Proof of `Ordered atom products in the actual gradient form` (3rd 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
On an incident component the atom is its point outer product, and it is zero on every other component. Pairing two outer products through L and R factors into their two ordered bilinear evaluations.