Proof of `Conditional independence of the two channel frames` (3rd statement)
groundedproofs/Lax342547Proofs/ConditionalChannels.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 concrete completion equivalence identifies each fixed-P,Q fiber with the Cartesian product of its independently constrained X and Y matrices. Transporting the uniform law along this bijection gives the product law.