lean-doc-improvement

To update documentation from Lean formalization, triage the new insights, generate patches, map them to the appropriate handbook sections, and coordinate downstream handoffs with safety STOP checks to keep proofs and docs in sync.

The Lean proof handbook workflow involves triaging formalization updates, creating patch notes, mapping changes to reference sections, and executing downstream handoffs to ensure documentation reflects the latest Lean4 work.

You can use this for papers, technical reports, and handbooks. It triages Lean-derived updates and propagates them to the relevant document whenever formalization yields new insights, corrections, or metrics.

The best way to propagate a missing hypothesis is using the patch-generation workflow, which maps the Lean formalization correction directly to the affected appendix table in the references handbook.

You should use safety STOP checks during the patch-generation workflow before coordinating handoffs to downstream skills, ensuring that section mapping and Lean-derived updates are verified before propagation.