Proof of `Two-sided Gram normalization for individually injective frames` (1st statement)
groundedproofs/Lax342547Proofs/GramNormalization.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
Failure of column injectivity is positive row corank of the transpose. Transpose preserves the uniform matrix law, so the checked one-relation corank bound gives 2^(number of columns - ambient dimension).