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Proof of `Formal forward and reverse rows of a unary mixer test` (9th statement)

groundedproofs/Lax342547Proofs/UnaryMixer.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.

Read the Lean proof on GitHub

Description

The actual atom test has the polar matrix of the affine formal quadratic. Its rank is the rank of the pulled-back polar map, so the formal substitution estimate applies directly to the actual Z bits.