Proof of `A Set of Jobs Is Feasible Exactly When It Satisfies Both Conditions` (2nd 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.
In the paper
- page 2 of this submission's paper
Description
Condition 1 is a finite comparison of sums; Condition 2 need only be tested at the start time of each selected job, since the busiest instant of a set of intervals is the left endpoint of one of them.