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[Lean] PR442 level model, phase 2: idle pending operators equal the derived masks over any field with 2 ≠ 0 - #1494
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cheesegrader wants to merge 19 commits into
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cheesegrader wants to merge 19 commits into
cheesegrader wants to merge 19 commits into
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Prepare the complete Lake inventory and default-setting verifier; retain all nine archival snapshots unchanged and excluded. Preserve the successful bounded probes and the FrameGeometry timing stop without claiming a full port, fresh replay, or CI qualification.
A companion to CrocSwap#540 that leaves PR540's files untouched. A Python-extracted literal of the hosted bit schedule and the route blocks defines levels, pending sets and windows in Lean 4.21. decide then proves: - the idle ranks; - the stage-2 windows; - that every target mask is a slice of the derived pending axes; - that PR540's hand-supplied pendingTag equals the derived mask. The selected-invocation completion is restated with the derived mask. Six mutations each fail by decide. Co-Authored-By: Claude Opus 5.5 (1M context) <noreply@anthropic.com>
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Batch review at This remains open after scoped triage. Next review step: 603-file Lean/ancestor change requires isolating the phase-two pending-operator theorem, reconciling historical certificate/CI changes, and building the pinned Lean modules with axiom checks. Whole-head integration cannot be inferred from a local Python replay. This is a specific continuation point, not a rejection or a request to redo already recorded checks. Completed local evidence is retained separately from outstanding whole-head obligations. Batch review, attribution and evidence. Thank you for the contribution. |
Preserve current certificate fingerprints and all Makefile targets. Keep protected proof packages unchanged, add a phase-specific review guide and scoped inherited invocation CI.
Carry forward current upstream reconciliation without changing the 542 protected files or proof sources. Document the phase-specific comparison and pending fresh CI checks.
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Stacked on #1365 (→ #1231 → #540). New files only:
research/lean-pr442-level-model-phase2/and.github/workflows/pr442-level-model-phase2.yml. No earlier file is changed; 542 protected files are hash-checked.What is proved (Lean 4.21.0, Mathlib
308445d)idle_pending_operator: for children 1 and 2 of the selected PR442 invocation, all 120 ports, both sides and every field K with 2 ≠ 0, the physical pending operator equals [Lean] Derive #540's pending ranges from the PR442 schedule (stacked on #540; no new kappa) #1231's coordinate pending mask conjugated by the port chart, on every ambient vector. The physical pending operator is the difference of the endpoint projectors reconstructed in [Lean] PR442 level model, phase 1: literal entrance projector has range span(q) #1365 from the literal frames, orientation, routes and exterior axes. It is defined withoutinLevelorpendingAxes;pendingAxesappears only on the comparison side.With #1365 and #1231, the pending ranges #540 uses for this invocation are now derived from the pinned source data. The level −1 identification (L₋₁ = span(q)) is proved rather than chosen.
Evidence
propext,Quot.soundandClassical.choice.validation/.research/lean-pr442-level-model-phase2/THEOREMS.md.Scope
Children 1 and 2 of the selected stage-2 invocation only. The other idle events, other invocations, complete physical execution and cross-invocation scheduling are not covered. JSON parsing, extraction and hashing remain external.
Credits
PR370 (word and exporter), PR386 (geometry), PR442 (hosting), #540, #1231 and #1365. Prepared with substantial OpenAI Codex assistance and independently reviewed with Claude.
🤖 Generated with Claude Code