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.
npx skills add ArabelaTso/Skills-4-SE --skill proof-refactoring-assistantgit clone --depth 1 https://github.com/ArabelaTso/Skills-4-SEWrote 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.
[](https://agentmods.dev/skills/arabelatso/skills-4-se/proof-refactoring-assistant)<a href="https://agentmods.dev/skills/arabelatso/skills-4-se/proof-refactoring-assistant"><img src="https://agentmods.dev/badge/skills/arabelatso/skills-4-se/proof-refactoring-assistant/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.
<a href="https://agentmods.dev/skills/arabelatso/skills-4-se/proof-refactoring-assistant"><img src="https://agentmods.dev/badge/skills/arabelatso/skills-4-se/proof-refactoring-assistant.svg" alt="Reviewed on agentmods" width="80" height="20"></a>- NVIDIA SkillSpector pass
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.
| Model | Per session | Once invoked |
|---|---|---|
| Fable 5.1 | $0.00070 | $0.03147 |
| Opus 5 | $0.00035 | $0.01573 |
| Sonnet 5 | $0.00014 | $0.00629 |
| Haiku 4.5 | $0.00007 | $0.00315 |
Grade A, and why
proof-refactoring-assistant 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.
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.
How it starts
The opening of the file, as written. The whole thing — 483 lines — stays where its author put it; the contents beside it link to each section on GitHub.
Proof Refactoring Assistant
Overview
Improve proof quality by restructuring Isabelle and Coq proofs for better readability, modularity, and maintainability while preserving semantics. This skill applies proven refactoring patterns to make proofs easier to understand and maintain.
Refactoring Workflow
Step 1: Analyze Current Proof
Identify code smells and improvement opportunities:
-
Structure issues:
- Long, monolithic proofs (>20 lines)
- Deep nesting of proof steps
- Repeated proof patterns
- Complex case analysis
-
Naming issues:
- Generic names (lemma1, helper, aux)
- Inconsistent naming conventions
- Names don't describe what lemma proves
-
Documentation issues:
- Missing comments
- No explanation of complex steps
- Unclear proof strategy
-
Modularity issues:
- No helper lemmas
- Duplicated reasoning
- Overly specific lemmas
-
Complexity issues:
- Manual proofs when automation available
- Weak induction hypotheses
- Unnecessarily complex tactics
Step 2: Identify Refactoring Opportunities
Choose appropriate refactoring patterns:
Extract Helper Lemma:
- Long proof with complex subgoals
- Repeated reasoning
- Reusable intermediate results
Inline Trivial Lemma:
- Helper used only once
- Proof is trivial
- Adds unnecessary indirection
Break Down Long Proof:
- Many cases to handle
- Complex nested structure
- Hard to follow logic
Extract Common Pattern:
- Same proof repeated
- Similar lemmas with minor variations
- Opportunity for generalization
Simplify Proof Structure:
- Complex tactics when simpler ones work
- Manual steps that automation handles
- Unnecessary proof verbosity
Improve Naming:
- Unclear or generic names
- Inconsistent conventions
- Names don't match content
Add Documentation:
- Complex lemmas without explanation
- Non-obvious proof strategies
- Important invariants not stated
Strengthen Induction Hypothesis:
- Induction gets stuck
- Need more general statement
- Weak hypothesis insufficient
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.
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.
- 9d ago First seen · 483 lines · 70 tokens per session scan A 85d7bf18aa7f
proof-refactoring-assistant is a skill published in the GitHub repository ArabelaTso/Skills-4-SE (252 stars, last pushed 22d ago), licensed Apache-2.0. It adds 70 tokens to every session and 3,147 once invoked, about $0.0003 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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