How Proofs Are Generated: Witness, Constraint System, and Proving Key

This lesson is for enrolled learners

The concept You walk the generation pipeline in order: compile the circuit to a constraint system, compute a witness from private and public inputs, load a proving key, and emit a proof plus public inputs. The lesson is meant to make later “it failed at prove time” errors diagnosable — you should know which stage threw and what file it……

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