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lean-array-list

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Master Lean 4 array/list proof patterns.

Software Engineering#formal verification#proofs#lists#lean4#arrays#bytearray
Authorkim-em
Version1.0.0
Installs0

System Documentation

What problem does it solve?

This Skill provides essential patterns and lemmas for proving properties related to Lean 4's ByteArray, Array, and List types, specifically focusing on indexing, length conversions, and data roundtrips.

Core Features & Use Cases

  • Indexing Proofs: Simplifies proving equalities for element access (data[pos]).
  • Length Conversions: Bridges Array.size and List.length for seamless proofs.
  • Data Roundtrips: Handles conversions between List, Array, and ByteArray with Nat and UInt8.
  • Use Case: When proving that a specific byte at an index in a ByteArray meets a certain condition, this Skill offers the lemmas to correctly access and reason about that byte.

Quick Start

Use the lean-array-list skill to prove that myArray[i]! is equal to myArray.getD i 0 when myArray contains Nat elements.

Dependency Matrix

Required Modules

None required

Components

Standard package

💻 Claude Code Installation

Recommended: Let Claude install automatically. Simply copy and paste the text below to Claude Code.

Please help me install this Skill:
Name: lean-array-list
Download link: https://github.com/kim-em/lean-zip/archive/main.zip#lean-array-list

Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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