Proof of `Pure bilinear responses detect quotient tensors` (1st statement)
groundedproofs/Lax342547Proofs/TensorAnnihilators.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
Test every product of quotient functionals. Double annihilation puts the contracted tensor in the left subspace; the two-quotient rank theorem then bounds its rank. Coordinate duality preserves the original rank.