Proof of `Factorization and counting of low-rank binary matrices` (1st statement)
groundedproofs/Lax342547Proofs/LowRankCounting.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
Choose one factorization for each low-rank matrix. Its two factors encode it injectively and use (|I|+|J|)r binary entries.