Proof of `Gradient residuals vanish on effective profiles and selected atoms` (2nd statement)
groundedproofs/Lax342547Proofs/RecipeResiduals.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
The four row-sum identities at one endpoint are precisely the two-list self and opposite gradient equations. Enumerate the two possible target endpoints to identify their prescribed opposite p values.