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` (4th 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

Swap the finite matrix indices and use symmetry of the channel dot product. No symmetry of the input matrix is assumed.