Proof of `Every Instance May Be Assumed to Have Distinct Endpoints` (1st statement)
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.
Description
After scaling, and , so two endpoints can coincide only if they belong to the same job — and a job's own two endpoints differ because its processing time is positive.