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Proof of `Conditioning graph routes on uniform endpoints` (3rd statement)

groundedproofs/Lax263307Proofs/ConditionalRoutes.lean · lax-263307

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

Every positive-probability route is nonempty and has a unique ordered endpoint pair. All other terms in the endpoint sum vanish.