Proof of `Sparse normalized representatives of shared concrete tensors` (1st 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
Each nonzero cut matrix has rank at least one. Sum this inequality over the unordered components, counting the zero matrices as zero.