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-skeleton-generatorgit 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-skeleton-generator)<a href="https://agentmods.dev/skills/arabelatso/skills-4-se/proof-skeleton-generator"><img src="https://agentmods.dev/badge/skills/arabelatso/skills-4-se/proof-skeleton-generator/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-skeleton-generator"><img src="https://agentmods.dev/badge/skills/arabelatso/skills-4-se/proof-skeleton-generator.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 | $0.00122 | $0.01791 |
| Opus 5 | $0.00061 | $0.00896 |
| Sonnet 5 | $0.00024 | $0.00358 |
| Haiku 4.5 | $0.00012 | $0.00179 |
Grade A, and why
proof-skeleton-generator 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 — 267 lines — stays where its author put it; the contents beside it link to each section on GitHub.
Proof Skeleton Generator
Generate structured proof skeletons with tactics, proof strategies, and key lemmas for theorems in Isabelle/HOL or Coq.
Workflow
1. Analyze the Theorem Statement
Examine the theorem to understand:
- Quantifiers: Universal (∀/forall) or existential (∃/exists)
- Logical structure: Implications, conjunctions, disjunctions
- Data types involved: Lists, natural numbers, custom types
- Complexity: Simple equality vs. complex property
2. Choose Target System
Ask the user which proof assistant to target:
- Isabelle/HOL: Uses Isar structured proofs, automatic tactics
- Coq: Uses Ltac tactics, more explicit proof terms
- Both: Generate skeletons for both systems
If not specified, default to generating both versions.
3. Determine Proof Strategy
Based on the theorem structure, identify the appropriate proof technique:
Induction - When theorem involves recursive types:
- List induction for list properties
- Natural number induction for arithmetic
- Structural induction for custom datatypes
- Strong induction when needed
Case Analysis - When theorem involves:
- Boolean conditions
- Option types (None/Some)
- Sum types or custom constructors
- Conditional expressions
Direct Proof - When theorem is:
- Simple equality that simplifies
- Follows directly from definitions
- Provable by automatic tactics
Forward Reasoning - Build up facts:
- Establish intermediate lemmas
- Chain implications
- Construct witnesses for existentials
Backward Reasoning - Work from goal:
- Apply rules to reduce goal
- Split conjunctions
- Introduce implications
4. Identify Required Lemmas
Determine helper lemmas that may be needed:
- Standard library lemmas: Check if already available
- Custom lemmas: Properties that need separate proof
- Induction hypotheses: How they'll be used
- Intermediate facts: Steps in the main proof
5. Generate Proof Skeleton
Use the reference files for tactics and patterns:
- Isabelle tactics: See isabelle_tactics.md
- Coq tactics: See coq_tactics.md
- Complete examples: See examples.md
What ships with it
3 files 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 · 267 lines · 122 tokens per session scan A 0c5cc1239e0c
proof-skeleton-generator is a skill published in the GitHub repository ArabelaTso/Skills-4-SE (252 stars, last pushed 22d ago), licensed Apache-2.0. It adds 122 tokens to every session and 1,791 once invoked, about $0.0006 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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