Proof of `Shuffle-finite coordinates in minimal formal realizations` (2nd statement)
groundedproofs/Lax825748Proofs/ShuffleFinite.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
Use the Lie residual kernel and a complement of size equal to the Lie rank. The shuffle-finite normalized coordinates give a formal representation whose state-coordinate series are exactly the chosen residual coordinates.