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# Library prosa.model.job.properties

Require Export prosa.behavior.all.
In this section, we introduce properties of a job.
Section PropertiesOfJob.
Assume that job costs are known.
Context {Job : JobType}.
Context `{JobCost Job}.
Consider an arbitrary job.
Variable j : Job.
The job cost must be positive.
Definition job_cost_positive := job_cost j > 0.
End PropertiesOfJob.
In the next section, we lift the above property to the level of arrival sequences.
Section PropertiesOfAllJobs.
Consider any type of jobs...
Context {Job : JobType}.
... and the cost associated with each job.
Context `{JobCost Job}.
Next, consider any arrival sequence of such jobs.
Variable arr_seq : arrival_sequence Job.
We say that the arrival sequence has positive job costs if every job in the sequence has positive cost.
Definition arrivals_have_positive_job_costs :=
∀ j,
arrives_in arr_seq j →
job_cost_positive j.
End PropertiesOfAllJobs.