Math product management
APM-installable agent skills for Lean 4 and Mathlib4 — proof tactics, math domains, review and research workflows, generic tooling.
npx -y skills add r-irbe/proof-skills --skill math-product-managementAssembled from the repository path, not quoted from the project. Check it against their README if it does not work.
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USE FOR: Product management for mathematical formalization projects — roadmap creation, stakeholder management, feature prioritization for formal verification artifacts, theorem portfolio management, release planning, and the business/academic value analysis of formal proofs. Complements math-project-management (scheduling/execution) with strategic product thinking. DO NOT USE FOR: project-level scheduling (use @math-project-management); strategy methodology (use @applied-strategy-analysis); engineering discipline view (use @applied-engineering-disciplines). TRIGGERS: product management, roadmap, stakeholder management, feature prioritization, formal verification PM.
SKILL.md
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Math Product Management
Strategic product thinking applied to formal verification projects. While math-project-management handles execution (schedules, tasks, milestones), this skill handles strategy (what to build, for whom, why, and in what order).
Routing
- USE FOR: Product management for mathematical formalization projects — roadmap creation, stakeholder management, feature prioritization for formal verification artifacts, theorem portfolio management, release planning, and the business/academic value analysis of formal proofs. Complements math-project-management (scheduling/execution) with strategic product thinking.
- DO NOT USE FOR: project-level scheduling (use @math-project-management); strategy methodology (use @applied-strategy-analysis); engineering discipline view (use @applied-engineering-disciplines).
- TRIGGERS: product management, roadmap, stakeholder management, feature prioritization, formal verification PM.
Workflow
- Frame the product question: roadmap, prioritisation, stakeholder communication, or scope decision.
- Pick the matching template; identify data inputs needed (theorem counts, dependency graph, coverage matrix).
- Produce the artifact (roadmap, RICE table, stakeholder brief).
- Hand off: to
@math-project-managementfor scheduling, to@lean-retro-methodologyfor retro-driven re-prioritisation, to@lean-zettelkasten.
Recovery & STOP
- STOP if the question is operational scheduling — delegate to
@math-project-management. - STOP if a strategic-analysis lens dominates — delegate to
@applied-strategy-analysis. - STOP if data inputs are missing — escalate to audit / blueprint skills first.
Handoffs
- Predecessors:
agent:gateway,skill:lean-research. - Successors:
skill:math-project-management,skill:lean-retro-methodology,skill:lean-zettelkasten.
Detailed reference
Full content for math-product-management lives in
references/math-product-management-handbook.md.
Load that file when the skill is convened; the SKILL.md only carries
the dispatch contract and the parts index.
| Section | Topic |
|---|---|
| Part 1 | Product vs. Project Management |
| Part 2 | Theorem Portfolio Management |
| Part 3 | Stakeholder Analysis |
| Part 4 | Roadmap Planning |
| Part 5 | Value Analysis |
| Part 6 | Decision Frameworks |
| Part 7 | Metrics and Analytics |
| Part 8 | Cross-References |
See also
../../references/math-product-management-handbook.md— Full handbook (extracted from this skill)../math-project-management/SKILL.md— Successor../lean-retro-methodology/SKILL.md— Successor../lean-zettelkasten/SKILL.md— Successor