- name
- skill-lean-implementation
- description
- Implement Lean 4 proofs and definitions using lean-lsp tools. Invoke for Lean-language implementation tasks.
- allowed-tools
- Agent, Bash, Edit, Read, Write
# Lean Implementation Skill
Thin wrapper that delegates Lean 4 proof implementation to `lean-implementation-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)
- /implement command targets a Lean task
- Plan exists and task is ready for implementation
---
## Execution Flow
### Stage 1: Input Validation
Validate required inputs:
- `task_number` - Must be provided and exist in state.json
- Task status must allow implementation (planned, implementing, partial)
- Task language must be "lean"
```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 "$task_data" | jq -r '.project_name')
# Validate task_type (accept both "lean" and "lean4")
if [ "$task_type" != "lean" ] && [ "$task_type" != "lean4" ]; then
return error "Task $task_number is not a Lean task"
fi
```
---
### Stage 2: Preflight Status Update
Update task status to "implementing" BEFORE invoking subagent.
```bash
bash .claude/scripts/update-task-status.sh preflight "$task_number" implement "$session_id"
```
---
### Stage 3: Prepare Delegation Context
Prepare delegation context for the subagent:
```json
{
"session_id": "sess_{timestamp}_{random}",
"delegation_depth": 1,
"delegation_path": ["orchestrator", "implement", "skill-lean-implementation"],
"timeout": 7200,
"task_context": {
"task_number": N,
"task_name": "{project_name}",
"description": "{description}",
"task_type": "lean"
},
"plan_path": "specs/{N}_{SLUG}/plans/MM_{short-slug}.md",
"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-implementation-agent"
- prompt: [Include task_context, delegation_context, plan_path, metadata_file_path]
- description: "Execute Lean implementation for task {N}"
```
**DO NOT** use `Skill(lean-implementation-agent)` - this will FAIL.
The subagent will:
- Load implementation context files (MCP tools guide, tactic patterns)
- Parse plan and find resume point
- Execute phases sequentially using lean-lsp MCP tools
- Verify proofs with `lean_goal` and `lake build` (detached, via the build guard — see
`context/project/lean4/operations/long-builds.md`)
- Create implementation summary
- 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 // ""' "$metadata_file")
phases_completed=$(jq -r '.metadata.phases_completed // 0' "$metadata_file")
phases_total=$(jq -r '.metadata.phases_total // 0' "$metadata_file")
# Read verification results (agent is responsible for verification)
verification_passed=$(jq -r '.verification.verification_passed // false' "$metadata_file")
else
echo "Error: Invalid or missing metadata file"
status="failed"
verification_passed="false"
fi
```
**Note**: The agent performs all verification (sorry check, axiom check, lake build — detached and
guarded, see `context/project/lean4/operations/long-builds.md`) and records results in metadata.
This skill reads those results - it does NOT re-verify.
---
### Stage 6b: Plan Compliance Check (Read from Metadata)
**This stage only runs if status from metadata is "implemented".**
Read the agent-reported compliance result from metadata (agent ran the grep check in Final Verification Stage; SKILL reads the result — MUST NOT re-run grep per postflight-tool-restrictions.md):
```bash
if [ "$status" = "implemented" ]; then
compliance_check=$(jq -r '.metadata.compliance_check // "skipped"' "$metadata_file" 2>/dev/null)
case "$compliance_check" in
"failed")
echo "Stage 6b: Plan compliance check FAILED (agent reported)"
echo " See agent output for missing deliverables or integrity violations"
status="partial"
;;
"passed")
echo "Stage 6b: Plan compliance check PASSED"
;;
"skipped"|*)
echo "Stage 6b: INFO — compliance_check absent or skipped; proceeding"
;;
esac
fi
```
**Architecture note**: The `.claude/` skill MUST NOT run grep or shell analysis in postflight (see postflight-tool-restrictions.md). The lean-implementation-agent runs the check during Final Verification Stage and records results in metadata. This stage reads that result only.
