Proof of `Ordered atom products in the actual gradient form` (2nd statement)
groundedproofs/Lax342547Proofs/AtomProducts.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
Only allowed distinct-atom evaluations are tested. Outside the incident stars both prescribed bits vanish. On the diagonal each ordered product occurs twice and cancels, so no same-atom evaluations need be prescribed.