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Lean integration protocol

Skill r-irbe/proof-skills/skills/lean-integration-protocol

APM-installable agent skills for Lean 4 and Mathlib4 — proof tactics, math domains, review and research workflows, generic tooling.

Install
npx -y skills add r-irbe/proof-skills --skill lean-integration-protocol

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USE FOR: Cross-skill integration protocol defining how all 39 skills work together. Covers the complete lifecycle from document to proof to document, inter-cluster communication, workflow templates for common tasks, and the master orchestration patterns. Use when coordinating multi-skill workflows or diagnosing cross-skill issues. DO NOT USE FOR: any single-skill execution (use that skill directly); the review council itself (use @lean-review-council); the gateway (use @lean-gateway). TRIGGERS: integration protocol, skill integration, cross-skill, skill lifecycle, inter-cluster routing.

SKILL.md

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SK-40: Integration Protocol

Defines how all skills in the project ecosystem work together as a coherent system.


Routing

  • USE FOR: Cross-skill integration protocol defining how all 39 skills work together. Covers the complete lifecycle from document to proof to document, inter-cluster communication, workflow templates for common tasks, and the master orchestration patterns. Use when coordinating multi-skill workflows or diagnosing cross-skill issues.
  • DO NOT USE FOR: any single-skill execution (use that skill directly); the review council itself (use @lean-review-council); the gateway (use @lean-gateway).
  • TRIGGERS: integration protocol, skill integration, cross-skill, skill lifecycle, inter-cluster routing.

Workflow

  1. Identify the cross-skill question: which skills, what data flows, which handoffs.
  2. Pick the lifecycle section of the body matching the flow (document → spec → proof → doc, or council ↔ research).
  3. Produce the integration recipe — explicit sequence of skill invocations + artifact handoffs.
  4. Hand off: to @lean-review-council for council orchestration, to @lean-enforcement for CI, to @lean-zettelkasten.

Recovery & STOP

  • STOP if the question is about a single skill's execution — delegate to that skill directly.
  • STOP if the integration target is the gateway itself — delegate to @lean-gateway.
  • STOP if the protocol would create a cycle — surface the cycle and request HITL design judgment.

Handoffs

  • Predecessors: agent:gateway, skill:lean-research.
  • Successors: skill:lean-review-council, skill:lean-enforcement, skill:lean-zettelkasten.

Detailed reference

Full content for lean-integration-protocol lives in references/lean-integration-protocol-handbook.md. Load that file when the skill is convened; the SKILL.md only carries the dispatch contract and the parts index.

SectionTopic
Part 1The Three Lifecycles
Part 2Standard Workflow Templates
Part 3Inter-Cluster Communication Protocols
Part 4Feedback Loop Inventory
Part 5Personas and Roles (Complete)
Part 6Conflict Resolution
Part 7Bootstrapping a New Project
Part 8Retrofitting an Existing Project (RETRO Protocol Summary)
Part 9Integration Anti-Patterns

See also

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