Proof of `Polar rank of the formal mixer quadratic` (2nd statement)
groundedproofs/Lax342547Proofs/FormalQuadratic.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 binary polar matrix is the Gram matrix of the pulled-back symmetrized form on the coordinate basis. That basis spans, so its matrix rank equals the rank of the bilinear map.