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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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benbrastmckie/nvim
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2026년 5월 8일 04:03
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SKILL.md
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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
Task, 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 "$task_data" | jq -r '.description // ""') ``` --- ### Stage 2: Preflight Status Update Update task status to "researching" BEFORE invoking subagent. **Update state.json**: ```bash jq --arg ts "$(date -u +%Y-%m-%dT%H:%M:%SZ)" \ --arg status "researching" \ --arg sid "$session_id" \ '(.active_projects[] | select(.project_number == '$task_number')) |= . + { status: $status, last_updated: $ts, session_id: $sid }' specs/state.json > specs/tmp/state.json && mv specs/tmp/state.json specs/state.json ``` **Update TODO.md**: Use Edit tool to change status marker from `[NOT STARTED]` or `[RESEARCHED]` to `[RESEARCHING]`. --- ### Stage 3: Prepare Delegation Context Prepare delegation context for the subagent: ```json { "session_id": "sess_{timestamp}_{random}", "delegation_depth": 1, "delegation_path": ["orchestrator", "research", "skill-lean-research"], "timeout": 3600, "task_context": { "task_number": N, "task_name": "{project_name}", "description": "{description}", "task_type": "${task_type}" }, "focus_prompt": "{optional focus}", "metadata_file_path": "specs/{N}_{SLUG}/.return-meta.json" } ``` --- ### Stage 4: Invoke Subagent **CRITICAL**: You MUST use the **Task** tool to spawn the subagent. **Required Tool Invocation**: ``` Tool: Task (NOT Skill) 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 5: Parse Subagent Return (Read Metadata File) After subagent returns, 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 jq --arg ts "$(date -u +%Y-%m-%dT%H:%M:%SZ)" \ --arg status "researched" \ '(.active_projects[] | select(.project_number == '$task_number')) |= . + { status: $status, last_updated: $ts, researched: $ts }' specs/state.json > specs/tmp/state.json && mv specs/tmp/state.json specs/state.json ``` **Update TODO.md**: Use Edit tool to change status marker from `[RESEARCHING]` to `[RESEARCHED]`. **On partial/failed**: Keep status as "researching" for resume. --- ### Stage 7: Link Artifacts Add artifact to state.json with summary. ```bash if [ -n "$artifact_path" ]; then jq --arg path "$artifact_path" \ --arg type "$artifact_type" \ --arg summary "$artifact_summary" \ '(.active_projects[] | select(.project_number == '$task_number')).artifacts += [{"path": $path, "type": $type, "summary": $summary}]' \ specs/state.json > specs/tmp/state.json && mv specs/tmp/state.json specs/state.json fi ``` **Update TODO.md**: Add research artifact link. --- ### Stage 8: Git Commit Commit changes with session ID: ```bash git add \ "specs/${padded_num}_${project_name}/reports/" \ "specs/${padded_num}_${project_name}/.return-meta.json" \ "specs/TODO.md" \ "specs/state.json" git commit -m "task ${task_number}: complete research Session: ${session_id} ``` --- ### 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/research-{NNN}.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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