The Lagrange Protocol is a cross-chain infrastructure that enables the creation of generalized state proofs across all major blockchains. Applications that integrate with the Lagrange Protocol can enable applications submit aggregated proofs of multi-chain states that can be verified in a non-interactive fashion by contracts on other chains. While traditional bridges and messaging protocols rely on groups of nodes to relay information, the Lagrange Protocol can orchestrate real-time proofs of cross-chain state entirely cryptographically, even when submitted by an untrusted user. At launch, the Lagrange Protocol will be compatible with all public Ethereum Virtual Machine (EVM) compatible L1s, L2s and rollups. Soon after, the Lagrange Protocol will also support non-EVM compatible chains including Solana, Sui, Aptos and popular Cosmos SDK based chains.