Lagrange's technology stack has its distinct focus. DeepProve has engineered zkML (verifiable machine learning): enabling large model inference to generate zero-knowledge proofs, thus providing verifiability while protecting model/data privacy; this is highly valuable for advertising risk control, compliance auditing, and trustworthy AI services. 
The decentralized Prover Network is the core of the supply side—project's official website and documentation mention that the network has been operated by hundreds of operators (including large validators/cloud service participants) within the ecosystem, aiming to make the concurrency capability and reliability of proofs a scalable public resource. To ensure quality, Lagrange introduces staking, penalties, and service level constraints at the economic level, linking provers' earnings with availability and correctness. 
The ZK Coprocessor directly embeds proof capabilities into smart contracts and on-chain query scenarios, such as achieving provable execution for on-chain SQL queries. The engineering value of the combination of the three lies in providing specialized yet interoperable execution paths for different types of proof requests (AI, rollup, bridge, contract verification), enabling mechanisms for 'who computes, how to verify, who pays.' 
