Proof of `Ordered atom products in the actual gradient form` (1st 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
Separate the tester part from the two ordered mixer sums. The numerical tester record determines the first part; the ordered product identities determine the other two exactly.