Imagine a world where every inference made by AI and every model output can be 'mathematically proven' for its authenticity without exposing the raw data. Lagrange's vision is to make this 'verifiable AI' a reality—transforming any computation (from rollups to AI reasoning) into verifiable proofs through a decentralized ZK Prover Network. Lagrange claims its network supports the universal capability of 'proofs-for-anything' and is already live to support various use cases.  
Behind this is more than just a gimmick: Lagrange's product line includes DeepProve (for verifiable AI zkML), a decentralized Prover Network, and ZK Coprocessors, which collectively commercialize the process of 'generating proofs, verifying proofs, and integrating verification into contracts.' For enterprises and on-chain protocols that require privacy and auditability, this is a shortcut to directly putting trust on-chain. 
On the ecological level, Lagrange is connecting the 'demand side for proofs' (AI, rollups, bridges) with the 'supply side for proofs' (prover nodes, cloud computing power, hardware acceleration) into a market mechanism; once this market is established, proofs will no longer be scarce research resources but will become a pay-per-use infrastructure. In the long run, whoever first scales AI verification and cross-chain proofs will be able to fill LA into the long-term 'tool demand' chain. 
