Proof of `Well-defined channel contractions on projected tensor spaces` (4th statement)
groundedproofs/Lax342547Proofs/TensorContractions.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
Any two ambient extensions agree on every generating outer product. Linearity extends this equality to the whole projected tensor space.