# Morse–Kelley set theory

For Rocq libraries built over Morse–Kelley set theory, Megrez couples a general coding agent with a rebuildable knowledge graph, a short-burst interactive proving loop and a three-check acceptance pipeline to formalize a textbook chapter by chapter. On the point-set topology corpus MKTopos it covers 12 modules, 262 .v files, 3,894 declarations and 2,529 completed Qed proofs across 102,122 lines of proof script; in retrieval benchmarks, exact-identifier lookup at 100,000 nodes drops from 72.29 ms to 1.23 ms in p95 latency.

For Rocq libraries built over Morse–Kelley set theory, Megrez couples a general coding agent with a rebuildable knowledge graph, a short-burst interactive proving loop and a three-check acceptance pipeline to formalize a textbook chapter by chapter. On the point-set topology corpus MKTopos it covers 12 modules, 262 .v files, 3,894 declarations and 2,529 completed Qed proofs across 102,122 lines of proof script; in retrieval benchmarks, exact-identifier lookup at 100,000 nodes drops from 72.29 ms to 1.23 ms in p95 latency.