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Proof of `The exact space of binary base moments`

groundedproofs/Lax342547Proofs/BaseMoments.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

Point moments satisfy symmetry and the binary diagonal identity. Conversely, expand a matrix in the constant, diagonal, and symmetric off-diagonal generators. Each generator is a sum of at most four point moments.