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Proof of `Conditional independence of the two channel frames` (4th statement)

groundedproofs/Lax342547Proofs/ConditionalChannels.lean · lax-342547

What this proof establishes

Assuming the claims on the left, the claim on the right holds — checked by the archive's pipeline. Proof code is not displayed here.

Read the Lean proof on GitHub

Description

Filtering and renormalizing the actual uniform raw-frame law at fixed P,Q is uniform on that fiber. Its channel images therefore have exactly the product completion law proved above.