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Proof of `Joint channel law and its independent-column density` (1st statement)

groundedproofs/Lax342547Proofs/ChannelDensity.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.

Read the Lean proof on GitHub

Description

The reference raw law is a product over components, and so is its channel pushforward. Multiplying the component bounds gives the paper's fixed joint density constant 2^(|E|(h²+2)).