Proof of `Lie rank is the least formal realization dimension` (2nd statement)

groundedproofs/Lax825748Proofs/Rank.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.

Read the Lean proof on GitHub

Description

Every Lie residual is a linear combination of the dd tangent-output series obtained by differentiating the output trajectories at the origin.