〜上で
after (and based on); when it comes to
Verb た-form + 上で · Noun + の + 上で · Verb dictionary form + 上で
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上で has two uses.
After a た-form, it means "after doing, and on that basis": よく考えた上で、決めてください, "please decide after thinking it over carefully". The first step is a necessary preparation for the second. It's more deliberate than あとで, which only gives the order.
After a dictionary form, it means "when it comes to, in the course of": 日本で生活する上で、日本語は欠かせない, "when it comes to living in Japan, Japanese is essential". The second part is usually a statement about what's important, necessary or a problem.
Both are a little formal and common at work. After a noun, use の: 相談の上で.
Examples
よく考えた上で、決めてください。
Please decide after thinking it over carefully.
両親と相談した上で、返事をします。
I'll give you my answer after discussing it with my parents.
説明をよく読んだ上で、サインしてください。
Please sign after reading the explanation carefully.
日本で生活する上で、日本語は欠かせない。
When it comes to living in Japan, Japanese is essential.
仕事をする上で、一番大切なのは信頼だ。
When it comes to work, the most important thing is trust.