Agent skill

Prove Plus Comm

by lazyFrogLOL in lazyFrogLOL/Harness_Engineering

Guide for completing Coq proofs involving arithmetic properties like addition commutativity.

No licenceAuto-check passed

Install Prove Plus Comm

skills CLI
$ npx skills add lazyFrogLOL/Harness_Engineering --skill prove-plus-comm -a claude-code

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

GitHub CLI
$ gh skill install lazyFrogLOL/Harness_Engineering prove-plus-comm --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/lazyFrogLOL/Harness_Engineering.git skills-src && mkdir -p .claude/skills && cp -r skills-src/skills/prove-plus-comm .claude/skills/prove-plus-comm && 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
prove-plus-comm
GitHub stars
128
Token cost
~1.2k tokens
SKILL.md length
537 words
Files
1
Skills in repo
32
Repo updated
First seen
Licence
None found

At a glance

Guide for completing Coq proofs involving arithmetic properties like addition commutativity.

  • Works in 5 steps: Understand the Proof Structure → Analyze the Proof State → Apply Standard Lemmas → …
  • SKILL.md covers When to Use, Approach, Verification Strategy and Common Pitfalls, plus 1 more section
  • Instructions only: no scripts, shell commands, URLs or credentials in SKILL.md

What it does

Prove Plus Comm is an agent skill from lazyFrogLOL/Harness_Engineering. Guide for completing Coq proofs involving arithmetic properties like addition commutativity. This skill should be used when working on Coq proof files that require proving properties about natural number arithmetic using induction, particularly when lemmas like plusnO and plusnSm are involved.

Its SKILL.md is about 1.2k tokens, which your agent loads only when the skill is triggered. It is a single SKILL.md file with no bundled scripts.

Example prompts

  • “/prove-plus-comm”

Workflow steps

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

  1. Understand the Proof Structure
  2. Analyze the Proof State
  3. Apply Standard Lemmas
  4. Rewrite Direction Convention
  5. Standard Proof Pattern for Addition Commutativity

What it can do on your machine

Read from SKILL.md and the folder at commit cae3b25. It shows what the files ask for, not the result of running them.

  • Tool permissions

    Pre-approves nothing: there is no allowed-tools line, so your agent's usual permission prompts apply.

    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 coq).

    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

Prove Plus Comm loads about 1.2k tokens when it runs. Until then it costs about 79 tokens; SKILL.md has 537 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~79
When it runs · the whole SKILL.md, loaded when a task matches
~1.2k

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 537 words (~1,178 tokens).

“This skill provides guidance for completing Coq proofs involving arithmetic properties on natural numbers, particularly addition commutativity and related lemmas.”

— opening of SKILL.md by lazyFrogLOL
name
prove-plus-comm

Read the full SKILL.md on GitHub

Files

Just SKILL.md in skills/prove-plus-comm of lazyFrogLOL/Harness_Engineering.

Open the folder on GitHubat commit cae3b25

Compare with similar skills

Prove Plus Comm 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.

Prove Plus Comm compared with similar skills
SkillStarsUsed inTokensAuto-checkLicenceRepo updated
Prove Plus Comm this skilllazyFrogLOL/Harness_Engineering128—~1.2kAutomated safety check: PassNone
CSS At Propertythedaviddias/Front-End-Checklist74k—~602Automated safety check: PassMIT
Proof Videoopenclaw/openclaw392k—~2.4kAutomated safety check: PassMIT
Internal Comms Anthropicsickn33/agentic-awesome-skills47k1 repos~702Automated safety check: PassApache-2.0
Logical Propertiesthedaviddias/Front-End-Checklist74k—~526Automated safety check: PassMIT
Internal Commsalirezarezvani/claude-skills28k—~3.4kAutomated safety check: PassMIT

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Questions about Prove Plus Comm

What does Prove Plus Comm do?

Guide for completing Coq proofs involving arithmetic properties like addition commutativity. Prove Plus Comm is an agent skill from lazyFrogLOL/Harness_Engineering. Guide for completing Coq proofs involving arithmetic properties like addition commutativity.

How do I install Prove Plus Comm in Claude Code?

Run `npx skills add lazyFrogLOL/Harness_Engineering --skill prove-plus-comm -a claude-code`. Or copy the skill folder (skills/prove-plus-comm in lazyFrogLOL/Harness_Engineering) into .claude/skills/prove-plus-comm in your project. Claude Code loads it when a task matches its description.

How do I install Prove Plus Comm in Codex?

Run `npx skills add lazyFrogLOL/Harness_Engineering --skill prove-plus-comm -a codex`. Or copy the skill folder (skills/prove-plus-comm in lazyFrogLOL/Harness_Engineering) into .agents/skills/prove-plus-comm in your project. Codex loads it when a task matches its description.

Can I use Prove Plus Comm 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 lazyFrogLOL/Harness_Engineering --skill prove-plus-comm -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/prove-plus-comm, .gemini/skills/prove-plus-comm, .github/skills/prove-plus-comm and .opencode/skills/prove-plus-comm in your project.

What does Prove Plus Comm need to run?

SKILL.md names no scripts, command-line tools or credentials: Prove Plus Comm is instructions for the agent only.

Does Prove Plus Comm 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 Prove Plus Comm 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 Prove Plus Comm use?

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

How many tokens does Prove Plus Comm use?

About 1.2k tokens (SKILL.md is roughly 4.7k 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 Prove Plus Comm?

Skills that share tags, products or a category with Prove Plus Comm: CSS At Property (thedaviddias/Front-End-Checklist, 74k stars), Proof Video (openclaw/openclaw, 392k stars), Internal Comms Anthropic (sickn33/agentic-awesome-skills, 47k stars) and Logical Properties (thedaviddias/Front-End-Checklist, 74k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Prove Plus Comm?

lazyFrogLOL (a GitHub user) maintains it in lazyFrogLOL/Harness_Engineering, which has 128 GitHub stars. The repository holds 32 skills in this directory. The repository was last updated on May 18, 2026.

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