lean-no-mathlib

Provide Lean 4 tactic alternatives for proofs without Mathlib.

1|Updated Apr 14, 2026

Search Tags:#software engineering #Lean 4 #proof development #tactic alternatives #Mathlib avoidance

Ready to run

npx skills add https://github.com/fmhall/lean-png --skill lean-no-mathlib-fmhall

💬 Prompt for ChatGPT / Claude Chat▼

Please help me install this Agent Skill.
Skill: lean-no-mathlib
Source: https://github.com/fmhall/lean-png/tree/main/.claude/skills/lean-no-mathlib
Command: npx skills add https://github.com/fmhall/lean-png --skill lean-no-mathlib-fmhall

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes scripts (resource) and references (resource) components.

What problem does it solve?

This Skill provides Lean 4 tactic alternatives for when Mathlib is not available, addressing the need for reliable Lean 4 tactic usage in projects without Mathlib.

Core Features & Use Cases

Tactic Alternatives: Offers replacements for Mathlib tactics such as ring, field_simp, and norm_num.
Manual Proof Techniques: Demonstrates manual proof techniques and workarounds for Lean 4.
Use Case: Ideal for Lean 4 developers who need to prove theorems or solve problems without relying on Mathlib.

Quick Start

To use Lean 4 without Mathlib, activate the skill 'lean-no-mathlib' and apply the appropriate tactic alternatives to your Lean proofs.

Frequently Asked Questions about lean-no-mathlib

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

FAQPage Schema

How do I prove theorems in Lean 4 without Mathlib?▼

To prove theorems in Lean 4 without Mathlib, you can use manual proof techniques and core Lean 4 functionality as alternatives to Mathlib-specific tactics. This approach is ideal for projects needing to avoid Mathlib dependencies.

What are the best Lean 4 tactic alternatives for ring and field_simp?▼

The best Lean 4 tactic alternatives for `ring`, `field_simp`, and `norm_num` involve manual proof techniques and workarounds using core Lean 4 and Std functionality. These replacements ensure reliable proof development without Mathlib.

Can I use Std functionality to replace Mathlib tactics in Lean 4?▼

Yes, you can use core Lean 4 and Std functionality to replace Mathlib tactics. This Skill provides specific tactic alternatives and manual proof techniques for proof development workflows that need to avoid Mathlib.

Why does my Lean 4 proof fail when Mathlib is not available?▼

Your Lean 4 proof fails without Mathlib because tactics like `ring` and `norm_num` are Mathlib-specific. You need manual proof techniques and core Lean 4 tactic alternatives to solve problems when Mathlib is not available.

When do I need to use manual proof techniques in Lean 4?▼

You need to use manual proof techniques in Lean 4 when your project requires proof development without Mathlib. This approach provides workarounds and tactic alternatives for reliable proving in environments avoiding Mathlib dependencies.