Lax Lean Archive

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Proof of `Coupled route sampling with shared vertex images` (2nd statement)

groundedproofs/Lax263307Proofs/CoupledRouteSampling.lean · lax-263307

What this proof establishes

thm✓Lax263307.CoupledRouteSampling (2nd 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

Positive joint probability forces positive conditional probability for every edge. Conditional support fixes endpoints and gives simple graph routes.