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Proof of `The symmetric binary gradient form`

groundedproofs/Lax342547Proofs/GradientForm.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

Interchanging arguments permutes the symmetrized terms. On the diagonal each such pair cancels in characteristic two, and each binary scalar squares to itself.