This article explores the formal proof of solvency in Uniswap v4, ensuring that Automated Market Makers (AMMs) always have enough funds to cover withdrawals. By leveraging mathematical invariants, SMT solvers, and precise token accounting, we demonstrate how Uniswap v4 maintains security and solvency.

The Vyper programming language provides a clean memory and control abstraction. In comparison to Solidity, it is considered highly attractive for DeFi programming.