formalize

formalize is a command for coding agents from cameronfreer/lean4-skills. It costs 11 tokens per session (3,458 once invoked), scanned A, original, MIT.

A guided workflow for turning an informal mathematical claim into a checked Lean 4 proof. Lean 4 is a programming language and proof checker for writing precise mathematical proofs.

In plain words
What is it for?
Use it to formalize a claim, optionally use a PDF as source material, choose a proof rigour level, and save the resulting Lean code to a file.
Why use it?
It helps bridge the gap between ordinary mathematical wording and code that a proof checker can verify. It keeps a person involved while drafting and proving the result.

Command

Part of the lean4 plugin — 1 skill, 12 commands, 4 agents, 3 hooks shipped together

Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

agentmods
npx agentmods add commands/cameronfreer/lean4-skills/formalize
Clone the repo
git clone --depth 1 https://github.com/cameronfreer/lean4-skills

Or install lean4, the plugin that ships this one along with the rest of its 1 skill, 12 commands, 4 agents, 3 hooks.

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 formalize

README.md
[![agentmods](https://agentmods.dev/badge/commands/cameronfreer/lean4-skills/formalize.svg)](https://agentmods.dev/commands/cameronfreer/lean4-skills/formalize)
Your own site
<a href="https://agentmods.dev/commands/cameronfreer/lean4-skills/formalize"><img src="https://agentmods.dev/badge/commands/cameronfreer/lean4-skills/formalize.svg" alt="Measured on agentmods" height="20"></a>
Per session 11 Only the description is in the session, so the agent can decide to use it. The body loads when it is invoked.
When invoked 3,458 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. Scan, not verified.
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 $0.00011 $0.03458
Opus 5 $0.00005 $0.01729
Sonnet 5 $0.00002 $0.00692
Haiku 4.5 $0.00001 $0.00346

Measured 4d ago against content hash 3f6f272d1ad7, method: parsed. Prices are Anthropic first-party input rates as of 2026-08-30, from the pricing page.

Security

Grade A, and why

formalize 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 4d ago.

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.

plugins/lean4/commands/formalize.md · 205 lines

How it starts

The opening of the file, as written. The whole thing — 205 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Lean4 Formalize

Interactive formalization: draft Lean skeletons from informal claims, then prove them with guided cycles. Combines /lean4:draft and /lean4:prove in a single human-in-the-loop workflow.

Compatibility: Accepts all flags from old formalize (v4.3.x). Semantics are broader — new formalize runs a full prove cycle after drafting. Users wanting the old lighter-weight "draft + shallow proof attempt" behavior should use /lean4:draft --mode=attempt. Users wanting skeletons only should use /lean4:draft.

Usage

/lean4:formalize "Every continuous function on a compact set is bounded"
/lean4:formalize --rigor=axiomatic "Zorn's lemma implies AC"
/lean4:formalize --source ./paper.pdf          # Ingest, pick claims, formalize
/lean4:formalize --source ./paper.pdf "Theorem 3.2"  # Source as context, topic as claim
/lean4:formalize --output=file --out=MyTheorem.lean "..."

Invocation Contract

Interpret this command's inputs per the Command Invocation Contract.

Primary path (hook-validated): If a validated-invocation block for this command appears in context, treat it as the authoritative interpretation of parser-decidable inputs and do not re-parse the raw invocation text for those inputs. Start by reading all parser-decided fields from the block. Emit the final Resolved Inputs summary from the block values. See Validated Invocation Block.

Fallback path (other hosts): If no validated-invocation block is present, parse the raw invocation text against this command's input table before drafting or proving.

Startup requirements:

  1. Emit a Resolved Inputs block with explicit values, defaults, coercions, ignored flags, and startup validation errors.
  2. Refuse to start on startup validation errors.
  3. Validate output paths and overwrite policy before writing anything.

Inputs

Read the full file on GitHub · 205 lines

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. 4d ago First seen · 205 lines · 11 tokens per session scan A 3f6f272d1ad7

Subscribe to this mod's changes

formalize is a command published in the GitHub repository cameronfreer/lean4-skills (428 stars, last pushed today), licensed MIT. It adds 11 tokens to every session and 3,458 once invoked, about $0.0001 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 2026-08-30.