Proof of `Analytic representations satisfy the convergence hypothesis`
groundedproofs/Lax825748Proofs/NecessaryConvergence.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
Every finite family of Lie polynomials acts by convergent vector fields. Apply the factorial estimate to this finite alphabet, then compare the total factorial with the multi-index factorial.