Proof of `Formal coordinates on the annihilator of a Lie subalgebra` (3rd statement)
groundedproofs/Lax825748Proofs/CanonicalCoordinates.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
Take the coefficients dual to the degree-one complement monomials in an adapted PBW basis. They vanish on all monomials containing a stabilizer factor.