forcing_set_theory_independence

Community

Prove independence with forcing in Lean 4.

Authorbneb
Version1.0.0
Installs0

System Documentation

What problem does it solve?

This skill helps formalize and explore statements that are independent of ZFC by constructing forcing extensions and verifying which statements hold in the extended models.

Core Features & Use Cases

  • Formalize independence arguments: annotate and validate where additional axioms are needed.
  • Lean 4 integration: provides templates and skeletons to model forcing notions and generic extensions within Lean 4.
  • Educational use: illustrate classical independence results (e.g., CH) with guided Lean sketches.

Quick Start

Provide a minimal Lean 4 sketch showing that a statement is independent of ZFC by constructing a forcing extension.

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: forcing_set_theory_independence
Download link: https://github.com/bneb/perqed/archive/main.zip#forcing-set-theory-independence

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