MCPInstall

loogle-search

Search Mathlib for lemmas by type signature pattern

Installs
485
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Install

Works with every agent the skills CLI supports.

npx skills add https://github.com/parcadei/continuous-claude-v3 --skill loogle-search
  1. 01

    Install

    Run the command in your project. The CLI asks which agents to install for.

  2. 02

    Describe the task

    Ask your agent for something this skill covers. It loads loogle-search automatically when relevant.

  3. 03

    Review the result

    The agent follows the SKILL.md steps, scripts and references bundled with the skill.

SKILL.md

The instructions your agent reads when the skill is triggered.

Loogle Search - Mathlib Type Signature Search

Search Mathlib for lemmas by type signature pattern.

When to Use

  • Finding a lemma when you know the type shape but not the name
  • Discovering what's available for a type (e.g., all Nontrivial ↔ _ lemmas)
  • Type-directed proof search

Commands

# Search by pattern (uses server if running, else direct)
loogle-search "Nontrivial _ ↔ _"
loogle-search "(?a → ?b) → List ?a → List ?b"
loogle-search "IsCyclic, center"

# JSON output
loogle-search "List.map" --json

# Start server for fast queries (keeps index in memory)
loogle-server &

Query Syntax

PatternMeaning
_Any single type
?a, ?bType variables (same variable = same type)
Foo, BarMust mention both Foo and Bar
Foo.barExact name match

Examples

# Find lemmas relating Nontrivial and cardinality
loogle-search "Nontrivial _ ↔ _ < Fintype.card _"

# Find map-like functions
loogle-search "(?a → ?b) → List ?a → List ?b"
# → List.map, List.pmap, ...

# Find everything about cyclic groups and center
loogle-search "IsCyclic, center"
# → commutative_of_cyclic_center_quotient, ...

# Find Fintype.card lemmas
loogle-search "Fintype.card"

Performance

  • With server running: ~100-200ms per query
  • Cold start (no server): ~10s per query (loads 343MB index)

Setup

Loogle must be built first:

cd ~/tools/loogle && lake build
lake build LoogleMathlibCache  # or use --write-index

Integration with Proofs

When stuck in a Lean proof:

  1. Identify what type shape you need
  2. Query Loogle to find the lemma name
  3. Apply the lemma in your proof
-- Goal: Nontrivial G from 1 < Fintype.card G
-- Query: loogle-search "Nontrivial _ ↔ 1 < Fintype.card _"
-- Found: Fintype.one_lt_card_iff_nontrivial
exact Fintype.one_lt_card_iff_nontrivial.mpr h

FAQ

What does the loogle-search skill do?

Search Mathlib for lemmas by type signature pattern

How do I install loogle-search?

Run npx skills add https://github.com/parcadei/continuous-claude-v3 --skill loogle-search in your project. The skills CLI detects the agents you use and copies the skill into the right folder. For Claude Code you can also place the skill folder at ~/.claude/skills/loogle-search/ (personal) or .claude/skills/loogle-search/ (project).

Which AI agents can use loogle-search?

Any agent that supports the open Agent Skills format (a folder with a SKILL.md file), including Claude Code, Codex, Cursor, GitHub Copilot, Gemini CLI, Windsurf, Cline, OpenCode and more.

Is loogle-search safe to install?

No partner security audit is available yet. Skills can run commands and scripts, so read the SKILL.md and any bundled files before installing.

Who maintains loogle-search?

It is published by parcadei in parcadei/continuous-claude-v3. It has 485 recorded installs.

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