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Proof of `A selected affine ray determines its moment block` (1st statement)

groundedproofs/Lax342547Proofs/SelectedMoments.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 sandwich entrywise. On the diagonal symmetry cancels its two mixed terms; the Boolean square and moment diagonal identity force the constant row to be the selected affine vector times the constant entry. Substitution in every entry leaves only its point moment.