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Proof of `Sparse residual contractions belong to the actual primal pins` (2nd statement)

groundedproofs/Lax342547Proofs/PrimalContractions.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 matrix contraction entrywise and interchange the finite sums. Each label keeps its selector row factor, with a new base coefficient.