row interfaces. Gate results: lake_build=error: BEDC/Derived/StoneDualityUp.lean:59:60: Application type mismatch: endpointOne has type Cont endpoint one booleanSource but expected Cont endpoint one replay; additional mismatches: obligation projections used where UnaryHistory join/order expected, Cont join meet order expected as Cont meet join order, and Cont endpoint one booleanSource expected as Cont zero one booleanSource., audit=skipped, phase_d_lint=skipped.2026-06-13T05:37:34Z:
resolvedadd_downstream_userforBEDC.Derived.SequentialCompactUp.SequentialCompactCarrier_real_seal_nonescape(flagisolated_theorem, findingisolated_theorem:sequentialcompact:BEDC.Derived.SequentialCompactUp.SequentialCompactCarrier_real_seal_nonescape:8cd7f86a). Rationale: The target is a real BEDC carrier projection used by the paper’s Real seal nonescape claim, but grep showed no Lean downstream consumer. I addedSequentialCompactRealSealConsumerNonescapeCertificatein the Real seal consumer boundary sibling; it explicitly invokes the target and lifts its route/provenance facts into aSemanticNameCertboundary through the local NameCert row, so the original theorem is no longer isolated and is not merely restated. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-13T07:41:32Z:
resolveddelete_theoremforBEDC.Derived.RegularCauchyReciprocalUp.TasteGate.RegularCauchyReciprocalTasteGate_single_carrier_alignment(flagisolated_theorem, findingisolated_theorem:regularcauchyreciprocal:BEDC.Derived.RegularCauchyReciprocalUp.TasteGate.RegularCauchyReciprocalTasteGate_single_carrier_alignment:8cd7f86a). Rationale: The target was an isolated aggregate wrapper over existing private decode/round-trip/injectivity facts plus an rfl empty-encoding fact; repository search found no Lean downstream consumer, and the only paper reference was a removable marker on the readback-route theorem. The surrounding chapter already has more substantive checked route, apartness, denominator, seal, and dependency-lock theorems, so deleting this wrapper removes staging-only surface without losing BEDC content. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-13T09:17:16Z:
resolvedleave_with_rationaleforBEDC.Derived.RegularCauchyReciprocalUp.TasteGate.RegularCauchyReciprocalCarrier_apartness_window(flagisolated_theorem, findingisolated_theorem:regularcauchyreciprocal:BEDC.Derived.RegularCauchyReciprocalUp.TasteGate.RegularCauchyReciprocalCarrier_apartness_window:8cd7f86a). Rationale: The target is not just an empty wrapper: it exposes the carrier rows, apartness row membership, dyadic row membership, round-trip carrier decoding, and the nonempty BMark encoding witness, and the paper uses it as the primary Lean marker for the apartness-window theorem. I attempted to add a downstream sibling consumer inRegularCauchyReciprocalUp/NonzeroDenominatorWindow.lean, tying the carrier-level apartness window to the existingSemanticNameCertnonzero-denominator route, but the requiredlake buildgate failed on that edit withUnknown identifier BHistCarrier.fromEventFlow; per task instructions I reverted the edit and switched toleave_with_rationale. Gate results: lake_build=error: BEDC/Derived/RegularCauchyReciprocalUp/NonzeroDenominatorWindow.lean:96:34: Unknown identifierBHistCarrier.fromEventFlow; Some required targets logged failures: BEDC.Derived.RegularCauchyReciprocalUp.NonzeroDenominatorWindow; error: build failed, audit=skipped, phase_d_lint=skipped.2026-06-13T12:14:46Z:
resolvedleave_with_rationaleforBEDC.Derived.ProductMetricUp.ProductMetricCarrier_realup_consumer_package(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.ProductMetricUp.ProductMetricCarrier_realup_consumer_package:8cd7f86a). Rationale: The theorem is a real ProductMetricUp RealUp consumer package rather than a trivial wrapper: it records the component-distance read, product real read, hsame alignment, continuation rows, and package provenance, and the paper chapter marks it as the RealUp consumer surface. I attempted to wire it into the existing ProductMetricCarrier_real_classifier_bridge sibling as a downstream consumer, but the required lake build failed on BEDC.Derived.ProductMetricUp.BridgeCertificate with an unknown identifier ‘carrier’ in that edit; per instruction the edit was reverted and the finding is left with this rationale. Gate results: lake_build=FAIL: Some required targets logged failures: BEDC.Derived.ProductMetricUp.BridgeCertificate; local tail: BridgeCertificate.lean:40:51: error(lean.unknownIdentifier): Unknown identifier ‘carrier’, audit=skipped, phase_d_lint=skipped.2026-06-13T21:52:19Z:
resolveddelete_theoremforBEDC.Derived.SequentialCompactUp.SequentialCompactPublicNamecertRoute(flagisolated_theorem, findingisolated_theorem:sequentialcompact:BEDC.Derived.SequentialCompactUp.SequentialCompactPublicNamecertRoute:7e7d8d7e). Rationale: Deleted the isolated theorem because exact repo grep showed no Lean or paper consumers, and the chapter’s public NameCert route is already represented by the surviving checked target BEDC.Derived.SequentialCompactUp.SequentialCompactPublicNameCertCarrierRows. The removed declaration was an unused near-duplicate route wrapper in the same file, while downstream paper and Lean context use the carrier-rows theorem instead. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-14T19:42:44Z:
resolvedadd_downstream_userforBEDC.Derived.CauchyQuotientBoundaryUp.CauchyQuotientBoundaryCarrier_refusal_factorization(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchyQuotientBoundaryUp.CauchyQuotientBoundaryCarrier_refusal_factorization:0fd51ff6). Rationale: The target is not a disposable wrapper: it formalizes the Cauchy quotient boundary refusal route already stated in the concrete chapter, but it had no Lean-side consumer beyond the paper marker. I added a LocatedRealInterval sibling consumer that first records the located interval endpoint/radius/dyadic/locator/modulus/bracket route and then invokes this target to factor the downstream Cauchy quotient boundary read through the existing refusal route. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-15T03:05:20Z:
resolveddelete_theoremforBEDC.Derived.SequentialCompactUp.SequentialCompactPublicNameCertRoute(flagisolated_theorem, findingisolated_theorem:sequentialcompact:BEDC.Derived.SequentialCompactUp.SequentialCompactPublicNameCertRoute:7e7d8d7e). Rationale: The target was an isolated public-route wrapper with no downstream Lean references and no paper marker; grep found only the declaration itself. The sequentialcompact chapter already marks and uses the stronger sibling theorem BEDC.Derived.SequentialCompactUp.SequentialCompactPublicNameCertCarrierRows for the public NameCert route, so deleting the unused wrapper removes staging-only surface without losing the checked paper claim. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-15T04:56:36Z:
resolvedadd_downstream_userforBEDC.Derived.RegularCauchyLocatedOrderUp.RegularCauchyLocatedOrderCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:regularcauchylocatedorder:BEDC.Derived.RegularCauchyLocatedOrderUp.RegularCauchyLocatedOrderCarrier_namecert_obligations:0df9ad3a). Rationale: The target has real BEDC content: it projects the RegularCauchyLocatedOrder carrier into UnaryHistory, Cont, and PkgSig obligation rows, but grep showed no Lean consumer and only the paper marker referenced it. I added a downstream RealTightness consumer because that chapter explicitly carries a RegularCauchyLocatedOrder row; the new theorem consumes the flagged obligation projection while tying it to the RealTightness field surface. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-15T06:36:57Z:
resolvedadd_downstream_userforBEDC.Derived.ProductMetricUp.ProductMetricCarrier_projection_route_exactness(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.ProductMetricUp.ProductMetricCarrier_projection_route_exactness:8cd7f86a). Rationale: The target is not a trivial wrapper: it establishes exact hsame identities for the displayed product row and both projection reads, plus unary closure and package provenance. It was only referenced by the paper marker, so I added a substantive downstream bridge consumer in the ProductMetricUp bridge sibling. The new theorem uses ProductMetricCarrier_projection_route_exactness together with the existing Real classifier bridge to tie projection exactness into the MetricSpace-facing bridge surface. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-15T08:22:36Z:
resolvedadd_downstream_userforBEDC.Derived.ProductMetricUp.ProductMetricCarrier_standard_metricspace_bridge_certificate(flagisolated_theorem, findingisolated_theorem:productmetric:BEDC.Derived.ProductMetricUp.ProductMetricCarrier_standard_metricspace_bridge_certificate:42e7c050). Rationale: The target is not a disposable wrapper: it combines the scoped ProductMetric SemanticNameCert with the Real classifier bridge transport for the standard MetricSpace-facing product bridge. It was isolated only because the paper consumed it in prose while Lean had no downstream theorem using it. I added ProductMetricCarrier_public_metricspace_bridge_consumer in the same sibling file; it calls the target and combines it with ProductMetricCarrier_public_metricspace_export to bind the standard bridge certificate to both productRealRead and publicDistance transport/provenance. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-15T10:08:39Z:
resolvedadd_downstream_userforBEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_regular_name_handoff_obligation(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_regular_name_handoff_obligation:42e7c050). Rationale: The theorem is not merely a wrapper: it packages the regular-name handoff through R,Q,N and preserves the carrier transport row, but grep showed no downstream Lean consumer. I added CauchySpaceCarrier_regular_name_real_consumer_boundary in the same CauchySpaceUp row family; it explicitly invokes the flagged theorem, then extends the named handoff into the Real-consumer row T via a displayed Cont route, so the original obligation now has a substantive sibling consumer. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-15T11:48:55Z:
resolvedleave_with_rationaleforBEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_regseqrat_uniform_obligation(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_regseqrat_uniform_obligation:42e7c050). Rationale: The theorem is not a pure wrapper: it specializes the CauchySpace carrier’s filter-uniform interface to the local RegSeqRat readback route, producing replay/R0 sameness, transport, and named-row continuity, and the CauchySpace paper chapter uses it as the RegSeqRat uniform obligation in later public-boundary arguments. I attempted add_downstream_user in the UniformCauchyCriterion RegSeqRat consumer sibling, but the required lake build failed on the edited module with tabs and unsolved goals, so I reverted the edit per instructions; a local rebuild of that module after revert succeeded. Removing the theorem would lose a real local route node, so it should remain as staging until a clean sibling consumer is added. Gate results: lake_build=failed after attempted edit: BEDC.Derived.UniformCauchyCriterionUp.RegSeqRatUniformConsumerExhaustion; tabs are not allowed at lines 46-48 and unsolved goals at line 32; changes reverted, audit=skipped, phase_d_lint=skipped.2026-06-15T13:38:16Z:
resolvedadd_downstream_userforBEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_real_completion_consumer(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_real_completion_consumer:42e7c050). Rationale: The target has real BEDC content: it packages the CauchySpace filter-uniform replay, regular rational readback, local naming row, and Real-facing read into a completion-consumer boundary, and the paper already uses that boundary conceptually in the following precompletion discussion. Grep showed no Lean downstream references, so I added a substantive same-chapter consumer, BEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_real_completion_provenance_route, which explicitly calls the target and extends the Real read through the provenance/name route instead of merely restating it. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-15T15:21:38Z:
