protoreal-algebra

Formalize and verify a non-associative algebra with Lean 4.

Updated Aug 23, 2026
One-click install
npx skills add https://github.com/Dielawn-01/ProtorealZeta --skill protoreal-algebra
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: protoreal-algebra
Source: https://github.com/Dielawn-01/ProtorealZeta/tree/main
Command: npx skills add https://github.com/Dielawn-01/ProtorealZeta --skill protoreal-algebra

SYSTEM DOCUMENTATION & REQUIREMENTS

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

What problem does it solve?

This Skill formalizes a non-associative algebra, solving complex mathematical problems and enabling advanced applications in physics, AI, and cryptography.

Core Features & Use Cases

  • Non-Associative Algebra: Defines a 5-component algebraic system for non-associative operations.
  • Formal Verification: Contains 2400+ theorems verified with Lean 4, ensuring correctness.
  • Applications: Provides solutions for prime zeta functions, mass gaps, and quantum error correction.

Quick Start

Use the protoreal-algebra skill to verify the bridge identity, which is the fundamental relation of the algebra: ω · ι = -1.

Frequently Asked Questions about protoreal-algebra

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

FAQPage Schema
How do I formally verify a non-associative algebra using Lean?

You can formally verify a non-associative algebra in Lean 4 using this skill's 2400+ theorems. It defines a 5-component algebraic system and verifies the fundamental bridge identity ω · ι = -1.

What is a non-associative algebra used for in cryptography and quantum computing?

A non-associative algebra enables advanced applications in physics, AI, and cryptography. This skill provides formally verified solutions for prime zeta functions, mass gaps, and quantum error correction.

Do I need Lean 4 to verify the bridge identity ω · ι = -1?

Yes, you need Lean 4 to verify the bridge identity ω · ι = -1. This skill requires the Lean 4 prover to check its 2400+ theorems with zero unproven 'sorry' placeholders.

Can I use formal verification for quantum error correction without unproven axioms?

Yes, you can formally verify quantum error correction without unproven axioms using this skill. It contains 2400+ theorems with zero 'sorry' placeholders, ensuring complete mathematical correctness.

How do I formalize prime zeta functions in a non-associative algebraic system?

You formalize prime zeta functions by defining a 5-component non-associative algebraic system. This skill provides the verified mathematical framework to solve prime zeta functions within Lean 4.