Proof of `Actual frame observations realize the nominal channel contractions` (2nd statement)
groundedproofs/Lax342547Proofs/RawContractions.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 two channel evaluation maps are Y-transpose P and X-transpose Q. Their matrix pairing is the original channel trace contraction by cyclic trace. Sum these identities over the actual component tensors.