Agent skill

Proof Writer

by AI4Scientist in AI4Scientist/nano-scientist

Writes rigorous mathematical proofs for ML/AI theory. An agent skill from AI4Scientist/nano-scientist.

No licenceAuto-check passedResearch & Science

Install Proof Writer

skills CLI
$ npx skills add AI4Scientist/nano-scientist --skill proof-writer -a claude-code

Project install by default; add -g for ~/.claude/skills/.

GitHub CLI
$ gh skill install AI4Scientist/nano-scientist proof-writer --agent claude-code

Project scope by default; add --scope user for a personal install. Needs GitHub CLI 2.90.0 or later (public preview).

Manual copy
$ git clone --depth 1 https://github.com/AI4Scientist/nano-scientist.git skills-src && mkdir -p .claude/skills && cp -r skills-src/skills/proof-writer .claude/skills/proof-writer && rm -rf skills-src

Use ~/.claude/skills/ instead of .claude/skills for a personal install. The folder must contain SKILL.md.

Claude Code skills documentation · loads skills from .claude/skills/

Facts

Skill name
proof-writer
GitHub stars
128
Used in
5 other repos
Token cost
~1.9k tokens
SKILL.md length
959 words
Files
1
Skills in repo
74
Repo updated
First seen
Licence
None found

At a glance

Writes rigorous mathematical proofs for ML/AI theory. An agent skill from AI4Scientist/nano-scientist.

  • Works in 6 steps: Gather Proof Context → Normalize the Claim → Feasibility Triage → …
  • Asked to prove a theorem
  • SKILL.md covers Constants, Context: $ARGUMENTS, Goal and Inputs, plus 5 more sections
  • Instructions only: no scripts, shell commands, URLs or credentials in SKILL.md

What it does

Proof Writer is an agent skill from AI4Scientist/nano-scientist. Writes rigorous mathematical proofs for ML/AI theory. Use when asked to prove a theorem, lemma, proposition, or corollary, fill in missing proof steps, formalize a proof sketch, 补全证明, 写证明, 证明某个命题, or determine whether a claimed proof can actually be completed under the stated assumptions.

Its SKILL.md is about 1.9k tokens, which your agent loads only when the skill is triggered. It is a single SKILL.md file with no bundled scripts.

It sits in Research & Science. The repository describes itself as: An autonomous research agent that turns a topic into a peer-reviewed technical report.

When your agent uses it

  • Asked to prove a theorem
  • Fill in missing proof steps
  • Formalize a proof sketch
  • Determine whether a claimed proof can actually be completed under the stated assumptions

Example prompts

  • “Use the proof-writer skill to write rigorous mathematical proofs for ML/AI theory. An agent skill from AI4Scientist/nano-scientist”
  • “/proof-writer”

Requirements

  • Pre-approved tools (allowed-tools): Read, Write, Edit, Grep, Glob

Workflow steps

6 steps, taken from the step headings in SKILL.md.

  1. Gather Proof Context
  2. Normalize the Claim
  3. Feasibility Triage
  4. Build a Dependency Map
  5. Write the Proof Document
  6. Final Verification

What it can do on your machine

Read from SKILL.md and the folder at commit 7132192. It shows what the files ask for, not the result of running them.

  • Tool permissions

    Pre-approves these tools, so the agent can use them without asking each time:

    • Read
    • Write
    • Edit
    • Grep
    • Glob

    From allowed-tools in the SKILL.md frontmatter.

  • Runs code

    No scripts in the folder and no shell commands in SKILL.md (its code samples are markdown).

    From the folder's file list and the shell code blocks in SKILL.md.

  • Network

    No URLs in SKILL.md.

    From URLs in SKILL.md, links to its own repository left out.

  • Credentials

    Names no API keys, tokens, secrets or passwords.

    From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.

Context cost

Proof Writer loads about 1.9k tokens when it runs. Until then it costs about 76 tokens; SKILL.md has 959 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~76
When it runs · the whole SKILL.md, loaded when a task matches
~1.9k

Estimates: characters ÷ 4, the usual rule of thumb; real counts depend on the model's tokenizer. Scripts and assets cost tokens only if the agent reads them.

Safety

Auto-check passed

The automated check found no risky patterns in SKILL.md.

Automated static check — not a guarantee. Review scripts before installing. It scans the text of SKILL.md for risky patterns (piping downloads into a shell, reading credential files, hidden Unicode, destructive commands); files beside SKILL.md are not scanned.

SKILL.md

Without a licence we can't republish the file, so here is its outline and opening line. It has 959 words (~1,892 tokens).

“Write a mathematically honest proof package, not a polished fake proof.”

