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mathematical_induction

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Prove statements for all n with induction.

Education & Research#induction#lean4#theorem-proving#strong-induction#mathematical-logic#proof-strategies#structural-induction
Authorbneb
Version1.0.0
Installs0

System Documentation

What problem does it solve?

Proves properties of natural numbers using induction, enabling rigorous formal reasoning in mathematics and computer science.

Core Features & Use Cases

  • Weak induction: base case and inductive step prove statements for all n.
  • Strong induction: allows assuming all smaller cases to prove the n-th case.
  • Lean 4 templates & tactics: guides practical proof scripting and tactic usage in Lean 4 for educational and research contexts.
  • Use Case: formal verification tasks, algorithm correctness proofs, and mathematical induction exercises in Lean.

Quick Start

Prove a property P(n) for all natural numbers by establishing a base case and an inductive step in Lean 4.

Dependency Matrix

Required Modules

None required

Components

Standard package

💻 Claude Code Installation

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Please help me install this Skill:
Name: mathematical_induction
Download link: https://github.com/bneb/perqed/archive/main.zip#mathematical-induction

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