Proof of `Sparse unselected primal vectors in barred spaces lie in the pins` (2nd 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
A primal vector has zero channel projections. In its pin/private decomposition those projections lie in complementary protected and private spaces, so both vanish; the channel-supported private vector is zero and the original vector is in the pin.