Proof of `Binary prescriptions at all endpoints of a paired scalar recipe` (3rd statement)
groundedproofs/Lax342547Proofs/PairedRecipes.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
At either endpoint the opposite coupled equation supplies the row-sum compatibility. Apply the numerical prescription theorem, then repeat for the reversed unit roles. The resulting four prescriptions concern only distinct atoms and imply the full selected-atom gradient identities.