resolvedadd_downstream_userforBEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_public_consumer_boundary(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_public_consumer_boundary:42e7c050). Rationale: The target has real BEDC content: it packages the local CauchySpace filter carrier and precompletion factorization into the public completion-facing read boundary, and the paper immediately relies on that boundary for the public completion interface. Rather than deleting a live interface theorem, I added a sibling theoremCauchySpaceCarrier_public_completion_interfacethat explicitly consumesCauchySpaceCarrier_public_consumer_boundaryand extends the public read to a terminal completion-facing route. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-15T17:11:32Z:
resolvedadd_downstream_userforBEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_precompletion_nonescape_obligation(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_precompletion_nonescape_obligation:42e7c050). Rationale: The target carries real BEDC content: it isolates the precompletion handoff from regular-name data to completion-facing consumers and prevents that handoff from being treated as quotient completion, choice, host equality, or ambient completeness. The paper already uses this obligation in the public CauchySpace interface narrative, but Lean had no downstream consumer. I addedCauchySpaceCarrier_precompletion_terminal_interfacein the existing sibling file, which explicitly invokes the target and extends its handoff through provenance, local naming, and terminal consumer routes. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-15T19:03:32Z:
resolveddelete_theoremforBEDC.Derived.RealEqualityUp.RealEqualityCarrier_scoped_kernel_route(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.RealEqualityUp.RealEqualityCarrier_scoped_kernel_route:8996eb3b). Rationale: The target had no downstream Lean users and only appeared as a removable paper marker. Its Lean content was a weaker restatement of the adjacent public boundary theorem, which keeps the same carrier, continuation, provenance, and boundary rows while additionally exposing classifierRead; retaining the isolated scoped route would duplicate the route surface without adding a consumer or distinct BEDC obligation. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-15T20:50:36Z:
resolvedleave_with_rationaleforBEDC.Derived.RealEqualityUp.RealEqualityCarrier_namecert_boundary(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.RealEqualityUp.RealEqualityCarrier_namecert_boundary:8996eb3b). Rationale: The target is an isolated intermediate NameCert boundary and is weaker than the adjacent RealEqualityCarrier_public_boundary, so delete_theorem was the right local action after grep showed no remaining Lean users beyond paper markers. I implemented that deletion and updated the paper closure target, but the required lake build gate failed in an unrelated target, BEDC.Derived.IntervalHalvingUp.DyadicNestedHandoff. Per instruction, I reverted the edits and am leaving the theorem unchanged so the daemon can record the gate-blocked resolution attempt. Gate results: lake_build=failed: Some required targets logged failures: BEDC.Derived.IntervalHalvingUp.DyadicNestedHandoff; error: build failed, audit=skipped, phase_d_lint=skipped.2026-06-15T22:53:32Z:
resolvedadd_downstream_userforBEDC.Derived.RealEqualityUp.RealEqualityCarrier_classifier_stability(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.RealEqualityUp.RealEqualityCarrier_classifier_stability:8996eb3b). Rationale: The target has real BEDC content: it transports a RealEquality carrier through refined finite-window classifier data using Cont, hsame, UnaryHistory, and PkgSig. It was not safe to delete because the paper uses it as the classifier-stability claim, but Lean had no downstream consumer. I added DyadicTailBallRealEqualityClassifierConsumer as a sibling consumer that invokes RealEqualityCarrier_classifier_stability, then feeds the resulting equality route into the existing DyadicTailBallRealEqualityConsumer certificate path. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-16T00:49:03Z:
resolvedadd_downstream_userforBEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_obligation_coverage_route(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_obligation_coverage_route:42e7c050). Rationale: The target is not a staging-only stub: it packages the local CauchySpace carrier’s filter, regular, completion, ledger, transport, and route obligations into a real obligation-coverage surface already cited by the paper. Grep showed no Lean downstream user, so I addedCauchySpaceCarrier_coverage_public_readbackin the public completion interface sibling, which substantively consumes the target and extends it to public-readback and terminal rows. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-16T02:33:28Z:
resolvedleave_with_rationaleforBEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_namecert_ledger(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_namecert_ledger:42e7c050). Rationale: The target has real BEDC content: it packages the local CauchySpace NameCert ledger route from the local filter-uniform read through R0,T0, the ledger row, provenance P0, and local name N0, and the paper cites it as the CauchySpace NameCert ledger. Grep showed no existing Lean downstream consumer. I attempted add_downstream_user in the existing public completion sibling, but the required lake build failed on the edited module with tabs and unsolved goals in PublicCompletionInterface.lean; I reverted the edit per instructions and confirmed the reverted file compiles locally with lake env lean. Removing the theorem would lose a legitimate local ledger boundary, so it should remain while a clean downstream consumer is added later. Gate results: lake_build=failed after attempted edit: BEDC.Derived.CauchySpaceUp.PublicCompletionInterface; tabs are not allowed at lines 122-125 and unsolved goals at line 101; changes reverted, audit=skipped, phase_d_lint=skipped.2026-06-16T04:24:00Z:
resolvedadd_downstream_userforBEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_filter_uniform_real_consumer_obligation(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_filter_uniform_real_consumer_obligation:42e7c050). Rationale: The target has real BEDC content: it proves the filter-uniform replay into a Real read across the CauchySpace carrier, rather than merely restating an existing theorem. It was isolated because no Lean theorem consumed it downstream, so I added a public readback theorem in the CauchySpace public interface that invokes this obligation and continues the route through provenance and Real-consumer rows. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-16T06:21:49Z:
resolvedadd_downstream_userforBEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_filter_uniform_completion_nonescape(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_filter_uniform_completion_nonescape:42e7c050). Rationale: The target is not a staging-only wrapper: it packages the filter-uniform replay through the completion-facing route while preserving both the regular-name comparison hsame replay R0 and the CauchySpace transport row. It had a paper marker but no downstream Lean consumer, so I added a sibling public readback theorem that invokes it and extends the route through the local NameCert and terminal transport boundary. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-16T07:55:43Z:
resolvedleave_with_rationaleforBEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_filter_uniform_compatibility(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_filter_uniform_compatibility:42e7c050). Rationale: The target has real BEDC content: it packages the filter-uniform route through C and P into unary and Cont evidence, and the paper chapter uses it as the CauchySpace filter-uniform compatibility claim. Exact source grep found no downstream source consumer, so I attempted an add_downstream_user in PublicCompletionInterface, but the required lake build failed on the edited target file; per instructions I reverted the change and left the theorem unchanged. Gate results: lake_build=failed: Some required targets logged failures: BEDC.Derived.CauchySpaceUp.PublicCompletionInterface; lake env lean reported tabs in the edited region and an unsolved goal around CauchySpaceCarrier_filter_uniform_real_public_readback, audit=skipped, phase_d_lint=skipped.2026-06-16T09:41:21Z:
resolveddelete_theoremforBEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_filter_stability(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySpaceUp.CauchySpaceCarrier_filter_stability:42e7c050). Rationale: The target had no downstream Lean consumers, and repo search after the edit found no remaining references to it. Its conclusion is only a weak projection of the CauchySpace carrier surface already covered by the stronger CauchySpaceCarrier_uniform_regseq_interface, so deleting the declaration and its paper marker removes an isolated verification target without losing the active CauchySpace interface content. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-17T20:33:53Z:
resolveddelete_theoremforBEDC.Derived.GroundLoopBoundaryUp.GroundLoopBoundaryCarrier_public_interface(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.GroundLoopBoundaryUp.GroundLoopBoundaryCarrier_public_interface:4e2b5593). Rationale: The declaration was an unconsumed wrapper with the same statement as GroundLoopBoundaryCarrier_scoped_kernel_route and its proof was only exact GroundLoopBoundaryCarrier_scoped_kernel_route carrier. Repo search showed no Lean downstream users; the only source-level paper reference was the removable marker in the GroundLoopBoundary chapter. The surrounding chapter still retains the public-interface prose, backed by the scoped kernel route and mature consumer exhaustion theorem. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-17T22:24:40Z:
resolvedadd_downstream_userforBEDC.Derived.GroundLoopBoundaryUp.GroundLoopBoundaryCarrier_scoped_kernel_route(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.GroundLoopBoundaryUp.GroundLoopBoundaryCarrier_scoped_kernel_route:198b0f1a). Rationale: The target has real BEDC content: it packages the carrier’s primitive msame rows with the composed Cont route and hsame name rows, and the paper’s scoped-kernel theorem relies on that surface. Repo search showed it was isolated except for the paper marker and its own proof chain, so I added a sibling TasteGate consumer theorem that constructs the concrete GroundLoopBoundaryUp carrier, uses GroundLoopBoundaryCarrier_scoped_kernel_route, ties it to FieldFaithful.fields, and closes the displayed mark conservativity through ChapterTasteGate.conservativity. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-18T00:21:17Z:
resolveddelete_theoremforBEDC.Derived.GroundLoopBoundaryUp.GroundLoopBoundaryTasteGate_single_carrier_alignment(flagisolated_theorem, findingisolated_theorem:groundloopboundary:BEDC.Derived.GroundLoopBoundaryUp.GroundLoopBoundaryTasteGate_single_carrier_alignment:7ce439bb). Rationale: The target was an isolated aggregate over existing local codec facts: BHist decode/encode, EventFlow round trip, injectivity, BMark exhaustiveness, and empty-history encoding. Repo search found no Lean downstream consumer, and the only paper reference was the removable NameCert-obligations marker. The surrounding GroundLoopBoundary chapter still retains the substantive checked surfaces through meta non-escape, scoped kernel routing, and the existing downstream scoped-kernel consumer, so deleting this wrapper removes unconsumed staging surface without losing BEDC content. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-18T02:20:40Z:
resolvedleave_with_rationaleforBEDC.Derived.GroundLoopBoundaryUp.GroundLoopBoundaryCarrier_meta_nonescape(flagisolated_theorem, findingisolated_theorem:groundloopboundary:BEDC.Derived.GroundLoopBoundaryUp.GroundLoopBoundaryCarrier_meta_nonescape:7ce439bb). Rationale: The target is not a pure duplicate: it records the TasteGate/EventFlow mark non-escape surface for GroundLoopBoundaryUp, while the surrounding root carrier theorems cover scoped kernel routing, public interface, and mature consumer exhaustion. I attempted to add a downstream TasteGate/kernel consumer that used this theorem together with GroundLoopBoundaryCarrier_scoped_kernel_route, but the required lake build gate failed in the edited target file; per instruction I reverted the change and leave the theorem unchanged with this rationale. Gate results: lake_build=failed: Some required targets logged failures: BEDC.Derived.GroundLoopBoundaryUp.TasteGate; BEDC/Derived/GroundLoopBoundaryUp/TasteGate.lean:315:7: error: unexpected token ‘meta’; expected ‘(’, ‘:=’, ‘|’ or term, audit=skipped, phase_d_lint=skipped.2026-06-18T11:18:54Z:
