theorem-proving

theorem-proving is a skill for Claude Code, Codex from Zaoqu-Liu/ScienceClaw. It costs 23 tokens per session (393 once invoked), scanned A, original, MIT.

A tool for constructing and checking mathematical proofs, with support for LaTeX typesetting and computational checks. It can also test special cases or search for counterexamples using symbolic and numerical calculations.

In plain words
What is it for?
Use it to write proofs by induction or contradiction, verify calculations, format mathematical documents, and explore conjectures.
Why use it?
It helps organize rigorous reasoning and catch algebraic mistakes or false claims during proof development.

Skill for Claude CodeCodex

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

Good fit Use it to write proofs by induction or contradiction, verify calculations, format mathematical documents, and explore conjectures.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/zaoqu-liu/scienceclaw/prismer-theorem-proving
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 Zaoqu-Liu/ScienceClaw --skill prismer-theorem-proving
Clone the repo
git clone --depth 1 https://github.com/Zaoqu-Liu/ScienceClaw

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 theorem-proving

README.md
[![agentmods](https://agentmods.dev/badge/skills/zaoqu-liu/scienceclaw/prismer-theorem-proving/github.svg)](https://agentmods.dev/skills/zaoqu-liu/scienceclaw/prismer-theorem-proving)
Your own site
<a href="https://agentmods.dev/skills/zaoqu-liu/scienceclaw/prismer-theorem-proving"><img src="https://agentmods.dev/badge/skills/zaoqu-liu/scienceclaw/prismer-theorem-proving/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 theorem-proving

Your own site · 80×15
<a href="https://agentmods.dev/skills/zaoqu-liu/scienceclaw/prismer-theorem-proving"><img src="https://agentmods.dev/badge/skills/zaoqu-liu/scienceclaw/prismer-theorem-proving.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 23 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 393 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 $0.00023 $0.00393
Opus 5 $0.00012 $0.00197
Sonnet 5 $0.00005 $0.00079
Haiku 4.5 $0.00002 $0.00039

Measured 7d ago against content hash 117abc46824e, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-10, from the pricing page.

Security

Grade A, and why

theorem-proving 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 7d 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.

skills/prismer-theorem-proving/SKILL.md · 53 lines

What it actually says

Theorem Proving Skill

Description

Assist with constructing, verifying, and typesetting mathematical proofs. Combines rigorous logical reasoning with computational verification.

Tools Used

  • latex_compile - Typeset proofs and mathematical documents (auto-switches to LaTeX editor)
  • update_latex - Write LaTeX content to the editor for review before compiling
  • jupyter_execute - Verify results computationally (sympy, numpy)
  • update_notes - Write proof outlines and scratch work to Notes editor

Capabilities

Proof Construction

  • Direct proofs, proof by contradiction, proof by induction
  • Constructive and non-constructive existence proofs
  • Epsilon-delta arguments in analysis
  • Diagram chasing in algebra/category theory

Verification

  • Symbolic computation to check algebraic manipulations
  • Numerical examples to build intuition
  • Counterexample search for false conjectures
  • Automated checking of special cases

Typesetting

  • AMS theorem environments (theorem, lemma, proposition, corollary, definition)
  • Proper mathematical notation and spacing
  • Cross-references and equation numbering
  • Multi-part proofs with clear structure

Usage Patterns

Prove a Theorem

When user says: "Prove that [statement]"

  1. Clarify definitions and assumptions
  2. Outline proof strategy
  3. Construct formal proof step-by-step
  4. Verify key steps computationally if possible
  5. Typeset in LaTeX with proper environments

Verify a Conjecture

When user says: "Is it true that [conjecture]?"

  1. Test with specific examples (jupyter_execute)
  2. Search for counterexamples
  3. Attempt proof if examples support it
  4. Report findings with confidence level
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. 7d ago First seen · 53 lines · 23 tokens per session scan A 117abc46824e

Subscribe to this mod's changes

theorem-proving is a skill published in the GitHub repository Zaoqu-Liu/ScienceClaw (60 stars, last pushed 5mo ago), licensed MIT. It adds 23 tokens to every session and 393 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 2026-09-03.

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