lean-math-stochastic

Formalize probability and stochastic processes in Lean 4.

2|Updated May 26, 2026
One-click install
npx skills add https://github.com/r-irbe/proof-skills --skill lean-math-stochastic
Or copy as Structured Prompt for Agent
Please help me install this Agent Skill.
Skill: lean-math-stochastic
Source: https://github.com/r-irbe/proof-skills/tree/main/skills/lean-math-stochastic
Command: npx skills add https://github.com/r-irbe/proof-skills --skill lean-math-stochastic

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes references (resource) components.

What problem does it solve?

This guide helps Lean 4 users formalize probability, stochastic processes, and time-series reasoning, enabling rigorous development and verification of stochastic mathematics.

Core Features & Use Cases

  • Routing & handoffs: clear guidance for assigning tasks across Lean-proof, Lean-research, and related skills.
  • Reference density: points to comprehensive encyclopaedia in references/lean4-math-stochastic.md for in-depth patterns and pipelines.
  • Workflow templates: provides a pipeline blueprint and best practices for probabilistic formalization in Lean 4.

Quick Start

Consult the routing and workflow instructions and load the referenced stochastic encyclopaedia to begin formalizing a concept in Lean 4.

Frequently Asked Questions about lean-math-stochastic

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

FAQPage Schema
How do I formalize stochastic processes and probability theory in Lean 4?

To formalize stochastic processes in Lean 4, load the referenced stochastic encyclopaedia and follow the routing guidelines provided to align with Mathlib APIs and workflow templates for rigorous theorem proving.

What is the best way to structure Lean 4 proofs for Markov chains and ergodic theory?

The best way to structure Lean 4 proofs for Markov chains and ergodic theory is to use the provided pipeline blueprint and best practices, ensuring your formalization aligns with existing Mathlib APIs and stochastic reasoning patterns.

Can I use this approach to verify algorithms involving time-series reasoning in Lean 4?

Yes, you can verify algorithms involving time-series reasoning in Lean 4 by applying the formalization patterns and workflow templates designed to support rigorous mathematical proofs across probability theory and spectral analysis.

Do I need to align with Mathlib APIs when formalizing probability theorems in Lean 4?

Yes, aligning with Mathlib APIs is required when formalizing probability theorems in Lean 4 to ensure proper routing, workflow handoffs, and integration with the broader Lean 4 mathematical library ecosystem.

What are the limitations of formalizing stochastic math in Lean 4?

Limitations of formalizing stochastic math in Lean 4 include navigating complex Mathlib API routing and adhering to strict workflow handoffs, which require intermediate-level understanding of theorem proving and probabilistic formalization pipelines.