resolveddelete_theoremforBEDC.Derived.Arzela_ascoli_finite_modulusUp.ArzelaAscoliFiniteModulusCarrier_route_closure(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.Arzela_ascoli_finite_modulusUp.ArzelaAscoliFiniteModulusCarrier_route_closure:bc1c2873). Rationale: The flagged theorem was an unconsumed route-closure wrapper over ArzelaAscoliFiniteModulusCarrier in the underscore-named Derived file. Full-repo grep found no references to the fully qualified target, the concrete chapter uses the canonical BEDC.Derived.ArzelaAscoliFiniteModulusUp markers plus the sibling CompactmetricForwardRoute marker, and the same file keeps the substantive downstream theorem BEDC.Derived.Arzela_ascoli_finite_modulusUp.ArzelaAscoliFiniteModulusCompactmetricForwardRoute. Removing the isolated wrapper leaves the carrier and consumed forward route intact. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-19T04:20:40Z:
resolvedadd_downstream_userforBEDC.Derived.CalculusUp.CalculusRootDerivativeIntegralCarrier_admission(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CalculusUp.CalculusRootDerivativeIntegralCarrier_admission:ed392a37). Rationale: The target has real BEDC content: it admits the root derivative-integral carrier by deriving a SemanticNameCert for derivative and integral read rows plus their UnaryHistory closure. Repo grep found no existing downstream Lean use and no paper marker for the full target, so deleting would discard a useful carrier admission. I added a sibling consumer theorem, CalculusRiemannIntegralRootCarrierDependencyRoute, in the Riemann integral dependency route file; it explicitly uses the admission to obtain derivative/integral read closure, then extends that into a shared read and Real-facing route certificate. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-19T08:34:40Z:
resolveddelete_theoremforBEDC.Derived.FilterLimitBasisUp.FilterLimitBasisTasteGate_single_carrier_alignment(flagisolated_theorem, findingisolated_theorem:filterlimitbasis:BEDC.Derived.FilterLimitBasisUp.FilterLimitBasisTasteGate_single_carrier_alignment:dd551166). Rationale: The declaration was an isolated public wrapper around existing local implementation facts: the BHist encode/decode round trip, existing BHistCarrier and ChapterTasteGate instances, and the empty encoding by rfl. Repository search found no Lean downstream consumers and only the removable paper marker, while the chapter already has substantive checked targets for NameCert obligations and CauchyFilterCompletion handoff. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-20T01:19:14Z:
resolvedleave_with_rationaleforBEDC.Derived.CauchyContinuousMapUp.CauchyContinuousMap_modulus_boundary_nonescape(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchyContinuousMapUp.CauchyContinuousMap_modulus_boundary_nonescape:16133241). Rationale: The theorem is not a paper-only stray: the CauchyContinuousMap chapter has a primary leanchecked marker for it and later paper proofs use it as the modulus-facing boundary step before the uniform-window and uniform-modulus factorization claims. I attempted to add a Lean downstream consumer in the sibling UniformWindowObligation module, but the required lake build gate failed on BEDC.Derived.CauchyContinuousMapUp.UniformWindowObligation after the full project build reached the final stage, so I reverted the edit per instruction and am leaving the theorem with rationale rather than changing files. Gate results: lake_build=Some required targets logged failures: - BEDC.Derived.CauchyContinuousMapUp.UniformWindowObligation; error: build failed, audit=skipped, phase_d_lint=skipped.2026-06-20T19:19:50Z:
resolvedleave_with_rationaleforBEDC.Derived.StepIndexedTotalHostUp.StepIndexedTotalHostCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.StepIndexedTotalHostUp.StepIndexedTotalHostCarrier_namecert_obligations:40d18d90). Rationale: The theorem has real BEDC content: it constructs the local SemanticNameCert surface for the StepIndexedTotalHost carrier and exposes the carrier’s unary, Cont, and Pkg obligations, so deleting it would remove the paper’s canonical NameCert obligation target. I attempted to add a substantive downstream consumer in the separation sibling, but the required gate failed on BEDC.Derived.StepIndexedTotalHostUp.Separation because the new theorem referenced SemanticNameCert without that name being available in the sibling namespace/import context; per instruction, I reverted the edit and left the target unchanged. Gate results: lake_build=Some required targets logged failures:BEDC.Derived.StepIndexedTotalHostUp.Separation BEDC/Derived/StepIndexedTotalHostUp/Separation.lean:43:10: error: Function expected at SemanticNameCert; Hint: The identifier
SemanticNameCertis unknown error: build failed, audit=skipped, phase_d_lint=skipped.2026-06-20T20:54:03Z:
resolvedadd_downstream_userforBEDC.Derived.LocatedCompactnessUp.LocatedCompactnessCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:locatedcompactness:BEDC.Derived.LocatedCompactnessUp.LocatedCompactnessCarrier_namecert_obligations:08fe9837). Rationale: The target is not a trivial wrapper: it constructs a SemanticNameCert for the located compactness carrier and is the Lean counterpart of the paper’s NameCert obligations theorem. It had no downstream Lean consumer, so I added a sibling bridge theorem in LocatedCompactUp that explicitly calls this NameCert obligation, reads its ledger_sound field, and packages the resulting local NameCert row into a LocatedCompactCarrier handoff. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-20T22:44:03Z:
resolvedadd_downstream_userforBEDC.Derived.NetConvergenceUp.NetConvergenceCarrier_tail_window_admission(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.NetConvergenceUp.NetConvergenceCarrier_tail_window_admission:9c4efedc). Rationale: The target is not a disposable wrapper: it extracts the displayed tail-window route through D,T,E,F,S from the NetConvergence carrier, and the paper uses that route as part of the later boundary and ledger nonescape story. It had no Lean consumer, so I added a sibling RealSealNonescape theorem that calls it directly and bridges the admitted tail window into a SemanticNameCert for the Real-seal route. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-21T00:33:12Z:
resolvedadd_downstream_userforBEDC.Derived.NetConvergenceUp.NetConvergenceCarrier_stream_readback_route(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.NetConvergenceUp.NetConvergenceCarrier_stream_readback_route:9c4efedc). Rationale: The theorem carries real BEDC content: it isolates the F-to-S-to-R-to-L Real-facing readback route that the paper later uses in the boundary readback theorem. Source grep showed no existing Lean consumer, so I added a downstream dependency by making NetConvergenceCarrier_boundary_readback call NetConvergenceCarrier_stream_readback_route and use its projected Cont rows in the SemanticNameCert ledger and returned boundary package. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-21T02:42:25Z:
resolvedadd_downstream_userforBEDC.Derived.NetConvergenceUp.NetConvergenceCarrier_sequentialcompact_dependency(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.NetConvergenceUp.NetConvergenceCarrier_sequentialcompact_dependency:9c4efedc). Rationale: The target has real BEDC content: it packages a NetConvergence carrier plus displayed Cont routing into a SemanticNameCert for a cluster-facing read, and the existing NetClusterPoint chapter explicitly names its neighbourhood-hit row as a NetConvergenceUp interface. I added a NetClusterPoint sibling consumer theorem that invokes the isolated theorem directly and ties the resulting certificate to the NetClusterPoint finite-row surface, then marked that consumer in the NetClusterPoint paper chapter. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-21T04:32:50Z:
resolveddelete_theoremforBEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerClassifier_refl(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerClassifier_refl:d2955ab8). Rationale: The theorem was an isolated reflexivity wrapper that only repackaged a single accepted carrier with componentwise hsame_refl fields into BoundedNormalEqualityCheckerClassifier. Exact repository grep found no Lean or paper consumer, the chapter only marks the classifier definition and stronger downstream boundary theorems, and the surrounding file already carries substantive classifier-stability, deterministic-readback, ledger, public-export, and bridge-facing results. Removing it loses no downstream BEDC content. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-21T06:05:04Z:
resolvedadd_downstream_userforBEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_scope_closure(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_scope_closure:d2955ab8). Rationale: The target is not a vacuous wrapper: it constructs the package-read SemanticNameCert and ledger surface for bounded normal equality. It had no Lean downstream consumer, so I added a MetaCICDecidableBoundary sibling theorem that uses this scope-closure theorem to hand the checker package row into the decidable-boundary sibling provenance surface, tying the result to a separate BEDC carrier instead of leaving it isolated. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-21T07:38:01Z:
resolvedadd_downstream_userforBEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_obligation_package(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_obligation_package:d2955ab8). Rationale: The target is not a trivial restatement: it packages carrier rows, package-read continuation closure, and provenance/namecert package signatures for the bounded normal-equality checker. Exact full-name grep found no downstream Lean consumer, so I added a same-chapter public-consumer theorem that explicitly calls this obligation package and carries its package-read facts into the public-read boundary, then added the matching paper theorem and marker. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-21T09:04:28Z:
resolvedleave_with_rationaleforBEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_namecert_ledger_read_boundary(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_namecert_ledger_read_boundary:d2955ab8). Rationale: The target has real BEDC content: it consumes the local SemanticNameCert obligations and exposes the concrete local-read pattern and ledger boundary for the bounded normal-equality checker, matching the paper’s ledger exactness theorem rather than merely restating carrier fields. I attempted add_downstream_user by adding a MetaCICDecidableBoundary sibling handoff theorem that explicitly called this target, but the required lake build ultimately failed on BEDC.Derived.MetaCICDecidableBoundaryUp.SiblingProvenance after the full build reached the final dependency sweep. Per instruction, I reverted the attempted change and switched to leave_with_rationale with no file changes. Gate results: lake_build=Some required targets logged failures: - BEDC.Derived.MetaCICDecidableBoundaryUp.SiblingProvenance; error: build failed, audit=skipped, phase_d_lint=skipped.2026-06-21T10:44:11Z:
resolvedadd_downstream_userforBEDC.Derived.ClosedObservationSystemUp.ClosedObservationSystemCarrier_gap_socket_package(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.ClosedObservationSystemUp.ClosedObservationSystemCarrier_gap_socket_package:162e3462). Rationale: The target has real BEDC content: it projects a ClosedObservationSystem carrier into conservation and GAP unary closure, continuation routes, transport, provenance package, and GAP package evidence. It was only paper-marked and not consumed by Lean code, so I added a sibling downstream theorem in ObservationConservationLedgerUp that calls it directly and uses its projected evidence to build a SemanticNameCert handoff from the closed-observation GAP socket into a conservation-ledger read. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-21T12:30:55Z:
