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Proof of `The full linearized response on pairs of actual cut profiles` (8th statement)

groundedproofs/Lax342547Proofs/DerivativeResponses.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

Extend the individual minus functional by zero on the other primal endpoint and both channel blocks, and descend through the actual barred quotient. Multiply it by an arbitrary allowed channel vector. All other endpoint responses vanish; the rank-one identity reads the plus contraction.