Proof of `Formal coordinates on the annihilator of a Lie subalgebra` (4th statement)
groundedproofs/Lax825748Proofs/FormalCoordinates.lean · lax-825748
What this proof establishes
Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.
Description
The finite coefficient system is triangular with nonzero factorial diagonal. Solve it degree by degree, then use the adapted PBW basis to identify series in the annihilator from their complementary moments.