Lax Lean Archive

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Proof of `Coupled route sampling with shared vertex images` (1st statement)

groundedproofs/Lax263307Proofs/CoupledRouteSampling.lean · lax-263307

What this proof establishes

thm✓Lax263307.CoupledRouteSampling (1st statement)

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

For each fixed vertex assignment, conditional edge routes form a normalized product law. Sum them out, then sum the uniform vertex law.