While this submission is a draft, it cannot be used by other submissions.

Proof of `Baseline contractions on the selected atoms` (1st statement)

groundedproofs/Lax342547Proofs/FrozenValues.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

In each incident component both primal key directions are frozen. Thus both channel evaluation vectors are unchanged. Their dot product is the outer-product contraction of that atom; other components vanish.