---
### Stage 6: Update Task Status (Postflight)
**If status is "implemented" AND verification_passed is true**:
```bash
bash .claude/scripts/update-task-status.sh postflight "$task_number" implement "$session_id" --phase-check=warn
```
Then add completion_data to state.json (not covered by centralized script):
```bash
# Extract completion_data fields from metadata (if present)
completion_summary=$(jq -r '.completion_data.completion_summary // ""' "$metadata_file")
roadmap_items=$(jq -c '.completion_data.roadmap_items // []' "$metadata_file")
# Add completion_summary if present
if [ -n "$completion_summary" ]; then
bash .claude/scripts/state-write.sh \
'(.active_projects[] | select(.project_number == $num)).completion_summary = $summary' \
--session-id "$session_id" \
--argjson num "$task_number" \
--arg summary "$completion_summary"
fi
# Add roadmap_items if present (for non-meta tasks only)
if [ "$task_type" != "meta" ] && [ "$roadmap_items" != "[]" ] && [ -n "$roadmap_items" ]; then
bash .claude/scripts/state-write.sh \
'(.active_projects[] | select(.project_number == $num)).roadmap_items = $items' \
--session-id "$session_id" \
--argjson num "$task_number" \
--argjson items "$roadmap_items"
fi
```
**If status is "partial"**:
Keep status as "implementing" but update resume point.
TODO.md stays as `[IMPLEMENTING]`.
---
### Stage 7: Link Artifacts
Add summary artifact to state.json. Update TODO.md per `@.claude/context/patterns/artifact-linking-todo.md` with `field_name=**Summary**`, `next_field=**Description**`.
```bash
if [ -n "$summary_artifact_path" ]; then
bash .claude/scripts/state-write.sh \
'(.active_projects[] | select(.project_number == $num)).artifacts += [{"path": $path, "type": "summary", "summary": $summary}]' \
--session-id "$session_id" \
--argjson num "$task_number" \
--arg path "$summary_artifact_path" \
--arg summary "$summary_artifact_summary"
fi
```
---
### Stage 8: Git Commit
Commit changes with session ID:
```bash
git add \
"Theories/" \
"specs/${padded_num}_${project_name}/summaries/" \
"specs/${padded_num}_${project_name}/plans/" \
"specs/TODO.md" \
"specs/state.json"
git commit -m "task ${task_number}: complete implementation
Session: ${session_id}
```
---
### Stage 9: Return Brief Summary
Return a brief text summary (NOT JSON). Example:
```
Lean implementation completed for task {N}:
- All {phases_total} phases executed, all proofs verified
- Lake build: Success
- Key theorems: {theorem names}
- Created summary at specs/{N}_{SLUG}/summaries/MM_{short-slug}-summary.md
- Status updated to [COMPLETED]
- Changes committed
```
---
## Error Handling
### Input Validation Errors
Return immediately with error message if task not found, wrong language, or status invalid.
### Metadata File Missing
If subagent didn't write metadata file:
1. Keep status as "implementing"
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 7200s).
Keep status as "implementing" for resume.
---
## MUST NOT (Postflight Boundary)
After the agent returns, this skill MUST NOT:
1. **Edit source files** - All Lean proof work is done by agent
2. **Run lake build** - Build verification is done by agent (the agent's build is detached and
guarded — see `context/project/lean4/operations/long-builds.md`)
3. **Use MCP tools** - lean-lsp tools are for agent use only
4. **Grep for sorries** - Debt analysis is agent work
5. **Write summary/reports** - Artifact creation is agent work
> **PROHIBITION**: If the subagent returned partial or failed status, the lead skill MUST NOT attempt to continue, complete, or "fill in" the subagent's work. Report the partial/failed status and let the user re-run `/implement` to resume.
The postflight phase is LIMITED TO:
- Reading agent metadata file
- Updating state.json via jq
- Updating TODO.md status marker via Edit
- Linking artifacts in state.json
- Git commit
- Cleanup of temp/marker files
Reference: @.claude/context/standards/postflight-tool-restrictions.md
---
## 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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