← ClaudeAtlas

proof-repairlisted

Generate self-consistent repair plans for mathematical proof issues found by /proofcheck, with literature-backed support. For each problematic assumption, model, proposition, or theorem, proposes fixes that preserve the full dependency chain and searches arXiv, Semantic Scholar, and Google Scholar for new references to support repairs. Use when user says "repair proofs", "fix proof issues", "修复证明", "proof repair", "修正计划", "fix theorem", "repair assumptions", or wants to go from proof audit to actionable repair plan with literature support.
gyf9712/stat-theory-skills · ★ 0 · AI & Automation · score 78
Install: claude install-skill gyf9712/stat-theory-skills
# Proof-Repair — Literature-Backed Repair Plans for Mathematical Proofs > 🔬 **Model Recommendation**: Run this skill on **Claude Opus** for best results. > Repair design + literature verification requires deep reasoning. If your session is > not on Opus, run `/model opus` before invoking. Heavy reasoning (literature search, > verification, full proof writing) will use Opus sub-agents. Takes a `/proofcheck` audit (or a raw .tex file with known issues) and produces self-consistent repair plans with new literature references for every fixable issue. **Pipeline position**: ``` /proofcheck → [THIS SKILL] → /proof-writer Find issues Fix + literature Write complete proofs ``` **Upstream**: `/proofcheck` (produces audit/ with provability triage + blockage reports) **This skill**: audit/ → REPAIR_PLAN.md + patched .bib + per-unit repair files **Downstream**: `/proof-writer` (writes complete corrected proofs for each repair) ## Context: $ARGUMENTS --- ## Step 0: Locate Inputs Parse `$ARGUMENTS` to find the paper workspace. ``` Expected structure (created by /proofcheck): papers/<paper-name>/ paper.tex CHECK_PLAN.md EXECUTION_ORDER.md audit/ 01_index/theorem_inventory.md 02_ledgers/{notation,assumption,constants}_ledger.md 03_dependencies/dependency_graph.md 04_local_checks/section_*/*_check.md 05_adversarial/{hidden_assumptions,counterexamples}.md 06_reports/{issue_log.md, FINAL_REPORT.md} ``` Read these files in order: 1. `audit/06_re