Proof of `Gram-conditioned columns and their rank-failure probability` (4th statement)
groundedproofs/Lax342547Proofs/GramColumns.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
A left inverse of the plus frame makes its transpose surjective. Left multiplication therefore sends a uniform minus matrix to the uniform Gram matrix.