Proof of `The full linearized response on pairs of actual cut profiles` (8th statement)
groundedproofs/Lax342547Proofs/DerivativeResponses.lean · lax-342547
What this proof establishes
no assumptions
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
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.