The phrase "already worked through" is correct and usable in written English.
It can be used to indicate that a particular issue or topic has been addressed or resolved prior to the current discussion.
Example: "We have already worked through the budget concerns in our last meeting, so we can focus on the new project today."
Alternatives: "previously addressed" or "already resolved".
You don't, unless you have already worked through the logic of the code to know what "snowball" and "breakeven" mean and that, for someone who almost certainly did not write the code in the first place, is no easy task.
Naturally, Miss Marple has worked out every detail of the crime and takes us through it with excruciating thoroughness, though only after the killer has already worked through the very long list of people she planned to bump off.
For example, the likes of Facebook have already worked through the privacy and legal concerns, which has saved Twitter a huge amount of time when launching the new product.
Antonio Hart had already worked through a number of different styles -- bebop with a free time feeling, powerhouse rhythm-and-blues, a bit of gospel -- but a song dedicated to the recently deceased pop-jazz icon Grover Washington Jr. gave him the opportunity to take his set in yet another direction.
We have already worked through an example: we used the Church-Rosser theorem to show that the equation K = I is not a theorem of λ.
HGA had already worked through designs for a picnic shelter, bath house and trail head shelter - and proposed a tree house.
Kendall said tens of thousands of merchants are already working through those platforms.
Today, we American moms already work through pregnancy up until the last minute, barring complications.
The share repurchase program is on top of the $300 million share repurchase program Groupon is already working through, which has $83 million authorized repurchases remaining as of March 31.
My friend, who was already working through health issues of her own, was beside herself when she called me about the distress she and the child were experiencing.
After the schools and support staff are trained on the WITS curricula and recipes, the programming will be worked into 12 rural schools where Save the Children is already working through their CHANGE (Creating Healthy Active and Nurturing Growing Up Environments) program.