resolvedadd_downstream_userforBEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_fuel_monotonicity(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_fuel_monotonicity:d2955ab8). Rationale: The target is not staging-only or a trivial leftover: its surrounding chapter treats bounded normal equality checker fuel monotonicity as a real boundary claim, and the Lean theorem carries substantive fuel-plus route, continuation, package, and unary-history content. I added a sibling consumer theorem in MetaCICDecidableBoundaryUp that invokes the target directly and combines its fuel monotonicity output with existing sibling provenance, SemanticNameCert, PkgSig, Cont, and UnaryHistory structure. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-21T13:54:58Z:
resolvedleave_with_rationaleforBEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_finished_soundness_boundary(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_finished_soundness_boundary:d2955ab8). Rationale: The theorem has meaningful BEDC content: it derives unary closure for the equality-read and finished-read rows, preserves the displayed Cont readback routes, and exposes only the bounded checker provenance rather than a global conversion oracle. I attempted to add a downstream consumer in MetaCICDecidableBoundaryUp/SiblingProvenance.lean tying this finished boundary into the boundary carrier’s bounded/finished rows and sibling provenance, but the required gate failed on that added theorem, so the change was reverted as instructed. The target should remain for now as legitimate near-term handoff material for a MetaCIC decidable-boundary consumer rather than being deleted. Gate results: lake_build=failed: Some required targets logged failures: BEDC.Derived.MetaCICDecidableBoundaryUp.SiblingProvenance; lean error tail: Unknown identifierBEDC.Derived.BoundedNormalEqualityCheckerUpin attempted downstream theorem, audit=skipped, phase_d_lint=skipped.2026-06-21T15:29:33Z:
resolvedadd_downstream_userforBEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_deterministic_normal_form_readback(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_deterministic_normal_form_readback:d2955ab8). Rationale: The target theorem carries real BEDC content: it packages normal-left, normal-right, equality, finished-readback, route, and provenance facts from the bounded checker carrier. A sibling consumer in MetaCICDecidableBoundaryUp now uses it to hand readback evidence into the boundary provenance certificate, so the theorem is no longer isolated. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-21T17:23:56Z:
resolvedadd_downstream_userforBEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_consumer_nonescape(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_consumer_nonescape:d2955ab8). Rationale: The target theorem has real BEDC content: it packages the bounded normal equality checker consumer boundary into concrete UnaryHistory, Cont, and PkgSig rows, but it previously had no downstream Lean caller beyond the paper marker. I added MetaCICDecidableBoundary_bounded_checker_consumer_handoff in the MetaCIC decidable boundary sibling provenance file, where related checker scope, fuel, and readback handoffs already live; the new theorem uses the target theorem directly and connects its non-escape result to boundary sibling provenance through the bounded finished-read row. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-21T19:02:20Z:
resolvedleave_with_rationaleforBEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_classifier_stability_row(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BoundedNormalEqualityCheckerUp.BoundedNormalEqualityCheckerCarrier_classifier_stability_row:d2955ab8). Rationale: The theorem has real BEDC content: it transports the accepted BoundedNormalEqualityChecker carrier’s componentwise classifier rows into UnaryHistory evidence plus provenance, and the paper chapter treats it as part of the checker surface rather than a disposable wrapper. I attempted to add a downstream MetaCICDecidableBoundary sibling handoff consuming it, but the required lake build failed on BEDC.Derived.MetaCICDecidableBoundaryUp.SiblingProvenance, so I reverted the attempted change per instruction and leave the target with this rationale. Gate results: lake_build=error: build failed; Some required targets logged failures: BEDC.Derived.MetaCICDecidableBoundaryUp.SiblingProvenance. Local lean error tail: Unknown identifierBEDC.Derived.BoundedNormalEqualityCheckerUpat SiblingProvenance.lean:299:4, followed by unsolved goals., audit=skipped, phase_d_lint=skipped.2026-06-21T20:27:53Z:
resolvedleave_with_rationaleforBEDC.Derived.NetConvergenceUp.NetConvergenceCarrier_moore_smith_filter_boundary(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.NetConvergenceUp.NetConvergenceCarrier_moore_smith_filter_boundary:9c4efedc). Rationale: The theorem is not a vacuous wrapper: it records the finite Moore–Smith source route, CauchyFilter route, structural rows H,C,P,M, and carrier field boundary used by the paper-side filterbase finality argument. I attempted to add a Lean downstream Real-seal boundary consumer in the sibling NetConvergenceUp/RealSealNonescape file, but the required lake build gate failed at the end with BEDC.Derived.NetConvergenceUp.RealSealNonescape, so the attempted edit was reverted as instructed. Gate results: lake_build=Some required targets logged failures: - BEDC.Derived.NetConvergenceUp.RealSealNonescape; error: build failed, audit=skipped, phase_d_lint=skipped.2026-06-21T22:02:00Z:
resolvedadd_downstream_userforBEDC.Derived.NetConvergenceUp.NetConvergenceCarrier_moore_smith_dependency(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.NetConvergenceUp.NetConvergenceCarrier_moore_smith_dependency:9c4efedc). Rationale: The target has real BEDC content: it projects the Moore–Smith source route, filter handoff route, Real-facing route, and NetConvergence carrier field ledger, and the paper uses that dependency in later handoff and mature package arguments. It had no Lean consumer, so I added NetConvergenceCarrier_moore_smith_real_seal_handoff in the RealSealNonescape sibling; the new theorem calls the target directly and uses its extracted rows to build a SemanticNameCert tying Moore–Smith source evidence to the Real-seal handoff. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-21T23:52:02Z:
resolvedadd_downstream_userforBEDC.Derived.NetConvergenceUp.NetConvergenceCarrier_ledger_nonescape(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.NetConvergenceUp.NetConvergenceCarrier_ledger_nonescape:9c4efedc). Rationale: The theorem is not a disposable wrapper: it records the full NetConvergence carrier ledger, the three Cont route segments, and consumer same-source evidence. The exact repo search showed no Lean downstream user before this change, while the paper chapter already treats ledger nonescape as part of the NetConvergence to downstream consumer route. I added a sibling NetClusterPoint consumer theorem that explicitly calls NetConvergenceCarrier_ledger_nonescape and ties the resulting finite ledger to the NetClusterPoint neighbourhood-hit carrier fields. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-22T01:38:13Z:
resolvedadd_downstream_userforBEDC.Derived.CauchySchwarzRealUp.CauchySchwarzRealCarrier_norm_bound_handoff(flagisolated_theorem, findingisolated_theorem:cauchyschwarzreal:BEDC.Derived.CauchySchwarzRealUp.CauchySchwarzRealCarrier_norm_bound_handoff:a0aa65be). Rationale: The norm-bound handoff carries real BEDC content by extending the finite Cauchy-Schwarz dyadic square route through the transport row to a norm-facing consumer boundary, and the chapter’s inner-product bound already depends on that route. I added a sibling Lean consumer in InnerproductBound.lean that calls the handoff and exposes the norm-read UnaryHistory, package signature, self hsame, transport edge, and provenance package to downstream consumers. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-22T03:23:10Z:
resolvedadd_downstream_userforBEDC.Derived.CauchySchwarzRealUp.CauchySchwarzRealCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:cauchyschwarzreal:BEDC.Derived.CauchySchwarzRealUp.CauchySchwarzRealCarrier_namecert_obligations:a0aa65be). Rationale: The target is not a disposable wrapper: it constructs the SemanticNameCert surface for the CauchySchwarzReal carrier, and the paper uses it as the chapter closure target. It had no Lean-side consumer, so I added CauchySchwarzRealInnerproductBound_namecert_consumer in the sibling InnerproductBound module, where the inner-product boundary route now explicitly calls the NameCert obligations theorem and combines that certificate with the downstream bound route. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-22T05:03:03Z:
resolvedadd_downstream_userforBEDC.Derived.CauchySchwarzRealUp.CauchySchwarzRealCarrier_dyadic_square_handoff(flagisolated_theorem, findingisolated_theorem:cauchyschwarzreal:BEDC.Derived.CauchySchwarzRealUp.CauchySchwarzRealCarrier_dyadic_square_handoff:a0aa65be). Rationale: The handoff carries the finite dyadic-square route from vector source through scalar, square, readback, and Real seal rows, so deleting it would remove actual BEDC route content. I added a sibling NameCert-facing consumer in the inner-product-bound file that depends on this handoff and combines it with the carrier NameCert obligations, making the previously isolated theorem a real downstream premise. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-22T06:39:43Z:
resolvedadd_downstream_userforBEDC.Derived.AxiomRefusalLedgerUp.AxiomRefusalLedger_noninternalization(flagisolated_theorem, findingisolated_theorem:axiomrefusalledger:BEDC.Derived.AxiomRefusalLedgerUp.AxiomRefusalLedger_noninternalization:23b6e15b). Rationale: AxiomRefusalLedger_noninternalization is not staging-only or a trivial restatement: it constructs the accepted-read SemanticNameCert for the audit-to-accepted continuation. Added AxiomRefusalLedger_accepted_readback_consumer as a sibling Lean consumer that invokes it and exports the downstream consumer-read certificate, tying the noninternalization row to Cont, PkgSig, UnaryHistory, and SemanticNameCert. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-22T08:20:58Z:
resolveddelete_theoremforBEDC.Derived.TaylorModelUp.TaylorModelJetLedger_finite_transport(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.TaylorModelUp.TaylorModelJetLedger_finite_transport:93eae5d0). Rationale: The target had no downstream Lean users and only appeared as a removable paper marker; its statement was an unconsumed existence wrapper aroundappend jet eval, while the same chapter already uses the substantive finite-jet consumer routeTaylorModelFiniteJet_transportinTaylorModelUp/TasteGate.lean. Deleting it removes isolated staging-only surface without losing the TaylorModel carrier, finite-jet, interval-remainder, or public-package content. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-22T10:02:29Z:
resolveddelete_theoremforBEDC.Derived.TaylorModelUp.TaylorModelDisplayedFiniteJetSubwindow_admission(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.TaylorModelUp.TaylorModelDisplayedFiniteJetSubwindow_admission:93eae5d0). Rationale: The declaration was an unconsumed admission wrapper for the displayed finite-jet subwindow: exact grep found no fully qualified references, no paper marker pointed to it, and the same file already contains the stronger carrier-level TaylorModelCarrier_finite_jet_prefix_restriction plus downstream remainder-obligation routes. Removing it preserves the meaningful TaylorModel surface while eliminating an isolated staging theorem. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-22T11:42:09Z:
resolvedadd_downstream_userforBEDC.Derived.TaylorModelUp.TaylorModelCarrier_validated_consumer_boundary(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.TaylorModelUp.TaylorModelCarrier_validated_consumer_boundary:93eae5d0). Rationale: The theorem has meaningful BEDC content: it packages the validated-consumer boundary by deriving consumer UnaryHistory from the TaylorModel carrier and the endpoint-to-validated consumer route while preserving ledger, eval, provenance, and nameCert evidence. Exact repo inspection showed no Lean downstream caller before this change, while the paper treats the boundary as part of the TaylorModel public package. I added the same-family theorem TaylorModelCarrier_validated_consumer_namecert_handoff in the remainder-obligation sibling; it explicitly invokes the flagged boundary theorem and carries its evidence into a publicRead SemanticNameCert surface tied to Cont, PkgSig, UnaryHistory, hsame, provenance, and nameCert rows. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-22T13:16:05Z:
