While this submission is a draft, it cannot be used by other submissions.

Proof of `Rank-one derivative tests are scalar pairings of residual contractions` (3rd statement)

groundedproofs/Lax342547Proofs/DerivativeContractions.lean · lax-342547

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

The baseline paired with the rank-one channel value is a product of coordinate functionals. The product-test identity gives exactly the baseline evaluation of the contracted residual vector.