Proof of `Full response obstructions are effective profiles plus selected atoms` (7th statement)
groundedproofs/Lax342547Proofs/EffectiveObstructions.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
Apply sparse key elimination to every column and to the columns of the transposed matrix. Actual projected pin row/column membership then gives tensor membership in the two projected pin factors.