resolvedadd_downstream_userforBEDC.Derived.TaylorModelUp.TaylorModelCarrier_seed_public_package(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.TaylorModelUp.TaylorModelCarrier_seed_public_package:93eae5d0). Rationale: The target is a meaningful TaylorModel public-package theorem: it packages a coefficient read, consumer closure, ledger/eval hsame rows, and endpoint/provenance/nameCert package rows from the carrier and consumer route. Grep showed no prior Lean consumer, only the paper marker and its declaration, so I added a sibling downstream theoremTaylorModelCarrier_seed_public_namecert_routeinRemainderObligationRoute.leanthat explicitly invokes this target and carries its package data into aSemanticNameCertpublic-read route. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-22T14:55:45Z:
resolvedadd_downstream_userforBEDC.Derived.TaylorModelUp.TaylorModelCarrier_interval_remainder_soundness(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.TaylorModelUp.TaylorModelCarrier_interval_remainder_soundness:93eae5d0). Rationale: The target is not a removable wrapper: it transports the displayed remainder row through hsame, closes the replacement readback and endpoint by Cont, and preserves the endpoint package signature for the TaylorModel interval-remainder surface. It was isolated in Lean, with only the paper marker referencing it, so I added a sibling downstream theorem, TaylorModelCarrier_interval_remainder_namecert_handoff, that consumes this soundness theorem to build a SemanticNameCert handoff for an interval remainder public read through the validated row. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-22T16:21:32Z:
resolvedleave_with_rationaleforBEDC.Derived.TaylorModelUp.TaylorModelCarrier_finite_jet_prefix_restriction(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.TaylorModelUp.TaylorModelCarrier_finite_jet_prefix_restriction:93eae5d0). Rationale: The theorem is not a trivial wrapper: it is the Lean target for the TaylorModel finite-jet prefix restriction proposition, and the paper uses it to justify the displayed subwindow read surface before the finite-jet remainder obligation route. I attempted to add a sibling consumer in TaylorModelUp/RemainderObligationRoute.lean tying this theorem into the existing SemanticNameCert remainder route, but lake build failed because the added proof used the reserved tokenprefix; per task instructions I reverted the edit and switched to leave_with_rationale, preserving the existing staging theorem for a clean downstream consumer. Gate results: lake_build=error: BEDC/Derived/TaylorModelUp/RemainderObligationRoute.lean:114:7: unexpected token ‘prefix’; expected ‘(’, ‘:=’, ‘|’ or term; Some required targets logged failures: BEDC.Derived.TaylorModelUp.RemainderObligationRoute, audit=skipped, phase_d_lint=skipped.2026-06-23T08:28:48Z:
resolvedleave_with_rationaleforBEDC.Derived.MetaCICCriticalPathUp.MetaCICCriticalPathCandidateFrontierAxiomBoundary(flagisolated_theorem, findingisolated_theorem:metaciccriticalpath:BEDC.Derived.MetaCICCriticalPathUp.MetaCICCriticalPathCandidateFrontierAxiomBoundary:b433cc6b). Rationale: The target declaration was inspected in CandidateFrontierAxiomBoundary.lean, the metaciccriticalpath chapter hub and sibling files were read, and repo search found no downstream Lean or paper use of the full target; the paper uses the sibling MetaCICCriticalPathCandidateFrontierAxiomFrontier theorem instead. I initially removed the isolated theorem, but the required audit gate failed on an unrelated pre-existing duplicate paper marker for BEDC.Derived.RieszRepresentationUp.RieszRepresentationScopeBinding, so I reverted the deletion exactly as instructed and leave the finding for daemon logging. Gate results: lake_build=interrupted after audit failure; no Lean error observed before stop, audit=FAIL: duplicate / X for BEDC.Derived.RieszRepresentationUp.RieszRepresentationScopeBinding at parts/concrete_instances/100143_rieszrepresentation_namecert_construction.tex:139 and :147, phase_d_lint=ok.2026-06-23T19:16:45Z:
resolveddelete_theoremforBEDC.Derived.TaylorModelUp.TaylorModelCarrier_endpoint_closure(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.TaylorModelUp.TaylorModelCarrier_endpoint_closure:93eae5d0). Rationale: The theorem was an unconsumed wrapper around TaylorModelCarrier field projection plus unary closure along the recorded Cont routes. Full-name grep found no paper marker or Lean use, while the chapter’s checked public surface is carried by the NameCert obligation, interval-remainder soundness, validated consumer boundary, seed package, and remainder route declarations; the endpoint closure content is already rebuilt directly inside the NameCert obligation theorem. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-23T20:54:11Z:
resolvedadd_downstream_userforBEDC.Derived.AxiomRefusalLedgerUp.AxiomRefusalLedger_namecert_obligations(flagisolated_theorem, findingisolated_theorem:axiomrefusalledger:BEDC.Derived.AxiomRefusalLedgerUp.AxiomRefusalLedger_namecert_obligations:23b6e15b). Rationale: The target is the chapter’s main NameCert obligation and carries real BEDC content by packaging the semantic NameCert surface with the three readback histories, so deleting it would remove the canonical Lean witness behind the paper marker. I added a sibling consumer theorem in AcceptedReadbackConsumer.lean that explicitly invokes the target, extracts its SemanticNameCert surface through semanticNameCert_pattern_ledger_witness, and exposes the resulting audit surface together with the name, alternative, and audit readback histories. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-24T04:58:24Z:
resolvedadd_downstream_userforBEDC.Derived.GroundCompilerEventFlowAuditRouteUp.GroundCompilerEventFlowAuditRouteCarrier_non_evidence_boundary(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.GroundCompilerEventFlowAuditRouteUp.GroundCompilerEventFlowAuditRouteCarrier_non_evidence_boundary:f2d5b7cf). Rationale: The target has meaningful BEDC content: it builds the non-evidence SemanticNameCert boundary and exposes the Cont route from nonEvidence through transport to replay. I added GroundCompilerEventFlowAuditRouteNonEvidenceGateSeparation in the existing NonEvidenceBoundary sibling, using the flagged theorem together with the channel lossless boundary to state a combined separation between non-evidence rows and certificate-gate evidence rows. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-24T21:10:43Z:
resolveddelete_theoremforBEDC.Derived.AnalogyCertificateGateUp.AnalogyCertificateGateCarrier_falsifiable_prediction(flagisolated_theorem, findingisolated_theorem:analogycertificategate:BEDC.Derived.AnalogyCertificateGateUp.AnalogyCertificateGateCarrier_falsifiable_prediction:3b08a466). Rationale: The target was an unconsumed carrier-level theorem: repo search found no Lean users and only one removable paper marker, while the chapter already has the canonical checked falsifiable-prediction theorem BEDC.Derived.AnalogyCertificateGateUp.AnalogyCertificateGateFalsifiablePrediction. Deleting the isolated wrapper removes duplicate verification surface without losing the chapter’s substantive falsifiable-prediction content. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-24T22:58:14Z:
resolvedadd_downstream_userforBEDC.Derived.CauchyQuotientBoundaryUp.CauchyQuotientBoundaryCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchyQuotientBoundaryUp.CauchyQuotientBoundaryCarrier_namecert_obligations:9825c416). Rationale: The theorem is not a staging-only wrapper: it is the Lean target for the Cauchy quotient boundary NameCert obligation site and extracts the quotient/refusal/dyadic/window/readback/seal obligation surface from the accepted carrier. I added a downstream consumer in LocatedRealIntervalUp that routes a located interval bracket read into the CauchyQuotientBoundary carrier and explicitly invokes this theorem to export the quotient-facing NameCert surface alongside the located interval route. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-25T00:32:12Z:
resolvedleave_with_rationaleforBEDC.Derived.LocatedRealIntervalUp.LocatedRealIntervalCarrier_cauchy_quotient_boundary_route(flagisolated_theorem, findingisolated_theorem:locatedrealinterval:BEDC.Derived.LocatedRealIntervalUp.LocatedRealIntervalCarrier_cauchy_quotient_boundary_route:b4cfb73e). Rationale: The theorem is not a vacuous wrapper: it composes the located-real-interval endpoint/radius route with CauchyQuotientBoundaryCarrier_refusal_factorization and matches the paper’s quotient-boundary route claim. Source grep found no Lean downstream consumer beyond the declaration, while paper usage is the expected primary marker. I attempted add_downstream_user in the ExactnessRoute sibling, but the required lake build failed on the new theorem with a syntax/unsolved-goal error in BEDC.Derived.LocatedRealIntervalUp.ExactnessRoute, so the change was reverted per instruction and this is left as staging-only for a future clean consumer. Gate results: lake_build=failed: BEDC/Derived/LocatedRealIntervalUp/ExactnessRoute.lean:218:47 unexpected identifier; expected ‘}’; unsolved goals in added downstream theorem; build target BEDC.Derived.LocatedRealIntervalUp.ExactnessRoute failed, audit=skipped, phase_d_lint=skipped.2026-06-25T02:55:01Z:
resolvedadd_downstream_userforBEDC.Derived.LocatedRealIntervalUp.LocatedRealIntervalCarrier_cauchy_quotient_boundary_route(flagisolated_theorem, findingisolated_theorem:locatedrealinterval:BEDC.Derived.LocatedRealIntervalUp.LocatedRealIntervalCarrier_cauchy_quotient_boundary_route:b4cfb73e). Rationale: The theorem carries meaningful quotient-boundary content for the located real interval construction rather than merely restating an existing result. It was isolated because no Lean sibling consumed it, so I added a downstream exactness/namecert surface theorem in the same LocatedRealIntervalUp family that uses this target together with the existing exactness route to connect the bracket SemanticNameCert surface to the Cauchy quotient boundary seal and provenance package. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-26T06:26:03Z:
resolvedleave_with_rationaleforBEDC.Derived.SubdifferentialUp.SubdifferentialTasteGate_single_carrier_alignment(flagisolated_theorem, findingisolated_theorem:subdifferential:BEDC.Derived.SubdifferentialUp.SubdifferentialTasteGate_single_carrier_alignment:aa85bdaa). Rationale: The target has no current Lean downstream references beyond its declaration and the paper marker, but it is not a vacuous wrapper: it packages the SubdifferentialUp BHist encode/decode round trip, the BHistCarrier instance, the ChapterTasteGate instance, and the empty-history encoding anchor used by the chapter’s finite certificate surface. The paper explicitly positions the subdifferential carrier as feeding KKT stationarity through cone-boundary rows, so removing it would discard useful staging content. A KKT downstream consumer was attempted, but local lake build failed at BEDC.Derived.KKTUp.StationarityTransport, so the edit was reverted per instruction and the theorem is left with rationale for daemon grace. Gate results: lake_build=failed after attempted downstream consumer: Some required targets logged failures: - BEDC.Derived.KKTUp.StationarityTransport; error: build failed, audit=skipped, phase_d_lint=skipped.2026-06-26T09:11:19Z:
resolveddelete_theoremforBEDC.Derived.LocatednessModulusUp.LocatednessModulusCarrier_window_transport(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.LocatednessModulusUp.LocatednessModulusCarrier_window_transport:be28d6e1). Rationale: The declaration had no downstream Lean users: exact-name grep found only its own declaration and the paper verification marker. Its content is a weaker projection of the carrier and continuation closure, while the same file already carries Real-seal, decision-budget, and public-export theorems that cover the meaningful BEDC route. I removed the unconsumed Lean theorem and its paper marker. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-26T11:03:26Z:
