Proof of `Sparse unselected primal vectors in barred spaces lie in the pins` (1st statement)
groundedproofs/Lax342547Proofs/BarredElimination.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.
Description
Expand the actual individual key span using its at most fourteen generators. Sparse fresh coefficient extraction kills every base-vector coefficient, including inactive generators, hence their entire sum.