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Proof of `Unselected sparse vectors cannot conceal fresh key coefficients`

groundedproofs/Lax342547Proofs/SparseKeyCoefficients.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

Adjoin the at most fourteen key labels to the sparse support and extract each fresh key coefficient through the pin quotient. The unselected support contributes zero, and list injectivity isolates the tested key.