Proof of `Sparse normalized representatives of shared concrete tensors` (3rd statement)
groundedproofs/Lax342547Proofs/SparseRepresentatives.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 trace identity and concrete self-Gram identity equate eta on every component of the two shared tensors. The eta-valued representatives therefore differ by a constant. Their majority zero sets intersect, forcing that constant to vanish before summing the values over tags.