SKILLEMALL.ai
GitHub ↗ RU Sign in

AF lean4-theorem-proving

Use when working with Lean 4 (.lean files), writing mathematical proofs, seeing "failed to synthesize instance" errors, managing sorry/axiom elimination, or searching mathlib for lemmas - provides build-first workflow, haveI/letI patterns, compiler-guided repair, and LSP integration

ClawHub Agent Skills author: wu-uk v0.1.0 MIT-0 22 files body ≈ 2 162 tokens Open the sourceclawhub.ai↗ analyzed 3 d ago

As a process F 28/100 · Will not run — References files that are not bundled: ../../COMMANDS.md, ../../scripts/README.md

ProcedureSoftware developmentInfrastructuretype and topics are labelled automatically from the skill text
Runs in: OpenClaw Claude / Claude Code ChatGPT / Codex Gemini CLI Cursor GitHub Copilot / VS Code Qwen Code Kimi Code CLI Z.ai (GLM) DeepSeek (Deep Code) Mistral Vibe LangChain (deepagents) Goose OpenCode
JSON
Technical rating
A
90/100
safety, quality, tests
Safety 60%
100
Quality 40%
75
Run on models
none yet
Process rating
F
28/100
Will not run
References files that are not bundled: ../../COMMANDS.md, ../../scripts/README.md
Tools and files w 18
0
Result and completion w 14
0
Inputs and preconditions w 11
0
the three weakest of ten parameters · all ten

How to improve

  1. The text references files that are not there: add them or drop the references.
For the model run — optional
  • Your own cases (evals/evals.json, 4–6 real requests with expected answers): the full check would then run those instead of a model-drafted suite.
  • A spec.yaml with trigger phrases and assertions — a behaviour contract for CI; `skilltest init` writes a template.

Guard findings · 0

✓ No critical or high findings

Files scanned: 22. Evidence is masked. Grey chips explain why severity was lowered.

Against the Agent Skills spec

  • warning missing-ref reference to a missing file: ../../COMMANDS.md
  • warning missing-ref reference to a missing file: ../../scripts/README.md

Process rating: all ten parameters 28/100

Will not run. References files that are not bundled: ../../COMMANDS.md, ../../scripts/README.md
  • 0Tools and files. 2 referenced file(s) missing: ../../COMMANDS.md, ../../scripts/README.md
  • 0Result and completion. Does not say what the result is
  • 0Inputs and preconditions. Does not say what the process needs to start
  • 0Failures and branches. Linear process with no failure handling
  • 0Progress reporting. Says nothing while it works
  • 20When it triggers. No condition that starts the skill
  • 30Running it twice. 4 mutating operations with no state check
  • 40Consistency. Frontmatter name (lean4-theorem-proving) differs from the folder (lean4-proof-lean4-theorem-proving)
  • 100Steps. 27 steps
  • 100Execution cost. Instruction body is 2162 tokens
  • low 15 top-level sections: this looks like several domains in one skill

Everything here is measured from the skill text rather than judged by a model, so the numbers are checkable. A parameter weighs more when it is a more common reason for the process to stall.

Quality signals

  • +5Description has no quoted example phrases that should trigger the skill
  • +4Description does not say when NOT to use the skill (false activations)
  • +3Output format is not stated: the model decides each time
  • +4No input/output examples
  • +1No license
  • +2Single-language instructions
  • +3Description length 283: enough signal without eating the budget
  • +4Structure: 16 headings
  • +3Step-by-step instructions: 27 items
  • +4Reference files are cited in the instructions (18 of 20)

Quality base 70; lint remarks subtract, signals add up to 100. Result: 75.

External checks

ClawHub: clean
This is a documentation-only Lean 4 proof-assistance skill with expected build, search, repair, and optional external lookup workflows, but users should be careful with external searches and generated patches.
LLM: benign (high) · VirusTotal: · 29 May 2026