Proof of `Well-defined channel contractions on projected tensor spaces` (1st 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
The matrix of the pulled-back channel dot product evaluates on an outer product as that bilinear form on its two generating vectors.