— opening of SKILL.md by AI4Scientist
name
proof-writer
allowed-tools
Read, Write, Edit, Grep, Glob
argument-hint
theorem-statement-and-assumptions

Read the full SKILL.md on GitHub

Files

Just SKILL.md in skills/proof-writer of AI4Scientist/nano-scientist.

Open the folder on GitHubat commit 7132192

Used in 5 other repositories

We found 10 copies of this SKILL.md (exact, near-identical or edited) in other folders, from 5 other GitHub owners. This page covers the copy in AI4Scientist/nano-scientist, which our catalogue first saw on October 7, 2026.

Compare with similar skills

Proof Writer next to the 5 skills that share the most tags, products or categories with it. Stars are the repository's; “used in” counts other GitHub owners with a copy.

Proof Writer compared with similar skills
SkillStarsUsed inTokensAuto-checkLicenceRepo updated
Proof Writer this skillAI4Scientist/nano-scientist1285 repos~1.9kAutomated safety check: PassNone
Hypothesis Generationspacering-net/codeg3.9k14 repos~3.6kAutomated safety check: NotesMIT
GitHub Deep Researchbytedance/deer-flow84k4 repos~1.3kAutomated safety check: PassMIT
Nature Paper CardYuan1z0825/nature-skills47k2 repos~2.1kAutomated safety check: PassApache-2.0
Content Research Writerweapp-tailwindcss/weapp-tailwindcss1.9k25 repos~3.5kAutomated safety check: PassMIT
Peer Reviewspacering-net/codeg3.9k17 repos~5.9kAutomated safety check: NotesMIT

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Questions about Proof Writer

What does Proof Writer do?

Writes rigorous mathematical proofs for ML/AI theory. An agent skill from AI4Scientist/nano-scientist. Proof Writer is an agent skill from AI4Scientist/nano-scientist. Writes rigorous mathematical proofs for ML/AI theory.

When should I use Proof Writer?

Proof Writer fits situations like: asked to prove a theorem; fill in missing proof steps; formalize a proof sketch; determine whether a claimed proof can actually be completed under the stated assumptions.

How do I install Proof Writer in Claude Code?

Run `npx skills add AI4Scientist/nano-scientist --skill proof-writer -a claude-code`. Or copy the skill folder (skills/proof-writer in AI4Scientist/nano-scientist) into .claude/skills/proof-writer in your project. Claude Code loads it when a task matches its description.

How do I install Proof Writer in Codex?

Run `npx skills add AI4Scientist/nano-scientist --skill proof-writer -a codex`. Or copy the skill folder (skills/proof-writer in AI4Scientist/nano-scientist) into .agents/skills/proof-writer in your project. Codex loads it when a task matches its description.

Can I use Proof Writer in Cursor, Gemini CLI or GitHub Copilot?

Cursor, Gemini CLI, GitHub Copilot and OpenCode also load SKILL.md folders. With the skills CLI, run `npx skills add AI4Scientist/nano-scientist --skill proof-writer -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/proof-writer, .gemini/skills/proof-writer, .github/skills/proof-writer and .opencode/skills/proof-writer in your project.

What does Proof Writer need to run?

SKILL.md names no scripts, command-line tools or credentials: Proof Writer is instructions for the agent only. Its frontmatter pre-approves these tools: Read, Write, Edit, Grep, Glob.

Does Proof Writer access the network?

SKILL.md contains no URLs. Any network use would come from the scripts or tools the agent runs. This is read from the text; nothing was executed.

Is Proof Writer safe to install?

Our automated static check of SKILL.md found no risky patterns, such as piping downloads into a shell, reading credential files or hidden Unicode. It is not a guarantee. Review the folder before installing.

What licence does Proof Writer use?

No licence was found for Proof Writer or its repository. Without one, default copyright applies: ask the author before reusing or redistributing it.

How many tokens does Proof Writer use?

About 1.9k tokens (SKILL.md is roughly 7.6k characters). Agents keep only the skill's name and description in context until a task matches; then they load SKILL.md in full.

What are the alternatives to Proof Writer?

Skills that share tags, products or a category with Proof Writer: Hypothesis Generation (spacering-net/codeg, 3.9k stars), GitHub Deep Research (bytedance/deer-flow, 84k stars), Nature Paper Card (Yuan1z0825/nature-skills, 47k stars) and Content Research Writer (weapp-tailwindcss/weapp-tailwindcss, 1.9k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Proof Writer?

AI4Scientist (a GitHub organization) maintains it in AI4Scientist/nano-scientist, which has 128 GitHub stars. The repository holds 74 skills in this directory. The repository was last updated on June 3, 2026.

Source: AI4Scientist/nano-scientist on GitHub. Facts on this page come from the repository at the commit we read; the author's words are quoted as theirs.