proof-writer

proof-writer is a skill for Claude Code, Codex from Immortalqx/my_codex_skills. It costs 73 tokens per session (1,278 once invoked), scanned A, original, MIT.

A mathematical proof writer for theorems, lemmas, propositions, and corollaries in machine learning or AI theory. It checks whether the stated assumptions actually support the claimed result.

In plain words
What is it for?
Use it to complete proof details, formalize proof sketches, test whether a theorem is justified, or prepare rigorous proof text for research notes and papers.
Why use it?
It helps avoid polished proofs that contain missing steps or unsupported conclusions. When a claim cannot be proved as written, it identifies the problem or states a corrected claim with suitable assumptions.

Skill for Claude CodeCodex

Written for Claude Code and Codex: $ARGUMENTS substitution, but also agents/openai.yaml present.

Good fit Use it to complete proof details, formalize proof sketches, test whether a theorem is justified, or prepare rigorous proof text for research notes and papers.

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Install with agentmods
npx agentmods add skills/immortalqx/my_codex_skills/proof-writer
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.

Any agent
npx skills add Immortalqx/my_codex_skills --skill proof-writer
Clone the repo
git clone --depth 1 https://github.com/Immortalqx/my_codex_skills

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 proof-writer

README.md
[![agentmods](https://agentmods.dev/badge/skills/immortalqx/my_codex_skills/proof-writer/github.svg)](https://agentmods.dev/skills/immortalqx/my_codex_skills/proof-writer)
Your own site
<a href="https://agentmods.dev/skills/immortalqx/my_codex_skills/proof-writer"><img src="https://agentmods.dev/badge/skills/immortalqx/my_codex_skills/proof-writer/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 proof-writer

Your own site · 80×15
<a href="https://agentmods.dev/skills/immortalqx/my_codex_skills/proof-writer"><img src="https://agentmods.dev/badge/skills/immortalqx/my_codex_skills/proof-writer.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 73 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 1,278 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. Third-party audits
  • NVIDIA SkillSpector pass 7 Sept 2026
How audits are shown
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 $0.00073 $0.01278
Opus 5 $0.00036 $0.00639
Sonnet 5 $0.00015 $0.00256
Haiku 4.5 $0.00007 $0.00128

Measured 10d ago against content hash b51a32854eb6, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-09, from the pricing page.

Security

Grade A, and why

proof-writer 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 10d 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.

proof-writer/SKILL.md · 129 lines

How it starts

The opening of the file, as written. The whole thing — 129 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Proof Write: Rigorous Theorem / Lemma Drafting

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

Constants

  • DEFAULT_PROOF_DOC = PROOF_PACKAGE.md in project root
  • STATUS = PROVABLE AS STATED | PROVABLE AFTER WEAKENING / EXTRA ASSUMPTION | NOT CURRENTLY JUSTIFIED

Context: $ARGUMENTS

Goal

Produce exactly one of: 1. a complete proof of the original claim 2. a corrected claim plus a proof of the corrected claim 3. a blockage report explaining why the claim is not currently justified

Inputs

Extract and normalize: - exact theorem / lemma / proposition / corollary statement - explicit assumptions - notation and definitions - any user-provided proof sketch, partial proof, or intended strategy - nearby lemmas or claims in local notes, appendix files, or theorem drafts if the request points to them - desired output style if specified: concise, appendix-ready, or full-detail

If notation or assumptions are ambiguous, state the exact interpretation you are using before proving anything.

Workflow

Step 1: Gather Proof Context

Read the relevant local context: - the chosen target proof file, if it already exists - theorem notes, appendix drafts, or files explicitly mentioned by the user

Extract: - exact claim - assumptions - notation - proof sketch or partial proof - nearby lemmas that the draft may depend on

Step 2: Normalize the Claim

Identify: - hidden assumptions - undefined notation - scope ambiguities - whether the available sketch proves the full claim or only a weaker variant

Preserve the user's original theorem statement unless a change is explicitly required. If you use a stronger normalization or cleaner internal formulation only to make the proof easier, keep that as an internal proof device rather than silently replacing the original claim.

Step 3: Feasibility Triage

Check explicitly: - does the conclusion actually follow from the listed assumptions? - is any cited theorem being used outside its conditions? - is the claim stronger than what the available argument supports? - is there an obvious counterexample, boundary case, or quantifier failure?

Read the full file on GitHub · 129 lines

Files

What ships with it

1 file 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. 10d ago First seen · 129 lines · 73 tokens per session scan A b51a32854eb6

Subscribe to this mod's changes

proof-writer is a skill published in the GitHub repository Immortalqx/my_codex_skills (52 stars, last pushed 1mo ago), licensed MIT. It adds 73 tokens to every session and 1,278 once invoked, about $0.0004 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.

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