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skill-lean-research

Research Lean 4 and Mathlib for theorem proving tasks. Invoke for Lean-language research using LeanSearch, Loogle, and lean-lsp tools.

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Dépôt
benbrastmckie/nvim
Dernière activité de la source
9 septembre 2026 à 17:57
Langue détectée de SKILL.md
anglais
Étoiles
443
Forks
459

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SKILL.md
Instructions source · Aperçu en lecture seule
name
skill-lean-research
description
Research Lean 4 and Mathlib for theorem proving tasks. Invoke for Lean-language research using LeanSearch, Loogle, and lean-lsp tools.
allowed-tools
Agent, Bash, Edit, Read, Write
# Lean Research Skill Thin wrapper that delegates Lean research to `lean-research-agent` subagent. **IMPORTANT**: This skill implements the skill-internal postflight pattern. After the subagent returns, this skill handles all postflight operations (status update, artifact linking, git commit) before returning. ## Trigger Conditions This skill activates when: - Task type is "lean4" or "lean" (either accepted) - Research involves Mathlib, theorems, or proofs - Lean-specific MCP tools are needed --- ## Execution Flow ### Stage 1: Input Validation Validate required inputs: - `task_number` - Must be provided and exist in state.json - `focus_prompt` - Optional focus for research direction ```bash # Lookup task task_data=$(jq -r --argjson num "$task_number" \ '.active_projects[] | select(.project_number == $num)' \ specs/state.json) # Validate exists if [ -z "$task_data" ]; then return error "Task $task_number not found" fi # Extract fields task_type=$(echo "$task_data" | jq -r '.task_type // "general"') status=$(echo "$task_data" | jq -r '.status') project_name=$(echo "$task_data" | jq -r '.project_name') description=$(echo "$task_data" | jq -r '.description // ""') ``` --- ### Stage 2: Preflight Status Update Update task status to "researching" BEFORE invoking subagent. **Update state.json**: ```bash bash .claude/scripts/state-write.sh \ '(.active_projects[] | select(.project_number == $num)) |= . + { status: $status, last_updated: $ts, session_id: $sid }' \ --session-id "$session_id" \ --argjson num "$task_number" \ --arg ts "$(date -u +%Y-%m-%dT%H:%M:%SZ)" \ --arg status "researching" \ --arg sid "$session_id" ``` **Update TODO.md**: Use Edit tool to change status marker from `[NOT STARTED]` or `[RESEARCHED]` to `[RESEARCHING]`. ```bash # WARN-only: reports lean-lsp MCP registration drift without blocking dispatch. if [ -x .claude/scripts/lean-mcp-preflight-check.sh ]; then bash .claude/scripts/lean-mcp-preflight-check.sh || true fi ``` --- ### Stage 3: Prepare Delegation Context Prepare delegation context for the subagent: ```json { "session_id": "sess_{timestamp}_{random}", "delegation_depth": 1, "delegation_path": ["orchestrator", "research", "skill-lean-research"], "timeout": 3600, "task_context": { "task_number": N, "task_name": "{project_name}", "description": "{description}", "task_type": "lean" }, "focus_prompt": "{optional focus}", "metadata_file_path": "specs/{N}_{SLUG}/.return-meta.json" } ``` --- ### Stage 4: Invoke Subagent **CRITICAL**: You MUST use the **Agent** tool to spawn the subagent. **Required Tool Invocation**: ``` Tool: Agent (NOT Skill, NOT Plan) Parameters: - subagent_type: "lean-research-agent" - prompt: [Include task_context, delegation_context, focus_prompt, metadata_file_path] - description: "Execute Lean research for task {N}" ``` **DO NOT** use `Skill(lean-research-agent)` - this will FAIL. The subagent will: - Search Mathlib using lean_leansearch, lean_loogle, lean_leanfinder - Verify theorems with lean_local_search and lean_hover_info - Analyze findings and synthesize recommendations - Create research report in `specs/{N}_{SLUG}/reports/` - Write metadata to `specs/{N}_{SLUG}/.return-meta.json` - Return a brief text summary (NOT JSON) --- ### Stage 4b: Self-Execution Fallback **CRITICAL**: If you performed the work above WITHOUT using the Agent tool (i.e., you read files, wrote artifacts, or updated metadata directly instead of spawning a subagent), you MUST write a `.return-meta.json` file now before proceeding to postflight. Use the schema from `return-metadata-file.md` with the appropriate status value for this operation. If you DID use the Agent tool, skip this stage -- the subagent already wrote the metadata. --- ## Postflight (ALWAYS EXECUTE) The following stages MUST execute after work is complete, whether the work was done by a subagent or inline (Stage 4b). Do NOT skip these stages for any reason. ### Stage 5: Parse Subagent Return Read the metadata file: ```bash metadata_file="specs/${padded_num}_${project_name}/.return-meta.json" if [ -f "$metadata_file" ] && jq empty "$metadata_file" 2>/dev/null; then status=$(jq -r '.status' "$metadata_file") artifact_path=$(jq -r '.artifacts[0].path // ""' "$metadata_file") artifact_type=$(jq -r '.artifacts[0].type // ""' "$metadata_file") artifact_summary=$(jq -r '.artifacts[0].summary // ""' "$metadata_file") else echo "Error: Invalid or missing metadata file" status="failed" fi ``` --- ### Stage 6: Update Task Status (Postflight) If status is "researched", update state.json and TODO.md: **Update state.json**: ```bash bash .claude/scripts/state-write.sh \ '(.active_projects[] | select(.project_number == $num)) |= . + { status: $status, last_updated: $ts, researched: $ts }' \ --session-id "$session_id" \ --argjson num "$task_number" \ --arg ts "$(date -u +%Y-%m-%dT%H:%M:%SZ)" \ --arg status "researched" ``` **Update TODO.md**: Use Edit tool to change status marker from `[RESEARCHING]` to `[RESEARCHED]`. **On partial/failed**: Keep status as "researching" for resume. --- ### Stage 7: Link Artifacts Add artifact to state.json with summary. ```bash if [ -n "$artifact_path" ]; then bash .claude/scripts/state-write.sh \ '(.active_projects[] | select(.project_number == $num)).artifacts += [{"path": $path, "type": $type, "summary": $summary}]' \ --session-id "$session_id" \ --argjson num "$task_number" \ --arg path "$artifact_path" \ --arg type "$artifact_type" \ --arg summary "$artifact_summary" fi ``` **Update TODO.md**: Link artifact using count-aware format. Apply the four-case Edit logic from `@.claude/context/patterns/artifact-linking-todo.md` with `field_name=**Research**`, `next_field=**Plan**`. --- ### Stage 8: Git Commit Commit changes with session ID: ```bash bash .claude/scripts/git-commit-scoped.sh \ --message "task ${task_number}: complete research" \ --session "${session_id}" \ --honest-index-rows "${task_number}" \ -- "specs/${padded_num}_${project_name}/reports/" \ "specs/${padded_num}_${project_name}/.return-meta.json" \ "specs/TODO.md" \ "specs/state.json" ``` --- ### Stage 9: Return Brief Summary Return a brief text summary (NOT JSON). Example: ``` Research completed for task {N}: - Found {count} relevant Mathlib theorems - Identified proof strategy: {strategy} - Created report at specs/{N}_{SLUG}/reports/MM_{short-slug}.md - Status updated to [RESEARCHED] - Changes committed ``` --- ## Error Handling ### Input Validation Errors Return immediately with error message if task not found. ### Metadata File Missing If subagent didn't write metadata file: 1. Keep status as "researching" 2. Report error to user ### Git Commit Failure Non-blocking: Log failure but continue with success response. ### Subagent Timeout Return partial status if subagent times out (default 3600s). Keep status as "researching" for resume. --- ## Return Format This skill returns a **brief text summary** (NOT JSON). The JSON metadata is written to the file and processed internally.
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