Proof of `Table contractions on effective profiles and their full extensions`
groundedproofs/Lax342547Proofs/TableContractions.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 full channel maps restrict to the two table evaluations on the projected primal factors. Extension independence of each tensor contraction therefore gives equality on every effective component. Summing gives the asserted identity on the entire effective profile.