Search Mathlib for lemmas by type signature pattern
Skill Development Rules
Guide to the math cognitive stack - what tools exist and when to use each
MCP Script Rules
Idempotent Redundancy
Deterministic router for math cognitive stack - maps user intent to exact CLI commands
Validation agent that validates plan tech choices against current best practices
Query the memory system for relevant learnings from past sessions
AI-powered web search, research, and reasoning via Perplexity
Graceful Degradation with Helpful Messages
Never Use TaskOutput
Create git commits with user approval and no Claude attribution
Formal theorem proving with research, testing, and verification phases
A complete skill for E2E testing
Show full session token usage, costs, TLDR savings, and hook activity
Router-First Architecture
Background Agent Pings
Index at Creation Time
Environment Triage
No Polling for Background Agents