resolveddelete_theoremforBEDC.Derived.HostPrimitiveLeakageUp.HostPrimitiveLeakageTasteGate_single_carrier_alignment(flagisolated_theorem, findingisolated_theorem:hostprimitiveleakage:BEDC.Derived.HostPrimitiveLeakageUp.HostPrimitiveLeakageTasteGate_single_carrier_alignment:8d8dc35c). Rationale: The theorem was an isolated packaging wrapper over existing local instances and helper facts for the HostPrimitiveLeakage carrier; exact repo grep found no Lean or paper consumers beyond its own declaration and the removable paper marker. The chapter’s substantive checked rows are already carried by HostPrimitiveLeakageNonescape, HostPrimitiveLeakagePublicExport, HostPrimitiveLeakageReportRowRefusal, and taste_gate, so keeping this alignment theorem would preserve no additional downstream BEDC content. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-26T12:50:05Z:
resolveddelete_theoremforBEDC.Derived.LocatednessModulusUp.LocatednessModulusCarrier_real_seal_non_escape(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.LocatednessModulusUp.LocatednessModulusCarrier_real_seal_non_escape:be28d6e1). Rationale: The target was an unconsumed thin wrapper around BEDC.Derived.LocatednessModulusUp.LocatednessModulusRealSeal_nonescape: it invoked the existing theorem, repackaged the seal unary fact, and returned the provenance package assumption it had already received. Grep confirmed no Lean downstream usage and only the removable paper marker referenced it, while the paper theorem remains covered by the adjacent canonical LocatednessModulusRealSeal_nonescape marker. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-26T14:41:47Z:
resolveddelete_theoremforBEDC.Derived.LocatednessModulusUp.LocatednessModulusRealSeal_nonescape(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.LocatednessModulusUp.LocatednessModulusRealSeal_nonescape:b3f12732). Rationale: The target had no Lean downstream users: exact-name search found only its own declaration plus a historical dossier mention, not a code dependency. The paper marker was removable, and the same chapter/file already retains the stronger LocatednessModulusObligationWindowDecisionBudget and LocatednessModulusCarrier_public_export theorems, which cover the meaningful Real-seal and public route content. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-26T17:40:27Z:
resolvedadd_downstream_userforBEDC.Derived.QuasiMetricUp.QuasiMetricCarrier_nonescape(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.QuasiMetricUp.QuasiMetricCarrier_nonescape:8d8dc35c). Rationale: The target is not a trivial wrapper: it constructs the SemanticNameCert non-escape boundary for completion-facing quasi-metric reads. Repository search found no Lean downstream consumer, only the existing paper marker, so I added a substantive sibling consumer theorem that invokes QuasiMetricCarrier_nonescape and then exports a named completion-consumer certificate through a further Cont route. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-26T22:56:28Z:
resolvedadd_downstream_userforBEDC.Derived.LogicContradictionMetaLoopUp.LogicContradictionMetaLoopCarrier_nonescape(flagisolated_theorem, findingisolated_theorem:logiccontradictionmetaloop:BEDC.Derived.LogicContradictionMetaLoopUp.LogicContradictionMetaLoopCarrier_nonescape:90f91566). Rationale: The target is not a trivial wrapper: it projects a LogicContradictionMetaLoop carrier through explicit Cont and PkgSig consumer routes to preserve nonescape evidence. Initial repo search found no downstream Lean consumer, while the ObservationLogicBoundaryUp chapter already depends on LogicContradictionMetaLoopUp as its logic/meta-loop sibling. I added a handoff theorem there that consumes the target theorem to bind the observation boundary field packet to the imported nonescape route evidence. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-27T02:51:28Z:
resolvedleave_with_rationaleforBEDC.Derived.LogicContradictionMetaLoopUp.LogicContradictionMetaLoopCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:logiccontradictionmetaloop:BEDC.Derived.LogicContradictionMetaLoopUp.LogicContradictionMetaLoopCarrier_namecert_obligations:90f91566). Rationale: The target has real BEDC content: it projects the LogicContradictionMetaLoop carrier and derives the intermediate UnaryHistory obligations for metaRefusal, replay, and provenance from the Cont chain. The paper chapter uses it as the NameCert obligations site, and the surrounding nonescape theorems conceptually depend on that surface even though Lean did not yet consume the exact theorem name. I attempted to add a sibling downstream consumer in NameCertObligations.lean, but the required lake build did not reach a clean terminal state: after compiling through 13299/13302 targets it stalled for an extended period on an unrelated Window6EdgeCokernelClock.lean build process, so I interrupted it and reverted the attempted edit as instructed. Gate results: lake_build=interrupted after extended stall at 13299/13302; active Lean process was compiling unrelated BEDC/Derived/Window6EdgeCokernelClock.lean, audit=skipped, phase_d_lint=skipped.2026-06-27T14:22:46Z:
resolvedadd_downstream_userforBEDC.Derived.LogicContradictionMetaLoopUp.LogicContradictionMetaLoopCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:logiccontradictionmetaloop:BEDC.Derived.LogicContradictionMetaLoopUp.LogicContradictionMetaLoopCarrier_namecert_obligations:90f91566). Rationale: The target is not staging-only or a trivial wrapper: it extracts the NameCert obligation surface from the carrier and derives the hidden unary closure for metaRefusal, replay, and provenance. It was isolated because sibling nonescape code re-derived those facts directly from the carrier. I added LogicContradictionMetaLoopCarrier_obligation_route in the sibling NameCertObligations file, making it consume the flagged theorem and combine those obligations with routeRead/gateRead continuations and package evidence; the existing nonescape theorem now goes through that route theorem. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-28T06:10:46Z:
resolvedadd_downstream_userforBEDC.Derived.BaireOneFunctionUp.BaireOneFunctionCarrier_public_export(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BaireOneFunctionUp.BaireOneFunctionCarrier_public_export:93ddb164). Rationale: The target was only referenced by the paper marker and had no Lean downstream user, but it carries real BEDC content: it derives the publicRead unary row plus the carrier route and package obligations from the BaireOneFunction carrier. I added a sibling locality-boundary theorem that invokes this export and builds a SemanticNameCert public-read boundary, so the theorem is now consumed by a related BaireOneFunctionUp locality structure rather than remaining isolated. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-28T08:28:54Z:
resolvedadd_downstream_userforBEDC.Derived.BaireOneFunctionUp.BaireOneFunctionCarrier_pointwise_schedule_obligations(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BaireOneFunctionUp.BaireOneFunctionCarrier_pointwise_schedule_obligations:93ddb164). Rationale: The target carries real BEDC content: it exports the H-row schedule SemanticNameCert plus the visible pointwise schedule ledger, and the paper explicitly uses it to justify oscillation locality. I added a sibling theorem in OscillationLocality that directly consumes the target and combines its schedule certificate with the existing oscillation locality certificate, so the theorem now has a substantive Lean downstream user in the same BHist row family. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-28T10:05:41Z:
resolvedleave_with_rationaleforBEDC.Derived.BaireOneFunctionUp.BaireOneFunctionCarrier_pointwise_limit_ledger(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BaireOneFunctionUp.BaireOneFunctionCarrier_pointwise_limit_ledger:93ddb164). Rationale: The target is not a vacuous wrapper: it packages the Real value-seal row R as a SemanticNameCert with the displayed X,F,S,Q,R pattern and exports UnaryHistory R plus Cont S Q R. The paper chapter uses it as the checked pointwise-limit ledger claim, and downstream prose depends on that claim, but Lean has no current downstream reference. I attempted an add_downstream_user consumer in the OscillationLocality sibling tying the limit ledger to the oscillation boundary; however the required lake build gate failed on BEDC.Derived.BaireOneFunctionUp.OscillationLocality with Unknown identifiercarrier, so the attempted edit was reverted per daemon instructions. Gate results: lake_build=error: BEDC/Derived/BaireOneFunctionUp/OscillationLocality.lean:194:38: Unknown identifiercarrier; error: build failed, audit=skipped, phase_d_lint=skipped.2026-06-28T12:07:41Z:
resolvedleave_with_rationaleforBEDC.Derived.BaireOneFunctionUp.BaireOneFunctionCarrier_namecert_obligation_surface(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BaireOneFunctionUp.BaireOneFunctionCarrier_namecert_obligation_surface:93ddb164). Rationale: 该定理不是空壳包装：它从 BaireOneFunctionCarrier、Cont S Q endpoint 与 PkgSig bundle endpoint pkg 构造实际 SemanticNameCert，并推出 UnaryHistory endpoint，paper 中也作为 NameCert obligation surface 的 primary marker 使用；当前检索显示没有 Lean 下游消费者。曾尝试在 OscillationLocality sibling 中加入 downstream user，但必跑 gatecd lean4 && lake build失败，错误为新增 theorem 内 destructuring 后继续使用已消耗的carrier，因此按任务规则撤回改动并转为 leave_with_rationale。 Gate results: lake_build=failed: BEDC.Derived.BaireOneFunctionUp.OscillationLocality; Unknown identifier carrier at OscillationLocality.lean:204:38, audit=skipped, phase_d_lint=skipped.2026-06-28T14:20:03Z:
resolvedadd_downstream_userforBEDC.Derived.BaireOneFunctionUp.BaireOneFunctionCarrier_lowersemicontinuous_handoff(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BaireOneFunctionUp.BaireOneFunctionCarrier_lowersemicontinuous_handoff:93ddb164). Rationale: The target is not a disposable wrapper: it constructs the lower-semicontinuous handoff SemanticNameCert from the BaireOneFunction carrier, matching the chapter’s core handoff theorem. It had no exact Lean consumer, so I added a sibling theorem that uses it directly and connects that handoff to the existing public export locality boundary. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-28T15:25:22Z:
resolvedleave_with_rationaleforBEDC.Derived.BaireOneFunctionUp.BaireOneFunctionCarrier_oscillation_locality(flagisolated_theorem, findingisolated_theorem:baireonefunction:BEDC.Derived.BaireOneFunctionUp.BaireOneFunctionCarrier_oscillation_locality:bf03bc22). Rationale: No file changes were made because the finding is stale in this worktree: the theorem is not isolated. The exact full-name grep requested returned no matches because the paper marker escapes underscores and the Lean file uses the local namespace, but direct repo search for the declaration name shows a substantive Lean downstream consumer at lean4/BEDC/Derived/BaireOneFunctionUp/OscillationLocality.lean:244. That consumer, BaireOneFunctionCarrier_oscillation_schedule_boundary, combines the oscillation locality certificate with the pointwise schedule obligations in the same BHist row family, so deleting or staging the target would remove active BEDC structure. Gate results: lake_build=skipped, audit=skipped, phase_d_lint=skipped.2026-06-28T17:16:37Z:
resolvedleave_with_rationaleforBEDC.Derived.DcpoUp.DcpoCarrier_directed_supremum_handoff(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.DcpoUp.DcpoCarrier_directed_supremum_handoff:93ddb164). Rationale: The surrounding DCPO chapter treats the theorem as a real directed-supremum-to-completion handoff, not a pure wrapper, and the exact fully qualified grep found no downstream Lean consumer. I attempted to add a local downstream use by routing the directed-window coverage helper through this handoff theorem, but the requiredcd lean4 && lake buildgate failed onBEDC.Derived.DcpoUp; per instruction, I reverted the edit and leave the theorem unchanged with this rationale. Gate results: lake_build=Some required targets logged failures:BEDC.Derived.DcpoUp error: build failed, audit=skipped, phase_d_lint=skipped.
