lean4-memories

lean4-memories is a skill for Claude Code, Codex from benchflow-ai/skillsbench. It costs 45 tokens per session (2,974 once invoked), scanned A, original, Apache-2.0.

A memory system for Lean 4, a programming language used to write machine-checked mathematical proofs. It keeps useful proof patterns, failed approaches, project conventions, and preferences between sessions.

In plain words
What is it for?
Use it to remember successful Lean proofs, avoid previously failed approaches, and carry project knowledge into later formalization sessions.
Why use it?
It prevents repeated work when a proof problem or project convention has already been handled before.

Skill for Claude CodeCodex

Written for no agent in particular: nothing here depends on one.

Not installable: its command points at a path on the author’s own machine, so it runs nowhere else. The line is /Users/freer/work/exch-repos/exchangeability-cursor.

Good fit Use it to remember successful Lean proofs, avoid previously failed approaches, and carry project knowledge into later formalization sessions.

Compare 6 skills from other repositories ↓
About the project

SkillsBench is a benchmark for measuring how effectively AI agents use modular skills—folders containing instructions, scripts, and resources—to complete specialized tasks. It helps researchers and developers evaluate both skill quality and agent behavior, including tasks that require combining multiple skills. The catalogue’s skills and instructions are evaluated as part of this workflow.

benchflow-ai/skillsbench · 1,764 stars · on GitHub · skillsbench.ai

Install

Getting it into your agent

There is no command for this one: it runs only inside a plugin, and the catalogue could not identify which plugin ships it. The source is linked below.

Made for: Claude Code, Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for lean4-memories

README.md
[![agentmods](https://agentmods.dev/badge/skills/benchflow-ai/skillsbench/lean4-memories/github.svg)](https://agentmods.dev/skills/benchflow-ai/skillsbench/lean4-memories)
Your own site
<a href="https://agentmods.dev/skills/benchflow-ai/skillsbench/lean4-memories"><img src="https://agentmods.dev/badge/skills/benchflow-ai/skillsbench/lean4-memories/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for lean4-memories

Your own site · 80×15
<a href="https://agentmods.dev/skills/benchflow-ai/skillsbench/lean4-memories"><img src="https://agentmods.dev/badge/skills/benchflow-ai/skillsbench/lean4-memories.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 45 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 2,974 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe.
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00045 $0.02974
Opus 5 $0.00023 $0.01487
Sonnet 5 $0.00009 $0.00595
Haiku 4.5 $0.00005 $0.00297

Measured 9d ago against content hash 158e14b3e8a1, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-12, from the pricing page.

Security

Grade A, and why

lean4-memories scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 9d ago.

The scan reads SKILL.md. This mod also ships 1 executable file (scripts/memory_helper.py), listed below but not scanned — reading those needs a real analyzer, not pattern matching.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

Origin

Copies of this mod

1 near-identical copy found in the catalogue:

tasks/lean4-proof/environment/skills/lean4-memories/SKILL.md · 444 lines

How it starts

The opening of the file, as written. The whole thing — 444 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Lean 4 Memories

Overview

This skill enables persistent learning and knowledge accumulation across Lean 4 formalization sessions by leveraging MCP (Model Context Protocol) memory servers. It transforms stateless proof assistance into a learning system that remembers successful patterns, avoids known dead-ends, and adapts to project-specific conventions.

Core principle: Learn from each proof session and apply accumulated knowledge to accelerate future work.

When to Use This Skill

This skill applies when working on Lean 4 formalization projects, especially:

  • Multi-session projects - Long-running formalizations spanning days/weeks/months
  • Repeated proof patterns - Similar theorems requiring similar approaches
  • Complex proofs - Theorems with multiple attempted approaches
  • Team projects - Shared knowledge across multiple developers
  • Learning workflows - Building up domain-specific proof expertise

Especially important when:

  • Starting a new session on an existing project
  • Encountering a proof pattern similar to previous work
  • Trying an approach that previously failed
  • Needing to recall project-specific conventions
  • Building on successful proof strategies from earlier sessions

How Memory Integration Works

Memory Scoping

All memories are scoped by:

  1. Project path - Prevents cross-project contamination
  2. Skill context - Memories tagged with lean4-memories
  3. Entity type - Structured by pattern type (ProofPattern, FailedApproach, etc.)

Example scoping:

Project: /Users/freer/work/exch-repos/exchangeability-cursor
Skill: lean4-memories
Entity: ProofPattern:condExp_unique_pattern

Memory Types

1. ProofPattern - Successful proof strategies

Store when: Proof completes successfully after exploration
Retrieve when: Similar goal pattern detected

2. FailedApproach - Known dead-ends to avoid

Store when: Approach attempted but failed/looped/errored
Retrieve when: About to try similar approach

Read the full file on GitHub · 444 lines

Files

What ships with it

2 files beside SKILL.md in the same directory: the scripts, references and assets a skill reads on demand. Not counted in the per-session cost; read them before you install if any of them is executable.

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 9d ago First seen · 444 lines · 45 tokens per session scan A 158e14b3e8a1

Subscribe to this mod's changes

lean4-memories is a skill published in the GitHub repository benchflow-ai/skillsbench (1,764 stars, last pushed 1mo ago), licensed Apache-2.0. It adds 45 tokens to every session and 2,974 once invoked, about $0.0002 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-09-03.

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