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Proof of `Symmetric low-rank factorization, including characteristic two` (1st statement)

groundedproofs/Lax342547Proofs/SymmetricFactorization.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

Choose a rank-r symmetric factorization for each matrix. Its two factors encode the original matrix and use |I|r+r² binary entries.