2026-06-28T19:11:38Z:
resolveddelete_theoremforBEDC.Derived.DcpoUp.DcpoCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:dcpo:BEDC.Derived.DcpoUp.DcpoCarrier_namecert_obligations:5c831012). Rationale: The target had no Lean downstream consumers and only one removable paper marker. Its statement was a weaker standalone NameCert wrapper over loose UnaryHistory/PkgSig premises, while the same chapter now carries the structurally aligned DcpoCarrier-based obligation record and related downstream DCPO obligation theorems. Deleting it removes an isolated stale surface without losing the current Dcpo carrier content. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-28T21:00:10Z:
resolveddelete_theoremforBEDC.Derived.ArchimedeanApproximationUp.ArchimedeanApproximationCarrier_real_seal_handoff(flagisolated_theorem, findingisolated_theorem:archimedeanapproximation:BEDC.Derived.ArchimedeanApproximationUp.ArchimedeanApproximationCarrier_real_seal_handoff:93ddb164). Rationale: The target had no downstream Lean references: exact grep only found the declaration, while the paper reference was only a removable marker. Its content was a projection-style handoff tuple already subsumed by the stronger ArchimedeanApproximation NameCert obligations and later window/readback/nonescape/kernel/public export theorems, so keeping it as an isolated Lean theorem added no separate BEDC structure. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-28T22:45:54Z:
resolvedadd_downstream_userforBEDC.Derived.ApartnessSpaceUp.ApartnessSpaceCarrier_namecert_obligation_package(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.ApartnessSpaceUp.ApartnessSpaceCarrier_namecert_obligation_package:203407cd). Rationale: The target has real BEDC content: it builds a localName SemanticNameCert from the ApartnessSpace carrier, positive-gap route, zero-distance route, and package signatures. It had no downstream Lean consumer, so I added a sibling theorem in TransportAndReplay that consumes this package theorem together with the transport/replay certificate, tying the local naming package to the replay boundary surface. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-06-29T05:57:55Z:
resolvedleave_with_rationaleforBEDC.Derived.SeparableCompletionUp.SeparableCompletionCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:separablecompletion:BEDC.Derived.SeparableCompletionUp.SeparableCompletionCarrier_namecert_obligations:6d04d132). Rationale: The target is not a trivial wrapper: it constructs a SemanticNameCert from the separable-completion Cont route and PkgSig provenance/local-name rows, and derives UnaryHistory for the intermediate read rows. It is currently only represented as the Lean declaration plus the paper marker, so I attempted add_downstream_user by adding a sibling consumer in DensityHandoff.lean that combined the NameCert obligations with SeparableCompletionDensityHandoff, but the required lake build gate failed on BEDC.Derived.SeparableCompletionUp.DensityHandoff. Per the task rule, I reverted the attempted edit and switched to leave_with_rationale with the gate failure recorded. Gate results: lake_build=Some required targets logged failures:BEDC.Derived.SeparableCompletionUp.DensityHandoff error: build failed, audit=skipped, phase_d_lint=skipped.
2026-06-30T01:44:20Z:
resolveddelete_theoremforBEDC.Derived.CriticalLineWitnessUp.CriticalLineWitnessRootVisibleModulusConsumerTotality(flagisolated_theorem, findingisolated_theorem:criticallinewitness:BEDC.Derived.CriticalLineWitnessUp.CriticalLineWitnessRootVisibleModulusConsumerTotality:f684c0cc). Rationale: The flagged PascalCase theorem was an unconsumed duplicate-shaped staging declaration: repo search found only its declaration and no full-name paper marker or Lean downstream use, while the same file retains the canonical paper-facing theoremCriticalLineWitnessCarrier_root_visible_modulus_consumer_totality, which is the marker used by the criticallinewitness chapter. Deleting the isolated declaration preserves the chapter target and removes the unused theorem. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-07-01T04:53:30Z:
resolvedleave_with_rationaleforBEDC.Derived.CauchySubnetUp.CauchySubnetCarrier_obligation_closure_package(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySubnetUp.CauchySubnetCarrier_obligation_closure_package:e2015600). Rationale: The target is not a mere wrapper: it packages the CauchySubnet carrier with handoff, seal, cofinal, endpoint, PkgSig, and SemanticNameCert obligations, and the paper chapter uses it as the strengthened carrier-level obligation closure beneath the scoped kernel route. Exact grep for the fully qualified target found only the Lean declaration because the paper marker uses escaped underscores. I attempted to add a downstream consumer theorem, but the requiredcd lean4 && lake buildgate was externally terminated with exit code 143 after compiling through 10285/14045 targets and showing no Lean error; per task rules I reverted the edit and leave the theorem with rationale rather than shipping an un-gated change. Gate results: lake_build=terminated with exit code 143 after reaching [10285/14045]; no Lean error was reported before termination, audit=skipped, phase_d_lint=skipped.2026-07-01T08:07:09Z:
resolvedleave_with_rationaleforBEDC.Derived.CauchySubnetUp.CauchySubnetCarrier_obligation_closure_package(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySubnetUp.CauchySubnetCarrier_obligation_closure_package:e2015600). Rationale: The target is not staging-only fluff or a trivial wrapper: it packages the CauchySubnet carrier with handoff, seal, cofinal, endpoint, PkgSig, and SemanticNameCert obligations, and the paper chapter uses the corresponding package below the scoped route discussion. I attempted an add_downstream_user theorem that consumed this target to derive a scoped consumer certificate through the local NameCert row; the Lean build passed, but the required audit gate never produced a confirmed exit 0 in this tool session, so I reverted the edit per instructions and leave the theorem unchanged with this rationale. Gate results: lake_build=ok, audit=bedc_ci.py audit did not return a confirmed exit code; visible log ended with KeyboardInterrupt in _local_to_qualified_index after manual interruption of a hung PTY, so no audit PASS was obtained, phase_d_lint=skipped.2026-07-01T10:45:35Z:
resolvedleave_with_rationaleforBEDC.Derived.CauchySubnetUp.CauchySubnetCarrier_obligation_closure_package(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySubnetUp.CauchySubnetCarrier_obligation_closure_package:e2015600). Rationale: The target is structurally meaningful rather than a trivial wrapper: it packages the CauchySubnet carrier with handoff, seal, cofinal, endpoint, PkgSig, UnaryHistory, and SemanticNameCert obligations, and the paper chapter uses it as the carrier-level obligation closure below the scoped/public route discussion. Exact repo search found no Lean downstream consumer beyond the declaration itself, so I attempted an add_downstream_user theorem that consumed this target to derive a public certificate route through the local NameCert row; lake build passed, but the required audit gate failed on an existing leanstmt debt manifest stale entry unrelated to this target, so per instructions I reverted the attempted Lean and paper edits and leave the theorem unchanged with this rationale. Gate results: lake_build=ok, audit=[bedc-ci] leanstmt debt: live_sites=244 manifest_entries=245 violations=1; stale_manifest_entry: parts/concrete_instances/122631_regular_cauchy_sum_criterion_namecert_construction.tex -> BEDC.Derived.RegularCauchySumCriterionUp: manifest entry has no live leanstmt site, phase_d_lint=skipped.2026-07-01T12:21:40Z:
resolvedleave_with_rationaleforBEDC.Derived.CauchySubnetUp.CauchySubnetCarrier_obligation_closure_package(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySubnetUp.CauchySubnetCarrier_obligation_closure_package:e2015600). Rationale: The target is isolated in Lean source and appears to be removable because the same chapter keeps the canonical CauchySubnet_obligation_closure_package marker and a stronger CauchySubnetCarrier_scoped_kernel_route theorem downstream. I attempted delete_theorem and removed the paper marker, but the required lake build gate did not produce an exit 0: it reached the root BEDC.lean compile and then remained without terminal status, so I reverted all edits as instructed. No file changes remain. Gate results: lake_build=interrupted after no exit status; build reached BEDC.lean root module and did not return exit 0, audit=skipped, phase_d_lint=skipped.2026-07-01T13:49:26Z:
resolvedleave_with_rationaleforBEDC.Derived.CauchySubnetUp.CauchySubnetCarrier_obligation_closure_package(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySubnetUp.CauchySubnetCarrier_obligation_closure_package:e2015600). Rationale: The theorem is structurally meaningful rather than a trivial wrapper: it packages the CauchySubnet carrier with handoff, seal, cofinal, endpoint, PkgSig, UnaryHistory, and SemanticNameCert obligations, and the paper chapter uses it as the carrier-level obligation closure below scoped/public route discussion. I attempted an add_downstream_user theorem consuming this target to derive a scoped endpoint UnaryHistory package through the local NameCert row; the file-level Lean check passed, but the required fullcd lean4 && lake buildgate did not return a confirmed exit 0 after reaching rootBEDC.lean, so I reverted the edit as instructed. Gate results: lake_build=interrupted after reaching root BEDC.lean with no Lean error and no confirmed exit 0; file-levellake env lean BEDC/Derived/CauchySubnetUp.leanwas ok before revert, audit=skipped, phase_d_lint=skipped.2026-07-01T15:04:59Z:
resolvedleave_with_rationaleforBEDC.Derived.CauchySubnetUp.CauchySubnetCarrier_obligation_closure_package(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.CauchySubnetUp.CauchySubnetCarrier_obligation_closure_package:e2015600). Rationale: I inspected the Lean declaration and the CauchySubnet paper chapter, and exact active-code search showed no Lean downstream consumer for this target; the paper has only the escaped leanchecked marker, while the same chapter retains the canonical CauchySubnet_obligation_closure_package and the stronger CauchySubnetCarrier_scoped_kernel_route. I attempted delete_theorem by removing the Lean declaration and the paper marker, but the required lake build gate did not produce a confirmed exit 0: output reached the final build stage around [14073/14080], then no lake/lean process was visible while the PTY session still reported running, and I interrupted it with code 130. Per task rules I reverted the edit and leave the theorem unchanged with this gate failure recorded. Gate results: lake_build=attempted delete_theorem; build reached [14073/14080] with no Lean error, then produced no terminal exit status and was interrupted with code 130, audit=skipped, phase_d_lint=skipped.2026-07-01T16:30:22Z:
resolvedadd_downstream_userforBEDC.Derived.BishopCompletionComparisonUp.BishopCompletionComparisonCarrier_seal_nonescape(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.BishopCompletionComparisonUp.BishopCompletionComparisonCarrier_seal_nonescape:3c7e3bf5). Rationale: The target is not a disposable wrapper: the paper uses seal non-escape as a proof dependency for the Real route, boundary transport, and public L10 route, while Lean previously had no downstream consumer. I added BishopCompletionComparisonCarrier_boundary_real_nonescape in the boundary-transport sibling, which explicitly calls the target and combines its seal non-escape certificate with the existing real-route certificate, tying the isolated theorem into the same BHist/Cont/SemanticNameCert route family. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-07-01T17:57:12Z:
