Proof of `Full response obstructions are effective profiles plus selected atoms` (2nd 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
Subtract the selected scalar atoms supplied by the full obstruction decomposition. The remainder retains full annihilation and bounded unselected component supports. Every actual component is therefore in its projected pin tensor space, so both remainder profiles are effective.