Proof of `The full linearized response on pairs of actual cut profiles` (1st 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
Both factors of a selected atom are incident key directions. Its pure response is zero, and each allowed derivative quotient map also kills its key input, so the full response is zero.