lean-tautology-triage

Classify Lean 4 theorem proofs as vacuous, tautological, or placeholder.

2|Updated May 26, 2026
One-click install
npx skills add https://github.com/r-irbe/proof-skills --skill lean-tautology-triage
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: lean-tautology-triage
Source: https://github.com/r-irbe/proof-skills/tree/main/skills/lean-tautology-triage
Command: npx skills add https://github.com/r-irbe/proof-skills --skill lean-tautology-triage

SYSTEM DOCUMENTATION & REQUIREMENTS

What problem does it solve?

Triages Lean 4 theorem statements to identify vacuous, tautological, or placeholder proofs.

Core Features & Use Cases

  • Rapidly classify statements as VALID-CONTENT, VACUOUS, MISALIGNED, or UNVERIFIED with guidance for remediation.
  • Supports a deterministic workflow: locate claim, classify content, assess proof quality, and propose remediation steps.
  • Useful during proof-site reviews, code audits, and QA lifecycles to reduce false positives and speed up triage.

Quick Start

Analyze a Lean 4 lemma to determine if its proof is vacuous and suggest remediation.

Frequently Asked Questions about lean-tautology-triage

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
How do I identify vacuous or tautological proofs in Lean 4?

To identify vacuous or tautological proofs in Lean 4, apply a deterministic triage workflow that locates claims, classifies content, and assesses proof quality to flag trivial or reflexive-by-rfl patterns. This process rapidly categorizes statements as VALID-CONTENT, VACUOUS, MISALIGNED, or UNVERIFIED.

What are placeholder proofs in Lean 4 and how are they detected during code audits?

Placeholder proofs in Lean 4 are trivial, automation-only claims that pass compilation without meaningful logical verification. They are detected during code audits by applying a rubric-guided triage workflow that locates the claim, classifies its content, and flags reflexive-by-rfl patterns for reviewer remediation.

Can I use this triage process to audit Lean 4 theorem statements during QA lifecycles?

Yes, you can use this triage process to audit Lean 4 theorem statements during QA lifecycles. It applies a deterministic workflow to classify theorem statements as VALID-CONTENT, VACUOUS, MISALIGNED, or UNVERIFIED, reducing false positives and speeding up proof-site reviews.

What is the best way to classify Lean 4 proofs that rely on automation-only claims?

The best way to classify Lean 4 proofs with automation-only claims is using a deterministic triage workflow with a structured rubric. This workflow locates the claim, assesses proof quality by identifying reflexive-by-rfl patterns, and recommends specific remediation steps to improve the proof.

Does this Lean 4 proof review workflow require any external dependencies?

No, this Lean 4 proof review workflow requires no external dependencies to function. It operates independently by applying a rubric-guided triage process that locates claims, classifies content as VALID-CONTENT or VACUOUS, and proposes remediation steps directly during code audits.