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Proof of `Polar rank of the formal mixer quadratic` (1st statement)

groundedproofs/Lax342547Proofs/FormalQuadratic.lean · lax-342547

What this proof establishes

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitHub

Description

Expand the four evaluations of the affine quadratic in the binary field. The constant, linear, and translated quadratic terms occur twice and cancel; only the symmetrized bilinear part on A(u), A(v) remains.