resolvedadd_downstream_userforBEDC.Derived.BishopCompletionComparisonUp.BishopCompletionComparisonCarrier_boundary_transport(flagisolated_theorem, findingisolated_theorem:bishopcompletioncomparison:BEDC.Derived.BishopCompletionComparisonUp.BishopCompletionComparisonCarrier_boundary_transport:28772705). Rationale: The theorem is not disposable staging: the paper chapter uses the boundary-transport claim in the BishopCompletionComparison public route, but Lean had no downstream symbol reference. I added a sibling consumer, BEDC.Derived.BishopCompletionComparisonUp.BishopCompletionComparisonCarrier_transport_real_route, which combines the boundary transport certificate with the existing Real route certificate over the same carrier, replay, provenance, and package data. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-07-01T19:12:14Z:
resolvedadd_downstream_userforBEDC.Derived.DoCalculusUp.DoCalculusDisplayedPrefixSubledger_closure(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.DoCalculusUp.DoCalculusDisplayedPrefixSubledger_closure:ca6316a6). Rationale: The target was not paper-marked and grep showed no prior downstream references, but its statement carries real BEDC content: it packages the displayed prefix subledger into a SemanticNameCert plus prefix and retained UnaryHistory closure. I kept the theorem and made the existing scoped closure route consume it directly, replacing a duplicate local derivation of the same prefix/retained closure. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-07-01T21:01:44Z:
resolvedadd_downstream_userforBEDC.Derived.ZetaContinuationSocketUp.ZetaContinuationSocketLedger_nonescape(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.ZetaContinuationSocketUp.ZetaContinuationSocketLedger_nonescape:1f23db51). Rationale: The target is not a trivial restatement: the paper chapter uses the ledger non-escape claim as part of the socket boundary and later paper-only boundary exhaustion, but Lean had no sibling consumer. I addedZetaContinuationSocketCarrier_analytic_ledger_boundaryin the analytic handoff sibling file, which substantively consumesZetaContinuationSocketLedger_nonescapetogether withZetaContinuationSocketCarrier_analytic_handoffto expose both the downstream seal certificate and the pole/gamma/trivial ledger certificate. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-07-02T00:07:13Z:
resolvedadd_downstream_userforBEDC.Derived.QuasiMetricUp.QuasiMetricCarrier_directed_ball_triangle_refinement(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.QuasiMetricUp.QuasiMetricCarrier_directed_ball_triangle_refinement:cf9e05c8). Rationale: The target is not a trivial wrapper: it builds the directed-ball triangle refinement SemanticNameCert and exposes the unary chain through composed directed-ball reads. Source grep found no existing Lean consumer, while the paper chapter uses the theorem as part of the public certificate narrative. I added a substantive sibling consumer, QuasiMetricCarrier_triangle_refinement_public_route, which invokes the target theorem and then routes the composed ball through uniform reflection and local naming into a public SemanticNameCert. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-07-02T01:32:40Z:
resolvedadd_downstream_userforBEDC.Derived.RealUniformStructureUp.RealUniformStructureCarrier_located_cauchy_filter_handoff(flagisolated_theorem, findingisolated_theorem:realuniformstructure:BEDC.Derived.RealUniformStructureUp.RealUniformStructureCarrier_located_cauchy_filter_handoff:af1002bd). Rationale: The handoff theorem has meaningful BEDC content: it composes the RealUniformStructure carrier, displayed Cont route, located-tail read, and PkgSig provenance into unary/package evidence for located Cauchy-filter consumers. I kept it and added the sibling consumer BEDC.Derived.RealUniformStructureUp.RealUniformStructureLocatedEqualityFilterBoundary, which explicitly calls the target theorem and uses its located-tail output to build a SemanticNameCert bridge through the equality/filter boundary. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-07-02T02:41:56Z:
resolvedleave_with_rationaleforBEDC.Derived.QuasiMetricUp.QuasiMetricCarrier_directed_ball_triangle_refinement(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.QuasiMetricUp.QuasiMetricCarrier_directed_ball_triangle_refinement:cf9e05c8). Rationale: The theorem is not staging-only or isolated in the current worktree:lean4/BEDC/Derived/QuasiMetricUp/PublicCertificate.leanhas a substantive downstream consumer,QuasiMetricCarrier_triangle_refinement_public_route, which invokesQuasiMetricCarrier_directed_ball_triangle_refinementand then extends the composed directed-ball certificate through uniform reflection and local naming into a public SemanticNameCert. The paper chapter also marks the target at the directed-ball triangle refinement theorem site. The daemon evidence appears stale or based on full-qualified string matching, because the Lean consumer uses the unqualified name inside the same namespace. Gate results: lake_build=skipped, audit=skipped, phase_d_lint=skipped.2026-07-02T04:13:29Z:
resolvedadd_downstream_userforBEDC.Derived.StepIndexedTotalHostUp.StepIndexedTotalHostCarrier_public_interface(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.StepIndexedTotalHostUp.StepIndexedTotalHostCarrier_public_interface:3c7e3bf5). Rationale: The target is not a removable wrapper: the paper has a distinct StepIndexedTotalHost public-interface theorem, and the Lean statement upgrades the scoped kernel route to a public SemanticNameCert over publicRead. I added a sibling-boundary consumer that calls StepIndexedTotalHostCarrier_public_interface, reuses its public SemanticNameCert and UnaryHistory publicRead result, and connects that public read through a new Cont publicRead bounded sibling route with PkgSig bundle publicRead pkg. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-07-02T05:33:46Z:
resolveddelete_theoremforBEDC.Derived.StepIndexedTotalHostUp.StepIndexedTotalHostCarrier_sibling_boundary(flagisolated_theorem, findingisolated_theorem:stepindexedtotalhost:BEDC.Derived.StepIndexedTotalHostUp.StepIndexedTotalHostCarrier_sibling_boundary:b8986066). Rationale: The target had no Lean downstream users and only a removable paper marker. Its proof merely repackaged existing StepIndexedTotalHostCarrier projections together with externally supplied sibling UnaryHistory and Cont premises, while the same file already retains the more substantive public sibling boundary theorem that ties the carrier through the public interface and SemanticNameCert surface. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-07-02T06:55:12Z:
resolvedadd_downstream_userforBEDC.Derived.SylowUp.SylowCarrier_prime_power_coverage(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.SylowUp.SylowCarrier_prime_power_coverage:43e3a8b4). Rationale: The target is structurally meaningful: it isolates the Sylow packet’s prime row, exponent row, coverage row, coverage Cont route, and provenance package, and the paper treats it as a named component of the Sylow obligation surface. It was isolated only because the later closure theorem re-projected the same carrier fields directly. I made SylowCarrier_obligation_closure_surface consume BEDC.Derived.SylowUp.SylowCarrier_prime_power_coverage and reuse its extracted coverage surface before assembling the broader NameCert closure. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-07-02T08:05:47Z:
resolvedadd_downstream_userforBEDC.Derived.SylowUp.SylowCarrier_namecert_obligations(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.SylowUp.SylowCarrier_namecert_obligations:43e3a8b4). Rationale: The target is not a disposable wrapper: it is the paper’s primary checked NameCert-obligation theorem for the Sylow carrier, and the surrounding chapter uses it as the local carrier-admission surface. Repo search showed no Lean downstream consumer, so I added SylowCarrier_public_readback_consumes_namecert_obligations in the same Sylow row family. The new theorem substantively consumes SylowCarrier_namecert_obligations and combines its SemanticNameCert/provenance output with the public scope dependency lock and Cont/PkgSig consumer route. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-07-02T09:15:31Z:
resolvedadd_downstream_userforBEDC.Derived.SylowUp.SylowCarrier_conjugacy_transport(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.SylowUp.SylowCarrier_conjugacy_transport:43e3a8b4). Rationale: The theorem has meaningful BEDC content: it transports conjugacy data between two accepted Sylow carriers via coverage/action hsame rows and exposes both transport Cont routes. It was paper-marked but had no Lean downstream consumer, so I added SylowCarrier_conjugacy_transport_public_scope, which uses the target together with both sides of SylowCarrier_scope_dependency_lock to bind conjugacy transport to public-read NameCert scope certificates. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-07-02T10:30:32Z:
resolvedadd_downstream_userforBEDC.Derived.ClosurePreservationAuditWitnessUp.ClosurePreservationAuditWitness_substitution_row(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.ClosurePreservationAuditWitnessUp.ClosurePreservationAuditWitness_substitution_row:3c7e3bf5). Rationale: The target theorem carries real BEDC content: it extracts the shift, variable-substitution, and full-substitution closedness rows from the ClosurePreservationAuditWitness carrier, rather than merely restating another theorem. It was isolated in source use, so I added a downstream consumer in the MetaCICClosurePreservationWitness sibling that invokes this substitution row and hands the resulting full-substitution audit read into the witness carrier’s audit row and continuation route. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-07-02T12:00:41Z:
resolvedadd_downstream_userforBEDC.Derived.ClosurePreservationAuditWitnessUp.ClosurePreservationAuditWitness_beta_star_row(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.ClosurePreservationAuditWitnessUp.ClosurePreservationAuditWitness_beta_star_row:3c7e3bf5). Rationale: The theorem carries real BEDC content: it extracts the beta-step route and derives a beta-star read as a closed UnaryHistory row from the ClosurePreservationAuditWitness carrier, rather than restating an existing theorem. It was isolated in downstream Lean use, so I added a sibling consumer in MetaCICClosurePreservationWitnessUp that invokes the beta-star row, transports it into the witness audit row through hsame, and then consumes it through the witness continuation route. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-07-02T13:12:37Z:
resolvedadd_downstream_userforBEDC.Derived.ExtremeValueUp.ExtremeValueCarrier_finite_net_attainment(flagisolated_theorem, findingisolated_theorem:extremevalue:BEDC.Derived.ExtremeValueUp.ExtremeValueCarrier_finite_net_attainment:637258a5). Rationale: The target has real BEDC content: it extracts the finite-net carrier field equality, unary closure for the value read, and the Cont route from an accepted ExtremeValuePacket, and the paper uses it as the finite-net attainment claim. It was isolated only because the later Real-seal boundary theorem rebuilt adjacent facts without calling it. I added a sibling consumer theorem in RealSealBoundary.lean that uses the target together with ExtremeValueRealSealBoundary to export both the SemanticNameCert seal boundary and the finite-net carrier/read route. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.2026-07-02T14:22:35Z:
resolveddelete_theoremforBEDC.Derived.UniformCauchyCompletionRealizerUp.UniformCauchyCompletionRealizerCarrier_modulus_stability(flagisolated_theorem, findingisolated_theorem:derived:BEDC.Derived.UniformCauchyCompletionRealizerUp.UniformCauchyCompletionRealizerCarrier_modulus_stability:1758c981). Rationale: The target had no Lean downstream users and only one removable paper marker. Its actual Lean content was a direct carrier-field projection, while the sibling theorem UniformCauchyCompletionRealizerCarrier_real_seal_handoff already projects a strictly stronger field surface including the same dyadic/window/readback/modulus/seal route plus the source row. The paper’s informal modulus-stability theorem remains as seed-level text, but it no longer claims this weak projection as a checked realization. Gate results: lake_build=ok, audit=ok, phase_d_lint=ok, axiom_purity=ok.
注解
(operator 可手工编辑, daemon 不动这块.)