Fanza developed a thermodynamics module for the HEPLean/PhysLean repository, focusing on ideal gas adiabatic relations. Using Lean and formal verification techniques, Fanza defined entropy for ideal gas processes and formally established the core adiabatic relationships, enabling entropy-directed modeling and verification of fundamental thermodynamic laws. The module’s modular and testable design supports accurate simulations and educational demonstrations, while clear documentation facilitates future maintenance and extension. This work improved the fidelity of ideal-gas adiabatic process modeling in PhysLean, laying a robust foundation for future features. Over the month, Fanza concentrated on feature development, with no reported bug fixes during this period.