Formalize nonlinear dynamical systems and stability proofs in Lean 4.
npx skills add https://github.com/r-irbe/proof-skills --skill lean-math-dynamical
Please help me install this Agent Skill. Skill: lean-math-dynamical Source: https://github.com/r-irbe/proof-skills/tree/main/skills/lean-math-dynamical Command: npx skills add https://github.com/r-irbe/proof-skills --skill lean-math-dynamical
Formalize nonlinear dynamical systems, stability proofs, and bifurcation analysis within Lean 4 to improve correctness, reusability, and rigorous verification.
Install the lean-math-dynamical skill and start formalizing a deterministic dynamical system in Lean 4 using the provided Lyapunov and bifurcation templates.
High-intent search queries and answers about installing and using this skill.
You can formalize Lyapunov stability proofs in Lean 4 using guided templates for constructing Lyapunov candidates and verifying deterministic dynamical systems. This ensures rigorous correctness and reusability aligned with Mathlib4.
The best way to structure bifurcation analysis in Lean 4 is by using formalization templates that coordinate handoffs to related skills like lean-proof. This workflow provides reusable patterns for rigorous analysis aligned with Mathlib4.
Yes, you can use this approach for phase-portrait analysis and equilibria classification. The workflow provides guided steps for classifying deterministic systems and performs rigorous phase-space analysis within Lean 4.
No specific external dependencies are required to formalize dynamical systems with this workflow. It operates independently but provides a routing matrix to coordinate handoffs to lean-proof and lean-math-analysis when needed.
You find reusable patterns for nonlinear dynamical systems by referencing the centralized dynamical-systems encyclopedia included in the workflow. This provides best practices for managing cross-skill handoffs and searching for formalization patterns.
r-irbeRoute Lean 4 optimization and game theory proofs via centralized handoffs.
zachmayerFormalize mathematical theorems in Lean 4 with blueprint-driven dependency tracking.
jeffrey-dot-liRefactor existing Lean proofs for brevity, clarity, and documentation.
bnebDerive proofs by contradiction in Lean 4 using by_contra and absurd.
